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sattari [20]
3 years ago
9

linear equation in point slope form for a line that passes through the point (3,2) and has a slope of -4

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer:

  (c)  y-2 = -4(x-3)

Step-by-step explanation:

The point-slope equation of a line is ...

  y -k = m(x -h) . . . . . . line through point (h, k) with slope m

For (h, k) = (3, 2), and m = -4, the equation of the line is ...

  y -2 = -4(x -3)

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Want to know if my answers is right anyone thanks.
Firlakuza [10]
Yes you answer is right
3 0
3 years ago
Simplify the expression by factoring, showing the steps in your work.
alexdok [17]

Given:

$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}

To find:

The simplified expression by factoring.

Solution:

Let us factor the numerator:

12 x^{2}+31 x+7

31x can be written as 3x + 28x.

    =\left(12 x^{2}+3 x\right)+(28 x+7)

Take 3x common in 1st two terms and 7 common in next two terms.

    =3 x(4 x+1)+7(4 x+1)

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

    =(4 x+1)(3 x+7)

In the same way, factorize the denominator:

16 x^{2}+8 x+1

8x can be written as 4x + 4x.

     =(16 x^{2}+4 x)+(4x+1)

Take 4x common in 1st two terms and 1 common in next two terms.

     =4x(4 x+1)+1(4x+1)

Make sure the remaining terms in the both brackets must be same.

Now, take out common factor (4x + 1).

     =(4x+1)(4x+1)

Substitute the terms we found for numerator and denominator:

$\frac{12 x^{2}+31 x+7}{16 x^{2}+8 x+1}=\frac{(4 x+1)(3 x+7)}{(4 x+1)(4 x+1)}

Cancel the common factors.

                        $=\frac{3 x+7}{4 x+1}

The simplified expression is \frac{3 x+7}{4 x+1}.

3 0
4 years ago
Write an expression to match the statement 1/5 of the difference between 18 and 11
dalvyx [7]
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3 years ago
QF Q2.) Solve the triangle
Vinvika [58]
C=180-A-B=180-67-53=60deg.

by sine rule

b/sinB=a/sinA
b=a/sinA*sinB
=13/sin(67)*sin(53)
= 11.28

c/sinC=a/sinA
c=a/sinA*sinC
=13/sin(67)*sin(60)
= 12.23
7 0
3 years ago
Read 2 more answers
Cynthia bought a shirt for $35 that was originally $55. What was the percent change in the price of the shirt? Round to the near
Marina86 [1]

Answer:36.36%

Step-by-step explanation:

%change=100 X (final-inital value) divided by initial

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