To determine the value of x, multiply both sides of the equation by 7
\(\begin{gathered} 7\cdot\sin 17=7\cdot\frac{x}{7} \\ x=7\cdot\sin 17 \\ x=2.05 \end{gathered}\)how many square feet of outdoor carpet will we need for this hole 12 2 3 7
Answer: 122376
Step-by-step explanation:
The expressions A, B, C, D, and E are left-hand sides of trigonometric identities. The expressions 1, 2, 3, 4, and 5 are right-hand side of identities. Match each of the left-hand sides below with the appropriate right-hand side.
A. tan(x)
B. cos(x)
C. sec(x)csc(x)
D. 1â(cos(x))^2/ cos(x)
E. 2sec(x)
1. sin(x)tan(x)
2. sin(x)sec(x)
3. tan(x)+cot(x)
4. cos(x)/1âsin(x)+1âsin(x)/cos(x)
5. sec(x)âsec(x)(sin(x))2
Answer:
\(A.\ \tan(x) \to 2.\ \sin(x) \sec(x)\)
\(B.\ \cos(x) \to 5. \sec(x) - \sec(x)\sin^2(x)\)
\(C.\ \sec(x)csc(x) \to 3. \tan(x) + \cot(x)\)
\(D. \frac{1 - (cos(x))^2}{cos(x)} \to 1. \sin(x) \tan(x)\)
\(E.\ 2\sec(x) \to\ 4.\ \frac{\cos(x)}{1 - \sin(x)} +\frac{1-\sin(x)}{\cos(x)}\)
Step-by-step explanation:
Given
\(A.\ \tan(x)\)
\(B.\ \cos(x)\)
\(C.\ \sec(x)csc(x)\)
\(D.\ \frac{1 - (cos(x))^2}{cos(x)}\)
\(E.\ 2\sec(x)\)
Required
Match the above with the appropriate identity from
\(1.\ \sin(x) \tan(x)\)
\(2.\ \sin(x) \sec(x)\)
\(3.\ \tan(x) + \cot(x)\)
\(4.\ \frac{cos(x)}{1 - sin(x)} + \frac{1 - \sin(x)}{cos(x)}\)
\(5.\ \sec(x) - \sec(x)(\sin(x))^2\)
Solving (A):
\(A.\ \tan(x)\)
In trigonometry,
\(\frac{sin(x)}{\cos(x)} = \tan(x)\)
So, we have:
\(\tan(x) = \frac{\sin(x)}{\cos(x)}\)
Split
\(\tan(x) = \sin(x) * \frac{1}{\cos(x)}\)
In trigonometry
\(\frac{1}{\cos(x)} =sec(x)\)
So, we have:
\(\tan(x) = \sin(x) * \sec(x)\)
\(\tan(x) = \sin(x) \sec(x)\) --- proved
Solving (b):
\(B.\ \cos(x)\)
Multiply by \(\frac{\cos(x)}{\cos(x)}\) --- an equivalent of 1
So, we have:
\(\cos(x) = \cos(x) * \frac{\cos(x)}{\cos(x)}\)
\(\cos(x) = \frac{\cos^2(x)}{\cos(x)}\)
In trigonometry:
\(\cos^2(x) = 1 - \sin^2(x)\)
So, we have:
\(\cos(x) = \frac{1 - \sin^2(x)}{\cos(x)}\)
Split
\(\cos(x) = \frac{1}{\cos(x)} - \frac{\sin^2(x)}{\cos(x)}\)
Rewrite as:
\(\cos(x) = \frac{1}{\cos(x)} - \frac{1}{\cos(x)}*\sin^2(x)\)
Express \(\frac{1}{\cos(x)}\ as\ \sec(x)\)
\(\cos(x) = \sec(x) - \sec(x) * \sin^2(x)\)
\(\cos(x) = \sec(x) - \sec(x)\sin^2(x)\) --- proved
Solving (C):
\(C.\ \sec(x)csc(x)\)
In trigonometry
\(\sec(x)= \frac{1}{\cos(x)}\)
and
\(\csc(x)= \frac{1}{\sin(x)}\)
So, we have:
\(\sec(x)csc(x) = \frac{1}{\cos(x)}*\frac{1}{\sin(x)}\)
Multiply by \(\frac{\cos(x)}{\cos(x)}\) --- an equivalent of 1
\(\sec(x)csc(x) = \frac{1}{\cos(x)}*\frac{1}{\sin(x)} * \frac{\cos(x)}{\cos(x)}\)
