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son4ous [18]
3 years ago
5

Solve 1)3x-7=35? 2)22=7-3a 3)-d+7=3 4)2x+23=49 5)-c+2=5

Mathematics
2 answers:
kondaur [170]3 years ago
8 0
1)\\3x-7=35\\3x-7+7=35+7\\3x=42\\3x=3\cdot14\ /:3\\x=14\ \ \ \leftarrow\ \ \ Answer\\\\
2)\\22=7-3a\\22-22+3a=7-3a-22+3a\\3a=-15\\3a=3\cdot(-5)\ /:3\\a=-5\ \ \ \leftarrow\ \ \ Answer\\\\3)\\-d+7=3\\-d+7-7=3-7\\-d=-4\\d\cdot(-1)=4\cdot(-1)\ /:(-1)\\d=4\ \ \ \leftarrow\ \ \ Answer\\\\

4)\\2x+23=49\\  2x+23-23=49-23\\2x=26\\2\cdot x=2\cdot 13\ /:2\\x=13  \ \ \ \leftarrow\ \ \ Answer\\\\ 
5)-c+2=5\\  -c+2-2=5-2\\ -c=3\\ c\cdot(-1)=-3\cdot(-1)\ /:(-1)\\c=-3 \ \ \ \leftarrow\ \ \ Answer
astra-53 [7]3 years ago
7 0
1)\ 3x-7=35\ \ \ |add\ 7\ to\ both\ sides\\\\3x=42\ \ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x=14}\\-------------------------\\2)\ 22=7-3a\\\\7-3a=22\ \ \ \ |subtract\ 7\ from\ both\ sides\\\\-3a=15\ \ \ \ \ |divide\ both\ sides\ by\ (-3)\\\\\boxed{a=-5}\\--------------------------

3)\ -d+7=3\ \ \ \ \ |subtract\ 7\ from\ both\ sides\\\\-d=-4\\\\\boxed{d=4}\\---------------------------\\\\4)\ 2x+23=49\ \ \ \ \ \ |subtract\ 23\ from\ both\ sides\\\\2x=26\ \ \ \ \ \ |divide\ both\ sides\ by\ 2\\\\\boxed{x=13}\\---------------------------\\5)\ -c+2=5\ \ \ \ \ \ |subtract\ 2\ from\ both\ sides\\\\-c=3\\\\\boxed{c=-3}
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scoray [572]

Answer:

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  • m =23,\ b =-25 → Equation 3 (y=23x - 25)
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Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope of the line and "b" is the y-intercept.

Knowing this,  and having the equations provided in the exercise, you can identify the slope and  the y-intercept of each line.

- In Equation 1:

y=3x + 5\\\\\\m=3\\b=5

 - In Equation 2:

y =-2x+3\\\\\\m=-2\\b=3

 - In Equation 3:

y=23x - 25\\\\\\m=23\\b=-25

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nydimaria [60]

Answer:

See Explanation

Step-by-step explanation:

<em>The question is incomplete because the area of the parallelogram is missing. However, the following will guide you in answering the question</em>

Given

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Area of a Parallelogram is:

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Make Height the subject

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Substitute 16 for Base

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This implies that you divide the value of area by 16 to get the height of the parallelogram.

Take for instance;

Area = 64ft\²

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Height = 4\ ft

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Area = 80ft\²

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