3x + 2(-2x + 3) = 50 |use distributive property
3x - 4x + 6 = 50
-x + 6 = 50 |subtract 6 from both sides
-x = 44 |change signs
x = -44
The area of the trapezoid is 43.5 inches²
Step-by-step explanation:
The formula of the area of a trapezoid is 
, where:
and 
are the two parallel bases- h is its height
∵ = 
feet
∵ = 14 inches
∵ h = 3 inches
- Change the length of from feet to inches
∵ 1 foot = 12 inches
∴ feet = × 12 = 15 inches
∴ = 15 inches
Substitute the values of , and h in the
formula of the area
∴ 
∴ A = 43.5 inches²
The area of the trapezoid is 43.5 inches²
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Answer:
The answer is 4r² – 9
Denise answer is correct.
Step-by-step explanation:
One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method
Using the FOIL method (Used for multiplying binomials)
F stands for first
O stands for outer
I stands for inner
L stands for last
In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.
So, for the equation (2r – 3)(2r + 3)
First : (2r)(2r) = 4r²
Outer : (2r)(+3) = 6r
Inner : (–3)(2r) = – 6r
Last : (–3)(+3) = – 9
Adding the results we get
4r² + 6r – 6r – 9 (+6r and – 6r cancels out)
= 4r² – 9
∴ (2r – 3)(2r + 3) = 4r² – 9
Hence, Denise answer is correct
Y = -2x + 4
The graph of the equation is the set of points that are solutions to the
equation.
The equation 2x + y = 4 is represented by the same graph.
For point (1, 2): 2 = -2(1) + 4 = -2 + 4 = 2.
Therefore, the point (1, 2) lies on the the graph of the equation.
For the
point (0, 2): 2 ≠ -2(0) + 4 = 0 + 4 = 4.
Therefore, the point (0, 2) DOES NOT lie on the graph of the equation.