\(\sec(x)csc(x) = \frac{1}{\cos^2(x)}*\frac{\cos(x)}{\sin(x)}\)
Express \(\frac{1}{\cos^2(x)}\ as\ \sec^2(x)\) and \(\frac{\cos(x)}{\sin(x)}\ as\ \frac{1}{\tan(x)}\)
\(\sec(x)csc(x) = \sec^2(x)*\frac{1}{\tan(x)}\)
\(\sec(x)csc(x) = \frac{\sec^2(x)}{\tan(x)}\)
In trigonometry:
\(tan^2(x) + 1 =\sec^2(x)\)
So, we have:
\(\sec(x)csc(x) = \frac{\tan^2(x) + 1}{\tan(x)}\)
Split
\(\sec(x)csc(x) = \frac{\tan^2(x)}{\tan(x)} + \frac{1}{\tan(x)}\)
Simplify
\(\sec(x)csc(x) = \tan(x) + \cot(x)\) proved
Solving (D)
\(D.\ \frac{1 - (cos(x))^2}{cos(x)}\)
Open bracket
\(\frac{1 - (cos(x))^2}{cos(x)} = \frac{1 - cos^2(x)}{cos(x)}\)
\(1 - \cos^2(x) = \sin^2(x)\)
So, we have:
\(\frac{1 - (cos(x))^2}{cos(x)} = \frac{sin^2(x)}{cos(x)}\)
Split
\(\frac{1 - (cos(x))^2}{cos(x)} = \sin(x) * \frac{sin(x)}{cos(x)}\)
\(\frac{sin(x)}{\cos(x)} = \tan(x)\)
So, we have:
\(\frac{1 - (cos(x))^2}{cos(x)} = \sin(x) * \tan(x)\)
\(\frac{1 - (cos(x))^2}{cos(x)} = \sin(x) \tan(x)\) --- proved
Solving (E):
\(E.\ 2\sec(x)\)
In trigonometry
\(\sec(x)= \frac{1}{\cos(x)}\)
So, we have:
\(2\sec(x) = 2 * \frac{1}{\cos(x)}\)
\(2\sec(x) = \frac{2}{\cos(x)}\)
Multiply by \(\frac{1 - \sin(x)}{1 - \sin(x)}\) --- an equivalent of 1
\(2\sec(x) = \frac{2}{\cos(x)} * \frac{1 - \sin(x)}{1 - \sin(x)}\)
\(2\sec(x) = \frac{2(1 - \sin(x))}{(1 - \sin(x))\cos(x)}\)
Open bracket
\(2\sec(x) = \frac{2 - 2\sin(x)}{(1 - \sin(x))\cos(x)}\)
Express 2 as 1 + 1
\(2\sec(x) = \frac{1+1 - 2\sin(x)}{(1 - \sin(x))\cos(x)}\)
Express 1 as \(\sin^2(x) + \cos^2(x)\)
\(2\sec(x) = \frac{\sin^2(x) + \cos^2(x)+1 - 2\sin(x)}{(1 - \sin(x))\cos(x)}\)
Rewrite as:
\(2\sec(x) = \frac{\cos^2(x)+1 - 2\sin(x)+\sin^2(x)}{(1 - \sin(x))\cos(x)}\)
Expand
\(2\sec(x) = \frac{\cos^2(x)+1 - \sin(x)- \sin(x)+\sin^2(x)}{(1 - \sin(x))\cos(x)}\)
Factorize
\(2\sec(x) = \frac{\cos^2(x)+1(1 - \sin(x))- \sin(x)(1-\sin(x))}{(1 - \sin(x))\cos(x)}\)
Factor out 1 - sin(x)
\(2\sec(x) = \frac{\cos^2(x)+(1- \sin(x))(1-\sin(x))}{(1 - \sin(x))\cos(x)}\)
Express as squares
\(2\sec(x) = \frac{\cos^2(x)+(1-\sin(x))^2}{(1 - \sin(x))\cos(x)}\)
Split
\(2\sec(x) = \frac{\cos^2(x)}{(1 - \sin(x))\cos(x)} +\frac{(1-\sin(x))^2}{(1 - \sin(x))\cos(x)}\)
Cancel out like factors
\(2\sec(x) = \frac{\cos(x)}{1 - \sin(x)} +\frac{1-\sin(x)}{\cos(x)}\) --- proved
hi would like some help asap
Answer:
B. quadratic
Step-by-step explanation:
You want to know the kind of function that would best fit the points shown on the graph.
SlopeThe points on the graph demonstrate a slope that starts out positive and decreases through 0 to a slope with a negative value.
