In the diagram, l1 is parallel to €2.

Linear equation is the equation in which the highest power of the variable is one. The solution of the given equation is (7,2). Hence the option 3 is correct.

The given linear equation in the problem area,

\(\begin{aligned}\\3x-2y &=17\;\;\;\;\;\;\;\;.......1\\x-3y &=1 \;\;\;\;\;\;\;\;\;\;.......2\\\end{align}\)        

The given equation are the set of the linear equation.

Linear equation is the equation in which the highest power of the variable is one.                                            

Rewrite the equation 2 to get the value of variable x in terms of y,

\(\begin{aligned}\\x-3y &=1\\x &=1+3y\;\;\;\;\;\;\;\;.......3\\\\\end\)

Put this value of x in the equation 1. Thus,

\(\begin{aligned}\\3(1+3y)-2y &=17\\3+9y-2y &=17\\7y &=17-3\\y &=\dfrac{14}{7} \\y &=2\\\end\)

Thus the value of the variable y is 2. Put this in equation 3.

\(\begin{equation}\\x=1+3y\\x=1+3\times 2\\x=1+6\\x=7\\\\\end\)

The value of the variable y is 7.

Thus the solution of the given equation is (7,2). Hence the option 3 is correct.

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Answer:

Its C.

Sorry I am late. But for whoever does the unit test the answer is C :)

Step-by-step explanation:

Only the arrangement and order Is different else all are similar

in first method Kiran created a table which produces all values in the order [1,6] to H and T.

In second method Priya created a flow chart type tree diagram which produces all values in order H and T to [1,6]

So they both produce same answers as both are like inverses of each other ,

If you try to understand then think about relations

So they are ought to form same values just in different order .

#2

Second method is more applicable as its more understandable and easier

The height of the building is 36 ft.

Similar triangles have the same corresponding angle measures and proportional side lengths.

Given that, George places a mirror on the ground 45ft from the base of the building. He walks backward until he can see the top of the building in the middle of the mirror. At that point, George’s eyes are 6th above the ground, and he is 7.5ft from the mirror.

As we can see, this arrangement is creating similar triangles,

We know that, similar triangles have corresponding sides in equal ratios,

Therefore,  

x / 45 = 6 / 7.5

x = 6 / 7.5 × 45

x = 36

Hence, the height of the building is 36 ft.

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Answer:

D

Step-by-step explanation:

Volume = lwh

120 = l(4)(3)

l = 10 feet

The solution to the system of equations y = 1.5x - 4 and y = -x  is (1.6,-1.6). The correct answer is D.

The solution to the system of equations can be calculate as follows

From the question we can conclude that the equations are :

y = 1.5x - 4

y = -x

to find the value of x and y  we can substitute y = -x in the first equation so it became

-x = 1.5x - 4

-1.5x - x = -4

-2.5x = -4

x = 1.6

after we found the value of x we can find the value of y by Substitute

x = 1.6 in y = -x

y = -1.6

Therefore, the solution to the y = 1.5x - 4 and y = -x  is (1.6,-1.6).

Your question is incomplete but most probably your full question was

What is the solution to the system of equations y = 1.5x – 4 y = –x

a.(–1.6, 1.6)

b.(–1.5, 1.5)

c. (1.5, –1.5)

d. (1.6, –1.6)

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Answer:

y = 35- 15x

Step-by-step explanation:

To solve for y, first isolate the term containing y.

1/5y = 7 - 3x

Multiply both sides by 5 to cancel out the fraction.

5(1/5y) = 5(7 - 3x)

This will result in:

y = 35- 15x

Do not forget to distribute the 5 when multiplying.

The equation is now solved for y.

Answer:

√69 is 8.30 and √72 is 8.48.

The one after N should be 8.50.

So really it should be N, not M, im sorry. Because M is 8.20

So its N

Step-by-step explanation:

I hope this helps    :)

Answer:

yes it does

pls give brainly

Step-by-step explanation:

Answer:

Yes the table shows a proportinal relationship

Step-by-step explanation:

1:24

2:48

3:72

4:96

24 divided by 1 is 24

48 divided by 2 is 24

72 divided by 3 is 24

96 divided by 4 is 24

Answer:

see below

Step-by-step explanation:

-6.75  is a rational real number

   since it is not a whole number or a counting number

sqrt(175) = 5 sqrt(7) = irrational real number

     since sqrt(7) is irrational

5 pi = irrational real number

      since pi is irrational

30/3 = 10 = natural , whole, integer, rational, real number

since this is a counting number

- sqrt(9) = -3  integer, rational, real number

since this is negative

Answer:

see attached

Step-by-step explanation:

The quantity of energy moved or transformed per unit of time is referred to as power. The amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

The quantity of energy moved or transformed per unit of time is referred to as power.

Formula: Power = Energy / Time

Units: kW = kWh / hour

The power of electric equipment is given by the formula,

P = E/t

where E is the energy consumed in kWh and t is the time in hours.

