The length would be 26 and the width would be 16.
L = length
w = width
p = perimeter

p=72

2L+2w=72

L=w+4

2(w+4) + 2w = 72
2w + 8 + 2w = 72
4w = 64
w = 16

2L + 2(16) = 72
2L + 32 = 72
2L = 52
L = 26

w = 16
L = 26

3 0

3 years ago

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What is the slope of the line that passes through the points (2, -4) and (2, 4)?

ipn [44]

Answer:

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Step-by-step explanation:

it going up the x axis

if it was flat it would be zero

7 0

3 years ago

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Suppose the roots of the equation 2x^2−5x−6=0 are α and β.Find the quadratic equation with roots 1/α and 1/β.

pochemuha

Answer:

6x² + 5x - 2 = 0

Step-by-step explanation:

Given

2x² - 5x - 6 = 0 ← in standard form

with a = 2, b = - 5, c = - 6, then

sum of roots α + β = - $\frac{b}{a}$ = $\frac{5}{2}$

product of roots = $\frac{c}{a}$ = - 3, then

sum of new roots = $\frac{1}{\alpha }$ + $\frac{1}{\beta }$

= $\frac{\beta+\alpha }{\alpha \beta }$

= $\frac{\frac{5}{2} }{-3}$ = - $\frac{5}{6}$

product of new roots = $\frac{1}{\alpha }$ × $\frac{1}{\beta }$

= $\frac{1}{\alpha\beta }$ = - $\frac{1}{3}$

Hence the required equation is

x² + $\frac{5}{6}$ x - $\frac{1}{3}$ = 0 or

6x² + 5x - 2 = 0 ( multiplying through by 6 )

8 0

3 years ago

Find the value of x for which L parallel m (3x-33) (2x+26)

Anarel [89]

Answer:

Step-by-step explanation:

Find the diagram attached

From the diagram, we can see that both given angles are vertically opposite angles, hence they are equal

3x - 33 = 2x+26

3x-2x = 26 + 33

x = 59

Hence the value of x is 59

6 0

3 years ago