Complete the solution of the equation. Find the value of y when x equals to 9. 3x +4y=43

Mathematics

1 answer:

Nookie1986 [14]3 years ago

5 0

Is there more to problem or is this it?

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I’d appreciate help ASAP please and thank you!

White raven [17]

<h3>Answer: Choice C) 40 </h3>

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Work Shown:

Plug in x = 0

$g(x) = 3^{2x}\\\\g(0) = 3^{2*0}\\\\g(0) = 3^{0}\\\\g(0) = 1\\\\$

This indicates that (0,1) is on the curve. This is the y intercept.

Do the same for x = 2

$g(x) = 3^{2x}\\\\g(2) = 3^{2*2}\\\\g(2) = 3^{4}\\\\g(2) = 81\\\\$

So we know that (2,81) is another point on this curve.

We need to find the slope of the line through (0,1) and (2,81) to get the slope of the secant line we want.

$m = \text{slope}\\\\m = \frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{g(2)-g(0)}{2-0}\\\\m = \frac{81-1}{2-0}\\\\m = \frac{80}{2}\\\\m = 40\\\\$

The slope of the line through (0,1) and (2,81) is m = 40. This value of m is exactly the slope of the secant line your teacher is asking for. This is why the answer is choice C.

5 0

3 years ago

Two angles are complementary. One has a measure of 25 degrees. What is the measure of the other angle?

Pani-rosa [81]

Answer:

65 degrees

Step-by-step explanation:

Since complementary angles are 2 angles that add up to 90 degrees, all you have to do is subtract 25 from 90.

When you do that you get 65.

Example: 90 - 25 = 65

8 0

3 years ago