If a line has a slope of 3, what is the slope of a line perpendicular to it?

Answers

Answer 1

Answer:

- [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]

Here m = 3 , then

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{3}[/tex]


Related Questions

Evaluate the expression below when x = 4 and y = -2 *

Answers

Answer:

Evaluate the expression below when x = 4 and y = -2 *

hii your question is incomplete

can you please recheck once

there is no expression given

help me please as soon as possible. I will mark you as the brainliest

Answers

1) 36

2) 143

3) 18

4) 12

5) 15

6) 108

7) 58

The key here is to perform direct substitution in each problem.

I'll do a quick working down here

1) 9(8-4)= 9*4 =36

2) 4(5*4)+7*9= 80+63 =143

3) 114-(3*8*4)= 114-96=18

4) 24/(1*2) = 24/2 = 12

5) 19 - (28/7) = 19- 4 = 15

6) 3 (6)^2 = 3*6*6= 108

7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58

1. 9(8-4)= 9*4= 36; I have first subtracted everyhting in the brackets and then multiplied the value.
2. 4(5)(4)+7(9)= 80+63= 143
3. 114-3(8)(4)= 114-96= 18
4. 24/(2)(1)= 24/2= 12
5. 19-28/7= 19-4= 15
6. 3(6)^2= 18*18= 324
7. 49-9^2+ 6^2= 68

What is the volume of this container 4 ft2 2 ft3 2 ft2 4 ft3

Answers

Answer:

2 [tex]ft^{3}[/tex]

Step-by-step explanation:

volume of a cuboid = length * breadth * height

= 2*1*1

=2 [tex]ft^{3}[/tex]

Answer:

The volume of container is 2 ft ³.

Step-by-step explanation:

We have,

Length = 1 ft .Breadth = 1 ft.Height = 2 ft.

We have Formula, Volume of Cuboid.

[tex] \small \sf \mapsto \: Volume = length × breadth × height[/tex]

substitute the values

[tex] \small \sf \mapsto \: Volume = 1 ft × 1 ft × 2 ft[/tex]

multiply the values

[tex] \small \sf \mapsto \: Volume = 2 \: ft {}^{3} [/tex]

Hence, the volume of container is 2 ft ³.

What is the slope of the line on the graph below?
5
4
3
4
1
54 321
1 2 3 4 5 X
wy
-
0

Answers

Answer:

positive slope

Step-by-step explanation:

when a graph is sloping to the right it means it has a positive . the gradient of this straight is positive .

gradient of the line is greater than 0

The slope of the line is m = 2

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 1 , 3 )

Let the second point be Q ( 0 , 1 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 3 - 1 ) / ( 1 - 0 )

m = 2

Therefore , the value of m is 2

Hence , the slope is 2

To learn more about equation of line click :

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Patty’s gymnastics class is 5
6
of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill?

Explain how to use an area model to solve the problem.

Answers

Answer:

possibly 11 hours on each which is embarrassing

find the area of the Shaded sector. round to the nearest hundreds place
HELP!!! ASAP​

Answers

Answer:

[tex]192.27\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of sector with radius [tex]r[/tex] and measure [tex]\theta[/tex] is give by [tex]A=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex]. Since vertical angles are congruent, the two shaded sectors in the figure are congruent.

What we're given:

2 sectors of equal areaEach sector has a radius of 9 cmEach sector has a measure of 136 degrees

Therefore, the area of the shaded regions (two sectors) is:

[tex]A=2\cdot 9^2\pi\cdot \frac{136}{360}=192.2654704\approx \boxed{192.27\:\mathrm{cm^2}}[/tex]

Find the nth term for 3,8,13,18

Answers

Answer:

5n - 2

Step-by-step explanation:

3 + x = 8

8 - 3 = 5

5 = x

3 (first term) - 5 = -2

5n - 2

Answer:

nth term = 5n - 2

Step-by-step explanation:

The given sequence is 3, 8, 13, 18.

To find the nth term, we have to find the algebraic expression.

Algebraic expression = dn + b'd' means the common difference which can be found by subtracting one term with its previous term. 'b' is the difference between the first term and the com - mon difference.

So, d = 8 - 3

    d = 5

b = first term - common difference

b = 3 - 5

b = (-2)

Algebraic expression or the nth term =

5n + (-2)

5n - 2.

Thus, the nth term equals to 5n-2!

An angle is bisected, forming two new angels. If the original angle had a measure of 14 degree, what is the measure of each new angle

Answers

Answer:

The measure of each angle will be 7 degrees. It is because a bisector divides an angle in two equal halves. 14 / 2 = 7

1.5 m
7.1 m
7.1 m
V=

Answers

Answer:

75.615 m^3

Step-by-step explanation:

volume is length x width x height

7.1*7.1*1.5

75.615 m^3

Answer:

POINTS

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of a leg is 3x−7. The perimeter of the triangle is 77. Find x.

