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Hunter-Best [27]

4 years ago

11

Need help with this math question

2 answers:

ira [324]4 years ago

7 0

Answer:

The equation for the circle is (x-0)^2+(y+3)^2=25

Step-by-step explanation:

The radius is half the diameter. To find the length of the diameter we need to calculate the distance that (3,1) is to (-3,-7) which is sqrt(6^2+8^2)=10 .

The radius is therefore 10/2=5.

We also need the center of the circle (the midpoint of a diameter is the center of a circle). So we just need to average the x's and y's to find the midpoint between (3,1) and (-3,-7) which is (0,-3).

The equation for the circle is (x-0)^2+(y+3)^2=25

I just plugged my info into (x-h)^2+(y-k)^2=r^2

where (h,k) is center and r is radius

Nezavi [6.7K]4 years ago

5 0

Answer:

-12 is the correct answer

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3 years ago

The graph of y=-3x+2 intersects the graph of an exponential function at (-1,5). Which of the following could be the

kompoz [17]

Answer:

$y=10(2)^{x}$

Step-by-step explanation:

Given:

The graph of $y=-3x+2$ intersects the exponential function at $(-1,5)$ .

So, the point $(-1,5)$ must also lie on the exponential function.

Let us check each option for $y$ value at $x = -1$ .

The option that gives $y= 5$ is the correct option.

Option 1:

$y=10(2)^{x}\\y=10(2)^{-1}\\y=10\times \frac{1}{2}=\frac{10}{2}=5$

Option 2:

$y=10(0.5)^{x}\\y=10(0.5)^{-1}\\y=10\times \frac{1}{0.5}=\frac{10}{0.5}=20$

Option 3:

$y=5^{x}\\y=5^{-1}\\y=\frac{1}{5}=0.2$

Option 4:

$y=5(2)^{x}\\y=5(2)^{-1}\\y=5\times \frac{1}{2}=\frac{5}{2}=2.5$

Therefore, only option 1 gives 5 for $y$ when $x=-1$

So, the correct option is $y=10(2)^{x}$

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3 years ago