Answer:
height=100feet
Step-by-step explanation:
perimeter of a rectangle=p=500 feet
p=2a+2b equation 1
a=height
b=base
we have: b/a=3/2
so a=(2*b)/3
in equation 1 we have:
500=2*((2*b)/3)+2*b
so we have
500=(4*b)/3 + 2*b
500=(4b+6b)/3
500=(10b)/3
500*3=10b
b=(500*3)/10
b=150 feet =base
so
a=(2*150)/3=100 feet = height
Answer:
Evaluating Polynomials:
a. f(1) = -10
b. f(-3) = -239
c. f(2)² = 3125
Factoring Polynomials:
a. (x + 1)(x² - 5x + 6) = (x + 1)(x - 3)(x - 2)
b. (x² - x - 6)(x² + 6x + 9) = (x - 3)(x + 2)(x + 3)(x + 3)
c. x³ + 3x² - 4x - 12 = (x + 3)(x - 2)(x + 2)(x - 2)(x + 2)
Answer: 64
Step-by-step explanation:
Answer:
v = 72 km/h
Step-by-step explanation:
Given that,
The distance covered by the Patrick, d = 288 km
Time taken, t = 4 hours
We need to find the average speed of Patrick. We know that the average speed of an object is equal to the total distance covered divided by total time taken. Let it is v. So,

So, his average speed is equal to 72 km/h.
U will first need to collect the like terms,
x+16>-5x+4
-5x will go to the other side becoming 5x while 16 while also cross the other side becoming -16
x+5x>4 -16
6x> when 4 is taken out from -16 it becomes - 12
6x>-12 when divided the answer obtained will be -2