Answer:
y = x - 6
Step-by-step explanation:
We want to write a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
First, we need to find the slope, which is just the change in the y-coordinates divided by the change in the x-coordinates:
slope = m = 
Our equation now looks like this: y = x + b
Now, to find the y-intercept, let's use one of the points provided and plug those values of x and y into the incomplete equation we have to solve for b:
0 = 6 + b ⇒ b = -6
So, the equation is: y = x - 6.
Hope this helps!
Answer:
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Step-by-step explanation:
The given pyramid's total surface area is 3. 24.0 square feet.
Step-by-step explanation:
Step 1:
To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.
There are 3 triangles and 1 square in the figure.
Step 2:
All the triangles are similar.
The surface area of a triangle = 
The similar triangles have a base length of 3 feet and a height of 2.5 feet.
The surface area of 1 similar triangle =
square feet.
The surface area for all the similar triangles =
square feet.
Step 3:
The surface area of a square is the square of its side length. The square has a side length of 3 feet.
The surface area of the square =
square feet.
Step 4:
To calculate the total surface area we sum up all the individual surface area.
The total surface area =
square feet which is the third option.
a) Corresponding angles of similar figures are congruent, so 
b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is 
c) Since the scale factor is 5/2,

Answer:
h(-3) = -5
Step-by-step explanation:
h(-3) = -I 2-(-3) I
Two negatives makes a positive: -(-3) = +3 or 3
h(-3) = -I 2+3 I
h(-3) = -I 5 I
*There is a negative that lies outside of the absolute value lines, which makes everything positive.
Making sure the 5 is positive, remove the absolute value lines.
h(-3) = - +5
The negative sign is still there.
A negative and a positive makes a negative.
h(-3) = -5