Pls help 20 points TYYY

Mathematics

1 answer:

Mumz [18]3 years ago

6 0

Answer: A

Explanation:
It is exponential because the y value is multiplied by 3 each time.

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What is the slope of (-1,3) and (3,1)

Aleonysh [2.5K]

<h3>Answer: -1/2</h3>

Work Shown:

Apply the slope formula

m = (y2-y1)/(x2-x1)

m = (1-3)/(3-(-1))

m = (1-3)/(3+1)

m = -2/4

m = -1/2 is the slope

In decimal form, this converts to -0.5, though usually slopes are in fraction form.

5 0

3 years ago

Solve this i am not able to solve

Margarita [4]

Answer:

Step-by-step explanation:

First we need to set this ratio up in the coordinate plane. Because this is tangent, the 3 goes opposite the reference angle and the 4 goes along the x-axis, adjacent to the reference angle. We see that we are missing the third side of the triangle when we do this, namely the hypotenuse. We use Pythagorean's Theorem to find that this side is 5. Now we have to deal with the identities for each sin(2A) and cos(2A).

sin(2A) = 2sin(A)cos(A)

We know from the triangle we drew in the coordinate plane that

$sin(A)=\frac{3}{5}$ and $cos(A)=\frac{4}{5}$ so we fill in the formula accordingly and then simplify:

$sin(2A)=2(\frac{3}{5})(\frac{4}{5})=\frac{24}{25}$

cos(2A) has 3 identities; I just picked the one I thought would be easiest to use and went with that one. Regardless of which one you pick you will get the same answer as long as you do the math correctly.

$cos(2A)=cos^2(A)-sin^2(A)$ and filling in the formula: