Answer: y=-5x-16
Step-by-step explanation:
Since we are given the slope and the point, we can plug in the point to solve for y-intercept.
4=-5(-4)+b [multiply]
4=20+b [subtract both sides by 20]
b=-16
Now, we know the equation is y=-5x-16.
we know that
if the lines a and b are parallel lines cut by transversal f
then
--------> by alternate exterior angles
solve for x

therefore
<u>the answer is</u>
the value of x is 
Answer:
D) x=6√3, y=3√3
Step-by-step explanation:
Given both triangles are 30-60-90 triangles, this means that the length of y will be 9/√3=√81/√3=√(81/3)=√27=3√3
This also means that x will be twice the length of y which means x=2y=2(3√3)=6√3
This means that the correct answer is D) x=6√3, y=3√3
Refer to the diagram below to understand where I got these lengths.
Answer:
<h3>
-11, -9, -7</h3><h3>
the smallest: 2x+1 = -11</h3>
Step-by-step explanation:
{z - some integer}
2z+1 - the smallest number
7(2z+1) - <u>seven times the smallest number</u>
2z+1+2=2z+3 - the middle number
2z+3+2 = 2z+5 - the largest number
2(2z+5) - <u>twice the largest number</u>
7(2z+1) + 2(2z+5) - the sum of 7 times the smallest and twice the largest
7(2z+1) + 2(2z+5) = -91
14z + 7 + 4z + 10 = -91
-17 -17
18z = -108
÷18 ÷18
z = -6
2z+1 = 2(-6)+1 = -12 + 1 = -11
2z+3 = 2(-6)+3 = -12 + 3 = -9
2z+5 = 2(-6)+5 = -12 + 5 = -7