We are asked to determine if the numbers that are written have lines of symmetry. A line of symmetry is a line that divides a figure into two equal mirror images. According to the shape of a number, this may or may not have a line of symmetry.
The first number written is 8. This number has the following line of symmetry:
It has a vertical and a horizontal line of symmetry.
The number 1 and the number 2 have no lines of symmetry, therefore, the statement is not correct.
The graph of a linear relationship contains the points (1,10) and (3,16) write the equation of the line in slope
Answer:
Step-by-step explanation:
The equation of the line with the given points is y = 6x - 4. This can be derived by calculating the slope of the line, which is 6, and then using the point-slope form of the equation of a line, y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. In this case, the given points are (x1, y1) = (1, 10), so the equation of the line is y - 10 = 6(x - 1) or y = 6x - 4.
Answer y == 3
+7
Step-by-step explanation:
The graph of a linear relationship contains the points (1, 10) and (3, 16).
Write the equation of the line in slope-intercept fo
Step-by-step explanation:
the general slope-intercept form is
y = ax + b
a is the slope, which is the ratio of "y coordinate change / x coordinate change" when going from one point to another on the line.
b is the y-intercept - the y value when x = 0.
for the slope we see
x changes by +2 (from 1 to 3)
y changes by +6 (from 10 to 16)
so, the slope a is +6/+2 = 3
and the semi-ready equation is
y = 3x + b.
now we use one of the points in the equation to solve for b. I picked (1, 10) :
10 = 3×1 + b = 3 + b
b = 7
so, the full equation is
y = 3x + 7
You have just been approved for a 30 year 5.5% fixed home mortgage. The monthly payment that you qualify for is $879.32. Use the table provided to determine the price of a home that can be purchased. A 5-column table with 4 rows titled Monthly Payments per 1000 dollars of mortgage. Column 1 is labeled Interest Rate (percent) with entries 5, 5.5, 6, 6.5. Column 2 is labeled 10 Years with entries 10.61, 10.86, 11.11, 11.36. Column 3 is labeled 20 years with entries 6.60, 6.88, 7.17, 7.46. Column 4 is labeled 30 years with entries 5.37, 5.68, 6.00, 6.33. Column 5 is labeled 40 years with entries 4.83, 5.16, 5.51, 5.86. a. $154,267 c. $156,753 b. $154,810 d. $157,153
Answer:
b. $154,810
Step-by-step explanation:
You want to know the price of a home that can be purchased for a monthly payment of $879.32 on a 30-year loan at 5.5%.
TableThe given table tells you the multiplier m used to find the monthly payment p from the loan amount P for different time periods and interest rates.
p = (P/1000)×m
ApplicationThe table value for a 30-year loan at 5.5% is m = 5.68. Solving the equation for P, we have ...
1000p/m = P
1000(879.32/5.68) = P ≈ 154,809.86 ≈ 154810
You qualify for a loan of $154,810.
__
Additional comment
The multiplier 5.68 is found on row 2 (5.5%) of column 4 (30 years).
By answering the presented question, we may conclude that As a result, equation the answer is (b) $154,810.
What is equation?A mathematical equation is a formula that connects two statements and denotes equivalence with the equals symbol (=). An equation is a mathematical statement that shows the equality of two mathematical expressions in algebra. In the equation 3x + 5 = 14, for example, the equal sign separates the variables 3x + 5 and 14. A mathematical formula describes the connection between the two sentences that occur on opposite sides of a letter. The symbol and the single variable are frequently the same. As in 2x - 4 Equals 2, for instance.
To establish the purchase price of a property, we must use the monthly payment and the table supplied to determine the mortgage amount that corresponds to the monthly payment.
According to the data, the monthly payment per $1000 of mortgage for a 30-year fixed mortgage at a 5.5% interest rate is $5.68.
Hence, to calculate the mortgage amount for a $879.32 monthly payment, we may apply the following formula:
Mortgage amount = monthly payment / mortgage payment per $1000
$879.32 mortgage amount / $5.68 per $1000
Loan amount = $154,810
As a result, the purchasing price of a house is $154,810.
As a result, the answer is (b) $154,810.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Turner’s backyard deck cost $38.31 per square meter to build. The deck is 9 meters wide and 11 meters long. How much did it cost to build the deck?
