<span>Line a is parallel to line b:
</span><span>m∠1=m∠ 5, because they are correspondent angles, then:
2x+44=5x+38
Solving for x:
2x+44-2x-38=5x+38-2x-38
6=3x
3x=6
Dividing both sides of the equation by 3
3x/3=6/3
x=2
Answer: Third option: 2</span>
Answer:
x= 23
y=7
Step-by-step explanation:
x-y=16
4y-5=x
4y-5-y=16
3y-5=16 add 5 to both sides
3y=21 divide by 3 on both sides
y=7
x-7=16 substitute back in
x=23 added 7 to both sides
so x=23 and y=7
23-7=16
Answer:
7x² + x – 2
Step-by-step explanation:
(4x² + 3) – (–3x² – x + 5)
First, distribute the minus sign to eliminate the parentheses (negative terms become positive and vice versa):
4x² + 3 + 3x² + x – 5
Then, combine like terms:
7x² + x – 2
The three integers are: 12, 13, and 14
12+13=25
25+14=39
Answer:
(9, 0)
Step-by-step explanation:
Maximum or minimum value occurs at the Corner. The points given are (0, 8), (5, 4) and (9, 0).
Substitute (0, 8) in the objective function.
We get P = 3(0) + 2(8) = 16
Now for (x , y) = (5, 4)
P = 3(5) + 2(4) = 15 + 8 = 23
At (9, 0) we get P = 3(9) + 2(0) = 27.
Clearly, we have the maximum value at (9, 0).
And the maximum value is 27.
