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Evgesh-ka [11]
3 years ago
7

Identify an equation in point-slope form for the line perpendicular to y=-2x+8 that passes through (-3, 9)

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0
If the line is perpendicular, then as a rule the gradient of the perpendicular line will be the negative inverse of the gradient of the line given.
Therefore the gradient of the perpendicular line would be 1/2 
so now just substitute in the equation of a line (y=mx+c) where y and x are given by -3 and 9, and your new m=1/2 
Hope this helps 
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<h2>Answer: </h2>

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A = 5 × 3

A = 15cm².

2. <u>Area = ½(a + b) × h</u>

A = ½(9 + 15) × 15

A = ½ × 24 × 15

A = 12 × 15

A = 180mm².

3. <u>Area = 2(l × b) + l × b</u>

A = 2(12 × 4) + 6 × 3

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A = 114m².

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Answer:

1537500

Step-by-step explanation:

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Solve for k.
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3 years ago
What is the solution for the equation -15=5(3y-10)-5y
marissa [1.9K]

Answer:

  • \Large\boxed{\sf{y=\dfrac{7}{2} }}

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

<u>First, switch sides.</u>

\sf{5\left(3y-10\right)-5y=-15}

Use the distributive property.

<u>DISTRIBUTIVE PROPERTY:</u>

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}

  • <u>Therefore, the correct answer is y=7/2.</u>

I hope this helps. Let me know if you have any questions.

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2 years ago
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