Answer:
Triangle EFG is dilated by a scale factor of 2 centered at (0, 2) to create triangle E'F'G'. Which statement is true about the dilation?
segment EG ≅ segment E prime G prime.
The slope of segment EF is the same as the slope of segment E prime H prime.
segment H prime F prime will overlap segment HF.
segment EH and segment E prime H prime both pass through the center of dilation.
Step-by-step explanation:
Answer:
the height of the pyramid is 8 ft
Step-by-step explanation:
Considering the base of the pyramid to be square whose area is 144 sq ft
This means the side of the base would be √144 = 12 ft.
Now, if you will imagine a pyramid we can easily observe that
Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as
10^2 = H^2 +6^2
⇒ H^2 = 10^2-6^2 = 100-36 = 64
⇒ H = 8 ft
Therefore, the height of the pyramid is 8 ft
Answer:
<u>The honey costs US$ 0.45 per ounce</u>
Step-by-step explanation:
1. Let's review the information given for solve the question:
Cost of the honey at the supermarket = US$ 5.40
Weight of the honey bought by the customer = 12 ounces
2. This is the formula to find out the cost per ounce:
Cost per ounce = Cost of the honey/Weight of the honey bought by the customer
Cost per ounce = 5.40/12
Cost per ounce = 0.45
<u>The honey costs US$ 0.45 per ounce</u>
Answer:
(3) y=(x+3)
Step-by-step explanation:
I'm not sure what is the parent function, but in most graphs if you will shift it to the left or right (negative sign or positive sign, respectively), it will be inside a parenthesis and the opposite sign is the real movement.
For a cubic function these will be the movements:
f(x)=(x+/-h)^3+/-k
Only the opposite sign of h will be the real movement, while k's sign will automatically indicate the correct movement.
h= x-axis movement (horizontal, inside of the parenthesis in the equation)
k= y-axis movement (vertical, outside of the parenthesis in the equation)
Hope it helps
Answer:
Step-by-step explanation:
Lenny had a rectangular deck that was 12 feet by 14 feet he wants to increase the length and width by the same amount and at 120 square feet to the total area what's the answer