Answer:
1. y = 4x - 27
2. y = -4x - 15
Step-by-step explanation:
If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:
y - 5 = 4(x - 8)
We can distribute:
y - 5 = 4x - 32
y = 4x - 27
We are not given the slope-intercept form, so we must divide both sides by two to get it:
y = 1/4 x + 8
A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:
y - 5 = -4(x + 5)
We can distribute:
y - 5 = -4x - 20
y = -4x - 15
Given the figure of a square pyramid
The area pf the base =area of the square of side 14 in =

the area of the sides = 4 times the area of a triangle of a base of 14 in and a height of 12 in
so, the area of the sides =

So, the surface area of the pyramid =

So, the answer will be A = 532 in^2
Answer:
v = 15 mph
Step-by-step explanation:
Given that,
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
Total distance, d = 3 + 7 = 10 miles
Total time, t = 15 + 25 = 40 minutes = 0.6667 hours
Average speed,

Put all the value,

or
v = 15 mph
So, the required average speed is equal to 15 mph.
Area of Rectangle C is 2, if scale factor of 1/5 is applied to length and width of Rectangle B.
Step-by-step explanation:
Length of Rectangle B= 5
Width of Rectangle B = 10
Scale factor: 1/5
Area of Rectangle C=?
Length of Rectangle C= 
Width of Rectangle C = 
So, Area after applying Scale factor for Rectangle C will be:

So, Area of Rectangle C is 2 if scale factor of 1/5 is applied to length and width of Rectangle B.
Keywords: Area of Rectangle
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A cube is comprised of 6 congruent squares. Therefore, the only shape she could have drawn is a square.