Find the distance between C (-1,7) and D (-8,-3). Please provide a thorough explanation, thank you!

Answers

Answer 1

Answer:

[tex]d=\sqrt{149}\approx12.21[/tex]

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We have the two points (-1, 7) and (-8, -3).

Let (-1, 7) be (x₁, y₁) and let (-8, -3) be (x₂, y₂). Substitute:

[tex]d=\sqrt{(-8-(-1))^2+(-3-7)^2}[/tex]

Evaluate:

[tex]d=\sqrt{(-8+1)^2+(-10)^2}[/tex]

Evaluate:

[tex]d=\sqrt{(-7)^2+(-10)^2}[/tex]

Square:

[tex]d=\sqrt{49+100}[/tex]

Add:

[tex]d=\sqrt{149}\approx12.21[/tex]

This cannot be simplified. Hence, the distance between (-1, 7) and (-8, -3) is √(149) or approximately 12.21 units.


Related Questions

Rewrite the rational exponent as a radical expression. (2 points)

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Answer:

the eighth root of 2 to the fifth power .

Step-by-step explanation:

Answer:

the ninth root of 3 is the answer    AKA: B

Step-by-step explanation:

Took the test

if the bathtube holds 46.2 gallons How many mints will it take to fill the whole tub​

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Answer:

takes 3 minutes

Step-by-step explanation:

what is the equation in point slope form of a line that passes through the points (-4,-1)and5,7)

Answers

Answer:

[tex]\frac{8}{9}[/tex]

Step-by-step explanation:

using the image attached as reference

(-4,-1) - the -4 becomes x1, and the -1 becomes y1

(5,7)  - the 5 becomes x 2 and the 7 becomes y2

plug this information into the equation

      7-(-1)

m=----------      

      5-(-4)

solve

       8

m=----------    

        9

​so your slope would become 8/9

prove a stronger version of proposition 2.3.7 suppose xn ia a sequence such that every subsequence xni has a subsequence xnmi that converges to x

Answers

Answer and Step-by-step explanation:

Solution:

Given:

A, B and C are sets.

We have to prove that:

(A − B) ∩ (C − B) = (A ∩ C) − B.

Use an element x,

Let x Є (A – B), by the definition of difference:

X Є A  and x ∉ B.

And

X Є A ∩ C and x ∉ B

X Є (A ∩ C) – B

Now let x Є C – B

By the definition of difference:

X Є C and x ∉ B

By definition of intersection: x Є C and x Є( A ∩ C)  

By definition of difference, using that x Є(A ∩ C) And x  ∉ B:

X Є ( A ∩ C) – B

We know that: x Є (A – B) ∩ ( C – B)

Is equivalent to x Є A – B  and x Є C – B

So, ( x Є A and x ∉ B)

And (x Є C and x  ∉  B)

From this we know that x Є (A ∩ C) – B.

The classic 60° triangle has a hypotenuse of length 2, an opposite side of length √3 and an adjacent side of length 1....find the value of Cos(60°)

Answers

Answer:

The trigonometric values for cos are C = A/H, which means that to find cos(60), you need to divide the adjacent side by the hypotenuse, which in this case gives you 1/2, so that is the value of cos(60).

I hope this helps!

Step-by-step explanation:

Find the missing lengths in the given triangle​

Answers

90° becuase 60+30 = 90 and 90+90=180

choose the expression that correctly compares 0.720 and 0.7200​

Answers

Answer:

0.720 = 0.7200

Step-by-step explanation:

These decimals are equivalent.

HTH :)

Answer:

0.720=0.7200

Step-by-step explanation:

Take a zero away from the second number and Boom

A type of student loan that offers no payments and no interest until graduation is called:

Answers

Answer:

Private Loans

Step-by-step explanation:

Answer:

This is called subsidized loan

What is the answer to 32divided by 7/8

Answers

Answer:

Boyy

Step-by-step explanation:

71 2/3 as a fraction

Answers

Answer:

215/3

Step-by-step explanation:

71 multiplied by 3 (denominator) + 2 (remainder) divided by 3

The improper fraction for the given mixed fraction is 215/2.

