What is the distance between the points ( 38,30) and (14,20)?

Answers

Answer 1

Answer: To find out the distance of two coordinates, we can use this equation.

Distance S = [ (y2-y1)^2 + x2-x1)^2 ] ^ 0.5

x1 , y1 = 38 , 30
x2 , y2 = 14 , 20

Distance S = [ (20-30)^2 + (14-38)^2 ] ^0.5
= [ 10^2 + (-24)^2 ] ^ 0.5
= [ 100 + 576 ] ^ 0.5
= 676 ^ 0.5
= 26

Answer 2

Answer: (24,10)

Hope this helps!

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The price of a gallon of unleaded gas was $2.80 yesterday. Today, the price rose to $2.87 . Find the percentage increase. Round your answer to the nearest tenth of a percent.

Answers

Earlier price is 2.80
Current price is 2.87

Increment is
2.87 - 2.80
0.07

Increment percentage is
(0.07 / 2.80) * 100
2.5 %

Solve for x: −3|x + 7| = −12

Answers

-3Ix + 7I = -12 (divide -3 from each side)

Ix + 7I = -12/3

Ix + 7I = -4

x + 7 = -4 or -x - 7 = -4

x = -11 or -x = 3
x = - 3

x = -3 or -11

-3|x+7|= -12
⇒ |x+7|= -12/(-3)
⇒ |x+7|= 4
⇒ x+7= 4 or x+7= -4
⇒ x= 4-7 or x= -4 -7
⇒ x= -3 or x= -11

Final answer: x= -3 or x= -11~

You are reducing a map of 24 in. by 36 in. to fit onto a piece of paper 8 in. by 10 in. What are the dimensions of the largest possible map that can fit on the page?

Answers

The largest possible map that can fit on the page is 8 in. by 12 in.

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

We can begin by finding the scale factor by which the map needs to be reduced.

Since the map dimensions are 24 in. by 36 in., and we want to fit it onto a page that is 8 in. by 10 in.

We need to reduce each dimension by the same factor.

Let x be the scale factor:

24/x = 8

36/x = 10

Solving for x, we get:

x = 24/8 = 3

Therefore, we need to reduce the map by a scale factor of 3.

To find the dimensions of the largest possible map that can fit on the page, we divide the original map dimensions by 3:

24/3 = 8

36/3 = 12

Hence, the largest possible map that can fit on the page is 8 in. by 12 in.

To learn more on Ratios click:

brainly.com/question/1504221

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Since 10 in will be the longer side, to find the shorter did
x/10 = 24/36
x/10 = 2/3
x = 10•(2/3)
x = 6 2/3
So the dimensions are
6 2/3 in by 10 in

When adding and subtracting fractions

Answers

Before you can add or subtract fractions with different denominators, you must first find equivalent fractions with the same denominator, like this: Find the smallest multiple (LCM) of both numbers. Rewrite thefractions as equivalent fractions with the LCM as the denominator.

Over the weekend, the All Smiles Run had 16,478 participants for the Half Marathon. The All Smiles 10K had 6,924 participants, and the 5-Mile Walk had 3,067 participants. How many more people participated in the Half Marathon than in the 10K race and the 5-Mile Walk combined?
a. 6,487
b. 6,587
c. 9,991
d. 12,621

Answers

6924
+3067
=9991

16478
- 9991
= 6587

The answer is b.

Write down the inequality described by "half of x is no more than three", and solve for x.

Answers

Answer:

Inequality: $(x)/(2) \leq 3$

Solved: $x\leq 6$

Step-by-step explanation:

$(x)/(2) \leq 3$

$x\leq 6$

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At the Bronx Zoo, tickets for adults cost $28 and tickets for children cost $13. If 550 tickets are sold on Saturday for a total of $12,700, how many adult tickets were sold and how many children tickets were sold?

Write a compound inequality that represents each situation. Graph your solution.all real numbers that are greater than –6 but less than 6 A) –6 ≤ x < 6 B) –6 ≤ x ≤ 6 C) –6 < x < 6 D) –6 < x ≤ 6

What is 12.48 in simplest form?

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