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boyakko [2]
3 years ago
8

Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7

x+8 d) y=-1/7x+1
Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0

Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:

-1/7

So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.

7 = -1/7(7) + b

Simplify the right side

7 = -1 + b

Add 1 to both sides

8 = b

The equation of the perpendicular line is:

y = -1/7x + 8

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Which shows all the like terms in the expression?
GenaCL600 [577]
4x-3+7x+1

Ones with a variable: 4 & 7
Only whole number: -3 & 1

The answer is option two: -3 and 1; 4x and 7x
7 0
3 years ago
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Please help me. solve for X
Vinil7 [7]

Answer:

1. x = 16

2. x = 17

Step-by-step explanation:

1. The sum of the exterior angles of any polygon is 360 degrees. So, to find x, we can add up all of the angle measures and set them equal to 360, then solve for x:

46 + 93 + 47 + 4x + 62 + 3x = 360

Combine like terms:

248 + 7x = 360

Subtract 248 from both sides of the equation to isolate 7x:

7x = 112

Divide both sides by 7 to find the value of x:

x = 16

2. The sum of the interior angles for a 5-sided polygon is 540 degrees. So, to find x, we can add up all of the angle measures and set them equal to 540, and then solve for x:

5x + 139 + 9x + 71 + 92 = 540

Combine like terms:

14x + 302 = 540

Subtract 302 from both sides to isolate the 14x:

14x = 238

Divide both sides by 14 to find the value of x:

x = 17

I hope this helps :)

6 0
3 years ago
Solve the inequality 2x + 8 < 5x − 4.
Jobisdone [24]

The answer should be X>4

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :  

                    2*x+8-(5*x-4)<0  

Step by step solution :

Step  1  :

Pulling out like terms :

1.1     Pull out like factors :

  -3x + 12  =   -3 • (x - 4)  

Equation at the end of step  1  :

Step  2  :

2.1    Divide both sides by  -3  

Remember to flip the inequality sign:  

Solve Basic Inequality :

2.2      Add  4  to both sides

            x > 4


3 0
3 years ago
5m 5m 4m 6m 7m please help
levacccp [35]

Answer:

The surface area would be 76m square!

Step-by-step explanation:

5 0
2 years ago
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Which equation matches the statement below?
kvasek [131]

Answer:

3(n-5)=2n+16

Step-by-step explanation:

3 lots of 'n' <em>and </em>5 means 3 times both values so these values are put into a bracket with a common multiplier (ie. the 3)

3(5 - n)

16 more than 2 lots of 'n' means that n has to be doubled. n + n = 2n. add 16 to this and we have

2n + 16

if these values are both equal (hence why they are in an equation) then all that is needed is for them to be set equal alongside each other.

3(n-5) = 2n+16

:)

8 0
2 years ago
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