A linear function has a constant slope.
An exponential function has a continuously increasing or continuously decreasing slope.
A quadratic function has a slope that changes sign, matching the slope of the curve joining the given points.
The equation that best fits the given data will be quadratic.
<95141404393>
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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If electricity is billed at a rate of $0.75 per KWH and you used on average 120 KWHs per month, what would you expect to pay each month?
You would expect to pay $90 each month for electricity based on an average usage of 120 KWHs per month.
How to find the expected monthly payTo calculate the monthly cost of electricity, you can multiply the average number of kilowatt-hours (KWH) used per month by the cost per KWH.
Given:
Cost per KWH: $0.75
Average monthly usage: 120 KWHs
To find the monthly cost, you can multiply the cost per KWH by the average monthly usage:
Monthly Cost = Cost per KWH * Average monthly usage
Plugging in the values, we have:
Monthly Cost = $0.75/KWH * 120 KWHs
Calculating the result:
Monthly Cost = $90
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Addison can text 52 words in 8 minutes. At this rate, how many minutes would it take her to text 65 words?
find the unknown measures. round lengths to the nearest hundredth and angle measures to the nearest degree.
The unknown measures are from right angle triangle is
KM = 10.68
∠m = 35 and ∠k = 55
Given that
KL =6.2
LM =8.7
KM = x
The trigonometric ratios of a given acute angle are the ratios of the sides of a right-angled triangle with respect to that angle.
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.
The triangle that is presented is a right angle triangle.
\(KM^{2}\) = \(LM^{2}\) + \(KL^{2}\)
KM = \(\sqrt{(8.7)^{2} + (6.2)^{2} }\)
KM = \(\sqrt{114.13}\)
KM = 10.68
Now figure out the angles.
∠m = sinm
= P/H
=6.2/10.2
∠m = 35
Again,
∠k = sink
=P/H
= 8.7/10.6
∠k = 55
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Please look at the photo for the question. Thank you!
The function g(x) = x² + 4x has a: A. minimum.
The minimum value occur at x = -2.
The function's minimum value is -4.
How to determine the axis of symmetry and vertex of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
For the given quadratic function g(x) = x² + 4x, we have:
a = 1, b = 4, and c = 0
Axis of symmetry, Xmax = -b/2a
Axis of symmetry, Xmax = -(4)/2(1)
Axis of symmetry, Xmax = -2
Next, we would determine vertex as follows;
g(x) = x² + 4x
g(-2) = -(-2)² + 4(-2)
g(-2) = -4.