Answer:
$3792.69
Step-by-step explanation:
First, we would find the area,
Area = width x length
Area = 9 x 11
Area = 99\(m^{2}\)
Since each square meter costs $38.31, we would multiply the cost with the area,
Total Cost = 99 x 38.31
Total Cost = $3792.69
(Anyone can correct me if I'm wrong)
Due tonight plz help
Answer: 188
Step-by-step explanation:
Lines RS and ST are equal because this is an equilateral triangle.
18x-10=14x+34
4x-10=34
4x=44
x=11
Then you just plug in your X value into the equation.
18(11)-10=188
can someone help answer this and explain how you did it
Answer:
2
Step-by-step explanation:
You want the slope of segment DC given points A, B, C, D are collinear and the rise between B and A is 2 units, while the run is 1 unit.
Slope of a lineThe slope of a line is the same everywhere on the line. It is the same for segment DC as for segment BA on the same line.
slope = rise/run = 2/1 = 2
The slope of DC is 2.
<95141404393>
Thanks for reposting the pertinent question:
Therefore the SLOPE of DC:
DC = 2
Step-by-step explanation: Cheers to the person who has explained and answered the question correctly as well.Make a Plan: FORMULA FOR SLOPE OF A LINE: m = rise/run = y1 - y2 / x2 - x1POINTS: D, C, B, and A are COLLINEAR
Now, We can FIND That:SLOPE of: DC is Equal (=) To the SLOPE of: AB
So, Now, The SLOPE of AB:AB = 2/1 = 2
Now, we conclude that:Therefore the SLOPE of DC:
DC = 2
I hope this helps you!
A line passes through the points A(-1,7) and B(1,3). Write an equation of this line.
I am really have hard time doing this help.
Answer:
y=2x+1
Step-by-step explanation:
Solve:
\(m=\frac{3-7}{1-(-1)} =\frac{4}{2} =2\\m=2\)
Put in slope-intercept form:
\(3=2(1)+b\\3=2+b\)
-2 -2
\(b=1\)
End equation:
\(y=2x+1\)
Hope this helps! :)
The functions f(x) = −(x − 1^)2 + 5 and g(x) = (x + 2)^2 − 3 have been rewritten using the completing-the-square method. Apply your knowledge of functions in vertex form to determine if the vertex for each function is a minimum or a maximum and explain your reasoning.
If we write a quadratic in vertex form:
\(y=a(x-h)^2+k\)
Then:
\(\bold{a}\) \(\longrightarrow\) is the coefficient of \(x^2\)
\(\bold{h}\) \(\longrightarrow\) is the axis of symmetry.
\(\bold{k}\) \(\longrightarrow\) is the max/min value of the function.
Also:
If \(a > 0\) then the parabola will be of the form \(\cup\) and will have a minimum value.
\(a < 0\) then the parabola will be of the form \(\cap\) and will have a minimum value.
For the given functions:
\(a < 0\)
\(f(x)=-(x-1)^2+5\) this has a maximum value of \(\bold{5}\)
\(a > 0\)
\(f(x)=(x+2)^2-3\) this has a minimum value of \(\bold{-3}\)
A snail moves about 0.013m each second. About how hours would it take the snail to travel 174km? Show your work
With a speed of 0.013 m/s, the snail would need to traverse 174 km in about 3718 hours.
what is distance ?The term "distance" refers to the length or space across two points as well as objects. It is a tangible quality that can be quantified in a variety of ways, including in metres, kilometres, miles, or feet. The distance formula in mathematics, which is derived first from Pythagorean theorem, can be used to determine the separation in space or in a plane between two points. In a plane, for instance, the distance that separates (x1, y1) and (x2, y2) is represented by: D is equal to sqrt((x2 - x1)2 + (y2 - y1)2) .Sqrt stands for the square root function.
given
We can apply the following formula to resolve this issue:
Time = Speed / Distance
(0.013 m/s) x (3600 s/h) x (1 km/1000 m) = 0.013 m/s
0.013 m/s = 0.0468 km/h
The snail moves at a speed of 0.0468 km/h.
