Find the distance between the points (-3, -6) and (5,9).
Hint: Use the Pythagorean theorem.

Answers

Answer 1

Answer:

The distance between the points (-3, -6) and (5, 9) is 15 units.

Step-by-step explanation:

Given the points

(-3, -6)(5, 9)

First, we need to find the distance between the two x-coordinates. For this, we need to count the distance from 0 to another point. Then we just add them together.

i.e.

-3 to get to 0 takes 3 units

0 to 5 takes 5 units

3+5=8 units

Just do the same for y-coordinate

From -6 to 0 takes 6 units

0 to 9 takes 9 units

6+9 = 15 units

Therefore, we get the base and height.

Now using the Pythagoras' Theorem to find the distance:

c² = 8² + 15²

c² = 289

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]c=\sqrt{289},\:c=-\sqrt{289}[/tex]

[tex]c=17,\:c=-17[/tex]

As the distance can not be negative.

so

c = 15 units

Thus, the distance between the points (-3, -6) and (5, 9) is 15 units.


Related Questions

At a sale, dresses were sold for $142 each. If the dresses originally cost $200 each, what percentage of its original price was a dress sold for?

Answers

Answer:

71%

Step-by-step explanation:

All you have to do is divide 142 by 200 to get the percent, which is 70.

A football team gained 9 yards on one play and then lost 22 yards on the next and
finally gained 12 yards on the final play. What is the result of the three plays?

Answers

9 - 22 is -13 then add 12 yards equals -1 so they just lost one years from where they started so the answer is -1

A family went to a baseball game. They spent $25 to park the car in a parking lot and $24 per ticket. Which equation represents x, the total number of people going to the baseball game if the family spends y, $145 total?

Answers

There was 6 people in to total

the red knot speeds spring and summer in northern canada where it's breeding ground are located and winters as far south as the southern tip of South America.


a) Canada, where it's breeding ground located
b) Canada where it's breeding ground located,
c) canada, where it's breeding ground located,
d) correct as it is


witch one is correct​

Answers

Answer: A

Step-by-step explanation:

uIf it included Northern in the answer choices than it should be capital because it is a location and with the comma after Canada helps clarify here its breeding ground is at and to stop it from being a run on sentence (tho It would be used with a period to stop a run on sentence but to help it here.)

Which would describe a translation 2 unis left and one unit up

Answers

Answer:

(2, 1) or (1, 2)

Step-by-step explanation:

I not sure :3 I think its most likely (1, 2)

Zelda rode her bike at a steady rate of 12 miles per hour for 3

Answers

Answer:

36miles

Step-by-step explanation:

Given parameters:

Rate  = 12mph

Time  = 3hr

Unknown:

Distance = ?

Solution:

The given rate amount is the speed. Speed is the distance divided by the time.

It is mathematically expressed as:

         Speed  = [tex]\frac{distance}{time}[/tex]  

    Distance  = Speed x time

    Distance  = 12 x 3  = 36miles

Adults in Turkey have mean caloric intake of 3500 calories per day (Wikipedia) with a standard deviation of 500 calories. A sample of 25 Ankara University students has an average intake of 3400 calories per day. Is this enough evidence to conclude that Ankara U. students average is not 3500 calories per day? Assume the distribution is normal.
A. State the null and alternative hypotheses.
B. What is the value of the test statistic?
C. Specify the rejection region?
D. State the conclusion.

Answers

Answer:

A) Null hypothesis; H0: μ = 3500

Alternative hypothesis;Ha μ ≠ 3500

B) t = -1

C) the rejection region will be;

p-value < 0.05

D) Conclusion is that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.

Step-by-step explanation:

We are given;

Population mean; μ = 3500

Population standard deviation; σ = 500

Sample mean; x¯ = 3400

Sample size; n = 25

We want to find enough evidence to conclude that Ankara U. students average is not 3500 calories per day.

Thus, the hypothesis is defined as;

A) Null hypothesis; H0: μ = 3500

Alternative hypothesis;Ha μ ≠ 3500

B) sample size is less than 30, thus we will use a t-test.

Formula for the test statistic is;

t = (x¯ - μ)/(σ/√n)

t = (3400 - 3500)/(500/√25)

t = -100/(500/5)

t = -1

C) since the sample is small, let's assume a significance level of 0.05.

Thus,the rejection region will be;

p-value < 0.05

D) from online p-value from t-score calculator attached using;

t = - 1; DF = 25 - 1 = 24; significance level = 0.05 and two tailed hypothesis, we have;

p-value ≈ 0.3273

This is greater than the significance value of 0.05.

Thus, we will fail to reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that Ankara U. students average is not 3500 calories per day.

Which fraction and decimal forms match the long division problem? A. B. C. D.

Answers

Answer:

C 4/15 and 0.266 repeating

Step-by-step explanation:

I used a calculator

Need help please on this

Answers

Answer:

I think it's dilated by a scale factor of 5. Because the black one is 3 squares long and the purple one is 15. So divide those and you get 5! and to check just multiply 5x3 to find the length of the purple one!