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What is the sign of the product of (-1/5) (-2/3) (-1/9) (-4/7)
Answer:
Step-by-step explanation:
4 minuses give a plus
8/945
Help pls George is building a fence around a rectangular dog run. He is using his house as one side of the run. The area of the dog run will be 240 square feet. The length of the run is 30 feet, and the width is (30 minus x) feet. The diagram below shows his plan.
Recall the formulas for area and perimeter: A = lw and P = 2l + 2w.
The width of the dog run is 20 feet.
In the given problem, the length of the dog run is given as 30 feet.
The area of the dog run is also given as 240 square feet.
Using the formula for the area of a rectangle (A = lw), we can solve for the width (w).
Rearranging the formula, we have w = A / l.
Plugging in the values, we get w = 240 / 30 = 8 feet.
Since the width is given as (30 minus x) feet, we can set up an equation:
30 - x = 8. Solving for x, we find x = 22.
Therefore, the width of the dog run is 20 feet (30 - 22 = 8).
In this problem, the length and width of the dog run are defined by the dimensions of the fence being built around it.
The area of the dog run is given as 240 square feet.
By using the formula for the area of a rectangle, we can solve for the width. We are also given that the length is 30 feet.
Setting up an equation with the given width (30 minus x) and solving for x, we find that x is equal to 22.
This means that the width of the dog run is 8 feet. The main answer to the problem is that the width of the dog run is 20 feet (30 - 22 = 8).
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Answer and EXplanatrion please
Answer:
whats nine + 10
Step-by-step explanation:
21
pencil is .10
pen is .90
Step-by-step explanation:
x = pencil y = pen
3x + y = 1.20
7x + 2y = 2.50
try make x or y cancelable
-2 times (3x + y = 1.20) = -6x - 2y = - 2.40
7x + 2y = 2.50
-6x - 2y = - 2.40
x = .10
plug .10 back into one of the equations
3(.10) + y = 1.20
.30 + y = 1.20
y = .90
A rectangular photograph is 7 inches long and 6 inches wide. The photograph is framed using a material that is x inches wide. If the area of the frame and the photograph combined is 156 square inches, what is the width of the framing material?
The width of the framing material is 19inches
What is area of shapes?The area of a shape is the “space enclosed within the perimeter or the boundary” of the given shape. We calculate the area for different shapes using math formulas. Area is measured in square unit.
The area of a rectangle is Length × width
The Area of the photograph is L×W = 7×6= 42square inches
when a frame of x inches wide is added to the size of the photograph, the total width of the of the framed photograph is 6+x
The area of the framed photograph = 7(6+x)= 156
42+ 7x= 156
7x= 156-42
7x=114
divide both sides by 7
x= 114/7
x=16.3 inches
therefore the width of the frame is 16.3 inches
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Divide using synthetic division. Write your answer in fraction form.
(3x³ + 4x² - 15x) ÷ (x −2)
The division of 3x³ + 4x² - 15x by x - 2 will have a quotient of 3x² + 10x + 5 and a remainder of 10 using synthetic division.
Dividing with long divisionThe procedure for synthetic division involves the following steps:
Divide.
Multiply.
Subtract.
Bring down the next term, and
Repeat the process to get zero or arrive at a remainder.
We shall divide the 3x³ + 4x² - 15x by x - 2 as follows;
3x³ divided by x equals 3x²
x - 2 multiplied by 3x² equals 3x² - 6x²
subtract 3x² - 6x² from 3x³ + 4x² - 15x will give 10x² - 15x
10x² divided by x equals 10x
x - 2 multiplied by 10x equals 10x - 15x
subtract 10x - 15x from 10x² - 15x will give us 5x
5x divided by x equals 5
x - 2 multiplied by 5 equals 5x - 10
subtract 5x - 10 from 5x will result to a remainder of 10
Therefore, 3x³ + 4x² - 15x by x - 2 is equal to the quotient of 3x² + 10x + 5 with a remainder of 10.