Given the power of the hairdryer is 1.200 kW while the time for which it is kept on is 15 minutes, therefore, 0.25 hours. Now, the energy consumed by the dryer in 15 minutes will be,

1.200 kW = E / 0.25

0.3 kWh = E

Hence, the amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

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Answer: \(\text{Slope}=\Large\boxed{\dfrac{5}{8}}\)

Step-by-step explanation:

Given information

\((x_1,~y_1)=(14,~10)\)

\((x_2,~y_2)=(-10,~-5)\)

Given the formula for finding the slope

\(\text{Slope}=\dfrac{\Delta y}{\Delta x}=\dfrac{y_2-y_1}{x_2-x_1}\)

Substitute values into the given formula

\(\text{Slope}=\dfrac{(-5)-(10)}{(-10)-(14)}\)

Simplify by subtraction

\(\text{Slope}=\dfrac{-15}{-24}\)

Simplify the fraction

\(\text{Slope}=\dfrac{5\times(-3)}{8\times(-3)}\)

\(\text{Slope}=\Large\boxed{\dfrac{5}{8}}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

3 + 5 +7 +9 + 11 + ....

n = 100

a = 3

d = 5 - 3 = 2

\(S_{n}=\frac{n}{2}(2a + (n-1)d)\\\\S_{100}=\frac{100}{2}(2*3+99*2)\\\\=50*(6+198)\\\\= 50 * 204\\= 10200\\\)

Answer:

Step-by-step explanation:

The standard equation for a parabola is \(y=x^2\)

The given equation is: y = 2(x+2)(x-2)

The given equation is factored out. Since it is factored, we can set each x expression to zero, to solve for the x intercepts.

x+2 = 0

-2      -2

x = -2

x-2 = 0

+2     +2

x = 2

We can therefore graph, (-2, 0) and (2, 0), because we know that it is the x intercepts of the given quadratic function.

to find the vertex, you will take both x intercepts, divide them by two, and that will get you the x cooridnate. Following that you can plug in that value as x into the equation solve for the y coordinate.

\(\frac{(-2 + 2)}{2} = 0\\\\x=0\\y = 2(x+2)(x-2)\\\\y = 2(0+2)(0-2)\\y=-8\\\\vertex = (0, -8)\)

finally graph that point and create the parabola shape. If you'd like to make your parabola more accurate, you can always make a t chart of x and y values. and plug in x values into the equation to find the other y values.

I've attached a graph of the given parabola.

Answer:

The answer is D.

Step-by-step explanation:

Doing it rn you are welcome.

Answer:

The cell phone tower is 44.25 feet

Answer:

4/5 is your answer hope this helps

Step-by-step explanation:

To write this as a unit rate, what we need to do

is to divide 2/5 by 1/2.

That means 2/5 divided by 1/2

Removing the division and replacing with multiplication will give 2/5 * 2/1 = 4/5

Using divisibility concepts, it is found that the missing digit is 3.

----------------------------

----------------------------

\(1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + 3 + 1 + 2 + x = 33 + x\)

Thus, it is needed that:

\(33 + x = 36\)

\(x = 36 - 33 = 3\)

The missing digit is 3.

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Answer:

IQR = 3

Step-by-step explanation:

if you create a box plot from the data provided, you get these values:

minimum:  4

quartile 1:  5

median:  6.5

quartile 3:  8

max:  22

range:  18

IQR is the difference between the 3rd and 1st quartiles

∴ the answer is 8-5 or 3

The maximum clearance for the bridge is 16 ft using the formula for parabolic arch.

Parabolic arches are well-known for their superior strength compared to other types of arches. These arches distribute weight more evenly, reducing the amount of stress that is placed on any given point. As a result, parabolic arches are commonly used in the construction of bridges.

In the case of a bridge with a supporting parabolic arch spanning 60 ft with a 30 ft wide road passing underneath, the minimum clearance needed is 16 ft. This means that the maximum height of the arch can be calculated by subtracting 16 ft from the height of the bridge.

To find the height of the bridge, we need to consider the formula for a parabolic arch: y = ax^2. Here, y is the height of the arch at any given point, x is the distance from the center of the arch, and a is a constant. The value of a will depend on the specific dimensions and properties of the arch.

In this case, we know that the span of the arch is 60 ft, so x = 30 ft at the halfway point. We also know that the height of the arch at this point is 16 ft + y, which gives us the equation \(16 ft + y = a(30 ft)^2\).

Simplifying this equation, we get:

16 ft + y = 900a

To find the maximum clearance, we need to solve for y when a is at its maximum value. We can do this by finding the maximum value of a, which occurs at the apex of the arch.

