Answer:
r = - 13 / 15 inches/week
Step-by-step explanation:
The numerator is 13
and the denominator is 15, then we have
r = - 13 / 15 inches/week
r < 0 since the water level of the lake fell
The circumcenter of a right angled triangle is midpoint of the hypotenuse side.
Determine the midpoint of the hypotenuse.
For y coordinate,
So, circumcenter of triangle is,
Answer:
f(x) = x^3 - x^2 -2x
Step-by-step explanation:
If x = a is a zero of a polynomial, then x-a is a factor of the polynomial. Given the factors of a polynomial, the polynomial can be obtained by multiplying the factors.
The factors of the given polynomial are;
x - 2
x + 1
x
Multiplying the first two factors;
(x-2)(x+1) = x^2 + x -2x -2
= x^2 -x -2
We finally multiply this result by x to obtain our polynomial;
f(x) = x ( x^2 -x -2)
= x^3 - x^2 -2x
which is a cubic polynomial since it has 3 roots.
Answer:
x=80* y=20* and X=100*
Step-by-step explanation:
If we assume PQ || OR then by alternate interior angles x is equal to 80 degrees and y is equal to 20 degrees.
We know that a triangle adds up to 180 degrees.
Angle ROX and XRO add up to 100 degrees. Leaving RXO equal to 80 degrees. (180-100=80).
By opposite angles, QXP is equal to 80 degrees also.
Then we are left with solving for X.
Supplementary angles add up to 180 degrees.
Subtract angle OXR from 180 and we are left with angle OXP = X = 100 degrees.
