Find the distance of the line, then find the slope of the line using the following coordinates (-7,2) and (-4,6)?

Answers

Answer 1

Answer:

Distance = 5 units

Slope = [tex]\displaystyle\frac{4}{3}[/tex]

Step-by-step explanation:

Hi there!

1) Finding the distance of the line

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two endpoints of a line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (-7,2) and (-4,6):

[tex]d=\sqrt{(-4-(-7))^2+(6-2)^2}\\d=\sqrt{(-4+7)^2+(6-2)^2}\\d=\sqrt{(3)^2+(4)^2}\\d=\sqrt{9+16}\\d=\sqrt{25}\\d=5[/tex]

Therefore, the length of the line/distance of the line is 5 units.

2) Finding the slope of the line

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (-7,2) and (-4,6):

[tex]m=\displaystyle\frac{6-2}{-4-(-7)}\\\\m=\displaystyle\frac{6-2}{-4+7}\\\\m=\displaystyle\frac{4}{3}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{4}{3}[/tex].

I hope this helps!


Related Questions

Express each percent as a fraction or mixed number in simplest form.
120%
++pls explain how to do this if you know​

Answers

Answer:

120/100

Step-by-step explanation:

120÷20= 6

100÷20=5

6/5 = 1⅕

The total bill (parts and labor) for the repair of a car was $458. The cost of parts was $339. The cost of labor was $34 per hour. How many hours of labor did it take to fix the car?​

Answers

Answer:

3.5 Hours MARK ME AS BRAINLIEST PLEASE

Step-by-step explanation:

Take 458, and subtract 339 from it. Then, divide that by 34.

Answer:

3 and a half hours

Step-by-step explanation:

Subtract 399 from both sides

119 = 34h

Divide both sides by 34

3.5 = h

6x + 3y - 9 when
x = 6, y = 9

Answers

Answer:

63

Step-by-step explanation:

6x + 3y - 9

x = 6

y = 9

6(6) + 3(9)

36 + 27

= 63

What numbers are 3 units from -2 on a number line?

A number line ranging from negative 10 to positive 10

Select from the drop-down menus to correctly complete the statements.

______is 3 units left from ​-2 ​ on a number line.

______- is 3 units right from ​-2​ on a number line.

The answers are
-1
-5
1
5
please hurry

Answers

Answer:

___-5___is 3 units left from -2 on a number line.

___1___- is 3 units right from -2 on a number line

i need help with this question

Answers

Answer:

-14.50, -8/4, 4.2, 15/2, 12.072, 12.25

How would I graph y = 5/3 x -9

Answers

-9 would be the y intercept and 5/3 is the slope/gradient.

The y intercept shows there should be a point at (0, -9) on the y axis.

From that point you can use the slope and go up 5 and over to the right 3 before plotting the next point. You can keep doing that in that direction and you can also go in the reverse by going down 5 and to the left 3 if necessary in the graph.

In the end it would look like this.

(2x+y)^2- (y-2x)^2
pleaseee help me

Answers

Assuming you are asked to simplify the expression?

= (4x^2 + 4xy + y^2) - (y^2 - 4xy + 4x^2)
= 4x^2 - 4x^2 + 4xy + 4xy + y^2 - y^2
= 8xy

How many times greater is the value of the 7 in 70,048 than the value of 7 in 17,992?

Answers

Answer:

10 times

Step-by-step explanation:

The value of the 7 in 70,048 is 70,000

The value of the 7 in 17,992 is 7,000.

If you divide 70,000 by 7,000, you get 10.

The first 7 is 10 times greater than the 2nd.

I hope this helps!

pls ❤ and mark brainliest pls!

Answer:10 times

Step-by-step explanation:

The value of 7 in 70,048 stands for 7 Ten thousand  which is equal to 70,000

Also 7 in 17,992 stands for 7 thousand which is equal to  7,000

So we divide to know how much the lesser value is in the grater vale giving us

70,000/7,000 =10

Therefore, the value of 7 in 70,048 is 10 times  than the value of 7 in 17,992

See similar answer here: https://brainly.com/question/13200619

Which names are other ways to name _1? Select each correct answer.

y
pfy
pyf
p
yfp
ypf
f​

Answers

Answer:

your answer is F

I hope it's helps you

HELP WITH B, C, & D PLS: g(x) = 2x2 + 5x + 1, find: -3g(3)

Answers

B
Answer
24f+7g

Explanation

Multiply each number 4 time 6 equal 24 and 7 time one equal 7…

Please hurry i need a asnwer

Answers

Answer:

[tex] \frac{5i}{3 + 2i} \times \frac{3 - 2i}{3 - 2i} \\ \frac{15i - 10 {i}^{2} }{9 - 4 {i}^{2} } \\ \frac{15i - 10( - 1)}{9 - 4( - 1)} \\ \frac{15i + 10}{9 + 4} \\ \frac{15i + 10}{13} \\ \frac{10}{13} + \frac{15i}{13} [/tex]

is 5 (10) the same as 5 (3+7)

Answers

Answer:

[tex]yes \\ because \\ 5 \times (10) = 50 \\ and \: 5(3 + 7) = 5(10) = 50 \\ than k\: you[/tex]

Answer:

yes, because 3+7 is equal to 10

Step-by-step explanation:

0.125, 2/5, 65%, 0.5, 1/4, 80%, 0.232 in order from greatest to least

Answers

0.232 0.125 80 65 2/5 1/4 0.5

Find the median and mode of 14 ,25, 14, 28, 18, 17, 18, 14, 23 22, 14 and 18

Answers

Answer:

Ascending order - 14, 14, 14, 14, 17, 18, 18, 22,

23, 25, 28

Median = ( n+1/2)

= ( 11+1/2)

= 12/2 = 6th term

Here, in order 6th term is 18, so 18 is median.

