Another line “r” is perpendicular to the line 3y = 6x + 9. Find the gradient of the line "r" show your working

Answers

Answer 1

Answer:

Line r has a gradient of -1/2

Step-by-step explanation:

Perpendicular lines have a gradient of negative reciprocal to each other such that multiplying both the slopes give -1

=> Gradient of this line = 2

=> Gradient of line perpendicular to it = [tex]\frac{-1}{2}[/tex]

Multiplying both gradients:

=> 2 * [tex]\frac{-1}{2}[/tex]

=> -1

(SO They are perpendicular!)


Related Questions

Find the x-intercept and y-intercept
from the following linear equation:
6x – 9y = 54
x - intercept ([?], [])
y - intercept ([],[])

Answers

y= (0,-27)
x= (9,0)
That is the answer to this question I’m just hoping more because they won’t let me submit it if it’s under 20 characteristics

Answer:

X=(9,0)

Y=(0,-6)


Solve log x= 3.
x=3
x= 30
x= 1,000
x= 10,000

Answers

Log x = 3 > x=10^3 > x=1000 so the answer is 1000

The value of x must be equal to 1000

What is the logarithmic function?

In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as

For x > 0 , a > 0, and a ≠1,

y= logₐ x if and only if x = a^y

Then the function is given by

f(x) = logₐx

Given here  log x= 3 ⇒x=10³

                                 ⇒x=1000

Hence, The value of x must be equal to 1000

Learn more about the logarithmic function here:

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If h(x) is the inverse of f(x), what is the value of h(f(x))?
N
0
х
f(x)

Answers

Answer:

If f and h are inverses, then:

f (h(x) ) = x   and also

h( f(x) ) = x

Step-by-step explanation:

Inverse function: The function f(x) goes from domain to range and the inverse function f^{-1} goes from Range to domain

Option C is correct

I would appreciate it if you marked me brainliest :)

If f(x) = 5x + 40, what is f(x) when x = -5?
N
ܩ ܣ
15

Answers

Answer:

15

Step-by-step explanation:

f(x)=5x+40

so f(5)=5(-5)+40

f(5)= -25+40

f(5)=15

please helppppppppppppppp fine x its high school geometry

Answers

First take triangle BDH. We know B is 46 degrees and D is 33 degrees. Since the angles of a triangle equal 180 we get
180 - 46 - 33 = 101 for H.
H is supplementary to x, so their sum is also 180. This gives 180 - 101 = 79.
So x is 79 degrees.

Given the graph below, which of the following statements is true?

Answers

Since there is nothing attached for me to help you I looked for a website that can find the answer with an explanation. It is called quickmath it’s like a math calculator . Hopefully that helps you .

What is the slope of the line passing through the points (1, 2) and (5, 4)?


−2

1/2

2

1

Answers

Answer:

The answer would be 1/2

Write 0.03 as percents.

Answers

Answer:

3%

Step-by-step explanation:

Just move the decimal 2 spaces to the right .03 becomes 3% :)

0.03 as a percentage is 3%. Hope that helped:))

2. Solve this problem: There will be 460 people at the sport's award banquet. If each table seats 8 people, how many tables are needed?

A. 3,680 tables

B. 57 tables

C. 58 tables

D. 452 tables

Answers

There are 58 tables!

Answer:

C. 58 tables

Step-by-step explanation:

If there are 460 people, and each table seats 8 people, then we divide 460 by 8, giving us 57.5 tables. We cannot have a half of a table, so the answer is 58 tables.

Which expression can be used to check the answer to 56+(-14)=n?

Answers

Answer: n = 42

Step-by-step explanation:

56 - 14 = 42

If + and - are right next to each other, the + cancels out.

Answer:

i agree with Thetides5 the answer is n=42

Step-by-step explanation:

plz give me a brainliest i been working so hard to get a brainliest but no one has give me me one so plz can u give me one??? And hope this helps :D

does 4 1/2 times 2 3/4 equal 11 11/48?

Answers

Answer:No

4 1/2 times 2 3/4 does not equals to 11 11/48.

It actually equals to 12 3/8

hope it helps

Good luck on your assignment

Answer:

No,it's wrong

The correct answer is

[tex] = 12 \frac{2}{8} \\ = 12 \frac{1}{4} \\ [/tex]

Step-by-step explanation:

[tex]4 \frac{1}{2} \times 2 \frac{3}{4} \\ \frac{9}{2} \times \frac{11}{4} \\ = \frac{99}{8} \\ = 12 \frac{2}{8} \\ = 12 \frac{1}{4} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

What steps should be taken to calculate the volume of the prism? Select three options.

24 ft

6 ft

oft

ft

Use the formula A = bh to find the area of the base.

Use the formula A= bh to find the area of the base.

Use the formula V=Bn to find the volume of the prism.

Answers

Answer:

the formula is V=BH

Step-by-step explanation:

if the prism is rectangular prism : it has three dimensions then V=length * height * width

V= L*H*W or V= base*H

or V=BH

in your question it does not show V=BH maybe it is misprint

The volume of the prism is V = Bh , where B is the base area and h is the height of the prism

What is the volume of a prism?

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

Identify the shape of the base of the prism: The base of the prism can be any polygon, such as a triangle, rectangle, or hexagon. It is important to identify the shape of the base because the formula for calculating the area of the base will depend on the shape.

Calculate the area of the base: Once the shape of the base has been identified, calculate the area of the base using the appropriate formula. For example, if the base is a rectangle, the area would be calculated as length x width.

Multiply the area of the base by the height of the prism: Once the area of the base has been calculated, multiply it by the height of the prism to get the volume. The height is the perpendicular distance between the two parallel bases of the prism.

Hence , by following these three steps, you can calculate the volume of a prism regardless of its shape, as long as you can identify the shape of the base and calculate its area.

To learn more about volume of prism click :

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Amelia rented a DVD and it was due to be returned on the 26 November she acctually returned it to the shop on the 12 December. The rental shop applies a fine of 9p for everyday the DVD is overdue

Answers

Answer:

144 p

Step-by-step explanation:

It was due to be returned on 26 November but she returned it on 12 December.

She was therefore with it for an extra 16 days.

The fine is 9p per day. Therefore, she will pay a fine of:

9 * 16 = 144 p

Answer:

Amelia rented a DVD and it was due to be returned on 26 November. She actually returned it to the shop on 12 December. The rental shop applies a fine of 9p for every day the DVD is overdue.

Work out the total fine paid by Amelia. Give your answer in £

Which phrase bost describes the translation from the graph y=(x+2)^2 to the graph of
y=x^2 + 3?

Answers

Answer:

C

Step-by-step explanation:

2 units right and 3 units up

The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number of pens, and let y represent the number of pencils. Part A Select the equation that describes the number of club pens and pencils that the glee club can buy. A. 0.15x + 0.75y = 90 B. 0.75x + 0.15y = 90 C. 0.90(x + y) = 90 Part B What is the greatest number of each type of writing tool that the club can buy? the greatest number of pens =? the greatest number of pencils =?

Answers

Answer:

Part A -  0.90(x + y) = 90 Part B - Pencils

Find x.
Explain how to find x using trigonometry
Explain how to find x using special right triangles.

Answers

Answer:

6

Step-by-step explanation:

[tex] \cos \: 60 \degree = \frac{3}{x} \\ \\ \frac{1}{2} = \frac{3}{x} \\ \\x = 2 \times 3 \\ \\ x = 6[/tex]

How many days are in 6 weeks not including weekends ?

Answers

Answer:

30 days

Step-by-step explanation:

There are 6 * 7 = 42 days in 6 weeks.

There are 2 * 6 = 12 weekends in 6 weeks.

42 - 12 = 30

Answer:

30 days

Step-by-step explanation:

The volume of a stack of identical circular drink coasters, each 1 centimeter thick, can be found using the function V(r)=8pi r^2 where r is the radius of a coaster. What does the constant 8 in the function represent?

Answers

Answer:

The constant 8 represents the height of the stack and hence the number of coasters.  (It represents the number of coasters.)

Step-by-step explanation:

The formula for finding the volume of a cylinder is

V = πr²h

If you we take π =3.14 and h = 1 cm, as given in the question, then we can rewrite the formula for the volume of one coaster as

V = 3.14 * r²

But the formula in this question is

V(r) = 8*3.14 * r² so this means that there are 8 coasters here hence the formula for one coaster being multiplied by 8.

Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 15 hours to do
the same job. Working together, how long will it take them to fill the order?

Answers

Answer:

≈ 7 hours

Step-by-step explanation:

Maria can do full job in 13 hours,

she can do 1/13 part of job in one hour

Felipe can do full job in 15 hours,

he can do 1/15 part of job in 1 hour

Together they can do:

1/13 + 1/15= 28/13*15= 28/195 of job in 1 hour

to complete full job they need:

1 ÷ 28/195= 195/28 ≈ 7 hours

Answer:

7 hr 10 min 12 seconds

Step-by-step explanation:

Maria, an experienced shipping clerk, can fill a certain order in 13 hours. Felipe, a new clerk, needs 16 hours to do the same job. Working together, how long will it take them to fill the order?

