<h3>
Answer: y = 2x+6</h3>
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Explanation:
We'll need the slope first
m = slope
m = (y2-y1)/(x2-x1)
m = (0-(-4))/(-3-(-5))
m = (0+4)/(-3+5)
m = 4/2
m = 2
The slope is 2.
Next, pick either of the two given points to play the role of 
Let's say we picked on (-5,-4). The order doesn't matter so you could easily pick the other point as well.
We'll plug these items into the point slope equation below to solve for y.
Or we could have picked on (-3,0). The m value stays the same (at m = 2)
This one takes a few less steps. Either way, we get to the same answer.
You only need to pick one of the points, but doing both of them helps show that the two points are on the same line. It helps confirm the answer.
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Another way to check the answer is to plug the (x,y) coordinates into y = 2x+6 for each point.
So let's say we check (x,y) = (-5,-4)
y = 2x+6
-4 = 2(-5)+6 ... replace x with -5, replace y with -4
-4 = -10+6
-4 = -4
This confirms the first point. I'll let you check the second point.
Answer:
D) 30
Step-by-step explanation:
1/2 in. = 3 ft.
5" = 10 x 1/2"
10 x 1/2" = 10 x 3'
5" = 30'
Answer:
Converting the equation 
into completing the square method we get: 
Step-by-step explanation:
we are given quadratic equation:
And we need to convert it into completing the square method.
Completing the square method is of form: 
Looking at the given equation
We have a = x
then we have middle term 20x that can be written in form of 2ab So, we have a=x and b=? Multiplying 10 with 2 we get 20 so, we can say that b = 20
So, 20x in form of 2ab can be written as: 2(x)(10)
So, we need to add and subtract (10)^2 on both sides
So, converting the equation into completing the square method we get:
Answer:
x= 16 degrees
Step-by-step explanation:
the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .
