Which expressions could be used to find the distance between points (-2, 8) and (7, 13) on a coordinate plane

Answers

Answer 1

Answer:

Step-by-step explanation:

Note how the stretch from x = -2 to x = 7 could be regarded as the horizontal leg of a right triangle (9 units in length), and that from y = 8 to y = 13 the vertical leg (5 units in length).  We need to find the length of the hypotenuse of this triangle, using the Pythagorean Theorem:

d = √(5² + 9²) = √106, or approximately 10.3 units.


Related Questions

0/2
Sandy had one hundred fifty - five dollars to spend on eight books. After buying them she had eleven dollars. How much did each book cost?

Answers

Answer:

Each book costs $18.

Step-by-step explanation:

$155 - 11 = $144 left

$144/8 books = $18 per book

Hope this helps!

Answer:

155 minus the 11 she still had means she spent 144.

144 divided by 8 books comes to $18 per book, on average.

A) Write the vertex form by substituting in values for x, y, h, and k, and then solve for a. Show your work. (10 points)

Answers

Answer:

[tex]a=-\frac{1}{8}[/tex]

Step-by-step explanation:

Given

See attachment for graph

Required

Write the vertex form and then solve for

The general equation is:

[tex]y = a(x - h)^2 + k[/tex]

From the attachment, the vertex is at:

[tex](h,k) = (24,50)[/tex]

i.e.

[tex]h = 24; k= 50[/tex]

Considering point:

[tex](x,y) = (4,0)[/tex]

i.e.

[tex]x=4;y=0[/tex]

Substitute these values in [tex]y = a(x - h)^2 + k[/tex]

[tex]0 = a(4 - 24)^2 + 50[/tex]

[tex]0 = a(- 20)^2 + 50[/tex]

[tex]0 =a(400) + 50[/tex]

[tex]0 = 400a + 50[/tex]

Solve for a

[tex]400a = -50[/tex]

Make a the subject

[tex]a=-\frac{50}{400}[/tex]

[tex]a=-\frac{1}{8}[/tex]

Answer:

y = a(x - h)^2 + k

h = 24, k = 50, x = 4, y = 0

0 = a(4 - 24)^2 + 50

0 = a(-20)^2 + 50

0 = a(400) + 50

0 = 400a + 50

400a = -50

a = - 50/400

a = - 1/8

Step-by-step explanation:

that's what i put copy and paste

write 75m:125cm in its simplest form​

Answers

Answer: should be 3/5

Step-by-step explanation:

Divide both the numerator and denominator by the GCD

75 ÷ 25

125 ÷ 25 if im wrong sorry

The ratio of 75m : 125cm in its simplest form is 60 : 1.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Two similar quantities.

We know 75m = 75×100 = 7500 cm.

Therefore, The ratio between them is,

7500 : 125.

1500 : 25.

300 : 5.

60 : 1.

learn more about proportion here :

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Answers

Answer:

i think it's "c" if u check y=6 x= 2

Step-by-step explanation:

so if u insert 2 in the formula c you get 6

I checked there work it is correct

a can do.a piece of work in 6 days and B in 8 days each working 7hours a day In what time will they finish it together, working 8hrs a day

Answers

A can complete the work in 7*6 hrs = 42 hrs. A can complete in 1 hr = 1/42 part. B can complete the work in 7*8 hr = 56 hrs. A&B together do in 1 hr = 1/42 + 1/56 = 7/168 = 1/24 part. So they will do in 8 hrs = 8*1/24 = 1/3 part. Hence they need 1÷1/3 = 3 days to complete the work.

You have a coupon for an additional 10% off the price of any sale item at a store. The store has put a laptop on sale for 25% off the original price of $750. What is the price of the laptop after both discounts?​

Answers

Answer:

$506.025

Step-by-step explanation:

$750 - 25% = $750 - $187.5

$562.25 - 10% = $562.25 - 56.225

What is the equation of the line that passes through the point (-8,5) and has a
slope of - ?

Answers

Answer:

Step-by-step explanation:

Can anyone help me will give you the brainliest

Answers

Answer:

256.76inch²

Step-by-step explanation:

area of square = side × side

6.4 × 6.4 = 40.96

number of squares = 6

6×40.96=256.76

6 sides , each is 6.4*6.4

40.96*6

245.76in

Help me on this please

Answers

Answer:

14. y=10

Step-by-step explanation:

3y-7=23

   +7   +7

3y=30

----  -----

3       3

y=10

Answer:

y=10j=8

Step-by-step explanation:

[tex]3y-7=23[/tex]

Collect like terms and simplify

[tex]3y =23+7\\3y=30[/tex]

Divide both sides of the equation by 3

[tex]\frac{3y}{3} = \frac{30}{3}[/tex]

Simplify

[tex]y=10[/tex]    

2.

