If the center of dilation is A, this means that point A is invariant.
- This means you can eliminate C and D.
Also, the scale factor is 3/4, which means that A'C' is more than half the length of AC.
- This is best reflected by option B
Answer:
The energy used in 3.5 hours = 5.25 kilowatts
Step-by-step explanation:
Energy used by electric kettle:
kilowatts
Time taken by electric kettle:
Electric kettle's rate in kilowatts per hour can be calculated by dividing the spent energy i.e. 2.25 kilowatts by the time taken i.e. 1.5 hours.
Therefore,
Electric kettle's rate = 2.25 kilowatts / 1.5 hour
= 1.5 kilowatts per hour
Thus, the energy used in 3.5 hours = 1.5 × 3.5
= 5.25 kilowatts
Therefore, the energy used in 3.5 hours = 5.25 kilowatts
Answer:
B 10% off sale, with a total price to pay of 756
Step-by-step explanation:
Retail price (Rp) = $800
Taxes (T) = 5%
- Offer A $75 instant rebate
Total price A (TA) = Rp - 75 + (Rp - 75) 5%
TA = 800 - 75 + (800-75) 5%
TA = 725 + 725 5%
725 5% = 725*5/100 = 36.25
TA= 725+36.25 = $761.25
Total price B (TB) = RP - RP 10% + (RP - RP 10%) 5%
TB = 800 - 800 10% + (800 - 800 10%) 5%
800 10% = 800*10/100 = 80
TB = 800 - 80 + (800 - 80) 5%
TB = 720 + 720 5%
720 5% = 720*5/100 = 36
TB = 720 + 36 = $756
- Offer C 5% off sale plus store pays sales tax
store pays sales tax means Walden's family will not need pay for taxes
Total price C (TC) = RP - RP 5%
TC = 800 - 800 5%
800 5% = 800*5/100 = 40
TC = 800 - 40 = $760
- Offer D a “no tax” sale—the store pays the tax
Means that Walden's family will need pay just the retail price
TD = $800
The beast deal is from the store B
9514 1404 393
Answer:
(-2, 1)
Step-by-step explanation:
Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.
(x, y) ⇒ (-x, -y) . . . . . rotation 180°
(2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P
The coordinates of the rotated point are (-2, 1).
