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Alinara [238K]
3 years ago
6

The variables x and y vary directly. Use the values to find the constant of proportionality and write an equation that relates x

and y. y=8; x=2
Mathematics
1 answer:
Leya [2.2K]3 years ago
3 0

Answer:

y = 4x

Step-by-step explanation:

If y is directly proportional to x (which is what I assume you are meaning in this question), this means that

y = kx, where k is the constant of proportionality.

To find k, we simply substitute in the given x and y values, and solve for k. i.e we to get:

8 = k x 2.

k = 8/2 = 4.  

so y = 4x

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Find value of x, show your work
Zina [86]
Here is your answer

\huge x=\frac{35}{2}cm= 17.5cm

REASON :
AB//CD

So,

/_A=/_D ... (alternate int. angles)

/_B=/_C ... (alt. int. angles)

So,

Tri.ABE~Tri.DCE... (by AA similarity)

Therefore,

Corresponding sides are proportional

i.e.

\frac{AE}{DE}=\frac{AB}{DC}

\frac{5}{x}=\frac{4}{14}

x=\frac{5×14}{4}

x=\frac{5×7}{2}

x=\frac{35}{2}

HOPE IT IS USEFUL
5 0
4 years ago
7. Use the table to answer the question. Which best describes the weather in Washington, DC, during the summer? O cold and damp
8_murik_8 [283]

Answer:

Hot and rainy

Step-by-step explanation

Think of the temperatures in F  not C. It is hot and it rained a lot.

3 0
3 years ago
Elaina Kicks A Soccer Ball With An Initial Velocity Of
VladimirAG [237]

By using the motion equations, we conclude that she will make the goal.

<h3>Will she make the goal?</h3>

First, we know that the goal is 20ft away, and the position in x is given by:

x = 28*cos(58)*t

Let's find the time in which the ball will travel these 20 ft.

20 =  28*cos(58)*t

(20)/(28*cos(58)) = t = 1.35

So the horizontal distance is covered in 1.35 seconds, now let's see which is the height of the ball at that time.

The height equation is:

y = -16*t^2 +28*sin(58)*t

Evaluating in t = 1.35 we get:

y = -16*(1.35)^2 +28*sin(58)*1.35\\\\y = 2.9

And the goal is 5ft tall, so we can conclude that she will make the goal.

If you want to learn more about motion equations:

brainly.com/question/19365526

#SPJ1

5 0
2 years ago
I need a lil help, ANSWER QUICKLY!
Valentin [98]

Answer:

yes

Step-by-step explanation:

Counterclockwise is going left, so if you start at the top, 270 degrees left of a clock will result in the same as 90 degrees clockwise.

7 0
3 years ago
Read 2 more answers
The polynomial 8x2 – 8x + 2 – 5 + x is simplified to 8x2 – gx – h. What are the value of g and h?
igor_vitrenko [27]

Answer:

Option D: g = 7 and h = 3

Step-by-step explanation:

The polynomial is;

8x² – 8x + 2 – 5 + x

Simplifying this gives;

8x² - 7x - 3

If this is simplified to 8x² – gx – h

Thus, by comparison of terms;

– gx = - 7x

-x will cancel out to get;

g = 7

Similarly, - h = - 3

Thus,h = 3

Therefore; g = 7 and h = 3

3 0
3 years ago
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