Find the slope of the line passing through the points (-2, 1) and (3,-7)

Answers

Answer 1
(-2,1)(3,-7)

[tex]\\ \rm\Rrightarrow Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\Rrightarrow Slope=\dfrac{-7-1}{3+2}[/tex]

[tex]\\ \rm\Rrightarrow Slope=\dfrac{-8}{5}[/tex]

Answer 2
Answer:

- 8/5

Step-by-step explanation:

m = slope

m = change in y/change in x

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

m = -7 - 1/3 - -2

m = -8/5

m = - 8/5

The slope is - 8/5

Related Questions

you are solving an equation with a variable on each side. does the side on which you choose to isolate the variable affect the solution? why might you choose one side over the other?

Answers

Answer:

Does the side on which you choose to isolate the variable affect the solution?

No, because at the end you get an equation with a variable on one side only.

Why might you choose one side over the other?

To simplify or minimize the number of operations you need. Moving part of the terms from one side to another adds at least one extra operation and it may also bring some complications.


-4|8-5n|=19
-4|8-5n|=-19
I need the work shown for me pls so if anyone can help​

Answers

Step-by-step explanation:

-4|8-5n|=19

-4/-4|8-5n|=19/-4

|8-5n|=4.75

5n=4.75-8

5n=-3.25

5n/5=-3.25/5

n=-0.65

if it is wrong sory

When 1480 is divided into 12 equal parts, the remainder is 4. What is a correct way to write the quotient?


123.4
1234 over 12
123 + 4
1234 over 1480

Answers

Answer:

123.4

Step-by-step explanation:

Determine the gradient of line AC​

Answers

Answer:

This formula can also be written as \(y - {y}_{1} = m\left(x - {x}_{1}\right)\). The standard form of the straight line equation is \(y = mx + c\) where \(m\) is the gradient and \(c\) is the \(y\)-intercept.

Determine whether the statement is true or false.
Every real number is an irrational number.

Answers

Answer:

Firstly irrational number are any real number that cannot be expressed as the quotient of two integers . For example there is no number among integers and fractions that equals the square root of 2 .

Hope I helped

a van is traveling 64 7/8 miles per hour. an airplane is traveling 5 6/7 times faster. about how fast is the airplane traveling? could u please help?

Answers

Answer:

it will be 736 speed faster than

You have 3 fair 6-sided dice. You repeatedly roll all 3 at once, until all 3 of them show thesame number. What is the probability that you have to tryat leasttwice

Answers

Answer:

35/36  or about 0.972

Step-by-step explanation:

The probability of rolling the same number

first die 6/6

second die 1/6

third die 1/6

1(1/6)(1/6) = 1/36

so there is a 35/36 chance that you will not get it done on the first roll and need to attempt at least one more time.

17. Given f(x) = 3x - 1, find f(2)

Answers

Answer:

5

Step-by-step explanation:

you have to replace 2 were there's x in the function

f(2)=3(2)-1

=6-1

=5

I hope this helps

Simplify (6+5x)+(7x+3)

Answers

Answer: 12x + 9

Step-by-step explanation:

Given

(6 + 5x) + (7x + 3)

Put like terms together

=5x + 7x + 6 + 3

Combine like terms

=[tex]\boxed {12x+9}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Simplify each expression -(20+d)

Answers

Answer:

-20 -d

Step-by-step explanation:

-(20+d)

Distribute he minus sign

-20 -d

What can you do if a decimal product has final zeros to the right of the decimal point

Answers

Answer:

place the decimal point in the product so that the number of decimal places in product is the sum of decilal places in the factors. keep all zeros in the product when you place the decimal point. you can drop the zeros on the right once the decimal point has been placed in the product.

perimeter is 21cm Length is 7.5cm and the Breadth is not given​

Answers

Answer:

The answer is 3cm

Please give branliest!

