Answer:
(-2, 3)
Step-by-step explanation:
Given the system of equations:
-3x + 2y = 12
x = 2y - 8
You can 'substitute' the expression '2y - 8' for the value of 'x' in the first equation and solve for 'y':
-3(2y - 8) + 2y = 12
Distribute: -6y + 24 + 2y = 12
Combine like terms: -4y + 24 = 12
Subtract 24 from both sides: -4y + 24 - 24 = 12 - 24 or -4y = -12
Divide both sides by -4: -4y/-4 = -12/-4 or y = 3
Use y = 3 to solve for 'x':
x = 2(3) - 8 or 6 - 8
x = -2
(-2, 3)
Answer:
False
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
= (x + 5)(x - 5) ← expand factors using FOIL
= x² - 5x + 5x - 25
= x² - 25 ≠ x² - x - 15
The equation of a circumference is 2

r. Since we know that r=17, we plug that into the formula, and get an answer of C. 34
Answer:
The value of y would be 45.5
Step-by-step explanation:
To solve this problem, start with the base form of direct variation.
y = kx
Now we can use our original values to model the equation and find k.
35 = k(2.5)
14 = k
Now we can model the equation as:
y = 14x
Now to find y, when x = 3.25, simply put 3.25 into the equation.
y = 14(3.25)
y = 45.5
Answer:
6.1
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) * h where b1 and b2 are the lengths of the bases
108.6 = 1/2 ( 12+p) *12
108.6 = 6 (12+p)
Divide each side by 6
108.6 /6 = 12+p
18.1 = 12+p
Subtract 12 from each side
18.1-12 = 12+p-12
6.1 = p