Answers

Answer: x=13


Step 1: Define isosceles triangle

In an isosceles triangle, two sides and angles are equal. The equal sides will be the legs.

Step 2: Write an equation

To write an equation we must first consider the information discussed in step 1. Since we know that the legs will be equal, we will add that to the equation twice. The base and legs will be on one side of the equation, and the perimeter will be on the other. Now we can write the equation!

x+3x-7+3x-7=77

Step 3: Combine like terms

Like terms are terms that share the same variable, or lack of. Let’s add/subtract these now.

x+3x-7+3x-7=77
7x-14=77

Step 4: Solve for x

Let’s do the last part of the equation and solve for x, our final answer.

*Rewrite equation*
7x-14=77
*Add 14 to both sides*
7x=91
*Divide 7 on both sides*
x=13

This is your answer. Hope this helps! Comment below for more questions.

help pls it’s due in 2 hours

Answers

Step-by-step explanation:

tan < BCA = x/y = 3/18= 0.1667

< BCA = arc tan 0.1667 = 9.464° => 9.46°

Convert 4cm to meters

Answers

Answer:0.04

Step-by-step explanation:

Answer:

0.04 meters

It's too simple

PLZ ANSWER AND EXPLAIN IN DETAIL !!!!​

Answers

Answer:

720 liters

Step-by-step explanation:

In 2019 (a non-leap year)

January has 31 days

February has 28 days

March has    31 days

The Total number of days is 90 days

Each day shows a consumption rate of 8 liters / day

Total consumption = 8 * 90 = 720

Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3

What is the length of segment BC?

Answers

Answer:

3

Step-by-step explanation:

A'B'C'D' is 3 times bigger than ABCD, so to get back to the original we gotta count the length of B'C' and devide by 3

[tex]9 \div 3 = 3[/tex]

The length of the segment BC or preimage of BC was 3 units.

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, A Quadrilateral A' B'C'D' is the image of quadrilateral ABCD under a dilation with a scale factor of 3.

From the graph diagram the length of segment B'C' is 9 units.

Therefore, Before the dilation, the length of the segment BC would be

(1/3)×9.

= 3 units.

learn more about transformations here :

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Find the area of an equilateral triangle whose value is 18 cm​

Answers

Answer:

[tex]18 + 18 + 18 = 18 \times 3 = 54[/tex]

Step-by-step explanation:

I ain't sure but it might help you out:D

Answer:

140.3 cm²

Step-by-step explanation:

area of an equilateral triangle

[tex] = \frac{\sqrt{3} }{4} {a}^{2} [/tex]

where a is the side of the triangle

[tex] = \frac{ \sqrt{3} }{4} \times {18}^{2} \\ = 140.3 \: cm {}^{2} [/tex]

What is the base in 2^8 *

Answers

Answer:

For a single digit in base 8, we need up to three digits in base 2. For two digits in base 8, we need 4, 5, or 6 digits in base 2. For three digits in base 8, we need 7, 8, or 9 digits in base 2.

Step-by-step explanation:

Answer:

Base = 2

Step-by-step explanation:

2⁸

Here 2 is the base and 8 is the exponent

18⅔ ÷ ⅔
how many children are there?

Answers

The answer is 28

Explanation:


18⅔ ÷ ⅔

= 56/3 ÷ 2/3
= 56/3 x 3/2

= 56/2

=28

Intermediate Algebra, Please help

Answers

Answer:

B

Step-by-step explanation:

Other answers look like utter bs

Area of circle =
A) 36 pie square units
B) 6 pie square units
C) 12 pie square units

Answers

Answer:

36 pi

Step-by-step explanation:

The radius is 6

A = pi r^2

A = pi 36

Answer:

Area of circle = 36 π square unit

Step-by-step explanation:

To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.

Area of circle = π × r²

where,

r is the radius of circle

substitute the value

Area of circle = π × ( 6 ) ²

expand the exponent

Area of circle = π × 36

multiply

Area of circle = 36 π square unit

if 1/a+1/b+1/c=1/a+b+c then prove that 1/a^9+1/b^9+1/c^9=1/a^9+1/b^9+1/c^9​

Answers

Answer:

The given relation is presented as follows;

[tex]\dfrac{1}{a} + \dfrac{1}{b} +\dfrac{1}{c} = \dfrac{1}{a + b + c}[/tex]

Where 'a', 'b', and 'c' are member of real numbers, we have;

a⁹, b⁹, and c⁹ are also member of real numbers

When a⁹ = x, b⁹ = y, and c⁹ = z

By the above relationship, we have;

[tex]\dfrac{1}{x} + \dfrac{1}{y} +\dfrac{1}{z} = \dfrac{1}{x + y + z}[/tex]