Step-by-step explanation:

(S1×2)+(S2×2)=21cm

(S1+S2)×2=21cm

S1+S2=21÷2

7.5+S2=10.5

S2=10.5-7.5

S2=3

Breadth=3cm

Step-by-step explanation:

p=2(l+b)

21=2(7.5+b)

21=15+2b

21-15=2b

6=2b

6/2=b

b=3

the raidan measure of an angle is equal to the ratio of the legnth of its intercepted arc to the radius
A.True
B.False

Answers

Answer:

True.

Step-by-step explanation:

As long as the vertex of the angle is at the center of curvature of the intercepted arc.

Find the value of x

Answers

Answer:

[tex]sum \: of \: exterir \: anges \: for \: a \: polygon = 360 \\ 5x - 5 + x + 4x - 5 + 4x + 20 = 360 \\ x \: terms \: togather \\ 5x + x + 4x + 4x - 5 - 5 + 20 = 360 \\ 14x + 10 = 360 \\ 14x = 360 - 10 \\ 14x = 350 \\ x = \frac{350}{14} = 25 \\ x = 25 \\ thank \: you[/tex]

Answer:

SUM OF EXTERIOR ANGLES=360

Step-by-step explanation:

5x-5+4x-5+4x+20+x=360

14x+10=360

14x=350

x=350/14

x=25

what two numbers when multiplied makes 6 but when added equals -10

Answers

There aren’t any with this description

A rectangles length is 6 units greater than its width. Write an equation expressing the rectangles area, A, as a function of W

Answers

Answer:

A = W² + 6W

Step-by-step explanation:

The width is W.

The length is 6 units greater than the width, so the length is W + 6.

The area is the product of the length and width.

A = (W + 6)W

A = W² + 6W

If 1 pounds = 4 cups then 2 cups = ?
PLEASE HELP I AM STUCK

Answers

Answer:

1/2 pound

Step-by-step explanation:

Answer:

2 cups is equal to 0.5 pounds.

Step-by-step explanation:

4 divided by 2 is 2 and 1 pound divided by 2 is 0.5.

the number of seats in a movie theater

Answers

350 to 600 or even more seats. The larger auditoriums in a modern multiplex theater in a metropolitan area typically have 150 to 250

35 POINTS, i dont understand this question!!!! can someone give me a brief yet useful explanation??

Answers

The answer:
surveying a random sample of 25 students attending a school football game

Don't forget put heart ♥️

- (x^2 - 3x + 2) - x(x - 4)

Answers

Answer:

[tex] - (x^{2} - 3x + 2) - x(x - 4) \\ = ( - x^{2} + 3x - 2) + ( - x ^{2} + 4x) \\ = - 2 {x}^{2} + 7x - 2[/tex]

I hope I helped you^_^

Answer:

[tex] = - 2 {x}^{2} + 7x - 2[/tex]

Step-by-step explanation:

[tex] - ( {x}^{2} - 3x + 2) - x(x - 4)[/tex]

[tex] - {x}^{2} + 3x - 2 - x(x - 4)[/tex]

[tex] - {x}^{2} + 3x - 2 - {x}^{2} + 4x[/tex]

[tex] - {2x}^{2} + 3x - 2 + 4x[/tex]

[tex] \boxed{\green{ = - 2 {x}^{2} + 7x - 2}}[/tex]

[tex]stan \: \: Dreamcatcher \\ and \: \: stream \: \: BEcause \\answered \: \: by \: \: a \: \: fellow \: \: InSomnia[/tex]

If 3^x=243^4, then what is x?​

Answers

Answer:

x=20

Step-by-step explanation:

3^x=243^4

3^x=(3^5)^4

3^x =3^20

x=20

Solve the following expression when
k= 12
(4k + 2) = 10

Answers

Answer:

5

Step-by-step explanation:

(4k + 2) ÷ 10

(4(12) + 2) ÷ 10

(48 + 2) ÷ 10

(50) ÷ 10

= 5

Hope this helps!! <3

The solution to the expression (4k + 2 ) ÷ 10 when k = 12 is 5

From the given expression, we are to solve for (4k + 2) ÷ 10

When

k = 12

What we are going to do is that we will replace k with 12 wherever we see (k) in the expression given

= (4k + 2 ) ÷ 10

= (4(12) + 2 ) ÷ 10

= (48 + 2) ÷ 10

= (50) ÷ 10

= 5

Learn more about mathematical expressions here:

https://brainly.com/question/20596193?referrer=searchResults

solve this equation by completing the square p^2 + 16p - 17 = 0

Answers

Answer: p=1

Step-by-step explanation:

[tex]p^{2}+16p-17=0\\p^{2}+16p=17\\1^{2}+16(1)=17\\1+16=17\\p=1[/tex]

(p-1)(p+16)

Also, here's the cross method in completing the square that I tried in the file attachment. I haven't done this in a while, so this may not be neat.

13. There are about 4 • 10% known species of beetles.
The number of known species of caddis flies is
about 104. How many times more species of beetles
are there than caddis flies?

Answers

Answer:

40

Step-by-step explanation:

James is selling a bike on an internet auction website. he pays £1.45 insertion fee, £2.85 for an enhanced advert and a selling fee of £1.95 when the bike is sold. what are his total selling fees to the nearest pound (£)

Answers

Hello :D

£1.45 + £2.85 = £4.30

£4.30 + £1.95 = £6.25

£6.25 to the nearest pound = £6.00

Answer: Selling fees = £6 (rounded to the nearest pound)

Step-by-step explanation:

Given information

Insertion fee = £1.45

Enhanced advert = £2.85

Selling fee = £1.95

Given expression deducted from the given information

Total = insertion + enhanced advert + selling

Substitute values into the expression

Total = (1.45) + (2.85) + (1.95)

Simplify by addition

Total = 4.3 + (1.95)

Total = 6.25

[tex]\boxed{Total=6}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

A.It has point symmetry.


B.It has rotational symmetry with an angle of rotation of 120°.


C.It has reflectional symmetry with eight lines of symmetry.


D.It has no reflectional symmetry.

Answers

Answer:

c. It has a reflectional symmetry with 5 lines of symmetry

Step-by-step explanation:

Answer:

Step-by-step explanation:

(B). It has rotational symmetry with an angle of rotation of 120°.

The area of a rectangle is represented by 9× + 15 and the length of the rectangle is 3. What is the width of the rectangle​

Answers

Answer:

Step-by-step explanation:

l*b = 9x+15

3*b=9x+15

b=9x+15/3

b=3x+5 ans

What is x and the unknown angle? May I also get a brief explanation of how to do it?​

Answers

Answer:

149+(13x+5)=180

154+13x=180

13x=26

x=2

Answer:

see explanation

Step-by-step explanation:

The 2 angles are adjacent on a straight line and sum to 180° , then

149 + 13x + 5 = 180 , that is

154 + 13x = 180 ( subtract 154 from both sides )

13x = 26 ( divide both sides by 13 )

x = 2

Then

unknown angle = 13x + 5 = 13(2) + 5 = 26 + 5 = 31°

Points D and E are midpoints of the sides of triangle ABC. The perimeter of the triangle is 48 units. Triangle A B C is shown. Point D is the midpoint of side A B and point E is the midpoint of side B C. The lengths of A D and D B are 3 t, the lengths of B E and E C are 4 t, and the length of A C is 7 t + 6. What is the value of t

Answers

9514 1404 393

Answer:

  t = 2 units

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  AD +DB +BE +EC +AC = 48 = 3t +3t +4t +4t +7t +6

  42 = 21t . . . . . . subtract 6 and simplify

  42/21 = t = 2 . . . . . . divide by the coefficient of t

If a < b, what additional assumptions on a and b will guarantee that a^2 < b^2. Prove your assumption.

Answers

Answer:

An additional assumption is that a is not negative.

Step-by-step explanation:

If a could be negative, then:

(-7)^2 < 3^2  would be false because

49 is not greater than 9

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