The apex of a parabolic arch is located at the halfway point of the span, so x = 30 ft. We also know that the height of the arch at this point is 0 (since it is the highest point of the arch), so we can substitute these values into the formula to find the value of a:

\(0 = a(30 ft)^2\)
a = 0

Now that we know that a = 0 at the apex of the arch, we can substitute this value into the equation we derived earlier:

16 ft + y = 900a
16 ft + y = 0
y = -16 ft

This means that the maximum clearance for the bridge is 16 ft, since the height of the arch at the apex is -16 ft (or 16 ft below the height of the bridge).

In conclusion, parabolic arches are known for their superior strength and are commonly used in bridge construction. By using the formula for a parabolic arch, we can calculate the maximum clearance for a bridge with a supporting parabolic arch. In this case, the maximum clearance is 16 ft, since the height of the arch at the apex is -16 ft.

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Answer:

Step-by-step explanation:

Amount = P(1 + r%)^n

             \(= 16000*(1 + \frac{5}{100})^{2}\\\\= 16000 * (1 + 0.05)^{2}\\\\= 16000 * (1.05)^{2}\\\\= 16000 * 1.1025\\= 17640\)

Interest = Amount  - Principal

             = 17640 - 16000

             =  1640

Z is Odd.

Eg :- The Association between Height and Age

This is a relation since you would get various heights if you entered a specific age and checked all the persons of that age. Nevertheless, if you were to look at a person's height over time, it would depend on their age.

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Answer:  <1 = 105° and <2 = 75°

Step-by-step explanation:

The information we have is the 75 degree angle already provided. Using our knowledge on transverses we know a 180 degree angle is a straight line (we happen to have two of these (c and d)). Using the corresponding angle theorem we know angle 2 is equivalent to 75 degrees. Supplementary angles refer to angles that add up to 180 degrees. Angle 1 and 2 are supplementary so from there we solve.

180 - 75 = 105

<1 = 105 degrees

Angle DBC and angle ADB constitute a pair of alternate internal angles which are congruent," which concludes the evidence.

The final sentence that establishes that ABCD is a parallelogram is "Angle DBC and angle ADB form a set of alternate interior angles which are congruent."

A parallelogram has opposing sides that are parallel and equal.

AB = DC and AB || DC as stated. Only AD || BC and AD=BC need to be demonstrated. As a result, the qualities of AD=BC are demonstrated. And a pair of alternative interior angles for demonstrating AD || BC should be equal.

This leads to Phrase C, "Angle DBC and angle ADB constitute a pair of alternate internal angles which are congruent," which concludes the evidence.

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Answer:

a) 23x

b) 8n

c) -6y

d) -17w

Explanation:

When combining like terms, if there is an addition operator, add both coefficients and carry the variable over. If there is a subtraction operator, subtract both coefficients and carry the variable over. Remember, you can only combine like terms if the variable, and exponent are the same. The addition and subtraction symbols are examples of an operator used in arithmetic. For example, 9x + 14x could be like adding 9 objects and 14 objects together, you have 23 objects total because 9 + 14 = 23. When you add negative numbers, it is like subtracting. When you subtract negative numbers, it is like adding. Negative just means opposite.

a) 9x + 14x = (9+14)x = (23)x = 23x

b) -2n - 10n = (-2+10)n = (8)n = 8n

c) 8y - 14y = (8-14)y = (-6)y = -6y

d) -6w - 11w = (-6-11)w = (-17)w = -17w

Answer:

a: 23x

b: 8n

c: -6y

d: -17w

Step-by-step explanation:

you just add/subtract the numbers then add the variable at the end

Answer:

PLEASE PLACE PLASTIC AND GLASS CONTAINERS IN SEPARATE BINS

There is no significant result that different coating type have different conductivity in CRT .

Given,

Coating type and conductivity levels .

Now,

Null Hypothesis, \(H_{0} :\) \(u_{1} = u_{2} = u_{3} =u_{4}\)  

That is there is no difference in conductivity in coating type .

Alternate Hypothesis,  \(H_{0} :\)  At least one µ is different .

That is there is difference in conductivity due to coating type .

So,

Rejection rule

If p value ≤ α (= 0.01) , then reject the null hypothesis .

Here,

The p value is 0.6063

The p value is greater than the α .

p value(0.6063) > α(0.01)

Therefore by the rejection rule do not reject the null hypothesis .

Thus,

There is no conclusive result at level of significance . So there is no significant difference in the coating for cathode ray tubes in telecommunication .

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Cindy spent a total of $128.09 on ingredients for pies. She will be able to make 18 slices of pie with this amount of ingredients.

1. Cindy spent $65.25 on ingredients for blueberry pies and $62.84 on ingredients for cherry pies.

2. Add the two amounts together: $65.25 + $62.84 = $128.09

3. Each slice of pie sells for $3.50.

4. Divide the total spent on ingredients by the cost of a slice of pie: $128.09 / $3.50 = 18 slices of pie.

the complete question is :

Cindy spent $65. 25 on ingredients for blueberry pies and $62. 84 on

ingredients for cherry pies. Each slice of pie sells for $3. 50.How much did Cindy spend on ingredients for blueberry and cherry pies, and how many pies can she make from that?

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