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4 years ago

The lines graphed below are perpendicular. The slope of the red line is 3. What is the slope of the green line?

Mathematics

2 answers:

allochka39001 [22]4 years ago

7 0

→Answer:

-1/3

→Step-by-step explanation:

Well this is pretty simple.

2 lines that are perpendicular to each other are both reciprocals of each other.

So what’s the reciprocal of 3?

Ans: -1/3

Nastasia [14]4 years ago

6 0

Answer:

Hey there!

The slope of the green line is -1/3.

Perpendicular lines have opposite reciprocal slope.

Hope this helps :)

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Select all the ordered pairs that make this statement true?

Ierofanga [76]

Answer: (24,-9)

(0,9)

(4,6)

Step-by-step explanation:

3x + 4y = 36

Using (3,-2) will be:

= 3(3) + 4(-2)

= 9 - 8 = 1

Using (1,7) will be

= 3(1) + 4(7)

= 3 + 28 = 31

Using (0,0) equals to 0

Using (24,-9) will be:

= 3(24) +4( -9)

= 72 - 36 = 36

Using (0,9) will be:

= 3(0) + 4(9)

= 0 + 36 = 36

Using (4,6) will be:

3(4) + 4(6)

= 12 + 24

= 36

Using (-12,18) will be:

= 3(-12) + 4(-18)

= -36 - 72

= -108

The correct options are (24,-9), (0,9 and (4,6)

5 0

3 years ago

A lab technician made a 14 cm diameter hole through the middle of a cylinder that has a diameter of 20 cm and a height of 28 cm.

Step2247 [10]

Answer:

The volume of the finished cylinder is $4486.2 m^3$

Step-by-step explanation:

To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).

Note: The hole is also cylindrical in shape.

The volume of a cylinder is given as:

$V = \pi r^2h$

where r = radius, h = height

VOLUME OF THE HOLE

The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)

Its volume is:

$V = \pi *7^2 * 28\\V = 4310.3 m^3$

VOLUME OF THE ORIGINAL CYLINDER

The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)

Its volume is:

$V = \pi *10^2 * 28\\V = 8796.5 m^3$

Hence, the volume of the finished cylinder will be:

$8796.5 - 4310.3 = 4486.2 m^3$

The volume of the finished cylinder is $4486.2 m^3$

8 0

3 years ago

--8W + 5 = -43<br> what’s this?

nataly862011 [7]

Answer:

it is the equation which you have to solve.

3 0

3 years ago

What are the coordinates of the point on the directed line segment from (5,5) to

iogann1982 [59]

Answer:

$(x,y) = (6,2)$

Step-by-step explanation:

Given

$(x_1,y_1) = (5,5)$

$(x_2,y_2) = (8,-4)$

$m:n = 1:2$

Required

Determine the coordinate of the partition

This is calculated using:

$(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})$

Substitute values for m,n,x's and y's

$(x,y) = (\frac{1 * 8 + 2 * 5}{1+2},\frac{1*-4 + 2*5}{1 + 2})$

$(x,y) = (\frac{18}{3},\frac{6}{3})$

$(x,y) = (6,2)$

6 0

3 years ago

1 4/7 <br>_______<br>- 15/ 21

Sati [7]

Answer: -11/5

Step-by-step explanation:

$\frac{11}{7}$ ÷ $\frac{-15}{21}$

- $\frac{11}{7}$ × $\frac{21}{15}$

-11× $\frac{3}{15}$

-11 × $\frac{1}{5}$

3 0

3 years ago