The given fraction is [tex]71\frac{2}{3}[/tex].

These are just improper fractions written as a sum of whole number and a proper fraction. (improper fraction has the upper value(also called numerator) bigger or equal to denominator(the bottom value) and proper fraction has numerator value is less than that of the denominator)

They are written and can be converted to fraction as: [tex]a\frac{b}{c} = \frac{(a\times c)+b}{c}[/tex]

Now, [tex]71\frac{2}{3}=\frac{71\times3+2}{3}[/tex]

= (213+2)/3

= 215/3

Therefore, the improper fraction for the given mixed fraction is 215/2.

Learn more about mixed fractions here:

brainly.com/question/886123.

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Explain how to plot the point (3, –7) on the coordinate plane.


PLS HELP FAST

P.S. i only need one small pharagraph

Answers

We have the values 3 and -7. The first number is x and the second is y. Meaning, x (the first number) would go on the x axis while y (the second number) will go on the y axis. We will plot x on 3 and since y is negative we will plot it further more down to -7.

Answer:

First you go to the x-axis put your point on where the coordinate says. In this case, 3. Then go to the y-axis and put your coordinate there, -7. The x-axis is first also knows as the first number in the coordinate.

Step-by-step explanation:

E23 I put as answer was correct :)

CAN YOU PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP (24 points)

The perimeter of a rectangle is 54 inches. Its length is 22 inches. Write and solve an equation to determine its width?

2 times the width + 2 times the length = perimeter

Answers

Answer:

I'll sing out

Step-by-step explanation:

give me a sec

Find the new amount.

15 liters increased by 60% is
( ? ) liters.

Answers

Answer:

24

Step-by-step explanation:

15*1.60=24

Nora is 4 years older than Hina . If the sum of their ages is at most 45 years ,find the maximum possible age of Hina. *

b) 25 years

a) 20 years

c) 15 years

choose the correct answer

Answers

Answer:

a) 20 years

Step-by-step explanation:

Hina:  x

Nora:  x + 4

x + x + 4 ≤ 45

2x + 4 ≤ 45

2x ≤ 41

x ≤ 20.5

20 years old and 15 years old would be ≤ 20.5 but the question asked for maximum possible age so 20 years old it is.

20 POINTS!!!
The volume of a ball is 30 cm^3. If the diameter of the ball is dilated by a scale factor of 5, what is the new volume of the ball? Don't include the units

Answers

girl you lied it was only 10 points try again

need help with simplifying.

Answers

Answer:

Step-by-step explanation:

4x^3 + 7x^3 - 5x + 9x + 3 + 11 = 11x^3 + 4x + 14

A local hamburger shop sold a combined total of 769 hamburgers and cheeseburgers on Saturday. There were 69 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?

Answers

Answer:

If you subtract 69 from 769 giving you 700 and divide by 2. You will be get 350 hamburgers and 419 cheeseburgers.

Please answer see the image

Answers

Answer:

67.7

Step-by-step explanation:

The long sides contribute a total of 30 , while the two half semi-circumferences contribute pi * 12 giving a total of:

67.699 which rounded to the nearest tenth is:

67.7

Answer:

67.7

Step-by-step explanation:

perimeter = semicircle (x2) + parallelogram side (x2)

                = 1/2 π 12 (x2) + 15 (x2)

               = 37.7 + 30

               = 67.7

Mrs. Pitts wrote the volume formula as "V=Bh". what does "B" represent

Answers

Answer:

B stands for the area of the base of a figure.

Step-by-step explanation:

Example: In a square prism, the area of the base would be the length times the width of the square.

Which statements are true? Select the five correct answers.

