Answer is (-7, -2)
Rewrite the equations so that both are set equal to 0:
y^2 + x^2 = 53
y^2 + x^2 - 53 = 0
y - x = 5
y - x - 5 = 0
Set them equal to eachother:
y^2 + x^2 - 53 = y - x - 5
y^2 + x^2 = y - x + 48
Plug in the value options and see which one works.
A) (-10, -5)
25 + 100 = -5 + 10 + 48 Does not work, eliminate option
B) (-7,-2)
4 + 49 = -2 + 7 + 48
53 = 53 We have a match!
We can stop checking now, we've found the coordinate pair that solves.
Answer is B) (-7, -2)
Answer:
(c/4) ≤ -15
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
2 + 3(3x - 6) = 5(x - 3) + 15
Expand the parenthesis:
2 + 9x - 18 = 5x - 15 + 15
Simplify:
9x - 16 = 5x
Subtract 5x from both sides:
4x - 16 = 0
Add 16 to both sides:
4x = 16
Divide both sides by 4:
x = 4
Answer:
The constant of variation is 5.
Step-by-step explanation:
In direct variation, as y varies directly with x, the standard equation is
y = kx,
where k is the constant of variation.
In your case, we use R and S. R varies directly with S, so we have
R = kS
We know that when S = 16, R is 80, so we plug in those values and solve for k, the constant of variation.
R = kS
80 = k(16)
k = 80/16
k = 5
Answer: The constant of variation is 5.
The standard form:
The point-slope form:
We have the slope m = 3 and the point (5, 5). Substitute:
<em>use distributive property</em>
<em>add 5 to both sides</em>
<em>subtract 3x from both sides</em>
<em>change the signs</em>