The answer is y = 6
Step-by-step explanation:
The formula of a slope:
We have the points (-5, 6) and (7, 6). Substitute:
The slope m = 0. Therefore it's a horizontal line y = a.
In the given points we have y = 6.
Answer:
h
8
Step-by-step explanation:
h-(-2)
10=h+2
10
subtract 2 on both sides to get h
8
<span>a difference of squares
</span>a^2<span> – b^</span>2<span> = (a + b)(a – b)
</span>in this case
<span>(–7x + 4)(–7x – 4)
answer
</span><span>(–7x + 4)(–7x – 4)</span>
Answer:
Step-by-step explanation:
Hello, we know that if the equation is

Then the vertex is the the point (h,k)
Here, the vertex is the point (-2,-20) so we can write, a being a real number that we will have to find,

On the other hand, we know that the y-intercept is (0,-12) so we can write

So the equation becomes.

And we can give the standard form as below.

Thank you.
A) Problem 3
Answer: third option 11.5
Explanation:
1) Since this is a right triangle you can use the trigonometric ratios.
2) sin (α) = opposite-leg / hypotenuse
3) α = 35°; opposite-lge = x; hypotenuse = 20.
4) substitute values
sin(35°) = x / 20
5) Solve for x
x = 20 * sin (35°) = 11.47
6) Round to the nearest tenth: 11.5
Answer: third option 11.5
B) Problem 4
Answer: first option 8.3
Explanation:
1) Since it is a right triangle you can use trigonometric ratios
2) cos (α) = adjacent - leg / hypotenuse
3) α = 41°; adjacent - leg = x; hypotenuse = 11
4) Substitute values
cos (41°) = x / 11
5) Solve for x: x = 11 * cos (41°) = 8.30
6) Round to the nearest tenth: x = 8.3
Answer: 8.3