------------------------

Maria rate = 1/13 job/hr

-----

Felipe rate = 1/16 job/hr

----

Together rate = 1/x job/hr

-------

Equation:

rate + rate = Together rate

1/13 + 1/16 = 1/x

----

16x + 13x = 13*16

------

29x = 13*16

If the cosine value is 80*, the secant value to the hundredths degree is: 0.98 0.17 5.76

Answers

Answer:  5.76

Work Shown:

sec(80) = 1/cos(80) = 5.75877048314363 which rounds to 5.76

Make sure your calculator is in degree mode.

Identify the solution to the system of linear equations
Y=-x-2
Y=x-6

Answers

Answer:

(-4, 2)

Step-by-step explanation:

By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.

Find the value of x.

Answers

Answer:

x=1

Step-by-step explanation:

7 times 1 is 7 minus 1 is 6

2 times 1 is 2 minus 1 is 1

6 plus 1 is 7

you have to substitute the one

PLSS HELP SOON Is the sequence arithmetic? (Yes or no) If yes, please also give its common difference. 14) -2.8, -2.2, -1.6, -1.0

Answers

Answer:

The sequence is an arithmetic sequence.

Common difference = 0.6

Step-by-step explanation:

Given

-2.8, -2.2, -1.6, -1.0

Required

State if it's an arithmetic progression

Also state its common difference

To know if a sequence is arithmetic or not, we simply check for common difference

Common difference is calculated by subtracting a lower term with its immediate higher time;

In other words

[tex]Common difference = T_2 - T_1 = T_3 - T_2 = T_4 - T_3 = ......[/tex]

Where T represent Term and the number represent their positions;

So, from the given above

[tex]T_1 = -2.8\\T_2 = -2.2\\T_3 = -1.6\\T_4 = -1.0[/tex]

Calculating [tex]T_2 - T_1[/tex]

[tex]T2 - T1 = -2.2 - (-2.8)\\T2 - T1 = -2.2 + 2.8\\T2 - T1 = 0.6\\[/tex]

Calculating [tex]T_3 - T_2[/tex]

[tex]T_3 - T_2 = -1.6 - (-2.2)\\T_3 - T_2 = -1.6 + 2.2\\T_3 - T_2 = 0.6[/tex]

Calculating [tex]T_4 - T_3[/tex]

[tex]T_4 - T_3 = -1.0 - (-1.6)\\T_4 - T_3 = -1.0 + 1.6\\T_4 - T_3 = 0.6[/tex]

Notice that all the above workings gave the same result;

This shows that the sequence is an arithmetic sequence.

The result of each workings above is the common difference

Common difference = 0.6

Which strategy may enable you to earn an associate's degree while you are
still in high school?
O A. Taking dual enrollment courses
B. Taking AP courses
C. Enrolling in extracurricular activities
O D. Passing the ACT exam
Help ‼️

Answers

A. dual enrollment courses are college courses you take while in high school, to help earn credits and possibly earn an associates degree.
ap courses don’t give you credits and neither do extracurriculars or the act

What is the definition of the cosine ratio of an acute angle of a triangle?

opposide side / hypotenuse


adjacent side / opposite side


opposite side / adjacent side


adjacent side / hypotenuse

Answers

Answer:

I think the answer is the last one

adjacent side / hypotenuse

Given f(x)=-x+6 and g(x) =f(x+3), write an equation for function g.

Answers

Answer:

G(x)=-(x+3)+6

Step-by-step explanation:

f(x) means that whatevers in the parentheses is x. In g(x) x is equal to x+3

Think about the challenges facing the peace
process. Which of these problems threatened
Wilson's point?
Germany continued to attack American
shipping on the oceans.
The Allies were already making secret
alliances and plans.
The other heads of state refused to meet with
Wilson.

Answers

Answer:The allies were already...

Step-by-step explanation:

Answer:

the answer is B

Step-by-step explanation:

Solve for x. answers: A) 4 B) 6 C) 7 D) 5

Answers

Answer:

D) 5

Step-by-step explanation:

The smaller triangle is similar to the big triangle with the big triangle with a scale factor of 1.8.

5x × 1.8 = 45

Divide both sides by 1.8

5x = 25

Divide both sides by 5

x = 5

The answer is 5. Have a good day

Can someone please help me

Answers

This Is A Linear Graph Because Quadratic Graphs Are Curved

In the spinner below, what is the probability of landing
on 6?
A. 1/4
B. 1/8
C. 1/3
D. 1/6

Answers

Answer:

1/4

Step-by-step explanation:

There are 4 equal sized sections, and 2 sections that are twice the size of the others ( 2*2=4), for a total of 8 sections

The section with a 6 in it is a double size section so it counts as 2 sections

P(6) =number of sections with a 6/ total sections

       =2/8

       =1/4

Answer:

1/4

Step-by-step explanation:

A

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