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dolphi86 [110]
2 years ago
5

If y = -5 when x = 2, find y when x = 8.

Mathematics
1 answer:
nasty-shy [4]2 years ago
4 0

Answer:

Y= -20

Step-by-step explanation:

if y=-5 when x=2 find y when x=8

8 /2 = 4

=> x = 2 * 4 => x = 8 Answer

y = -5 * 4 =>

y= -20

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A 65-story office tower has a height of 910 feet. Write an expression to find the height of each story. Then, use the expression
gizmo_the_mogwai [7]
Assuming each story is the same height
910=65 stories put together
910=65 times (height of each story)
910=65h
divide both sides by 65
14=h
each story is 14 feet

the equation is 910=65h
4 0
3 years ago
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Two trains leave stations 306 miles apart at the same time and travel toward each other. one train travels at 75 miles per hour
Sindrei [870]
Combined speed = 95+75= 170 mph

they will meet in 306/170  =  1.8 hours  or 1 hour 48 minutes.
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3 years ago
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A cell tower is located at and transmits a circular signal that covers three major cities. The three cities are located on the c
Lelu [443]

Answer:

(x+8)^2 +(y-4)^2 = 25

Step-by-step explanation:

Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"

For this case the generla equation for the circle is given by:

(x-h)^2 +(y-k)^2 = r^2

From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this:(x+8)^2 +(y-4)^2 = r^2

If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for r^2

(-4+8)^2 +(7-4)^2 =25= r^2

So then r = \sqrt{25}=5

And if we replace the second point we got this:

(-13+8)^2 +(4-4)^2 = 25 =r^2

And for the third point we have:

(-8+8)^2 +(-1-4)^2 = 25 =r^2

And we got the same result.

So then our final equation is given:

(x+8)^2 +(y-4)^2 = 25

4 0
3 years ago
Find the distance between the points ?<br><br> ​
tatuchka [14]

Answer:

4

Step-by-step explanation:

The distance between the two points is (-1,-4) - (-5,-4)

5 0
2 years ago
For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.
iragen [17]

Answer:

-\frac{7}{3}

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

m=\frac{f(b)-f(a)}{b-a}

where

m is the average rate of change

a is the first point

b is the second point

f(a) is the function evaluated at the first point

f(b) is the function evaluated at the second point

We want to know the average rate of change of the function f(x)=0.5^x-6 form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, a=-3 and b=0.

Replacing values

m=\frac{f(b)-f(a)}{b-a}

m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}

m=\frac{1-6-(8-6)}{3}

m=\frac{-5-(2)}{3}

m=\frac{-5-2}{3}

m=\frac{-7}{3}

m=-\frac{7}{3}

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is -\frac{7}{3}

4 0
3 years ago
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