Answer:
- 6
Step-by-step explanation:
The given statement implies that the slope of line formed by (5, r) is (3, -2) is -2, as they lie on the same line.
Slope(using these pts) = (y2 - y1)/(x2 - x1)
=> - 2 = (-2 - r)/(3 - 5)
=> -2 = (-2 - r)/(-2)
=> (-2)(-2) = (-2 - r)
=> 4 = -2 - r
=> r = - 2 - 4
=> r = - 6
9514 1404 393
Answer:
x² -11x +18 = (x -9)(x -2)
Step-by-step explanation:
The x-coefficient is the sum of the constants in the binomial factors; the constant term is their product. It usually works well to look for factors of the constant that have the right sum. Here, both must be negative.
18 = (-1)(-18) = (-2)(-9) = (-3)(-6)
The factors -2 and -9 have a sum of -11, so those are the binomial constants of interest. The factorization is ...
x² -11x +18 = (x -9)(x -2)
Answer:
22
Step-by-step explanation:
Given that T is the midpoint of line PQ, segments PT = 5x + 2, and TQ = 7x - 6 that are formed would be equidistant or congruent. PT = TQ.
Therefore:
Let's find the value of x
Rearrange the equation, so that the terms having x would be on your left, while those without x would be on your right.
Divide both sides by -2
Plug in the value of x into the expression, 5x + 2, to find PT.
PT = 5(4) + 2 = 22.
F(x) + g(x) = 5x^2 + 9x - 17; g(x) -f(x) = -x^2 -x -1