Mode is frequently occurring number.

Here frequently occurring number is 14 i,e 4 times.

Hence, 14 is mode.

Answer:

mode ; 14

median; 18

Step-by-step explanation:

Ans; 14, 14 , 14 ,14, 17 , 18 , 18 , 18 ,22, 23 , 25 , 28

mode ; 14

[tex]median = \frac{n}{2} = \frac{18 + 18}{2} = \frac{36}{2} \\ \\ median = 18[/tex]

I hope I helped you^_^

help please asap lol thanks​

Answers

Answer:

3.3

Step-by-step explanation:

Find all the numbers and find the mean

The x means that there are that many of each number

1 + 1 + 2 + 3 + 3 + 4 + 4+ 5 + 5 + 5

33

We have to divide that by the total amount of numbers present

33/10 = 3.3

hi please help i’ll give brain

Answers

Answer:

The GCF is going to be 2

Step-by-step explanation:

This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 8, 2 × 2 × 2 = 8

The prime factorization of 18, 2 × 3 × 3 = 18

The prime factorization of 70, 2 × 5 × 7 = 70

The one and THE only common factor is 2, which is going to be the GCF

Factorise: (Using Algebraic Identities)
64x^3-(4x-3y)^3

Answers

Answer:

9y(16x2−12xy+3y2)

Step-by-step explanation:

Factor 64x3−(4x−3y)3

144x2y−108xy2+27y3

=9y(16x2−12xy+3y2)

Answer:

9y(16x2−12xy+3y2)

Five times the sum of a number and 7 is 8

Answers

Answer:

(x + 7) 5 = 8

Step-by-step explanation:

A number = x

Sum = addition

(x + 7)

Five times would be

(x + 7) 5

And if equivalent to 8 then…

(x + 7) 5 = 8

Perimeter?
2cm
55mm
10cm
60mm

Answers

a = 2 cm

b = 55 mm = 5,5 cm

c = 10 cm

d = 60 mm = 6 cm

Perimeter: 2 + 5,5 + 10 + 6 = 23,5 cm

can someone please help me with this?

Answers

I think the given figure will help you....

2) Para realizar um campeonato de vôlei em uma escola o professor de educação física decidiu dividir os 96 alunos em grupos. Sabendo que cada equipe para esse esporte deve ser composta por 6 pessoas, quantas equipes o professor conseguiu formar?​

Answers

Answer:

Answer:

16

Step-by-step explanation:

96÷6=16

b. The number of cats your teammates have as pets: 0, 1, 3,2

Answers

Ok so 1.2 is the answer you get if you divide them

and you can also say one because its counting by ones

what is the rule division property of radicals?

Answers

Answer:

Divide the numbers from within the radicals.


Carly spent more than 180 minutes this week on her computer. She
spent 45 minutes on Sunday and the same number of minutes each
of the other 6 days. What is the minimum number of minutes that
Carly spent on her computer each of the other 6 days? Write and
solve an inequality.

Answers

Answer:256

Step-by-step explanation:

construct a quadrilateral KLMN in which KL=LM=KM=5cm,KM=8cm and LN =6 cm​

Answers

Answer:

Step-by-step explanation:

There are 2 possibilities.

1) Put a point L.

2) draw the circle of center L and radius 5 :C1

3) Put on point M on this circle

4) Draw the circle of center m and radius 8:C2

5) C1 and C2 intersect in K

Factor this polynomial completely.
6x2 + 7x - 20

Answers

It’s the third answer
(2x + 5) x ( 3x -4)

3. Determine the value of x if:
3.1. 75x -15 =5x + 125
3.2. 6(3x - 2) = 7(x + 3) +2
3.3.10/x-3= 8
3.4. x + 7 = 5x - 13
3.5. 20x +4 =4x - 46​

Answers

Step-by-step explanation:

3.1.

your question

75x-25=5x+125

collect like terms

70x=150

Divide both side by the coefficient of x

70x/70=150/70

70 ti cancel 70 on x side to leave x alone

:. x=150/70 or 2.14

3.2.

6×(3x-2)=7×(x+3)

multiply by the bracket

18x-12=7x+21

collect like terms

18x+7x=21+12

25x=33

divide by the coefficient of x

25x/25=33/25

x=33/25 or 1.32

3.3.

10/x-3=8

cross multiply(know that 8 is /1)

x‐3×8=10×1

8x-24=10

8x=10+24

8x=34

divide both sides by coefficient of x

8x/8=34/8

8x=34/8 or 4.25

3.4.

x+7=5x-13

collect like terms

7+13=5x-x

20=4x

divide both sides by the coefficient of x

20/4=4x/4

5=x

:.x=5

3.5.

20x+4=4x-46

collect like terms

20x-4x=-46-4

16x=-52

divide both sides by the coefficient of x

16x/16=-52/16

:.x=52/16 or 3.25

If n - 72 = 36, then what is the value of n?

Answers

N - 72 = 36

To solve for n add 72 to both sides of the equation:

N = 108

Answer:

108

Step-by-step explanation:

Add 72+ 36 you will get your answer

The answer is 108

Therefore n= 108

Jessica spent half of her allowance going to the movies. She washed the family
car and earned 9 dollars. What is her weekly allowance if she ended with
17 dollars ?

Answers

Answer:

16 dollars.

Step-by-step explanation:

She ended with 17 dollars after earning 9 dollars, so her amount of money before earning this was 17 - 9 = 8 dollars.  This is half of her weekly allowance, so her weekly allowance is double this or 16 dollars.

What’s the answer to this? Please send help

Answers

Answer:

But I see no attachment....pls recheck

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