Find the gradient of the line passing through the points (4a,-a) and (6a,5a)

Answers

Answer 1

Answer:

The gradient of the line passing through the points (4·a, -a) and (6·a, 5·a) is 3

Step-by-step explanation:

The gradient of a (straight) line given the 'x' and 'y' coordinates of two points on the line, (x₁, y₁), and (x₂, y₂) can be found using the following formula;

[tex]The \ gradient \ of \ a \ line, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The coordinates of two points on the given line are;

(4·a, -a), and (6·a, 5·a)

Therefore, we get;

[tex]The \ gradient \ of \ the \ line =\dfrac{5\cdot a-(-a)}{6 \cdot a-4 \cdot a} = \dfrac{6\cdot a}{2 \cdot a} = 3[/tex]

The gradient of the line = 3.


Related Questions

0.75(4x + 2) = 5 - (x + 1.5)
X =

Answers

Answer:

The answer is x=1/2 or x=0.5

Answer:

x = 0.5

Step-by-step explanation:

0.75(4x + 2) = 5 - (x + 1.5)

3x + 1.5 = 5 - x - 1.5

3x + 1.5 = -x + 3.5

3x + x = 3.5 - 1.5

4x = 2

x = 0.5

A student can type 2 3 of a page in 1 5 hour. How many pages can the student type in an hour?
Need this asap

Answers

Answer:

2/15

Step-by-step explanation:

find a common denominator:

3, 6, 9, 12, 15

5, 10, 15

the common denominator is 15.

add by how many times you added 3 and 5.

3+4=7/15

do the same with 5 and subtract the answers:

7/15-5/15= 2/15

Answer:

2/15

Step-by-step explanation:

help please thanks to whoever answer these will get brainliest and DONT SEND A LINK OR STEAL MY POINTS IF YOU DO I WILL REPORT YOU!!!

Answers

1) A = 1/2 (6+10)(x)

Answer:

All is in the picture

9.59 x (2^6 ) + 7x8i need helpp on this one pleaseeeeee

Answers

Answer:

simplify:  9.59x(2^6)+7x^8

613.76x+7x8   =7x^8+613.76x

factor: 7x^8+613.76x

x(7x^7+613.76)  =x(7x^7+613.76)

brainliest please?

54:40
Maya is finding the area of the shaded triangle below.

A triangle has a base of 73 meters and a height of 10 meters.

If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?
22 m
25 m
52 m
73 m

Answers

Answer:

d) 73 m

Step-by-step explanation:

From the Question, we are told that:

Maya is finding the area of the shaded triangle below.

A triangle has a base of 73 meters and a height of 10 meters.

If she considers 10 m to be the height of the triangle, what should she use as the triangle’s base?

The area of a triangle = 1/2 × Base × Height

We are already told the base of the triangle from the question and this is 73 m

Option D, 73 m is the correct answer

I don't know this help me​

Answers

Answer:

The answer is 8600

Step-by-step explanation:

because when you subtract 5160 by 4300 you get 860 so just add that from 5160 until you get to the 12th year because every year is 860. brainliest pls

Fill in the table using this function rule.
y = 2x + 5

Answers

Just put in the x values for example
First one x = 1

y = 2(1) + 5
y= 7

I’ll tell u all the answers here in order:
7
9
15
19

Answer:

The answer is

[ X ][  Y ]

[ 1  ][   7 ]

[ 2 ][   9 ]

[ 5 ][  15 ]

[ 7  ][  19 ]

Brainiest please and lot of likes:)

Shawn wrote down the activities for his day on Saturday. In which situation will his activity result in a final value of zero? *
A. Shawn places four quarters in a jar of quarters which contains four quarters.
B. In the morning, Shawn added six hard candies to a jar which contained four hard candies. By the end of the day he ate ten candies from this jar.
C. Shawn starts out on the ground and then climbs ten feet on a ladder.
D. Shawn travels east ten feet and then travels south ten feet.

