Answer:
(x−9)²+(y−)²=
Step-by-step explanation:
Answer:
Divide the volume by the length of the prism to get the area of the face:
468/13 = 36 square yards.
The area of the face ( triangle) is 1/2 x base x height
Replace with what you have:
36 = 1/2 x 9 x g
Multiply both sides by 2 to remove the 1/2:
72 = 9 x g
Divide both sides by 9 to find g:
g = 72 /9
g = 8 yards.
I think it’s 305 ft if I did it right but I could be wrong
The correct answer is A) y = -1/5x + 1
To find the equation of the line, start by finding the slope. You can do this by using the slope formula below.
m(slope) = (y2 - y1)/(x2 - x1)
m = (2 - -1)/(-5 - 10)
m = 3/-15
m = -1/5
Now that we have the slope, we can use it along with either point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 2 = -1/5(x + 5)
y - 2 = -1/5x - 1
y = -1/5x + 1
Answer:
and
Step-by-step explanation:
Move the constant to the right-hand side and change their sign.
combine like terms
Square both side to remove square brackets.
10y + 24 - 3 = y²+ 8y + 16
Move the expression to the left-hand side and change its sign.
10y + 24 - y² - 8y - 16 = 0
Combine like terms
10y - 8y + 24 - 16 - y² = 0
2y + 8 - y² = 0
Use commutative property to reorder the terms.
-y² + 2y + 8 = 0
Change the sign of expression.
y² -2y -8 = 0
split -2y
<u>y² + 2y </u>- <u>4y - </u><u>8</u> = 0
Factor out y from the first pair and -4 from the second equation.
y ( y + 2 ) - 4 ( y + 2 ) = 0
Factor out y+2 from the expression.
( y + 2 ) ( y - 4)
When the products and factors equals 0, at least one factor is 0.
y + 2 = 0
y - 4 = 0
Solve for y
y = -2
y = 4
When we plug the both solution as y we found that both is true solution of this equation.
This equation has two solutions which are -2 and 4.