Substituting x = a⁹, y = b⁹, and z = c⁹, we get;

[tex]\dfrac{1}{a^9} + \dfrac{1}{b^9} +\dfrac{1}{c^9} = \dfrac{1}{a^9 + b^9 + c^9}[/tex]

Step-by-step explanation:

Solve 12x + 5 = 4x + 37

Answers

Step-by-step explanation:

12x-4x=37-5

8x=32

x=32/8

x=4

Quick please someone help!!! This is my last day to turn in work and if I don’t I’m getting my phone, tv and privileges to go hang out with friends taken away. I would really like to keep my friends so please help me!!! :,(

Answers

Answer:

angle MPN = 79°

angle MPQ = 101°

The line that passes through the points (5, 3)
and (8. A) is perpendicular to the line
6x + 7y + 13 = 0. Determine the value of A.

Answers

Answer:

[tex] \frac{13}{2} [/tex]

Step-by-step explanation:

slope of the line that passes thru (5, 3) and (8, A)

[tex] = \frac{a - 3}{8 - 5} \\ \frac{a - 3}{3} [/tex]

the line that is perpendicular to the given line is

6x + 7y + 13= 0

finding the slop of this line :-

[tex]6x + 7y + 13 = 0 \\ 7y = - 6x - 13 \\ y = - \frac{6}{7} x - \frac{13}{7} [/tex]

Comparing with standard equation of a line

y = mx + c

where m is the slop and c is the y- intercept

m = - 6/ 7

Since, the two lines are perpendicular to each other the product of their slopes will be - 1

[tex] \frac{a - 3}{3} \times \frac{ - 6}{7} \\ \frac{ - 2(a - 3)}{7} = - 1 \\ - 2a + 6 = - 7 \\ - 2a = - 7 - 6 \\ - 2a = - 13 \\ 2a = 13 \\ a = \frac{13}{2} [/tex]

( canceling the 2 negative signs on both the sides )

from a ship at sea,the angle of elevation of the top and. bottom a vertical lighthouse standing on the edge of a vertical cliff are 31° abd 26°, respectively. if the light house is 25.0m high,calculate the height of the cliff​

Answers

[tex]<marquee>Give:/u Name[/tex]

Find the equation of a line that is parallel to y = 5x + 1 and passes through the point (3, -4).
Give your answer in the form y = mx + b.

Answers

Given:

The equation of a line is:

[tex]y=5x+1[/tex]

A line is parallel to the given line and passes through the point (3,-4).

To find:

The equation of the line in the slope intercept form.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]             ...(i)

Where, m is the slope and b is the y-intercept of the line.

We have,

[tex]y=5x+1[/tex]                ...(ii)

On comparing (i) and (ii), we get

[tex]m=5[/tex]

Slope of the given line is 5.

We know that the slopes of parallel lines are equal. So, the slope of the required line is 5.

The required line passes through the point (3,-4) with slope 5. So, the equation of the required line is:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-(-4)=5(x-3)[/tex]

[tex]y+4=5(x)+5(-3)[/tex]

[tex]y+4=5x-15[/tex]

Subtracting 4 from both sides, we get

[tex]y+4-4=5x-15-4[/tex]

[tex]y=5x-19[/tex]

Therefore, the equation of the required line is [tex]y=5x-19[/tex].

Help please will be marked as brainliest if correct.

Answers

Answer:

5

Step-by-step explanation:

Greater than 0

Less than 100

Is not 4, but is greater than four

Is less than 5.5

Must be a whole number

5 is the only whole number between 4 and 5.5

[tex]x^{2} +2000+15637=56 \\\\what is X\\\\PLEASE HELP[/tex]

Answers

Answer:

not defined

Step-by-step explanation:

[tex] {x}^{2} = 56 - 2000 - 15637 \\ {x}^{2} = - 1758[/tex]

You get 11 points if you answer a.s.a.p

Answers

Answer:

Have you got it now?

Step-by-step explanation:

Car price $118,191
Percent for car loan: 2.49%
36 months

Find monthly payment show work

Answers

Answer:

3410.64

Step-by-step explanation:

Gonna assume that the 2.49 is the APR

present value of the loan= present value of the payments

effective rate: .0249/12= .002075

x= payment

[tex]118191=x\frac{1-(1+.002075)^{-36}}{.002075}\\118191=34.6536494355x\\x=3410.63645317[/tex]

Write the equation of a line with the following slope and y-
intercept.
Slope= -3, y-intercept = 2

Y= -3x+2

Y= 2x-3

Y= -3x-2

Answers

Answer:

[tex]Y= -3x+2[/tex]

Step-by-step explanation:

Slope : [tex] - 3[/tex]

y-intercept = 2

Hope it is helpful...
Answer: Y=-3x+2 using the equation Y=Mx+b
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