Answer:
(7,12),(-12,-7)
Step-by-step explanation:
x^2 + y^2 = 193
x - y = - 5
x = y - 5
(y - 5)^2 + y^2 = 193
y^2 - 10y + 25 + y^2 = 193
2y^2 - 10y + 25 = 193
2y^2 - 10y + 25 - 193 = 0
2y^2 - 10y - 168 = 0
2*(y^2 - 5y - 84) = 0 This factors into
2*( y - 12) (y + 7) = 0
y = 12
in which case x = 12 - 5 = 7
y = - 7
in which case x = -7 - 5 = - 12
Answer:
D) Kaia saved $165.45 on a new guitar because it was 75 percent off. The price of the guitar before the discount was $220.60.
Step-by-step explanation:
Given in the attached diagram shows a model of a discount given on a purchase of guitar showing 75% of the price of guitar ($55.15 + $55.15 + $55.15) that was given.
It also tells that the price pays is 25% of the price of the guitar before the discount. I.e. 25% of %220.60 = 0.25 × 220.60 = $55.15.
From the diagram given, we can infer that Kaia bought the guitar at $55.15 while saving $165.45. That is 25% of the original price. And the amount saved, $165.45, is %75 of the original price ($55.15+$55.15+$55.15).
The answer is D.
Answer: length = 4.5 m, width = 3 m
Step-by-step explanation:
When a shape is enlarged using a scale factor, you simply multiply each of the sides by the scale factor.
length = 3 * 1.5 = 4.5 m
width = 2 * 1.5 = 3 m
Answer:
30
Step-by-step explanation:
