Each big square below represents one whole.<br> What percent is represented by the shaded area?

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

3 years ago

Y=x+2<br> 3x+3y=6<br> solving systems by substitution

motikmotik

Answer:6

Step-by-step explanation:Reorder

2

and

−

x

-

x

.

y

=

−

x

+

2

y

=

-

x

+

2

3

x

+

3

y

=

6

3

x

+

3

y

=

6

Replace all occurrences of

y

in

3

x

+

3

y

=

6

3

x

+

3

y

=

6

with

−

x

+

2

-

x

+

2

.

y

=

−

x

+

2

y

=

-

x

+

2

3

x

+

3

(

−

x

+

2

)

=

6

3

x

+

3

(

-

x

+

2

)

=

6

Simplify

3

x

+

3

(

−

x

+

2

)

3

x

+

3

(

-

x

+

2

)

.

Tap for more steps...

y

=

−

x

+

2

y

=

-

x

+

2

6

=

6

=

6

Since

6

=

6

=

6

, the equation will always be true.

y

=

−

x

+

2

y

=

-

x

+

2

Always true

Remove any equations from the system that are always true.

y

=

−

x

+

2

6 0

3 years ago

The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.

UkoKoshka [18]

Answer:

40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

A = LW = (3w)(w) = 3w^2

P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

75 in^2 = 3w^2

25 in^2 = w^2 . . . . . divide by 3

5 in = w . . . . . . . . . square root

Then the perimeter is ...

P = 8w = 8(5 in) = 40 in

7 0

2 years ago

Determine the standard form of the equation for the circle with center (h,k) =( -5, 1/2) and radius r=1

FrozenT [24]

Answer:

$(x + 5) ^{2} + {(y - \frac{1}{2}) }^{2} = 1$

Step-by-step explanation:

the formula of a circle is

${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$

knowing the values of h, k, and r we can substitute them into the formula

knowing the

6 0

2 years ago

If need any help editing an essay or something you can not do on here heres my number

stellarik [79]

Answer:

on what's app ?

Step-by-step explanation:

or telegram ?

7 0

3 years ago

Each big square below represents one whole. What percent is represented by the shaded area?