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How do you factor trinomials? How can we check the binomial factors to verify that they are truly factors? Create an example of a trinomial and factor it to its binomial factors.
Answer:
See the step-by-step
Step-by-step explanation:
How do you factor trinomials? -
You factor trinomials by using methods like FOIL multiplication and simple factoring patterns.
How can we check the binomial factors to verify that they are truly factors?
We can multiply the binomial factors out to see that they are truly factors.
Create an example of a trinomial and factor it to its binomial factors.
\(x^{2}\)+5x+6 factors into
(x+2)(x+3).
Sorry for the trashy answer.
We have an example of a trinomial and factor it into its binomial factors.
x²+5x+6 also factors: (x+2)(x+3).
How do you factor trinomials? -We can factor trinomials by using methods like (FOIL) multiplication and simple factoring patterns.
We check the binomial factors to verify that they are truly a factor.
We can multiply the binomial factors to conclude that they are true factors.
Let's see an example of a trinomial and factor it into its binomial factors.
x²+5x+6
factors:
(x+2)(x+3).
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Please look at the pic and help!!
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
What is the area of a slice from a 12-inch pizza with a central angle of 50°?
Answer:
the answer for this is 15.7 inches to the second power
Step-by-step explanation:
if this helped you should mark this the brainliest answer
The area of the slice = Area of sector of a circle = 15.7 in.².
What is the Area of a Sector of a Circle?Area of sector of a circle = ∅/360 × πr².
Given the following:
Diameter = 12 in.Radius = 12/2 = 6 in.∅ = 50°Plug in the values:
Area of the slice = Area of sector of a circle = ∅/360 × πr² = 50/360 × π(6²)
Area of the slice = Area of sector of a circle = 15.7 in.².
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I don't need lengthy details I just want the answer
Answer:
Sue rode 1885 miles total
Step-by-step explanation:
There are 31 days in March, 30 in April, and 30 in May.
31 * 12 + 30 * 12 + 30 * 12 = 1092
There are 30 days in June and 31 in august.
30 * 13 + 31 * 13 = 793
Now we find the total:
1092 + 793 = 1885
A four-ounce serving of Campbell's Pork & Beans contains 5 grams of protein and 21 grams of carbohydrates A typical slice of "lite" rye bread contains 4 grams of protein and 12 grams of carbohydrates.
(a) I am planning a meal of "beans-on-toast" and I want it to supply 20 grams of protein and 80 grams of carbohy- drates. How should I prepare my meal?
(b)If I require A grams of protein and B grams of carbohy- drates, give a formula that tells me how many slices of bread and how many servings of Pork & Beans to use.
(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.
(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.
(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:
- Servings of Campbell's Pork & Beans: 4 servings.
- Slices of "lite" rye bread: 15 slices.
By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).
Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.
(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:
- Number of slices of bread (Bread): A divided by 4.
- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).
Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.
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Trina has a credit card that uses the adjusted balance method. For the first 10
days of one of her 30-day billing cycles, her balance was $780. She then
made a purchase for $170, so her balance jumped to $950, and it remained
that amount for the next 10 days. Trina then made a payment of $210, so her
balance for the last 10 days of the billing cycle was $740. If her credit card's
APR is 17%, which of these expressions could be used to calculate the
amount Trina was charged in interest for the billing cycle?
OA. (30)($780)
365
B.
O C.
D.
0.17
365
0.17
365
0.17
365
30
30
(10 $780+10 $950 +10 $210)
30
10
$780+10$950+10 $740
30
•30) ($570)
The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is (APR / 365) x 30 days x adjusted balance.
What is the adjusted balance method?The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.
The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.
Credit card interest method = adjusted balance method
Beginning balance = $780
Purchase = $170
Payment = $210
Adjusted balance, AB = $740 ($780 + $170 - $210)
APR = 17% = 0.17 (17/100)
The interest charged = (APR / 365) x 30 days x adjusted balance
= $10.34 [(0.17/365) x 30 x $740]
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A motorboat can maintain a constant speed of 11 mph relative to the water. The boat makes a trip upstream to a certain point in 52 minutes the return trip takes 36 minutes what is the speed of the current
Answer:
Complete the table by describing the type of transformation in each logo.