The snail must go 174 km in how many hours, according to the question. The following values can be entered in the formula above:
Distance times speed equals 174 km / 0.0468 km/h, or 3717.94 hours.
To the nearest hour, we round:
duration: 3718 hours
With a speed of 0.013 m/s, the snail would need to traverse 174 km in about 3718 hours.
To know more about distance visit :-
brainly.com/question/29130992
#SPJ9
Choose all the expressions that are equal to 5/9 multiply 8
Answer:
4.44
Step-by-step explanation:
the real answer is 4.44444444444
This is a drop down menu selection question (fill in the blanks.)
Renee is making a scale diagram of her MP3 player. The length of her scale drawing is 8 inches, and the width is 14 inches. The actual length of the MP3 player is 4 centimeters, and the width is 7 centimeters.
This is ____________
A. an enlargement
B. a reduction
C. a 1 : 1 representation
and the scale factor is_________
A. 5 inches per centimeter
B. 2 inches per centimeter
C. 4 inches per centimeter
D. 8 inches per centimeter
I'd really like you to explain and/or tell me where to get help with this geometry so I can help my son learn.
Answer:
1-A-ENLARGEMENT
2-B-2 INCHES PER CENTIMETER
Step-by-step explanation:
Its enlargement because it is bigger than the original. And is 2 inches because for every centimeter there are 2 inches.
Hope this helps, rate thanks and brainliest.
Answer:
2
Step-by-step explanation: Explanation:
The scale factor is the ratio between the scale drawing measures and the actual measures.
scale drawing length 8 inches
scale factor = ratio = -------------------------------- = --------------- = 2
actual length 4 inches
Also,
scale drawing width 14 inches
scale factor = ratio = ----------------------------- = --------------- = 2
actual width 7 inces
Helpppppppp please!!!!!!!!!!!
Answer:
a. (4, 13/6)
b. (4, -5/6)
c. (4, 5/6)
Step-by-step explanation:
sorry if it is not right.
A toy store received a shipment of 17 cases of teddy bears use compatible numbers to estimate the total number of teddy bears in the shipment. There are 12 bears per case.
Answer: The estimate is 200
Step-by-step explanation:
The exact amount would be 204 teddy bears, but you would it down to 200.
The graph of y= ax^2 + c contains the point (2,14). Which point lies on the graph of y=a(x-2)^2 + c?
Answer:
(4, 14)
Step-by-step explanation:
We are given;
Graph of: y = ax² + c
That it contains point (2, 14)
Now,we want to find which point lies on the graph: y = a(x - 2)² + c.
Now, symbol "a" means the value of horizontal shift because the constants are grouped with x.
If the value of "a" is greater than 0,then it means that the graph shifted to the left by "a" units while if the value of "a" is less than 0,it means the graph shifted to the right by "a" units.
Now, from the 2 graph equations given, and from the principle of graph shifts, we can say that the first graph has shift by 2 units to the right because "a" equals -2.
What this implies is that every point on the graph y = ax² + c shifts by 2 units right.
Thus, the points that lie on the graph y = a(x - 2)² + c are: (x + 2, y)
Thus, points are: (2 + 2, 14) = (4, 14)
Sally has 2 cats and each cat eats of a tin of cat food each day.
Sally buys 7 tins of cat food.
For how many days will the cat food feed her 2 cats?
You must show your working.
days=?
Answer:
Step-by-step explanation:
9 tins of cat food feed her 2 cats for 18 days
Step-by-step explanation:
Sally has 2 cats
food eaten by 1 cat each day =
food eaten by 2 cat each day= tins
sally buys 9 tins of cat food
then
tins required in = 1 day
1 tin required in
i.e 1 tin required in 2 days
9 tin required for = 9×2 = 18 days
hence , 9 tins of cat food feed her 2 cats for 18 days
#Learn more :
Sue has 2 cats. Each cat eats 1/4 tin of food each day. Sue buys 8 tine of cat food. Has sue got enough cat food to feed her 2 cats for 14 days?
I am stumped >:( ahhhhhhh
Answer:
\(\frac{1}{32} yards^{3}\)
Step-by-step explanation:
\(V=w*h*l\)
↓
\(V= \frac{1}{4} *\frac{1}{4} *\frac{1}{2}\)
=
\(\frac{1}{32} yards^{3}\\\)
Hope this helps!
