Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
Putting all the values of y=9, 6, 0, and -3 to complete the table
FOR y=9
putting y=9
switch sides
subtract 3 from both sides
Hence,
when y=9, x=4
FOR y=6
putting y=6
switch sides
subtract 3 from both sides
Hence,
when y=6, x=2
FOR y=0
putting y=0
switch sides
subtract 3 from both sides
Hence,
when y=0, x=-2
FOR y=-3
putting y=-3
switch sides
subtract 3 from both sides
Hence,
when y=-3, x=-4
Hence, the table becomes:
x y
9 4
6 2
0 -2
-3 -4
Answer:
95.2
Step-by-step explanation:
The volume of a square pyramid is (1/3)(area of base)(height of pyramid).
Here the area of the base is (10 ft)^2 = 100 ft^2.
13 ft is the height of one of the triangular sides, but not the height of the pyramid. To find the latter, draw another triangle whose upper vertex is connected to the middle of one of the four equal sides of the base by a diagonal of length 13 ft. That "middle" is 5 units straight down from the upper vertex. Thus, you have a triangle with known hypotenuse (13 ft) and known opposite side 5 feet (half of 10 ft). What is the height of the pyramid?
To find this, use the Pyth. Thm.: (5 ft)^2 + y^2 = (13 ft)^2. y = 12 ft.
Then the vol. of the pyramid is (1/3)(area of base)(height of pyramid) =
(1/3)(100 ft^2)(12 ft) = 400 ft^3 (answer)
Answer:
about +–1%; between 46.5% and 47.5%
Step-by-step explanation:
The scale factor of DEFG to PQRS is: 3/8.
<h3>What is a Scale Factor?</h3>
- A scale factor of a dilation is the number by which the size of an original figure is changed to a new figure.
- Scale factor is ratio of corresponding side of new figure to original figure.
Thus:
DE corresponds to PQ.
PQRS is the new figure.
DE = 8; PQ = 3
Scale factor of DEFG to PQRS = PQ/DE
Scale factor = 3/8.
Thus, the scale factor of DEFG to PQRS is: 3/8.
Learn more about scale factor on:
brainly.com/question/2826496