All categories

2 years ago

Find the equation of the line through (- 7, - 2) that is perpendicular to the line y = x/3 + 6 .

Mathematics

1 answer:

frez [133]2 years ago

7 0

Answer:

y+3x+23=0

Step-by-step explanation:

From y = x/3 + 6 comparing with general equation of a line, y = mx +c

m1 = 1/3

Perpendicularity rule states that m1m2 = -1

m2 = -1/1/3 = -1 * 3/1 = -3

The equation is

y-y1 = m2(x-x1)

y-(-2) = -3(x-(-7))

y+2 = -3(x+7)

y+2 = -3x-21

y = -3x-21-2

y= -3x-23

y+3x = -23

y+3x+23=0

You might be interested in

On a certain hot summer's day, 477 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for ad

Akimi4 [234]

Answer:

212 children, and 265 adults

Step-by-step explanation:

To find the number of children and adults, we can set up a systems of equations.

x= number of children

y= number of adults

Equation 1: Price

1.50x+2.25y=914.25

Equation 2: Total number of people

x+y=477

Now, let's solve the equation using substitution.

Rearrange the second equation to solve for one variable.

x+y=477

x=477-y

Now plug x equals into the first equation, and solve for y.

1.50x+2.25y=914.25

1.50(477-y)+2.25y=914.25

715.5-1.50y+2.25y=914.25

715.5+0.75y=914.25

0.75y=198.75

y=265

We just solved for the number of adults. Now let's plug y equals into the second equation to find the number of children.

x+y=477

x+265=477

x=212

7 0

1 year ago

Solve the system of linear equations below 2x-y=0 3x-2y=-3

Lynna [10]

2x - y = 0
2x = y

3x - 2(2x) = -3
3x - 4x = -3
-x = -3
x = 3

2(3) = y
6 = y

3 0

2 years ago

Got another question for you guys! What is 12.5 x 4.2?

yarga [219]

Answer:

52.5

Step-by-step explanation:

3 0

2 years ago

The figures below are rectangles. Which polynomial represents the area of the shaded region? HAVE ALL MY POINTS but answer truth

Aleks04 [339]

Answer:

$7x - 1$

Step-by-step explanation:

Area of the shaded region = area of the large rectangular - area of the small rectangle

Area of rectangle is given as l*w

Area of the large rectangle = $l*w = (x + 5)(x - 1)$

Expand

$= x(x - 1) +5(x - 1)$

$= x^2 - x + 5x - 5$

Area of large rectangle $= x^2 + 4x - 5$

Area of small rectangle = $l*w = (x + 1)(x - 4)$

$= x(x - 4) +1(x - 4)$

$= x^2 - 4x + x - 4$

Area of small rectangle = $= x^2 - 3x - 4$

Area of shaded region = $(x^2 + 4x - 5) - (x^2 - 3x - 4)$

$= x^2 + 4x - 5 - x^2 + 3x + 4$

Collect like terms

$= x^2 - x^2 + 4x + 3x - 5 + 4$

$= 7x - 1$

6 0

2 years ago

Danika opened 3 packs of gum there were 8 pieces of gum in each pack. She gave an equal number of pieces of gum to each of her 4

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

8x3=24

24 divided by 4 = 6 pieces of gum to each friend.

7 0

2 years ago