Answer:
135 inches
Step-by-step explanation:
A scale factor is the size of the object on paper.
So to get the actual size we must multiply by the reciprocal of the scale factor.
Dividing by 1/20 is the same as multiplying by 20.
Since the scale is 6.75 (I converted 3/4 to 0.75), we must multiply by 20 to get our original height.
So 6.75 * 20 = 135 inches
If width is w the length can be represented as 5/2+2w.
Formula for perimeter is 2l + 2w
So it would be 2w + 2(5/2 + 2w)
OR 2w + 5 + 4w
OR 6w + 5
See if this helps ;)
Answer:
4) y = 9
5) x = -1
6) y = -5x − 9
Step-by-step explanation:
4) x = 3 is a vertical line with an x-intercept of (3, 0). It has an undefined slope.
A perpendicular line to that will be y = a, which is a horizontal line with a y-intercept of (0, a) and a slope of 0. Since this line passes through (3, 9), the equation of the line must be y = 9.
5) The y-axis is x = 0. A parallel line that includes the point (-1, -2) is x = -1.
6) Parallel lines have the same slope, so:
y = -5x + b
To find the value of b (the y-intercept), plug in the point (-2, 1):
1 = -5(-2) + b
1 = 10 + b
b = -9
y = -5x − 9
The longest of the four side lengths is 24 cm
<h3>How to find the value of the longest of the four side lengths?</h3>
The given parameters are:
Perimeter, P = 90 cm
The lengths are consecutive integers
Let the smallest be
Smallest = x
So, we have
P = x + x + 1 + x + 2 + x + 3
Evaluate the like terms
P = 4x + 6
Substitute P = 90 cm in P = 4x + 6
4x + 6 = 90
Subtract 6 from both sides
4x = 84
Divide by 4
x = 21
The longest side is
Longest = x + 3
This gives
Longest = 21 + 3
Evaluate
Longest = 24
Hence, the longest of the four side lengths is 24 cm
Read more about perimeter at:
brainly.com/question/19819849
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