NO SCAM LINKS

Answers

Answer:

B

Step-by-step explanation:

B. In the morning, Shawn added six hard candies to a jar which contained four hard candies.

So he had 10 candies.

By the end of the day he ate ten candies from this jar.

Now he had 10-10 = 0, zero candies.

Answer:

B

Step-by-step explanation:

A 4+4=8

B 10-10=0

C 10'

D 10'E 10'S

pt.2 PLS HELP I NEED HELP DUE SOOONNNNNNNN AND BRAINLIST

Answers

Step-by-step explanation:

15) 13x = 130 x = 10

16) 16x+2+43x+1 = 180 59 x = 177 x = 3

17) 29x+3+31x-3 = 180 60x = 180 x = 3

18) 16x -5 + -5 + 22x = 180 38x = 190 x = 5

15.
Suppose that y varies inversely with x. Write an equation for the inverse variation.
y = 2 when x = 5

A. y = 3x

B. y = [tex]\frac{10}{x}[/tex]

C. x = [tex]\frac{y}{3}[/tex]

D. y = [tex]\frac{x}{10}[/tex]

Answers

Answer:

y=10/x

Step-by-step explanation:

Y=k/x

Y=2 & x=5 implies k=10

Hence, y=10/x is the desired equation of the hyperbola

...................................................................................................................................................

Answer:

The equation is  and  y = 2 , x = 5 the value of k is 10 .

Step-by-step explanation:

As given

y varies inversely with x.

Where k is the constant of proportionality .

Thus the equation for the  inverse variation .

As given

y = 2 when x = 5

Put all the values in the equation  .

k = 2 × 5

k = 10

Thus the constant of variation is 10 .

Therefore the equation is  and when y = 2 , x = 5 value of k is 10 .

...............................................................................................................................................

y

=

10

x

Explanation:

y

varies inversely with  

x

y

1

x

y

=

k

x

y

=

2

,

x

=

5

gives

2

=

k

5

k

=

2

×

5

=

10

y

=

10

x

Answer link

...............................................................................................................................................

Y varies inversely with x means, y=k\x where x is the constant of variation saying that 2=k\5 and gives k=10 y=10\x would be the equation for  any x

...............................................................................................................................................

The answer is y=10/x

Please help , will mark brainliest.

Answers

Answer: 30 ft

hope this helped :)

can you help me pleaseeeeee​

Answers

a. 11

b. 48

c. 27

Hope this helped \( ̄︶ ̄*\))

11 48 27 are the answers

Which factors of -24 will give you a sum of -5?​

Answers

A negative number always factors as a positive times a negative.

I would reccomend doing it systematically, like I have done below.

When ding it this way, you will see that -8 and +3 satisfy both requirements.

There are 10 coins with total value of $2.50. There are quarters, dimes or nickels. There are as many dimes as nickels. How many coins of each type are there?
Help BRAINLEST to best answer QUICK HELP

Answers

40 quarters, 100 dimes total for now is 20$ and if u add 250 nickels, it will be 25$

Hope this helps!

Guys please help I’m having so much trouble

Answers

Answer:

Hello! Your answer would be B)B

Step-by-step explanation:

Hope I helped! Brainiest plz!♥ Have a nice morning! Hope you make a 100%! -Amelia

I need Help with this question. The screenshot is attached below. Help PLS

Answers

Answer:

6

Step-by-step explanation:

Your salary is $105,000 per year
Each month, 16% of your income is deducted for taxes?

7. What is your after-tax monthly income?

Answers

9514 1404 393

Answer:

  $7350

Step-by-step explanation:

The tax deduction multiplies your income by 1 -16% = 84%. The expression of it as a monthly amount multiplies it by 1/12. So, your monthly take-home income is ...

  $105,000(0.84)(1/12) = $105,000(0.07) = $7,350

Your after-tax monthly income is $7350.

