Answer:
<u>y </u> -<u>8=-2</u>
x -4 3
3y - 24=-2 +8
y= -2/3x +32/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
The circumference of the tree is the distance around the tree's circular top. The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
If the tree has a circumference of 16 ft, it means that
2πr = 16
πr = 16/2 = 8
r = 8/π
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
if the tree is 10ft tall, then the volume of wood it contains is
Volume = π × (8/π)² × 10
Volume = 64/π × 10
Volume = 64/3.14 × 10
Volume = 204 cubic feet
The left circle represents 4/4 and the circle whole number is 1
Answer:
162
Step-by-step explanation:
You want to eliminate one of the terms (x or y) in one of the equations so you can solve for the other variable. You have to multiply by the opposite number of the coefficient to be able to eliminate the term in the other equation. If the x coefficient is 2, then you have to multiply the entire other equation by -2. If the y coefficient is -5, then you have to multiply the entire other equation by 5.
10)
-4x + 9y= 9
x - 3y= -6
STEP 1:
multiply the bottom equation by 4
4(x- 3y)= 4(-6)
4x - 12y= -24
STEP 2:
add the top equation and the equation from step 2
-4x + 9y= 9
4x - 12y= -24
the x term cancels out
-3y= 15
divide both sides by -3
y= -5
STEP 2:
substitute the y value in either original equation to solve for x
x - 3y= -6
x - 3(-5)= -6
x + 15= -6
subtract 15 from both sides
x= -21
ANSWER: x= -21; y= -5
____________________
12)
-7x + y= -19
-2x + 3y= -19
STEP 1:
multiply the top equation by -3 to eliminate the y term and to solve for x
-3(-7x + y)= -3(-19)
21x - 3y= 57
STEP 2:
add the bottom equation and the equation from step 2 to solve for x
-2x + 3y= -19
21x - 3y= 57
the y term cancels out
19x= 38
divide both sides by 19
x= 2
STEP 3:
substitute the x value in step 2 to solve for y; you can use either original equation
-7x + y= -19
-7(2) + y= -19
-14 + y= -19
add 14 to both sides
y= -5
ANSWER: x= 2; y=-5
Hope this helps! :)
