Find the slope of (2 , -7 ) and ( -1 , 6 )


A. 4

B. -6

C. -1/6

D. 6

Answers

Answer 1

Answer:

-13/3

Step-by-step explanation:

y2 - y1 / x2 - x1

6 - (-7) / -1 - 2

13 / -3

= -13/3

Answer 2

Hello !

Answer:

[tex] \boxed{\sf None \: of \: the \: options \text{:} \: \: m =- \dfrac{13}{3}} [/tex]

Step-by-step explanation:

The slope m of a line passing through two points can be calculated using the following formula:

[tex] \sf m = \dfrac{rise}{run} = \dfrac{\Delta y}{\Delta x} = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \\ [/tex]

Let (x₁ , y₁) = (2 , -7)

Let (x₂ , y₂) = (-1 , 6)

Substitute these values into our formula:

[tex] \sf m =\dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{6 - (-7) }{-1 - 2 } = \dfrac{13}{-3}\\ \\ \implies \boxed{\sf m = -\dfrac{13}{3}} [/tex]

Have a nice day ;)


Related Questions

Which equations describes a line that has a y-intercept of 4 and a slope of 3?

Answers

Hello there!

If a line has a slope of 3 and a y-intercept of 4, its equation looks like this:

[tex]y=3x+4[/tex]

Hope this helps you! Mark Brainliest, please! :)

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

y = 3x + 4

Step-by-step explanation:

-343 as a power of (-7)

Answers

Answer:

[tex]-342^{-7}[/tex]

Step-by-step explanation:

If we represent 343 as a power of (-7)

we get [tex]-342^{-7}[/tex]

the equation will be this

= -347 × -347 × -347 × -347 × -347 × -347 × -347

What’s the perimeter of 4 feet long and 4 feet wide

Answers

4 times 4 so your awnser is 12

Hope that helps :)

Answer:

16

Step-by-step explanation:

4+4+4+4

Liam is a tyre fitter question

Answers

Answer:

a) 168

b) 3

Step-by-step explanation:

a) 56÷4=14 14×12=168

b) 56÷4=14 56-14=42 42÷14=3

If we say it takes 56 min to fit 4 tyres to one van

Let's caunt how many min for only one tyre and one van

It will take 56 min /4 = 14 min
So it will take only 14 min for 1 tyre in one van.

Let's solve a

A) 12 tyres to 3 van.
If we will say it will take 14 min for each tyre in one van
So 12 tyres will take 14 min * 12 = 168 min which is equal 2 hours and 48 min .

B) as we said it will take only 14 min for 1 tyre.
So 42/14 =3
So he will install 3 tyres in 42 min

yeah, uhm can someone help me with this?

Answers

Answer:

-24

Step-by-step explanation:

[tex]x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24[/tex]

Algebra 2 - Standard form of a quadratic function

1. A field goal kicker discussed his performance with this coach. Based on the coach’s data, the kicker usually kicks the ball so it reaches a maximum height of 50 yards
after it has traveled 25 yards down the field. What is the equation, in standard form, of the kick? Round your answer to the nearest hundredth


2. If the goal posts are 10 yards high, what is the minimum and maximum distance that his kick will make it over the goalpost? Round your answer to the nearest hundredth

Answers

Using quadratic function concepts, it is found that:

1) The equation is [tex]y = -0.08x^2 + 4x[/tex]

2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.

A quadratic equation has the following format:

[tex]y = ax^2 + bx + c[/tex]

In this problem:

The ball was kicked from the ground, thus [tex]y(0) = 0[/tex], which means that c = 0.

Item 1:

The vertex is: [tex]V(x_v,y_v)[/tex], in which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

In this problem, it is (25,50). Thus:

[tex]-\frac{b}{2a} = 25[/tex]

[tex]-b = 50a[/tex]

[tex]b = -50a[/tex]

[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]

[tex]-b^2 = 200a[/tex]

[tex]-(50a)^2 = 200a[/tex]

[tex]-2500a^2 - 200a = 0[/tex]

[tex]200a(-12.5a - 1) = 0[/tex]

Then, as [tex]a \neq 0[/tex]

[tex]a = -\frac{1}{12.5} = -0.08[/tex]

[tex]b = -50a = -50(-0.08) = 4[/tex]

Thus, the equation, in standard form, is:

[tex]y = -0.08x^2 + 4x[/tex]

Item 2:

The distances are the values of x for which:

[tex]y = 10[/tex]

Then

[tex]-0.08x^2 + 4x = 10[/tex]

[tex]-0.08x^2 + 4x - 10 = 0[/tex]

Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:

[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]

[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]

[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]  

The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.

A similar problem is given at https://brainly.com/question/24713268

I NEED HELPPP WHEN THESE!!! please can someone help

Answers

Answer:

a: 36

b: 10

c: 3.2

d: a

Step-by-step explanation:

Answer:

A = 36

B = 10

C = 3.2

D = a

Step-by-step explanation:

The square roots and power of 2s zero each other out.

plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

Its A

Step-by-step explanation:

took the test a while ago

PLS HELP WILL MARK BRAINLIEST!

Answers

More than means addition.

C is the correct option.

= (2x + 4) + 9 - 4y + 3x

= 2x + 4 + 9 - 4y + 3x

= 5x + 13 - 4y

= 5x - 4y + 13

Answer:

5x-4y+13 (c)

Step-by-step explanation:

9-(4y-3x)+(2x+4)

9-4y+3x+2x+4

3x+2x-4y+9+4

5x-4y+13

Three out of nine cats weigh less than 15 pounds.
What is the decimal equivalent for the number of cats weighing less than 15 pounds?

Answers

Answer:

0.333...

Step-by-step explanation:

3 out of 9 can be written as 3/9 which reduces to 1/3.

1/3 = 0.333...

Write a function to represent the point (x, y) rotated 90° counterclockwise about the origin.​

Answers

Answer:

see explanation

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x )

The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

What are coordinates?

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).

R(x, y )= (- y, x )

Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).

Learn more about Coordinates:

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ASAP PLS!!

-GIVING OUT BRAINLIEST

Answers

Answer:

The answer is (C)

Step-by-step explanation:

Simplify
2^4 x 2^3/
2^5 x 2^4
leaving your answer in index form.

Answers

Answer:

2^-2

Step-by-step explanation:

When multiplying indices or exponents with the same base number, you can add the powers:

2^4 x 2³ = 2^7 (4 + 3 = 7)

2^5 x 2^4 = 2^9 (5 + 4 = 9)

When dividing indices or exponents with the same base number, you can subtract the powers:

2^7 ÷ 2^9 = 2^-2 (7 - 9 = -2)

Help plz I need help plz

Answers

Step-by-step explanation:

the third option is the correct one

The value of
[tex]2 + \frac{1}{2 + \frac{1}{2 + \frac{1}{2 + ... \infin} } } \: is \\ [/tex]
Given answer with step by step explanation.​

Answers

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to find out the value of the fraction.

Let us assume that:

[tex] \sf \longmapsto x =2 + \dfrac{1}{2 + \dfrac{1}{2 + \dfrac{1}{2 + ... \infty} } } [/tex]

We can also write it as:

[tex] \sf \longmapsto x =2 + \dfrac{1}{x} [/tex]

[tex] \sf \longmapsto x =\dfrac{2x + 1}{x} [/tex]

[tex] \sf \longmapsto {x}^{2} =2x + 1[/tex]

[tex] \sf \longmapsto {x}^{2} - 2x - 1 = 0[/tex]

Comparing the given equation with ax² + bx + c = 0, we get:

[tex] \sf \longmapsto\begin{cases} \sf a =1 \\ \sf b = - 2 \\ \sf c = - 1 \end{cases}[/tex]

By quadratic formula:

[tex] \sf \longmapsto x = \dfrac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{ {( - 2)}^{2} - 4(1)( - 1)} }{2 \times 1} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{4 + 4} }{2 \times 1} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm \sqrt{8} }{2} [/tex]

[tex] \sf \longmapsto x = \dfrac{2 \pm2 \sqrt{2} }{2} [/tex]

[tex] \sf \longmapsto x = 1 \pm\sqrt{2}[/tex]

[tex] \sf \longmapsto x = \begin{cases} \sf 1 + \sqrt{2} \\ \sf 1 - \sqrt{2} \end{cases}[/tex]

But "x" cannot be negative. Therefore:

[tex] \sf :\implies x = 1 + \sqrt{2}[/tex]

So, the value of the fraction is 1 + √2.

help please I need help

Answers

Answer:

a is 16 yards hope this helps

Step-by-step explanation:

Anyone know these answers for math??

Answers

Answer:

7) No

8) Yes

Step-by-step explanation:

7) 15 + 2y = -12 - 4y when y = -0.5

15 + (2*-0.5) = -12 - (4*-0.5)

15 + -1 = -12 - (-2)

15 - 1 = -12 + 2

14 = -10

The numbers are different on both sides so -0.5 is not a solution

8) 5 - 2( 3x + 5 ) = 3 - 10x when x = 2

5 - 2( (3*2) + 5 ) = 3 - (10*2)

5 - 2( 6 + 5 ) = 3 - 20

5 - 2*11 = 3 - 20

5 - 22 = 3 - 20

-17 = -17

The numbers are similar on both sides so 2 is a solution

Please answer ASAP
The price of a dozen exercise book is 72 dollars find the cost of 18 exercise books

Answers

Answer:

$108

Step-by-step explanation:

Dozen = 12

Use the ratio:

12 ⇒ 7218 ⇒ x

Find x:

x = 72*18/12 = 108

Jennifer has 84.5 yards of fabric to make. She makes 6 identical curtains and has 19.7 yards of fabric remaining. How many FEET of fabric does Jennifer use per curtain?

Answers

Answer: 118.2

Step-by-step explanation:

Complete the following statement.

The ratio of adults to children at a family reunion is 16 to 10. If there are 91 people at the family reunion, there are
adults and
children.

Answers

Answer:

56 adults and 35 children

Step-by-step explanation:

 

sum the parts of the ratio 16 + 10 = 26

Divide 91 by 26 to find one part of the ratio

91/26 = 3.5 ← 1 part of the ratio

16 parts = 16 × 3.5 = 56 ← number of adults

10 parts = 10 × 3.5 = 35 ← number of children

Therefore it 56 adults and 35 children.

To Check the Answer:  56 + 35 = 91

Each year the local country club sponsors a tennis tournament. Plays starts with 128 participants. During each round, half of the players are eliminated. How many players remain after five rounds?

Answers

Answer:

128 divided by 2 for 5 times is your answer enjoy my.kiddo

The diagram shows triangle QRS with side SR on ray ST.


Part A. What is the measure of ∠QRS?

Part B. What is the measure of ∠Q?\
PLEASE HELP WITH ALL SERIOUSNESS AND A PROPER EXPLANATION

Enter the correct answers in the boxes.

Answers

The measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.

What is the triangle?

The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

As we know in the triangle the sum of the two interior angles is equal to the exterior angle.

Angle RQS + Angle RSQ = Angle TRQ

4y + y = 145

5y = 145

y = 29

The measure of angle QRS = 180 - Angle RQS - Angle RSQ

= 180 - 4(29) - 29

Angle QRS = 35 degree

The measure of angle Q = 4y = 4(29) = 116 degree

Thus, the measure of angle QRS is 35 degrees and the measure of angle Q is 116 degrees.

Learn more about the triangle here:

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FIND THE FACTORS OF THE FOLLOWING POLYNOMIAL 3y²-2y-1

Answers

Answer:

y

[tex] y2 - 2y - 3[/tex]

[tex](y - 1)(y + 3) [/tex]

[tex](3y - 1)(3y + 3)[/tex]

Step-by-step explanation:

you multiple the 3 with the 1

then factor

then divide by 3 again but the denominator goes in front of the y.

A game spinner has 8 sections, 3 red, 1 blue, 2 yellow, and 2 green. What is the probability that you will spin a yellow?

Answers

Answer:

1/4 Percent

Step-by-step explanation:

add all them up and youll get 8 the see the yellow takes up 1/4 percent of the numbers.

Pablo owes his sister $9. His sister Nina owes their mother three times that amount. What number on the number line represents Nina’s debt?

Answers

Answer:

Step-by-step explanation:

Nina's debt = 3 * 9 = $ 27

Debt is represented using negative sign.This represents (-27) on the number line.

Answer:(-27)

Step-by-step explanation:

i got it right on edge 2022

what is this frfr??????????????????

Answers

Answer:

7

Step-by-step explanation:

7x-6=43

    +6  +6

7x=49

/7   /7

x=7

Answer: x=7

is the answer

Wanda purchased some gifts for her kids and husband online. She bought a doll for $14.59, 2 games for $10.95 each, and 2 movies for $9.99 each. The web site had a promotional offer of $10 off and no shipping fees for any purchase totaling at least $40. Wanda was charged 7.25% tax on her total purchase. How much did Wanda pay for her online purchase?

Answers

Answer:

50.37

Step-by-step explanation:

How far did the cargo ship travel in one hour?

a
The ship travels 50 nautical miles in 1 hour.
b
The ship travels 25 nautical miles in 1 hour.
c
The ship travels 75 nautical miles in 1 hour.
d
The ship travels 100 nautical miles in 1 hour.

Answers

Answer:

needs a image not much information working with

can someone please help me with this? i don’t understand it at all

Answers

Answer: I’m pretty sure they are similar because they have the same interior degree.

Step-by-step explanation:

can someone please help me with this question including a full explnation? ​

Answers

Given :-

Diameter of table = 2.3m Length of cloth to be hanged = 10cm .

To find :-

The area of tablecloth required .

Solution :-

According to Question ,

r = 2.3/2 + 10/100 m r = 1.15 + 0.1m r = 1.25m

As we know that ,

Area = πr²Area = 3.14 * 1.25 * 1.25 m² Area = 4.90 5m²
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