Solution:
<u>Step-1: Find the slope of the line.</u>
Formula of slope: y₂ - y₁/x₂ - x₁
- y₂ - y₁/x₂ - x₁ = Slope
- => -2 - (-5)/-8 - (-4) = Slope
- => -2 + 5/-8 + 4 = Slope
- => 3/-4 = Slope
<u>Step-2: Use the point slope formula to determine the slope.</u>
Point slope form formula: y - y₁ = m(x - x₁)
- y - y₁ = m(x - x₁) = Equation of line
- => y - (-5) = -3/4{x - (-4)} = Equation of line
- => y + 5 = -3/4{x + 4} = Equation of line
- => y + 5 = -3x/4 - 3 = Equation of line
- => y = -3x/4 - 8 = Equation of line
The equation of the line is <u>y = -3x/4 - 8.</u>
Answer:
2 RootIndex 4 StartRoot 4 EndRoot
Step-by-step explanation:
we have

Decompose the number 64 in prime factors

substitute
![64^{\frac{1}{4}}=(2^{4}2^{2})^{\frac{1}{4}}=2^{\frac{4}{4}}2^{\frac{2}{4}}=2\sqrt[4]{4}](https://tex.z-dn.net/?f=64%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%282%5E%7B4%7D2%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D2%5E%7B%5Cfrac%7B4%7D%7B4%7D%7D2%5E%7B%5Cfrac%7B2%7D%7B4%7D%7D%3D2%5Csqrt%5B4%5D%7B4%7D)
Answer: C. 
=======================================================
Explanation:
The x intercept always occurs when y = 0.
Use the unit circle to determine that
when 
So if
, then we have

which shows us that
is the location of one of the infinitely many x intercepts for this function.
Answer:
y=-8
Step-by-step explanation:
-8y-16=48
+16+16
-8y=64
y=-8
<h3>1.</h3>
We will write and solve an equation that expresses the given relation. Let x represent the angle measure. Its complement is (90-x).
... x =(1/4)(90 -x)
Subtract x and simplify
... 0 = (90/4) - (5/4)x
Divide by the coefficient of x, which is -5/4.
... 0 = -18 +x
Add the opposite of the constant.
... 18 = x
The angle is 18°.
<h3>2.</h3>
The attachment shows the intersction of road AB with road CD.
<em>Supplementary angles:</em> ∠CXA and ∠CXB; ∠BXC and ∠BXD; ∠DXA and ∠DXB; ∠AXC and ∠AXD.
<em>Complementary angles:</em> none
<em>Vertical angles:</em> ∠AXC and ∠BXD; ∠BXC and ∠AXD.