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amid [387]
2 years ago
10

Find the value of r so the line that passes through the pair of points has the given slope,

Mathematics
2 answers:
AlekseyPX2 years ago
8 0

Answer:r = 14

Step-by-step explanation:

aleksley [76]2 years ago
6 0

Answer:

r = 14

Step-by-step explanation:

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

\frac{-4-r}{8-2}= -3 \\\\\frac{-4 - r}{6} = - 3

Cross multiply,

-4 - r = -3*6

-4 - r = -18

-4  = - 18 + r

-4 + 18 = r

r = 14

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A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of t
Wewaii [24]

Answer:  The length is 510 and the width is 110.

Step-by-step explanation:

To find the area of a rectangle, you will have to add the 2 times the length plus 2 times the width because  a rectangle have 4 sides. Two widths and two  lengths.

You can now use the formula  P= 2l + 2w  

were P is the perimeter , l is the length, and w is the width.

the length is 400 more than the width, so we can represent that by the equation,  l = w + 400  

And now we know that the width is w.

So now we will input the perimeter, length, and into the formula to solve for w.

1240 = 2(w + 400) + 2w

1240 = 2w + 800 + 2w

1240 = 4w + 800

-800            -800

   440 = 4w

    w = 110

L= 110 + 400

L = 510  

Check :

1240 = 2(510) + 2(110)

1240 = 1020 + 220

1240 = 1240

5 0
2 years ago
Find the most important variable in the problem.
natali 33 [55]

Answer:

A

Step-by-step explanation:

Let

x = the number of phone available

If it would require 8 more phones, then the total number of phones will be x + 8.

A company hired an additional 12 employees, and every employee needed a phone, then

x + 8 = 12

x = 4

This means 4 phones were available (and 8 more needed to total in 12 phones for 12 new employees)

Hence, correct option is option A.

3 0
3 years ago
Find f(x) and g(x) so that the function can be described as y=f(g(x))<br> y=(9/x^2)+2
eduard

there are many combinations for it, but we can settle for say


\bf \begin{cases} f(x)=x+2\\[1em] g(x)=\cfrac{9}{x^2}\\[-0.5em] \hrulefill\\ (f\circ g)(x)\implies f(~~g(x)~~) \end{cases}\qquad \qquad f(~~g(x)~~)=[g(x)]+2 \\\\\\ f(~~g(x)~~)=\left[ \cfrac{9}{x^2} \right]+2\implies f(~~g(x)~~)=\cfrac{9}{x^2}+2

6 0
3 years ago
What feature do plants have that provide structure and form?
Nostrana [21]
It should be a.), all plant cells have a cell wall made of cellulose, which acts as exoskeleton and makes them so stable. However on a bigger level this plant cells can also form cellulose fibers, so that c.) is not completely false :)
8 0
3 years ago
Multiple the binomials (x+3)^2
maxonik [38]

Answer:

=x^2+6x+9

Step-by-step explanation:

\left(x+3\right)^2\\\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\a=x,\:\:b=3\\=x^2+2x\cdot \:3+3^2\\\mathrm{Simplify}\:x^2+2x\cdot \:3+3^2:\quad x^2+6x+9\\x^2+2x\cdot \:3+3^2\\\mathrm{Multiply\:the\:num\\bers:}\:2\cdot \:3=6\\=x^2+6x+3^2\\3^2=9\\=x^2+6x+9

8 0
3 years ago
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