Given two points, (5, –8) (–2, 6), what is the equation of the line containing them both?
Answer:
Y=-2/-7(x) + 6
may I get branliest
A car moves on a straight road. As the driver passes a point A on the road with a speed of 20ms-1', he notices an accident ahead at a point B. He immediately applies the brakes and the car moves with an acceleration of a ms-2
a = 3t/2 -6 and time is the time after passing A
When t = 4, the car passes the accident at B. The car then moves with a constant acceleration of 2ms-1 until the, original speed of 20ms-1 is regained at a point C.
Find
1.The speed of the car at B
2. The distance AB
3. The time taken for the car to travel from B to C
Sketch the velocity-time graph for the journey from A to C.
t = (36 - C)/2 is the equation of the time taken.
To solve the problem, we need to integrate the given acceleration function to obtain the velocity function.
Given: a = 3t/2 - 6
Integrating the acceleration function, we get:
v = ∫(3t/2 - 6) dt
v = (3/4)t² - 6t + C
Speed of the car at B:
When t = 4, we can substitute this value into the velocity equation to find the speed at B:
\(v(4) = (3/4)(4)^2 - 6(4) + C = 12 - 24 + C = -12 + C\)
Distance AB:
To find the distance AB, we need to find the area under the velocity-time graph from t = 0 to the time when the car passes point B. Since we don't have the specific time when the car reaches point B, we cannot calculate the distance AB.
Time is taken for the car to travel from B to C:
To find the time taken for the car to travel from B to C, the formula:
\(v = u + at\\20 = v(4) + 2(t - 4)\\20 = -12 + C + 2t - 8\\2t + C = 36\\t = (36 - C)/2\)
Again, without the value of C, we cannot determine the specific time taken from B to C.
Learn more about speed here:
https://brainly.com/question/28224010
#SPJ1
The question is attached below
The expected number of pizzas to be stuffed crust is given as follows:
500.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The sample size is given as follows:
408 + 224 + 208 + 200 = 1040.
Out of these, 208 are stuffed crust, hence the probability is given as follows:
p = 208/1040.
Out of 2500 pizzas, the expected number is then given as follows:
E(X) = 2500 x 208/1040
E(X) = 500.
Learn more about the concept of probability at https://brainly.com/question/24756209
#SPJ1
turning point of y=(x+3)(x-7)
Explanation:
Let's find the roots aka x intercepts.
Plug in y = 0 and solve for x.
y=(x+3)(x-7)
(x+3)(x-7) = 0
x+3 = 0 or x-7 = 0
x = -3 or x = 7 are the two roots.
Now find the midpoint of those roots.
Add them up and divide in half.
(-3+7)/2 = 4/2 = 2
The midpoint happens at x = 2, which is the x coordinate of the vertex. This is the axis of symmetry where the vertex is located.
The vertex in this case is the lowest point on the parabola. It's the turning point where it goes from decreasing to increasing.
Plug x = 2 back into the original equation to find its paired y value.
y=(x+3)(x-7)
y=(2+3)(2-7)
y=(5)(-5)
y=-25
Therefore, the vertex is located at (2, -25) as indicated in the graph below. I used GeoGebra to make the graph. Desmos is another good choice.
Each side length of a triangle is 4 cm. What type of triangle is it?
☐ right
□acute
Equilateral
Isosceles
Answer: Equilateral
Step-by-step explanation:
It's equilateral because it says that each side of the triangle is 4cm. In simple words, all the sides of triangle are equal. Such a triangle is called an equilateral triangle.
Hope you understood.
In a sequence of numbers,
a₁ = -6, a3 = 4, a5 = 14, a6 = 19,
and a 24. Based on this
information, which equation
can be used to find the nth
term in the sequence, an?
Answer:
Step-by-step explanation:
To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.
From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.
