Answer:
d = 3 sqrt(2)
Step-by-step explanation:
To find the distance between two points we can use the formula
d = sqrt( (x2-x1)^2 + (y2-y1)^2)
d = sqrt( ( -1 - -4) ^2 + (9-6)^2)
d = sqrt( (-1+4)^2 + 3^2)
d = sqrt( 3^2+3^2)
d = sqrt(9+9)
d = sqrt(18)
Simplifying
d = sqrt(9*2)
d = 3 sqrt(2)
V = kl where k is the constant of proportionality
V = 24l = 24*30 = 720 in^3
720 = 30*h*w
hw = 720 / 30 = 24
also 2h + 2w = 20
w + h = 10
24/h + h = 10
24 + h^2 = 10h
h^2 - 10h + 24 = 0
(h - 4)(h - 6)=0
h = 4 inches or 6 inches.
Answer:
Step-by-step explanation:
1k +9 > 30
1k +9 -9 > 30 -9
1k > 21
k > 21
6x−12+2x=3+8x−15
Simplify:
6x+−12+2x=3+8x+−15
(6x+2x)+(−12)=(8x)+(3+−15)(Combine Like Terms)
8x+−12=8x+−12
8x−12=8x−12
Subtract 8x from both sides.
8x−12−8x=8x−12−8x
−12=−12
Add 12 to both sides.
−12+12=−12+12
0=0
The real numbers are the only solution we can have.
Answer:
84 cubic feet
Step-by-step explanation:
First, multiply the numbers to get the volume.
5 2/5 * 4 2/3= 25 1/5
25 1/5 * 4 4/9= 112
Then, we can find 3/4 of that.
112*3/4=84.
