Find the distance between these points in two ways: (-2, 5) and (4, 13).
a. Use the point ( - 2, 5) as (x1, y1) and the point (4, 13) as (x2, y2) in the distance
formula.

Answers

Answer 1

Answer:

[tex]\displaystyle d = 10[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (-2, 5)

Point (4, 13)

Step 2: Identify

x₁ = -2, y₁ = 5

x₂ = 4, y₂ = 13

Step 3: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]:                                                        [tex]\displaystyle d = \sqrt{(4+2)^2+(13-5)^2}[/tex][Distance] [√Radical] (Parenthesis) Add/Subtract:                                        [tex]\displaystyle d = \sqrt{(6)^2+(8)^2}[/tex][Distance] [√Radical] Evaluate exponents:                                                    [tex]\displaystyle d = \sqrt{36+64}[/tex][Distance] [√Radical] Add:                                                                              [tex]\displaystyle d = \sqrt{100}[/tex][Distance] [√Radical] Evaluate:                                                                       [tex]\displaystyle d = 10[/tex]

Related Questions

Which investment would make you the most interest? Explain.

A: $450 at 7% for 10 years

B: $1,300 at 5% for 6 years

Your answer:

Answers

Answer:

B

Step-by-step explanation:

solve the system of equations 5x+3y=5 5x+7y=25

Answers

Answer:

(-2,5)

Step-by-step explanation:

Pls help with question 4

Answers

Answer:

C.)

Step-by-step explanation:

Carla is offered a new job with big time book sellers. Her starting wage is $10.00 per hour, and she will receive a $0.50 raise after the first year. For each year that she stays with the company after that, her raise will be $0.50 more than it was the year before. How much will Carla make per hour in her 7th year working at big time book sellers? A, How would you solve the problem? Explain the steps you would take. What is your answer? B, What is one important detail from this problem that you think people might commonly miss?

Answers

Answer: she would make 13.50 per hour for the 7th year you would solve it by .50x7 and add it to 10.00

Step-by-step explanation:

What is the product of 5/10 x 4/5 in lower terms (simplified)?*


A.20/5
B.2/5
C.9/15
D.10/25

Answers

If I’m not wrong 2/5

Answer:

[tex]\frac{2}{5}[/tex]

Step-by-step explanation:

We have two fractions being multiplied and are being asked to simplify it.

When you multiply two fractions, you always multiply across :

[tex]\frac{5}{10}*\frac{4}{5} = \frac{5*4}{10*5}[/tex]

[tex]\frac{20}{50}[/tex]

Since both the numerator and denominator end in 0, we can simplify this by cutting out the zeroes.

Leaving us with B. 2/5

Thor made 45 gallons of of punch. The recipe he followed called for 7/9 of the punch to be orange juice. How many gallons of orange juice did Thor use to make the punch

Answers

Answer:  35 gallons

============================================================

Work Shown:

x = orange juice amount

x = (7/9)*(total amount of juice)

x = (7/9)*45

x = (7/9)*(45/1)

x = (7*45)/(9*1)

x = 315/9

x = 35 gallons of orange juice

-------------------------

Another way to approach the problem:

Draw a rectangle and split it into 9 equal slips. If the whole rectangle's area is 45 square units, then each little skinny rectangle is 45/9 = 5 square units.

Shade in exactly 7 of these little rectangular slips. The shaded portion represents 7*5 = 35 square units, which corresponds to the answer of 35 gallons.

Any help finding the 0th term of this geometric sequence? ​

Answers

Answer:

25,50,100 is the geometric sequence ?

does 1 pound of ice weigh same as 1 pint of water?

Answers

No it does not. It is slightly less that 1 pint

1. A Square shaped wooden plate has a diagonal length of 30cm. Can you find the Perimeter of plate ?

Answers

Answer:

84.85cm

Step-by-step explanation:

Let the sides of the square be x

The perimeter of the square = 4x

Get x using the pythagoras theorem

x^2 + x^2 = 30^2

2x^2 = 900

x^2 = 450

x = 21.21cm

Perimeter of the plate = 4(21.21)

Perimeter of the plate = 84.85cm

The weekly sales at two movie theaters were recorded for a random sample of 25 weeks. A 95 percent confidence interval for the difference in mean weekly sales for the two movie theaters was calculated as ($1,288,$2,586). With all else remaining constant, which of the following would have resulted in a confidence interval narrower than the calculated interval? A sample size less than 25 A sample size less than 25 A A sample size greater than 25 A sample size greater than 25 B An increase to 99 percent confidence An increase to 99 percent confidence C A sample mean greater than $1,937 A sample mean greater than $1,937 D A sample mean less than $1,937

Answers

Answer:

A sample size greater than 25

Step-by-step explanation:

Margin of error of a confidence interval:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which z is related to the confidence level(higher confidence level means higher z) [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

The higher the margin of error, the wider the interval is.

To have a narrower interval:

For a narrower interval, the margin of error has to be diminished. This can be achieved reducing the confidence level, or increasing the sample size.

In this question:

There are no options that say reducing the confidence level, so we should increase the sample size, that is, a sample size greater than 25.

how to figure the surface area 4yd 4yd 1yd they say the answer is 48yd2. how do they get this answer

Answers

Answer:

area of top and bottom (total of 2) = 4x4x2 = 32 yd^2

area of 4 sides = 4x1x4 =16 yd^2

32+16 = 48 yd^2

can you help me solve this plz?

Answers

Answer:

x=5.6  y=4.8

Step-by-step explanation:

The answer is X=5.6 y= 4.8

diagram this statement.Then answer the questions that follow.

Joseph gave three fourths of his 288 sports cards to his brother.

A) what percent of his sports cards did his Joseph give to his brother?

B)How manny sports cards did Joseph have left?

Answers

75%=3/4 for a
77 for b

if a board 8ft is cut into three equal pieces how long are they

Answers

The answer is 2.667 :) .-.

PLS HELP ME U DONT HAVE TO SHOW UR WORK

Answers

-9...................

PLS HELP!
Adrian is going to invest $9,900 and leave it in an account for 10 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required in order for Adrian to end up with $17,700?

Answers

Answer:

5.81%

Step-by-step explanation:

bantuin dong jawap no 1
hari ini mahu di kumpul​

Answers

Answer:

gfdebebbebebdbrbvrbrbbrbrbfvvfvf

Lillian wants to give 1/3 of a pizza to each of six girls at her party. Dragon drop the correct equation an answer to find how many pizzas Lillian needs

Answers

Answer:

2 pizza

Step-by-step explanation:

Given

[tex]Pizza = \frac{1}{3}[/tex]

[tex]Girls = 6[/tex]

Required

Amount of Pizza needed

To do this, we simply multiply the fraction of pizza by the number of girls i.e.

[tex]Amount = Pizza * Girls[/tex]

[tex]Amount = \frac{1}{3} * 6[/tex]

[tex]Amount = 2[/tex]

Hence, Lilian needs 2 pizza

help plzzzzzzzzzzzzzzzzz

Answers

Answer:

your best bet is 16.168.

id-k how to round it to the nearest tenth

Step-by-step explanation:

c) The phone case you want to buy is marked down 30%, and you have a 25% off coupon.
You pay $42.00. Can this equation be used to find the original price of the phone case? If so,
what is the original price of the item? Explain. (5 points)
(0.7c) = 42

Answers

Answer:

Step-by-step explanation:

Remark

The problem with this question is that you don't exactly know what the 25% does.

I think the way to do the problem is to consider where the 42 dollars comes from.

I think the beginning part of the problem is to develop an equation which you may not be able to solve.

So the cost using the 30% reduction is 0.7c where c is the original cost. But the 25% makes the actual cost for the person = 0.7c - 25% of 0.7c

The result is 42 dollars.

0.7c - 0.25*0.7c = 42

If I'm right, that can be solved.

0.7c - 0.175c = 42

0.525c = 42

c = 42/0.525

c = 80 dollars.

So before all the reductions and everything else, the case actually cost 80 dollars.

what fraction is next in pattern 1/8, 1/4, 3/8, 1/2 ?

Answers

Answer: 5/8

Step-by-step explanation:

What is the product of ( 8 – j10 ) and ( 6 + j4) in rectangular form?
a) 48 – j 60
b) 88 – j 28
c) 38 + j 28
d) 48 + j 60​

Answers

Answer:

b

Step-by-step explanation:

Given

(8 - j10)(6 + j4) ← expand factors using FOIL

= 48 + j32 - j60 - j²40 [ j² = - 1 ]

= 48 - j28 + 40

= 88 - j28 → b

How can I solve
2y=4-3y

Answers

Add 3y to both sides then divide both sides by 5.

[tex]2y=4-3y\implies 5y=4\implies y=\frac{4}{5}[/tex]

Hope this helps.

Answer:

y = 0.8

Step-by-step explanation:

You must rewrite the equation so that the y variables are all on one side of the =, and the numbers are on the other. To do this, you must add 3y to 2y (because it is originally -3y, and you have to do the opposite, meaning you add rather than subtract):

5y = 4

Next, to remove 5 from the equation, since 5y means they are multiplied together, you must do the opposite, so divide each side by 5:

5y ÷ 5 = y

4 ÷ 5 = 0.8

Therefore, y = 0.8

4x - 3y =24
Find the x and y intercept then use them to graph the line​

Answers

Answer:

y=21-7x

-7 is your slope

21 is your y-intercept

Step-by-step explanation:

you send the 4x the other side and you send the other side opposite so it going to be -4x

-3y= 24-4x

than you divide -3 on 24 and -4x

Can someone help me here thx!

Answers

choice A bc sub in 8 for v... 8-8=0/2=0. 12+0=12- so 12=12

The answer is v = 8

because 8-8=0 0/2=0

12+0= 12

12=12

John bought a video game that was 20% off. The game was originally $60. What was the sale price of the game?

Answers

The answer would be $48

Answer:

it was $48

Step-by-step explanation:

$60X0.2

=$48

You welcome

What is the perimeter of △LMN?

8 units
9 units
6 + StartRoot 10 EndRoot units
8 + StartRoot 10 EndRoot units

Answers

Answer: 8 + StartRoot 10 EndRoot units (Option D, in other words, the last one)

Step-by-step explanation: I'm right bros

If each quadrilateral below is a rectangle, find the missing measures, will mark brainliest

Answers

Answer:

m<JMK=54°

m<JKH=63°

m<HLK=90°

m<HJL=27°

m<LHK=63°

m<JLK=27°

Step-by-step explanation:

m<JMK=54°

m<JKH=63°

m<HLK=90°

m<HJL=27°

m<LHK=63°

m<JLK=27°

equation equivalent to 64

Answers

Answer:

x - 64 = 0

x - 32 = 32

too many others

Martha is following a recipe for 13 liters of punch that uses 8 liters
of pineapple juice and the rest lemonade.
How much pineapple juice is used for every liter of lemonade? What is the ratio of liters of pineapple juice to liters of punch ?

Answers

Answer:

For every 1 liter of lemonade Martha has to add 1.6 liters of pineapple juice.

The ratio of liters of pineapple juice to liters of punch is 8:13

Step-by-step explanation:

13 - 8 = 5

5 divided by 5 is 1

8 divided by 5 is 1.6

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