Using the given values of a₁, a₃, and a₅, we can find the first few differences:
a₃ - a₁ = 4 - (-6) = 10
a₅ - a₃ = 14 - 4 = 10
So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:
a₂ = a₁ + d = -6 + 10 = 4
a₄ = a₃ + d = 4 + 10 = 14
a₆ = a₅ + d = 14 + 10 = 24 - 1
a₇ = a₆ + d = 24 - 1 + 10 = 33
Now, we can find the second difference between consecutive terms:
a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0
a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5
a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9
Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:
an = an² + bn + c
Substituting the values we know, we get three equations:
a₁ = a₁² + b₁ + c --> -6 = c
a₃ = a₃² + b₃ + c --> 4 = 9a + b + c
a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c
Solving this system of equations, we get:
a = 1/2, b = 19/2, and c = -6
Therefore, the equation for the nth term in the sequence is:
an = (1/2)n² + (19/2)n - 6.
х
Which answer is a solution for x if x/4= 21?
A.4/21
B.17
C.84
D.21/4
Answer:
is c
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
x/4=21
multiply 4 on both sides
4*(x/4)=21*4
21*4=84
4*(x/4)=x
x=84
Raghu purchased 234
pounds of rice. Belle purchased 54
as much as Raghu.
Complete the statement below to estimate how many pounds of rice Belle purchased.
CLEAR CHECK
Belle purchased about
pounds of rice.
I know this because
is
1
.
By fraction method, 55/16 pounds of rice Belle purchased.
In math, what is a fraction?
Part of a whole is a fraction. In mathematics, the number is represented as a quotient, where the numerator and denominator are divided. Both are integers in a simple fraction.
Whether it is in the numerator or denominator, a complex fraction contains a fraction. The numerator and denominator of a correct fraction are opposite each other.
= 2 3/4 * 5/4
= 5/4 * 2 + 5/4 * 3/4
= 5/2 + 5/4 * 3/4
= 5/2 + 15/ 4 * 4
= 5/2 + 15/16
common denominator and write the numerators above common denominator = 5 *8/16 + 15/16
= 40/16 + 15/16
= 40 + 15/16
= 55/16
Learn more about fraction
brainly.com/question/1301963
#SPJ1
The function f(x) = 75x + 100 models the cost of renting an event tent, where x is the number of hours and f(x) is the total cost. What is a reasonable domain for the function?
A. x < 0
B. x > 0
C. all real numbers
D. cannot be determined
The reasonable domain for the function is (b) x > 0
What is a reasonable domain for the function?From the question, we have the following parameters that can be used in our computation:
The function f(x) = 75x + 100
Where x is the number of hours
f(x) is the total cost.
In this case, the number of hours cannot be negative or 0
This means that the values of x in the function would be x > 0
These values of x are the domain
So, the reasonable domain for the function os (b) x > 0
Read more about domain at
https://brainly.com/question/27910766
#SPJ1
Please help..........
Answer:
1178 inches
Step-by-step explanation:
Using the triangle I drew (assuming n is across from ∠N), we can conclude that ∠O = 180-97-32 = 51 as the angles in a triangle add up to 180.
Using the law of sines, we can conclude that
\(\frac{o}{sinO} = \frac{n}{sinN} \\\)
Plugging our values in, we get
\(\frac{o}{0.78} = \frac{800}{0.53}\)
Multiply both sides by 0.78 to get
\(o = \frac{800*0.78}{0.53} = around 1177.5\)
round up to get 1178 as our answer
which problom can we solve with 60 devided by 6
Answer:
10
explanation:
60 divided by 6 equals 10, you could just use the division symbol, which is a slash, as we did above. The easiest way we found to answer the question "what 60 divided by 6 means", is to answer the question with a question: How many times does 6 go into 60?
Answer:
10
Step-by-step explanation:
the square root of 50
Answer:
The square root of 50 is approximately 7.07.
Answer:
7.07106781187...
Step-by-step explanation:
its an irrational number
Given the functions defined by f(x)=3x2−2 and g(x)=x2−2, calculate the following: (f∘g)(−2)
Answer:
10
Step-by-step explanation:
f(x) = 3x^2 - 2
g(x) = x^2 - 2
fog(x) = 3(x^2-2)^2 - 2 = 3x^4 + 12 - 12x^2 - 2 = 3x^4 - 12x^2 + 10
fog(-2) = 3(-2)^4 -12(-2)^2 + 10
fog(-2) = 48-48+10 = 10
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
father of economics