Answer:
36.9°
Step-by-step explanation:
→ Identify the triangle required by seeing which side is not given
Hypotenuse is not given so we need to use Tan⁻¹ = Opposite / Adjacent
→ Substitute values in
Tan⁻¹ = ( 3 ÷ 4 )
→ Simplify
36.9°
Did you mean solve for x?
just flip the equation.<span>x=<span><span>−y</span>+8</span></span>
<span>The slope is the differential of the function.
Recall, if y = x^n, (dy/dx) = nx^(n-1).
y=</span><span>x^4-20x^2+64; x = -1. To differentiate this, we do it for each term.
(dy/dx) = (4)(x^(4 -1)) - (2)(20x^(2-1) + 0*64x^(0-1) (Note 64 = 64x^0, x^0 =1)
= (4)x^(3) - 40x^(1) </span><span><span>+ 0
= 4x^3 - 40x^1.
</span>(dy/dx) = </span><span><span><span> 4x^3 - 40x</span>. Note at x = -1.
</span>
(dy/dx), x = -1, = 4(-1)^3 - 40(-1)
<span> = -4 + 40 = 40 - 4 = 36.
</span><span>
Slope at x = -1 is 36.
</span>Cheers.</span>
Using the slope and 1 point format: (y- y₁) = m(x - x₁)
where m = slope = 5, and point is (x₁, y₁). In this case point (x₁, y₁) = <span>(-2, -1)
</span><span>x₁ = -2, y₁ = -1
</span>
Using: (y- y₁)<span> = m(x </span><span>- x₁)
</span>
y - -1 = 5(x - -2)
y + 1 = 5(x + 2).
We can go further but since our options are in that format above, we stop there.
So answer is option B.
<span><span>The </span>standard form<span> <span>of a linear </span></span>equation is Ax + By = C.</span>
Y = -1/4 x – 6
Multiply the whole equation by 4
4( y = -1/4 x – 6)
4y = -x – 24
Transpose -x to the other side of the eqution to obtain
standard form
<span>X + 4y = -24</span>