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Angelina_Jolie [31]
3 years ago
11

The length of a rectangle is 4 yd more than twice the width x. The area is 390

Mathematics
1 answer:
masya89 [10]3 years ago
3 0

Step-by-step explanation:

step 1. let l be the length of the rectangle

step 2. l = 2x + 4

step 3. lx = 390 yd^2

step 4. (2x + 4)x = 390

step 5. 2x^2 +4x = 390

step 6. 2x^2 + 4x - 390 = 0

step 7. -4 +- sqr(4^2 -4(2)(-390))/2(2) quadratic formula

step 8. (-4 +- sqr(3136))/4

step 9. (-4 +- 56)/4

step 10. x = 13yd, l = 2x + 4 = 2(13) + 4 = 30yd.

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Stolb23 [73]

Answer:

  1. y = -\frac{4}{5} x - \frac{14}{5}
  2. y = \frac{5}{4} x -11

Step-by-step explanation:

Given line ;

y = \frac{5}{4} x -3\\\\m = slope\\m = \frac{5}{4}

1. Perpendicular and passes through (4,-6)

m_1 = \frac{5}{4} \\\\m_2 = \frac{-1}{m_1} \\\\m_2 = \frac{-1}{\frac{5}{4} } \\\\m_2 = -\frac{4}{5} \\\\(4,-6)=(x ,y)\\

Substitute the values above into slope intercept form ; y=mx+b and solve for b.

y =mx+b\\\\-6 = -\frac{4}{5} (4) + b\\\\-6 = -\frac{16}{5} + b\\\\-6 + \frac{16}{5} = b\\\\-\frac{14}{5} = b\\\\b = -\frac{14}{5}\\\\m = - \frac{4}{5}

Substitute new values into ; y =mx+b.

y = -\frac{4}{5} (x)- (\frac{14}{5} )\\\\y = -\frac{4}{5} x - \frac{14}{5}

2.Parallel and passes through (4,-6)

m = \frac{5}{4} \\\\(4,-6)=(x_1,y_1)

Substitute values into point slope  form and simplify

y-y_1=m(x-x_1)\\\\y - (-6) = \frac{5}{4} (x -4)\\\\y+6 = \frac{5}{4} x -5\\\\y = \frac{5}{4} x -5-6\\\\y = \frac{5}{4} x -11

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3 years ago
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sertanlavr [38]
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plug in 6 for k

44(6 - 6)

Follow PEMDAS

6 - 6 = 0

44(0) = 0

your answer is 0

hope this helps
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Step-by-step explanation:

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when x=30

y=-2*30=-60

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Step-by-step explanation:

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