(1) y² + x² = 53
(2) y - x = 5 ⇒ y = x + 5
subtitute (2) to (1)
(x + 5)² + x² = 53 |use (a + b)² = a² + 2ab + b²
x² + 2x·5 + 5² + x² = 53
2x² + 10x + 25 = 53 |subtract 53 from both sides
2x² + 10x - 28 =0 |divide both sides by 2
x² + 5x - 14 = 0
x² - 2x+ 7x - 14 = 0
x(x - 2) + 7(x - 2) = 0
(x - 2)(x + 7) = 0 ⇔ x - 2 = 0 or x + 7 = 0 ⇔ x = 2 or x = -7
subtitute the values of y to (2)
for x = 2, y = 5 + 2 = 7
for x = -7, y = 5 + (-7) = 5 - 2 = 3
Answer: x = 2 and y = 7 or x = -7 and y = 3
The smallest exponents of the x and y term are 2. The Greatest Common Factor ( G C F ) for 9 x² y² and 5 x² y³ is: x² y².
Answer:
i think its The sale price of the jeans is 50% of the original price.
Step-by-step explanation:
Answer:
1st option
Step-by-step explanation:
y = 1/2x + 2
A)
The formula for direct variation is written as Y = kx, where k is the proportion you need to solve for.
Y would be the amount raised and X would be the number of attendees:
100 = k5
Divide both sides by 5:
k = 100/5
k = 20
B. the constant of variation is the value of k above which is 20
C) Using the formula from A: y = kx, replace k with 20 and x with 60 and solve for y:
y = 20 * 60
y = 1200
They will raise $1,200
2. If the relationship is proportional the ratio would be a constant number. If the relationship is non proportional the ratio would vary between the different values.
