Hello!
This is a rectangular prism
The equation to find the volume of a rectangular prism is
V = whl
v is volume
w is width
h is height
l is length
Put in the values you know
V = 12 * 4 * 2
Multiply
V = 96
The answer is 96 cubic feet
Hope this helps!
There are 5 solutions for this system.
x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
Answer:
the answer is B and C
Step-by-step explanation:
y+6=1/3(x-9)
Moved all terms from left to right that doesn't contain y
Y=-6 +1/3x-3
Simplify
Y=1/3x-9
Your answer is c.
Answer:
Step-by-step explanation:
Given
x ----- y
0.5. --- 0.8
1. --- 1.6
3.--- 4.8
25. --- 40
Required
Determine the constant of proportionality
This can be calculated using the following formula:
; Where r is the constant of proportionality;
Solve for r
When x = 0.5; y = 0.8
When x = 1; y =1.6
When x = 3; y = 4.8
When x = 25; y = 40
Notice that the value of r is constant throughout;
Hence:
