All categories

2 years ago

33 points!! The line contains the point (4,-2) and is perpendicular to 4x+3y=-6 The equation of the line is:

Mathematics

1 answer:

Deffense [45]2 years ago

5 0

Answer:

y = 3/4 x - 5

Step-by-step explanation:

The slopes of perpendicular lines are negative reciprocals. We find the slope of the given line. Then we can find the slope of the reciprocal.

4x + 3y = -6

Solve for y.

3y = -4x - 6

y = -4/3 x - 2

The slope of the original line is -4/3.

The slope of the perpendicular is 3/4.

Now we need to find the equation of line with slope 3/4 that contains point (4, -2).

y = mx + b

-2 = (3/4)(4) + b

-2 = 3 + b

-5 = b

b = -5

The equation is

y = 3/4 x - 5

You might be interested in

Charlie has already spent 8 minutes on the phone, and he expects to spent 1 more minute with every phone call he routes. In all,

lisov135 [29]

Idk tbh I just need this first answer

8 0

2 years ago

PLEASE Which number sentence is true?

ANEK [815]

Answer:

D) -21.3 > -32.1 answer true .

3 0

2 years ago

a worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. THe tiles are square with side lengths 1 1/3 feet

Genrish500 [490]

Answer:

102 tiles needed to cover the entire floor.

Step-by-step explanation:

Given : A worker is tiling the floor of a rectangular room that is 12 feet by 15 feet. The tiles are square with side lengths $1\frac{1}{3}$ feet.

To find : How many tiles are needed to cover the entire floor?

Solution :

A rectangular room that is 12 feet by 15 feet.

The area of the room is $A=L\times B$

$A_r=15\times 12$

$A_r=180\ ft^2$

The tiles are square with side lengths $1\frac{1}{3}=\frac{4}{3}$ feet.

The area of the tile is $A_t=s^2$

$A_t=(\frac{4}{3})^2$

$A_t=\frac{16}{9}\ ft^2$

Number of tiles needed to cover the entire floor is

$n=\frac{A_r}{A_t}$

$n=\frac{180}{\frac{16}{9}}$

$n=\frac{180\times 9}{16}$

$n=101.25$

Therefore, Approximately 102 tiles needed to cover the entire floor.

3 0

2 years ago

Read 2 more answers

If the ribbon cost $0.10 per foot what is the total cost of the ribbon in dollars

Aliun [14]

$0.20 Because since one ribbon for one foot equals $0.10 (10 cents), you have two feet so you would have to multiply or add $0.10 and $0.10 by multiplying, you would have to multiply 10 two times which would give you 20. To add you would add 10 plus 10 and you would get yet again 30. After that you just put the form as cents which would be $0.20 :)

5 0

2 years ago

2(5x-7)=2x+10 what Is the distributive property

jek_recluse [69]

Answer:x = 3

Step-by-step explanation:

2(5x-7)=2x+10

distribute 2(5x-7)

=2*5x - 2*7

∨ ∨

10x - 14

10x - 14 = 2x + 10

add 14 to both sides

10x-14=2x+10

+14 +14

simplify

10x=2x+24

subtract 2x to both sides

10x=2x+24

-2x -2x

simplify

8x=24

divide both sides by 8

8x=24

÷8x ÷ 8x

x = 3

3 0

2 years ago