[tex]\frac{3(j-1)}{2}=12 + \frac{2-j}{4} \\\\\mathrm{Multiply\:by\:LCM=}4\\\\\frac{3\left(j-1\right)}{2}\times\:4=12\times\:4+\frac{2-j}{4}\times\:4\\\\Simplify\\6\left(j-1\right)=-j+50\\\\Expand\:6\left(j-1\right) :6j-6\\\\6j-6=-j+50\\\\\mathrm{Add\:}6\mathrm{\:to\:both\:sides}\\6j-6+6=-j+50+6\\\\Simplify\\6j=-j+56\\\\\mathrm{Add\:}j\mathrm{\:to\:both\:sides}\\6j+j=-j+56+j\\\\Simplify\\7j=56\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\frac{7j}{7}=\frac{56}{7}\\\\Simplify\\j=8[/tex]

find the zeros of the function by factoring f(x)=x^2+16x+60


Please show work if you can

Answers

Answer:

-6 and -10

Step-by-step explanation:

First find two numbers that multiply to 60 and add up to 16

these numbers are 6 and 10

then write the numbers in factored form: (x+6) (x+10)

Then set each one equal to zero and solve to find the zeros of the function

x+6=0 --> x=-6

x+10=0 --> x=-10

the zeros of the function are -6 and -10

Hope this helps!

Ron made 2/3 of a quart of hot chocolate. Each mug holds 1/3 of a quart. How many mugs will ron be able to fill ? show work

Answers

Answer:

2 mugs

Step-by-step explanation:

He made 2/3rds quarts of hot chocolate, and needs to fill 1/3 quart mugs.

2/3 ÷ 1/3 = 2

Three-quartersbof the boat in the marina are white, 4/7 of the remaining boats are blue and the rest are red. How many boats are in the marina​

Answers

Hmmm... we are missing at least one value, number, of boats.

Please help. Will give Brainliest.

Answers

Answer:

2

Step-by-step explanation:

That is the only valid reflection across line e.

Answer:

2

Step-by-step explanation:

When an image is reflected over a line the triangles are positioned the same way and the distance from the line is the same therefore your answer is 2

At a baseball game, 89% of people attending were supporting the home team, while 11% were supporting the visiting team. If 2314 people attending the game supported the home team, what was the total number of people attending the game?

Answers

Answer:

2600

Step-by-step explanation:

2314 ÷ 89% = 2600

2314 is 89% of 2600.

1. The perimeter of a rectangular field is 60 ft
and its width is 20 ft. Find the area of this
field,
1,200 square feet
2. 120 square feet
3. 80 square feet
4. 100 square feet

Answers

Answer:

80 square feet

Step-by-step explanation:

I hope this helps a little bit.

A prism has a square base and a volume, V, of 350 cm3. The height, h, of the prism is 10 cm. Find the area of the base, B.

please help ASAP I will give brainliest :)

Answers

Answer:

The answer is 35cm squared :D

Step-by-step explanation:

Answer:

The answer is 35! I just did it, and it's 35!

Step-by-step explanation:

a) Simplify e(to the power of 5) x e(to the power of 4)

Answers

Answer:

e(to the power of 9)

Step-by-step explanation:

when you multiply variables with exponents, you have to add the exponents together.

Hi there!

Answer:   [tex]\huge\boxed{\ e^9}[/tex]

Explaination:

  1. e^5 multiplied by e^4 = e^(5 + 4) = e^9

Hope this helps!

f(1)= -34

f(n)=f(n−1) - 3

Find an explicit formula for f(n).

Answers

Answer:

f(n) = -34 -3(n - 1)

Step-by-step explanation:

The explicit formula for f(n) is given below:

Given that

f(1)= -34

f(n)=f(n−1) - 3

Based on the above information

f(n) = a1 +d(n -1)

a1 = -34

d = -3

So

f(n) = -34 -3(n - 1)

This above represent an explicit formula

factorise 36x³y-225xy³​

Answers

hihere is ur answer:

9xy(2x+5y)(2x-5y)

hope it’s good!!

Find the area of the circle.
18 ft
A
1017.9 ft2
B
254.5 ft?
С
113.1 ft2
D
339.3 ft2

Answers

Answer:

A.

Step-by-step explanation:

The formula for trying to find the area of a circle is Area= r^2

Sooo:

Area=3.14 x 18 x 18

18 x 18 is the first part of the equation

=324

Then:

3.14(pi) x 324 = 1017.36 = 1017 ft2

what is the value of the x- intercept of the following equation? 2x-6y=14

Answers

Answer:

x-3y-7=0

Step-by-step explanation:

Dont care bruuhh

Please help it’s due right now

Answers

Answer: hey I actually just finished learning about this in math.

