Answer:
me
Step-by-step explanation:
Answer:
C. (3,15) and (4, 12)
Step-by-step explanation:
Given the system of linear equations
y = -x² + 4x + 12 and y=-3x + 24
Since both equations represents the variable y, we will equate both of the equations together.
Step 1: Equating both equations together we have;
-x² + 4x + 12 = -3x + 24
-x²+3x+4x+12-24 = 0
-x²+7x-12 = 0
x² -7x+12 = 0
x²-4x-3x+12 = 0
x(x-4)-3(x-4)= 0
x-3(x-4) = 0
x = 3 and 4
Step 2: substitute x = 3 and 4 into any of the equations to get the value of y. Using equation 2
when x = 3, y = -3(3)+24
y = -9+24
y = 15
when x = 4, y = -3(4)+24
y = -12+24
y = 12
The solutions yo the system of equations are (3,15) and (4, 12)
It’s number 4 because number 4 it’s
Answer:
a. 40 ft²
b. 21 ft²
c. 61 ft²
Step-by-step explanation:
Rectangle area formula: l * w
Triangle area formula: 1/2(bh)
10 * 4
40 ft² for the rectangle
1/2(7 * 6)
1/2(42)
21 ft² for the triangle
40 + 21
61 ft² in total (both the rectangle & the triangle)
A = 18
You need to
Multiply both sides of the equation
- 3/2 x (-2/3) x a = - 3/2 x - 12
Then simplify both sides
a = - 3/2 x 12
Simplify
-3/2 x -12
a = -3 x -6
Multiply -3 by -6
Answer: a = 18