What are the solutions to the equation below

Answers

Answer:

x = -1.434, x = -0.232

Step-by-step explanation:

pleaseeee help i don't understand how to do this

Answers

Answer:

[tex]x=\frac{5}{k}[/tex]

Step-by-step explanation:

Given expression is,

[tex]\text{log}_{3^k}243=x[/tex]

By using the law of logarithm,

[tex](3^k)^x=243[/tex]

[tex]3^{kx}=243[/tex]

[tex]3^{kx}=3^5[/tex]

By comparing exponents on both the sides of the equation,

[tex]kx=5[/tex]

[tex]x=\frac{5}{k}[/tex]

Therefore, [tex]x=\frac{5}{k}[/tex] will be the answer.

Triangle PQR and triangle QRS have vertices P(-9,7) , Q(4,7) , R(4,-3), and S(-10,3) What is the area in square units of the quadrilateral PQSR which is formed by two trangles?

Answers

Answer:

3.7

Step-by-step explanation:

.

The area of the base of this cylinder is 25picm^2 and the height of the cylinder is 8cm. Find the surface area of the cylinder.

Answers

Answer:

408.2cm

Step-by-step explanation:

Given data

Area of base= 25πcm^2

Height= 8cm

Let us find the radius of the cylinder

Area= πr^2

25π= πr^2

25= r^2

r= √25

r= 5cm

Let us now find the surface area

SA=2πrh+2πr^2

Substitute

SA= 2*3.14*5*8+ 2*3.14*5^2

SA= 251.2+ 157

SA= 408.2cm

Hence the surface area is  408.2cm

Which could be the value of the third side of a triangle with sides 3 and 4? A. 3 B. 7 C. 12 D. 20. Would it be B or C

Answers

C! Hope that helps! (:

Dr. Maria Espinoza, a biologist, is carrying out research in the tropical rain forest of Brazil. We would expect Dr. Espinoza to be

Answers

collecting data on the biodiversity of the region for a television program

Answer: SirBreadCrumbs5621 the person that answered is correct it’s C, I don’t know how to reply

Step-by-step explanation:

An apple has a mass of 0.25 kg. The apple is 3m high. What is the potential energy of the apple?

Answers

Answer:

Potential energy= mass x gravity x height

0.25x9.8x3=7.35 N

hope that answers your question

Step-by-step explanation:

(-8)^5 in expanded form

Answers

Answer:

Step-by-step explanation:

PLEASE HELP ASAP!! RIGHT ANSWER WILL GET BRAINLIEST
What is the solution to the system of equations?
2x – 3y = -1
y – x = -1
(a) Use the substitution method to find the solution.
(b) What do you know about the two lines in this system of equations (Hint: Do they intersect? Are they
parallel? Are they the same line?)

Answers

Siplified 1.6y

-3

y=x + 5

A ( To check a system of equations by substitution, you plug your values for x and y into the original equations. If both simplified expressions are true then your answer is correct.

For example: To check if  

(

2

,

3

)

was the correct solution for the system of equation:  

y

=

x

5

,

substitute 2 for x and -3 for y into each equation

They intersect and the lines are the same as parallel. They share the same line as going x to y.

sorry if its a little bit scrambled (i did this last year)

thanks if you give branliest as well

Toby has already spent 22 minutes on the phone, and he expects to spend 2 more minutes with every phone call he routes. In all, how many phone calls does Toby have to route to spend a total of 42 minutes on the phone?


_____ phone calls

Answers

10.
42-22 is 20
20 minutes divided by 2 minutes is 10

Find the equation of the linear function represented by the table below in slope-
intercept form.
X
у
-3
10
1
1
-10
5
30
9
-50

Answers

Answer:

y= -5x-5

Step-by-step explanation:

because m=y2-y1/x2-x1 and then you plug in one of the point to find the y intercept or b and the answer you should get is -5 for be so it ends up being y= -5x-5

Write two numbers that multiply to the value on top and add to the value on bottom.
42-top
13-bottom

Answers

Answer:

7 x 6 = 42

7 + 6 = 13

Step-by-step explanation:

Math

Please help, I will give brainliest to whoever helps!

Answers

Answer:

I'm sorry i cant see the photo its very wierd

Step-by-step explanation:

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