Answer:
4
Step-by-step explanation:
- 6x+4=12+4x
- 6x-4x=12-4
- 2x=8
- x=4
Answer:
Step-by-step explanation:
Perimeter = 84 feet
Side One = Side Two + 12 feet
Side Two + 17 = Side Three
Side Two + Side Two = Side Four
Perimeter = (Side Two + 12) + (Side Two) + (Side Two + 17) + (Side Two + Side Two) = 5 x (Side Two) + 29 = 84
5x + 29 = 84
5x = 55
x = 11
Side Two = 11 feet
Side One = 11 + 12 = 23 feet
Side Three = 11 + 17 = 28 feet
Side Four = 11 X 2 = 22 feet
Answer:
2. "two thirds of the fourth power of <em>r</em>"
4. n + 14
6. 7 +11n
8. (2/5)n^2
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7. 28
8. 1/5
Step-by-step explanation:
2. "two thirds of the fourth power of <em>r</em>"
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4. "sum" means the listed items are added. You can use any convenient variable to represent "a number." I often use <em>n</em> for <em>n</em><em>umber</em>.
n + 14
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6. "7 more than" means 7 is added to whatever follows. "11 times a number" means the number is multiplied by 11.
7 + 11n
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8. "of" means "times". The square of a number is that number to the power of 2.
(2/5)n^2
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7 & 8 (evaluation). Your calculator can do this. (If not, get one that can.) Note that parentheses are needed around numerators and denominators and anything else that must be treated as a single value.
Answer:
Step-by-step explanation:
1) 2x + y = 3 -(1)
-3x + 2y = -8 -(2)
(1) x 2 => 4x + 2y = 6 -(3)
(3) - (2)
=> 4x + 2y + 3x - 2y = 6 + 8
=> 7x = 14
=> x = 2
=> 2(2) + y = 3
=> y = 3 - 4 = -1
2) 6x + 7y = -9 -(1)
-4x - 5y = 5 -(2)
(1) x 4 => 24x + 28y = -36 -(3)
(2) x 6 => -24x - 30y = 30 -(4)
(3) + (4)
=> 24x + 28y - 24x - 30y = -36 + 30
=> -2y = -6
=> y = 3
=> 6x + 7(3) = -9
=> 6x = -30
=> x = -5
3) -x - 7y = 9 -(1)
-x + 9y = -23 -(2)
(1) - (2)
=> -x - 7y + x - 9y = 9 + 23
=> -16y = 32
=> y = -2
=> -x - 7(-2) = 9
=> -x = -23
=> x = 23
4) -x + 9y = -5 -(1)
x - 5y = 1 -(2)
(1) + (2)
=> -x + 9y + x - 5y = -5 + 1
=> 4y = -4
=> y = -1
=> x - 5(-1) = 1
=> x = -5
5) -2x + y = 10 -(1)
4x + y = -14 -(2)
(1) - (2)
=> -6x = 24
=> x = -4
=> 4(-4) + y = -14
=> y = -14 + 16 = 2
Answer:
e
Step-by-step explanation:
50 and 40
