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2 years ago

Write an equation of a line that passes through (3,-2) and (-1,6).

Mathematics

1 answer:

Zanzabum2 years ago

3 0

Answer:

-2x -y = -4

Step-by-step explanation:

the formula for calculating the equation of the line passing through two points is (look at the photo)

3 is x1, -2 is y1, -1 is x2 and 6 is y2

solve: x-3/-1-3 = y-(-2)/6-(-2)

x-3/-4 = y+2/8

transport the second fraction to the left of the equal, then it becomes negative:

x-3/-4 - y+2/8 = 0

do the mcm: -2(x-3)-(y+2) = 0

solve (minus in front of a parenthesis changes all signs inside it): -2x+6-y-2 = 0

-2x+4-y = 0

move the unknowns to the left of the equal:

-2x -y = -4

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(fg)-1(5)=g-1f-1(5)

larisa86 [58]

Answer:

f = g/ g+1

Step-by-step explanation:

Remove Parenthesis.

fg - 1 x 5 = g - 1 x f - 1 x 5

Cancel -1 x 5 on both sides.

fg = g - 1 x f

Simplify 1 x f to f.

fg = g - f

Add f to both sides.

fg + f = g

Factor out the common term f.

f (g + 1) = g

Divide both sides by g + 1

f = g/ g + 1

6 0

3 years ago

3×

In-s [12.5K]

Answer:

1. x = 39.67

2. x = 15

3. x = 49.29

4. x = -12.8

5. x = 96

6. x = 42

7. x = 36

8. x = 0

9. x = 78

Step-by-step explanation:

Just remember to always isolate the unknown. Here are the solutions to your problem. I will explain each step for the first for you to give you an idea how the others were worked out.

1. $\dfrac{3x}{7}-2 = 15$

Add 2 to both sides to get rid of -2 on the left side.

$\dfrac{3x}{7}-2+(2)=15+(2)///dfrac{3x}{7}=17$

Multiply both sides by 7 to get rid of 7 on the left side.

$\dfrac{3x}{7}\times 7 = 17\times 7\\\\3x = 119$

Divide both sides by 3 to get rid of 3 on the left side.

$\dfrac{3x}{3} = \dfrac{119}{3}\\\\x = 39.67$

You could also transpose everything by the x to the other side of the equation. Just remember that whatever OPERATION used on the original side, must be opposite on the other side. I'll use the second problem to show this.

$\dfrac{2x}{5}+1=7$

Transpose 1 on the left to the right. It is addition on the left, then it would be subtraction on the other side.

$\dfrac{2x}{5}+1=7\\\\\dfrac{2x}{5}=7-1\\\\\dfrac{2x}{5}=6$

Transpose 5 from the left side to the right. It is division on the left, then it would be multiplication on the right.

$\dfrac{2x}{5}=6\\\\2x=6\times 5\\\\2x=30$

Transpose 2 from the left side to the right. It is multiplication on the left, then it would be division on the right.

$2x=30\\\\x=\dfrac{30}{2}\\\\x=15$

Let's move on with the rest now.

$\dfrac{7x}{15}-1=22\\\\\dfrac{7x}{15}=22+1\\\\\dfrac{7x}{15}=23\\\\7x=23\times15\\\\7x=345\\\\x=\dfrac{345}{7}\\\\x=49.29$

$\dfrac{5x}{8}+10=2\\\\\dfrac{5x}{8}=2-10\\\\\dfrac{5x}{8}=-8\\\\5x=-8\times8\\\\5x=-64\\\\x=\dfrac{-64}{5}\\\\x=-12.8$

$\dfrac{x}{6}+4=20\\\\\dfrac{x}{6}=20-4\\\\\dfrac{x}{6}=16\\\\x=16\times6\\\\x=96$

$\dfrac{x}{3}-4=10\\\\\dfrac{x}{3}=10+4\\\\\dfrac{x}{3}=14\\\\x=3\times14\\\\x=42$

$\dfrac{x}{6}+2=8\\\\\dfrac{x}{6}=8-2\\\\\dfrac{x}{6}=6\\\\x=6\times6\\\\x=36$

$\dfrac{x}{9}+8=8\\\\\dfrac{x}{9}=8-8\\\\\dfrac{x}{9}=0\\\\x=0\times9\\\\x=0$

$\dfrac{x}{6}+7=20\\\\\dfrac{x}{6}=20-7\\\\\dfrac{x}{6}=13\\\\x=13\times6\\\\x=78$

6 0

3 years ago

3750 for 12 years at 6.5% compounded daily

Alisiya [41]

I don't think am right but I hope I can help in any possible way...

3750 for 12 years at 6.5%

multiply 12 * 6.5 = 78% for 12 years

Now we do the following equation -> 3750*0.78 = 2925

Now add 3750 + 2925 = 6675

Hope I'm correct please double check my answer I'm not 100% sure.

Good luck

8 0

2 years ago

A d-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third pie

Rina8888 [55]

1) The equation that can be used to describe this situation is; a + 2a + 1 + 5a = d

2) The equation that can be used to describe this situation is; a = 2b + 800

<h3>How to solve Algebra Word Problems?</h3>

Length of original piece = d

length of first piece = a

The second piece is twice as long as the first piece. Thus;

Length of second piece = 2a

The third piece is one inch more than five times the length of the first piece. Thus;

Length of third piece = 1 + 5a

Thus, equation for total length is;

a + 2a + 1 + 5a = d

2) State A produced 800 million pounds of apples more than twice the amount of apples in State B.

If a represents the amount of apples grown in State A and b represents the amount of apples grown in State B, then we have;

a = 2b + 800

Read more about Algebra Word Problems at; brainly.com/question/4344214

#SPJ1

5 0

11 months ago

Help me. pls ...............

zaharov [31]

Answer:

y-6=-7(x-3)

Step-by-step explanation:

m=y2-y1/x2-x1

m=-8-6/5-3

m=-14/2

m=-7

y-y1=m(x-x1) point slope

7 0

2 years ago

Write an equation of a line that passes through (3,-2) and (-1,6).​

Write an equation of a line that passes through (3,-2) and (-1,6).