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Measurement of "AC" :
(x + 5) + (2x <span>− 11) ;
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Find the measurement of "AB" [which is: "(x+5)" ]:
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First, simplify to find the measurement of "AC" :
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</span>(x + 5) + (2x − 11) ;
= (x + 5) + 1(2x − 11) ;
= x + 5 + 2x − 11 ;
→ Combine the "like terms" ;
x + 2x = 3x ;
5 − 11 = - 6 ;
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to get: 3x − 6 ;
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So, (x + 5) + (2x − 11) = 3x − 6 ;
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Solve for: "(x + 5)"
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We have:
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(x + 5) + (2x − 11) = 3x − 6 ;
Subtract: "(2x − 11)" ; from EACH SIDE of the equation ;
to isolate "(x + 5)" on one side of the equation;
and to solve for "(x + 5)" ;
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→ (x + 5) + (2x − 11) − (2x − 11) = (3x − 6) − (2x − 11) ;
→ (x + 5) = (3x − 6) − (2x − 11) ;
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Note: Simplify: "(3x − 6) − (2x − 11)" ;
→ (3x − 6) − (2x − 11) ;
= (3x − 6) − 1(2x − 11) ;
= 3x − 6 − 2x + 11 ;
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→ Combine the "like terms" :
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+3x − 2x = 1x = x ;
-6 + 11 = 5 ;
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To get: x + 5 ;
So we have:
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x + 5 = x + 5 ;
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So, x = all real numbers.
x = <span>ℝ </span>
Answer:
124.6 centimeters
Step-by-step explanation:
7(17.8) = x
Simplify:
x = 124.6
Answer:
$ 4,986.18
Step-by-step explanation:
A = $ 4,986.18
A = P + I where
P (principal) = $ 4,610.00
I (interest) = $ 376.18
Answer:
951.15 ltr
Step-by-step explanation:
first you convert inch into cm just to make things easier
1 inch = 2.54cm
so,
radius(r)= 24 inch = 24×2.54= 60.96cm≈ 61 cm
then calculate the volume of the sphere
i.e.
V = 4/3(πr³)= 4/3×22/7× 61³= 951158.47 cm³
Now that we have volume
we know that,
1 ltr = 1000cm³
sooo,
- x ltr= 951158.47÷1000= 951. 15 ltr
Answer:
A) y = –3x+8
Step-by-step explanation:
first off, a negative equation means the graph is downward sloping from left to right –> \. So with this in mind you can immediately eliminate C and D because they are upward sloping graphs. B also doesn't work because it doesn't go through (3,–1). This leaves A as the right answer
the constant number is the number on the y-axis. So, for –3x+2, +2 is the y-coordinate on the y-axis. the slope is -3x meaning down 3, right 1. –3x+8 is the only answer that is perpendicular.