Solve the following equation by factoring
8x²-9x-14=0
Answer:
\(x = 2\\ \\x= -\dfrac 78\)
Step-by-step explanation:
\(~~~~~~~8x^2 -9x -14=0\\\\\implies 8x^2+7x-16x-14=0\\\\\implies x(8x+7)-2(8x+7)=0\\\\\implies (x-2)(8x+7) = 0\\\\\implies x = 2,~ x= -\dfrac 78\)
The graph of � = ∣ � ∣ y=∣x∣y, equals, vertical bar, x, vertical bar is shifted down by 9 99 units and to the right by 4 44 units. What is the equation of the new graph? Choose 1 answer: Choose 1 answer: (Choice A) � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 A � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 (Choice B) � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 B � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 (Choice C) � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 C � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 (Choice D) � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4y, equals, vertical bar, x, minus, 9, vertical bar, plus, 4 D � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4
An equation of the new graph is: A. y = ∣x - 4∣ - 9.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x - N)
Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) + N
Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:
y = ∣x - 4∣ - 9
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
HELPPP DUE IN FEW MINS ILL GIVE BRAINLESS
Answer:
C. Find the sum of all the values and then divide by the number of values
Step-by-step explanation:
Use properties of segments to solve for x
Answer:
Step-by-step explanation:
determine which number or numbers can be a solution for the inequality
32+a>44 11, 12, 13, 14
The numbers can be a solution for the inequality 32+a>44 is 13 and 14.
What is the solution set to an inequality or an equation?If the equation or inequality have variable terms, than there might be some values of those variables for which the equation or inequality might be correct. Such values are known as solution to that equation or inequality. To set of such values are called solution set to be considered equation or inequality.
Given that;
The inequality= 32+a>44
To solve the inequality 32 + a > 44, we need to isolate the variable "a" on one side of the inequality.
32 + a > 44
Subtract 32 from both sides:
a > 44 - 32
a > 12
This means that any number greater than 12 can be a solution to the inequality.
Therefore, the inequalities numbers 13 and 14 can be solutions, but 11 and 12 cannot.
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Of the last 20 trains to pull into Lakeside
Station, 14 were full. What is the
experimental probability that the next
train to pull in will be full?
Write your answer as a fraction or whole
number.
P(full) =
The experimental probability that the next train to pull into Lakeside Station will be full is 7/10.
The experimental probability of the next train to pull into Lakeside Station being full can be calculated by dividing the number of times a full train occurred by the total number of trains observed.
Given that out of the last 20 trains, 14 were full, we can express the experimental probability as a fraction:
P(full) = Number of full trains / Total number of trains observed
P(full) = 14 / 20
Simplifying the fraction, we get:
P(full) = 7 / 10
Therefore, the experimental probability that the next train to pull into Lakeside Station will be full is 7/10.
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I need help so, please help
Answer:
4.2
Step-by-step explanation:
In a 45°45°90° triangle, the ratios of the sides to the hypotenuse is x : x√2
So if x√2 = 6, x = 3√2
3√2 is approximately 4.2
Hope this helps.
Find the area and perimeter of the triangle
Answer: 25.2
Step-by-step explanation: hope the is helps :D
What is the rate of change of the function whose graph is a line passing through (3, 5) and (−1, 5)?
9514 1404 393
Answer:
zero
Step-by-step explanation:
The y-coordinates of the two points are the same, so the line through them is a horizontal line. There is no vertical change for any amount of horizontal change. The "rate of change" is 0.
54 out of 90 people have a cat. What percent of people have a cat?
Answer:
60% of people have a cat.
Step-by-step explanation:
That would be 54/90 times 100%, or 60%
60% of people have a cat.