Answer:
x = 10
Step-by-step explanation:
Use the Pythagorean theorem. The sum of the square of the sides is the square of the hypotenuse.
x² +(√200)² = (√300)²
x² = 300 -200
x = √100 = 10
The length of the unknown side is 10 units.
Answer:
2 1/4
Step-by-step explanation:
(x+2)(x+8)(x+k)=x^3+9x^2+6x-16
(x^2+10x+16)(x+k)=x^3+9x^2+6x-16
x^3+10x^2+16x+kx^2+10kx+16k=x^3+9x^2+6x-16
kx^2+10kx+16k=-x^2-10x-16
k(x^2+10x+16)=-x^2-10x-16
k=(-x^2-10x-16)/(x^2+10x+16)
k=-1
so the width is (x-1)
Notice the picture below
x = 1 and y = -1
now... recall your SOH CAH TOA

now.. what's the value for "r" or the radius? well, using the pythagorean theorem
Answer:
D. The constant 250 represents the average collection when no seniors ride.
Step-by-step explanation:
A -- the entire expression represents the driver's pay, not just the constant 250.
B -- collections continue to increase as x goes up, so 250 is the minimum, not the maximum.
C -- x is the number of seniors; 250 is in units of collections (dollars?), not numbers of seniors.
D -- indeed, 250 is the "y-intercept" of the expression, hence the collection when no seniors ride.