Step-by-step explanation:

Hope this helps! please mark brainliest! :)

Which number has a 3 that is 1/10 the value of the 3 in 14.37 ?

Answers

Answer:

0.3

Step-by-step explanation:

37) True or False: A high school principal surveys the community about the high school's basketball program.
The school sends surveys to 5,000 households and receives 120 forms back. This is an example of nonresponse.

Answers

Answer:

true

Step-by-step explanation:

Shannon spent the day at the mall. She spent $5.75 on earrings and 4 times that amount on a shirt. After shopping, she came home with $7.75 in her wallet. How much money did she take to the mall originally?



A.
$21.00

B.
$28.75

C.
$30.75

D.
$36.50

Answers

The answer is definitely D


The park is 5 miles east of your home. The library is 4 miles north of the park. How far is your home from the library? Round your answer to the nearest tenth. Must show work to receive full credit.

Please help

Answers

Answer:

6.4

Step-by-step explanation:

4 squared plus 5 squared is 41 and then you square 41 which gives you 6.4

Brainliest

Does changing the compound inequality x>-3 and x<3 from and" to or change the soluion set? Explain

Answers

Answer:

Yes

Step-by-step explanation:

If you look at it. X is basically -2, -1, 0, 1, or 2.

Hope I helped and Pls Mark Brainliest

while tim is waiting for school to start he pulls a quarter from his pocket. how many outcomes are possible if he flips the quarter three times?​

Answers

Answer:

3

Step-by-step explanation:

he flips it three times

How do I solve this ?

Answers

Answer:

See attachment :D

Step-by-step explanation:

y = 2/3x + 2

This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.

The line intersects with points (-3,0) and (0,2).

Hope this is helpful ^^ Good luck with your test :D

PLEASE HELP ME! I AM BEGGING YOU!

Answers

Answer:

Do I have to download it?

Step-by-step explanation:

Simplify.
2 + 8h + 5 + 2h =

Answers

Answer: 7+10h=

Step-by-step explanation:

Just add the numbers that match.

2+5= 7

8h+2h= 10h

Answer:

Step-by-step explanation:

2+8h +5 2h =7+ 10h

You add 2+5 and then add 8h and 2h

An oblique prism has a volume of 144 cubic units. The area of its base is 24 square units.

Answers

Answer:

ok..... so what is the question?

Step-by-step explanation:

Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.

Answers

Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.

Answer:

x = 3

Step-by-step explanation:

Since the triangles are congruent then corresponding sides are congruent, that is

DE = AB , substitute values

6x - 7 = 11 ( add 7 to both sides )

6x = 18 ( divide both sides by 6 )

x = 3

solve (x – 3)2 = 81 quadratic equation​

Answers

Answer:

x = 43.5 or x = 87/2

Step-by-step explanation:

(x - 3)2 = 81

2x - 6 = 81

2x = 87

x = 43.5

A function is graphed below.



Which of the following represents the range of the function?

Answers

Answer:

el ranho de algo que esm ansgwne

Please, can someone help me on math? Struggling a bit.

Answers

to find the perimeter you just multiply the numbers for example

for number one just multiply 4 and 6 which is 24

what is the LCD of 8/9 and 7/8

Answers

Answer:

72 I think

Step-by-step explanation:

I'm not 100% sure but I think its 72

Answer:

The Least Common Multiple (LCM) of 8 and 9 is 72,

and the Least Common Multiple (LCM) of 7 and 8 is 56.

Find the value of the missing angle in the triangle below:

Answers

Answer:

85°

Step-by-step explanation:

x+32°+63°=180°(being sum of interior angle of triangle)

x=180°-95°

:. x=85°

Which inequality is represented by the graph?

Answers

Answer:

y<2/3x-2.5

Step-by-step explanation:

Y=mx+b

m=2/3

b=2.5

because the top half of the graph is shaded

What is the difference of the polynomials?
(5x^3+ 4x^2)-(6x^2-2x-9)

Answers

i think its B ......

The difference of the polynomials (5x3 + 4x2) – (6x2 – 2x – 9) is 5x3 – 2x2 + 2x + 9.

A polynomial is an expression consisting of variables and coefficients,

5x3 + 4x2 - (6x2 - 2x - 9)

= 5x3 + 4x2 - 6x2 + 2x + 9

= 5x3 - 2x2 + 2x +

What is the value of |5| - | -5| - (-5)? The solution is​

Answers

Answer:

5

Step-by-step explanation:

when we simplify it we get 5-5+5 which equals 5

HELP! WILL GIVE BRANLIEST!
(Question 12!)

Answers

Answer: c you welcome , also thx for points let me know how it feel failing your test

Step-by-step explanation:

parallelogram =
2x, 3x - 15, 2x + 24, 2x
Work out the value of x.​

Answers

X=2x +£2x -15) +2x +(2x +24) 180= 9x+7x = 9 +9x = 18

Answer:

Step-by-step explanation:

The above figure is a parallelogram and so - "the opposite sides of a parallelogram are equal"

so -

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