Answer:
4
Step-by-step explanation:
The pre-image is the starting coordinates and it then gets larger. when you multiply four by 3 you get 12 and when you multiply four by -4 you get 16. So the pre-image dilated by 4.
Let's do it step by step:
First we need to understand that moving upwards would be addition to y-coordinates, while moving downwards would be deduction to the y-coordinates.
Moving to rightwards would be addition to x-coordinates and leftwards would be deduction to x-coordinates.
As we moved down by 1 unit and up for 2 units, it means that we are originally upward for one unit and downward by 2 units, which makes downwards for 1 units and would be -1 to the y-coordinates:
(-3,1 -1)
=(-3,0)
Therefore the start would be (-3,0).
Hope it helps!
Answer:
30.5 ft squared
Step-by-step explanation:
First, find the area and shape. If it is a square then you want to divide by four since all sides are equal. So divide 122 by 4 and you get the answer.
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Volume of the cone is 117.5 π ft³
<u>Step-by-step explanation:</u>
Lateral area of the cone = πrs
s is the slant height = 15 ft
From the above formula, we can find the radius as, 5 ft.
Volume of the cone = π r² h/3
s = √ (5²+ h²)
Squaring on both sides, we will get,
s² = 15² = (5² + h²)
15² - 5² = h²
225 - 25 = 200 = h²
h = √200 = 14.1 ft
Volume = π × 5² × 14.1 / 3 = 117.5 π ft³
Answer:
31
Step-by-step explanation: