Answer:
C
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (4, 9) and (x₂, y₂ ) = (12, 20)
m = 
= 
→ C
Answer:
125 students attend.
Step-by-step explanation:
We already know that the drama club made $500 (500 - 400 = 100)
divide 500 by 4 to find out how many students attend the play, and paid $4
500 ÷ 4 = 125
125 students attend.
Answer:
x=11/5, or x=2.2.
Step-by-step explanation:
9-3(x+4)=2(x-3)-8
9-3x-12=2x-6-8
9-12-3x=2x-14
-3-3x=2x-14
-3-3x-2x=-14
-3-5x=-14
5x=-3-(-14)
5x=-3+14
5x=11
x=11/5
x=2.2
Answer: A. A=(1000-2w)*w B. 250 feet
C. 125 000 square feet
Step-by-step explanation:
The area of rectangular is A=l*w (1)
From another hand the length of the fence is 2*w+l=1000 (2)
L is not multiplied by 2, because the opposite side of the l is the barn,- we don't need in fence on that side.
Express l from (2):
l=1000-2w
Substitude l in (1) by 1000-2w
A=(1000-2w)*w (3) ( Part A. is done !)
Part B.
To find the width w (Wmax) that corresponds to max of area A we have to dind the roots of equation (1000-2w)w=0 ( we get it from (3))
w1=0 1000-2*w2=0
w2=500
Wmax= (w1+w2)/2=(0+500)/2=250 feet
The width that maximize area A is Wmax=250 feet
Part C. Using (3) and the value of Wmax=250 we can write the following:
A(Wmax)=250*(1000-2*250)=250*500=125 000 square feets
Answer:
B- One-Quarter
Step-by-step explanation:
