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ANTONII [103]
3 years ago
12

O can not be determined 3. Write a linear equation in slope intercept form of a line with a slope of 12 andy intercept of 10 a.

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
7 0

y = 12x + 10       is this right

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Find the value of k so that 48x-ky=11 and (k+2)x+16y=-19 are perpendicular lines.
Rufina [12.5K]

Answer: k = -1 +/- √769

<u>Step-by-step explanation:</u>

48x - ky = 11

<u>-48x        </u>  <u> -48x</u>

         -ky = -48x + 11

         \frac{-ky}{-k} = \frac{-48x}{-k} + \frac{11}{-k}    

           y =\frac{48x}{k} - \frac{11}{k}

Slope: \frac{48}{k}

*************************************************************************

 (k + 2)x + 16y = -19

<u>- (k + 2)x          </u>   -<u>(k + 2)x </u>

                 16y = -(k + 2)x - 19

                  \frac{16y}{16} = -\frac{(k + 2)x}{16} - \frac{19}{16}

                  y = -\frac{(k + 2)x}{16} - \frac{19}{16}

Slope: -\frac{(k + 2)}{16}

**********************************************************************************

\frac{48}{k} and -\frac{(k + 2)}{16} are perpendicular so they have opposite signs and are reciprocals of each other.  When multiplied by its reciprocal, their product equals -1.

-\frac{(k + 2)}{16} *  \frac{k}{48} = -1

\frac{(k + 2)k}{16(48)} = 1

Cross multiply, then solve for the variable.

(k + 2)(k) = 16(48)

k² + 2k - 768 = 0

Use quadratic formula to solve:

k = -1 +/- √769



5 0
3 years ago
Carly has a coupon for 15% off the
wel
15% = 0.15

234.00 x 0.15 = 35.10

234.00 - 35.10 = 198.90

The camera will cost $198.90 after the discount.
6 0
3 years ago
Read 2 more answers
Ben dives from a 10-foot platform. The equation h = -16 t 2 + 27t + 10
Tpy6a [65]
Today Ben x+20=13+20=33
7 0
3 years ago
What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point
kiruha [24]
This is going to be an long answer, so I'm putting the answer first. y=3x-7

First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3

Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7

Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
5 0
3 years ago
Read 2 more answers
Write two times eighteen hundredths
Rzqust [24]

Answer

:2 X 0.018 = 0.036 (thirty six hundreds)

Step-by-step explanation:

8 0
2 years ago
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