Step-by-step explanation: the graph is a function, because it passes the vertical line test

A t-shirt increased in price by
2
3
. After the increase it was priced at £90. What was the original price of the t-shirt?

Answers

Answer:

923

Step-by-step explanation:

Global warming might cause rising sea levels and severe drought. ... (Also discuss whether power should remain with individual countries or be placed in an all-European government.) Think about the physical and human geography of Europe.

URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!

Answers

Answer:

Given points are ( 6, -2 ) and ( 12 , -2 )

Step-by-step explanation:

Slope of line ( m )

y2-y1

---------

x2-x1

= (-2 + 2)/ 12-6

Step-by-step explanation:

the slope is 0

Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

did the equation = 0

14) The words/phrases of at most, no more
than, no greater than, and maximum all
represent which inequality symbol?
A) greater than or equal to
B) less than
C) greater than
D) less than or equal to

Answers

Answer:

D

Step-by-step explanation:

If lucy has a card buiness she has an oder to make 65 cards she makes the same number of cards everyday for 7 days how many cards does she have to make on the last day

Answers

Answer:

2

Step-by-step explanation:

Total number of cards = 65

she makes the same number of cards everyday for 7 days

Number of days = 7

Cards per day = 65 / 7 = The result is 9 with a remainder of 2.

This means, she makes 9 cards per day for 7 days. Then on the last day she is left with 2 cards to make.

Permutations
How many different six-letter words can be formed from the word SCHOOL?

Answers

Answer:

Se pueden formar 2520 palabras distintas de 7 letras con las letras de la palabra ESCUsil

Explicacion:listo :)

108 divided by 2 1/2

Answers

Answer:

43.2

Step-by-step explanation:

first turn 2 1/2 into an improper fraction

(2 × 2) + 1 = 5

5/2

then turn 5/2 into a fraction

5 ÷ 2 = 2.5

now divide!

108 ÷ 2.5 = 43.2

Number equivalent to 108/2 1/2 is 43.2 .

Given,

108 divided 2 1/2

Using division property,

The rules for division are:

(1) positive × or ÷ positive = positive

(2) positive × or ÷ negative = negative

(3) negative × or ÷ negative = positive

Rule for long division method,

Divide the tens column dividend by the divisor.

Multiply the divisor by the quotient in the tens place column.

Subtract the product from the divisor.

Bring down the dividend in the ones column and repeat.

Therefore,

divide, multiply, subtract, bring down and repeat or find the remainder.

Here the required value is of :

108/2 1/2

= 108 / (5/2)

= 43.2

Hence the answer is 43.2

Know more about division,

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Canarie Manufacturing produces snow shovels. The selling price per snow shovel is $29.00. There is no beginning inventory. Costs involved in production are: Direct material $4.00 Direct labor 4.00 Variable manufacturing overhead 3.00 Total variable manufacturing costs per unit $11.00 Fixed manufacturing overhead per year $233,550 In addition, the company has fixed selling and administrative costs of $162,400 per year. During the year, Canarie produces 51,900 snow shovels and sells 46,500 snow shovels. Exercise 5.11 What is the value of ending inventory using full costing? Value of ending inventory

Answers

Answer:

Value of ending inventory = $97,650

Step-by-step explanation:

Full costing is a costing method that consider all the costs including all variable and fixed costs in determining the cost of producing products or services.

From the question, we have the following:

Total variable manufacturing costs per unit = $11.00

Fixed manufacturing overhead per year = $233,550

Number of snow shovels produced during the year = 51,900

Number of snow shovels sold during the year = 46,500

Therefore, we have:

Total variable manufacturing costs incurred during the year = Total variable manufacturing costs per unit * Number of shovels produced during the year = $11.00 * 51,900 = $570,900

Based on full costing, we have:

Total cost of producing snow shovel during the year = Fixed manufacturing overhead per year + Total variable manufacturing costs incurred during the year = $233,550 + $570,900 = $804,450

Production cost per unit = Total cost of producing snow shovel during the year / Number of snow shovels produced during the year = $804,450 / 51,900 = $15.50

Number of ending inventory = Number of snow shovels produced during the year - Number of snow shovels sold during the year = 51,900 - 46,500 = 6,300

Value of ending inventory = Number of ending inventory * Production cost per unit = 6,300 * $15.50 = $97,650

Math problem and answers are in the picture

Answers

Answer: 1/3

Step-by-step explanation:

From the point (-1,0) you go to the right one square, and up 3 squares to get to the next point on the graph that the line goes through (0,3).

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