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boyakko [2]
3 years ago
12

Write an equation in point-slope form for the line that passes through (6,4) with a slope of -4

Mathematics
1 answer:
Harman [31]3 years ago
3 0

Step-by-step explanation:

<u>y</u> - <u>4</u> = -4

x - 6

y - 4 = -4x + 24

y = -4x + 24 + 4

y = -4x + 28

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I need help with the work of the math
8_murik_8 [283]

Answer:

13) (-2,-3)  14) (7,-4)   15) (-8,7)

Step-by-step explanation:

13) y=8x+13

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use substitution

-4x-5(8x+13)=23

distribute -5 in the parenthesis

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add 65 on both sides

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divide both sides by -44

x=-2

for y...

y=8(-2)+13

y=-16+13

y=-3

answer is (-2,-3)

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use substitution

-3x-1(-4x+24)=-17

distribute the -2 in the parenthesis

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add 24 on both sides

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y=-4(7)+24

y=-28+24

y=-4

answer is (7,-4)

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use substitution

5x+4(-2x-9)=-12

distribute 4 in the parenthesis

5x-8x-36=-12

-3x-36=-12

add 36 on both sides

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y=-2(-8)-9

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7 0
3 years ago
The floor of a shed given on the right has an area of 85 square feet. The floor is in the shape of a rectangle whose length is 7
lesya692 [45]

Answer: Length = 10 feet and width = 8.5 feet.

Step-by-step explanation:

Let x be the width of the floor.

Then length of the floor = 2x-7

Given : The area of the floor = 85 square feet

We know that the area of a rectangle is given by :-

A=l\times w

\Rightarrow\ 85=(2x-7)\times x\\\\\Rightarrow\ 2x^2-7x-85=0\\\\\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\\Rightarrow\ x=\dfrac{7\pm\sqrt{49-4(2)(-85)}}{4}\\\\\Rightarrow\ x=\dfrac{7\pm27}{4}\\\\\Rightarrow\ x=\dfrac{17}{2}, -5

But dimension cannot be negative

So, the width of the floor = x=\dfrac{17}{2}=8.5\text{ feet}

And the length of the floor = 2(8.5)-7=10\text{ feet}

6 0
4 years ago
Read 2 more answers
What is the domain of y = (3/(x - 2)^2)- 4 ?
fredd [130]
Domain \ of \ y=\frac{3}{(x - 2)^2}-4 \ is \ all \ real \ numbers \ except \ 2
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3 years ago
t takes Phillip 7 hours to proof a chapter of Hawkes Learning Systems' Intermediate Algebra book and it takes Kim 3 hours. How l
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Answer:

2.1 hrs

Step-by-step explanation:

In 1 hr, Phillip would have proofed 1/7 of the chapter. In 1 hr, Kim would have proofed 1/3 of the chapter. So, together in 1 hr, they would have proofed 10/21 of the chapter. So, it would take 21/10 or 2.1 hrs to proof the whole chapter together.

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Answer:That would be Number G.

Step-by-step explanation:

You can see so because of all of the sides buddy.

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4 years ago
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