The length of a Rectangle is twice the width find the width if the perimeter is 60 cm

1 answer:

8 0

Perimeter= 2(length+width)

60= 2(l+w)
l=2w

Substitution method
60= 2(2w+w)
60= 2(3w)
30= 3w
10= w

Plug the value of w in.
l= 2(10)
l=20

Final answer: Length= 20, width=10

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Write the equation of the line perpendicular to 2x+3y=9 that passes through (-2,5). Write your answer in slope-intercept form. S

Harman [31]

ANSWER

$y = \frac{3}{2} x + 8$

EXPLANATION

The line given to us has equation,

$2x + 3y = 9$

We need to write this equation in the slope intercept form to obtain,

$3y = - 2x + 9$

$\Rightarrow \: y = - \frac{2}{3}x + 3$

The slope of this line is

$m_1 = - \frac{2}{3}$
Let the slope of the perpendicular line be

$m_2$

Then
$m_1 \times m_2 = - 1$

$- \frac{2}{3} m_2= - 1$

This implies that,

$m_2 = - 1 \times - \frac{3}{2}$

$m_2 = \frac{3}{2}$

Let the equation of the perpendicular line be,

$y = mx + b$

We substitute the slope to get,

$y = \frac{3}{2} x + b$

Since this line passes through
$(-2,5)$
it must satisfy its equation.

This means that,

$5= \frac{3}{2} ( - 2)+ b$

$5 = - 3 + b$

$5 + 3 = b$

$b = 8$

Wherefore the slope-intercept form is

$y = \frac{3}{2} x + 8$

6 0

4 years ago

For the inequality, -4x + 5 >-5

vodka [1.7K]

Answer:

x<2.5

Step-by-step explanation:

-4x +5>-5

-4x>-5-5

-4x>-10

x<10/4(on multiplying (-)ve sign both the sides inequality changes)

x < 2.5