Answers

Answer:

All except the last one

Step-by-step explanation:

[tex]\sqrt{1.9}[/tex]=1.37840488

[tex]\sqrt{1.8}[/tex]=1.34164079

Answer:

The first 5

Step-by-step explanation:

Re-write the quadratic function below in Standard Form
y = -(x – 3)2 +8

Answers

Answer:

y = -x² + 6x - 1

General Formulas and Concepts:

Algebra I

Standard Form: ax² + bx + c = 0Expanding by FOIL (First Inside Outside Last)Combining like terms

Step-by-step explanation:

Step 1: Define equation

y = -(x - 3)² + 8

Step 2: Rewrite

Expand [FOIL]:                    y = -(x² - 6x + 9) + 8Distribute -1:                        y = -x² + 6x - 9 + 8Combine like terms:           y = -x² + 6x - 1

Which of the following is a factor of 7x2 - 12x - 4? (6 points)
O 7x - 2
O x + 2
Ox-4
O None of the above

Answers

Answer:

We conclude that 'None of the above' is the correct answer.                    

Step-by-step explanation:

Given the expression

[tex]7x^2\:-\:12x\:-\:4[/tex]

Breaking the expression into groups

[tex]7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)[/tex]

Factor out [tex]x[/tex] from [tex]7x^2\:+\:2x[/tex]

[tex]=x\left(7x+2\right)[/tex]

Factor out -2 from [tex]\left(-14x-4\right)[/tex]

[tex]=-2\left(7x+2\right)[/tex]

so the expression becomes

[tex]7x^2\:-\:12x\:-\:4=\left(7x^2+2x\right)+\left(-14x-4\right)[/tex]

                         [tex]=x\left(7x+2\right)-2\left(7x+2\right)[/tex]

Factor out the common term [tex]7x+2[/tex]

                         [tex]=\left(7x+2\right)\left(x-2\right)[/tex]

Therefore, from the given options, we conclude that 'None of the above' is the correct answer.                    

1. Grab the vertical line on the left distribution (Sampling Distribution of the Mean) and drag it until the vertical line on the right distribution (Sampling Distribution of Corresponding z) is at 1.959. What is the probability to the right of the vertical line

Answers

Answer:

The answer is "0.025".

Step-by-step explanation:

Please find the graph in the attached file.

Given value:

[tex]\to Z= 1.959\\\\\to P(right \ of 1.959) = P(z>1.959)[/tex]

                               [tex]=1-p(z\geq 1.959)\\\\=1-0.975\\\\=0.025[/tex]

Which of the following methods would provide a voluntary response sample?

A.

B.

C.

D.

Answers

Answer:

The Answer is D

Step-by-step explanation:

A survey of every 10th person leaving a large shopping mall. I hope im right this question was tricky though. Hope it helps :)


Convert the fraction to a decimal using an equivalent fraction.
4/5


Answers

Answer:

.8

Step-by-step explanation:

4/5 multiplied by 2 is 8/10, which is equivalent to .8

After converting the number 4/5 into decimal, the number is 0.8.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

Fraction = 4/5

So, Write an equivalent fraction as;

⇒ 4/5

Multiply by 2 in denominator and numerator;

⇒ 4×2 / 5×2

⇒ 8 / 10

⇒ 0.8

Learn more about the fraction visit:

brainly.com/question/5454147

#SPJ2

A trencher digs 5m in 4 hours. How long will it take to dig 30m

Answers

Answer:

24 hours, in other words a whole day

Step-by-step explanation:

30m / 5m = 6

4hrs x 6 = 24hours

Therefore, to dif 30m it will take 24 hours.

What does the point (1, 18) represent?

Answers

Answer:

1 on the x axis, and 18 on the y axis

Step-by-step explanation:

I will give u 50 points and brainlest pls help

Answers

Answer:

The bicyclist rides 72 miles in 4 hours

Step-by-step explanation:

The vertical axis represents the number of miles while the horizontal axis is the duration. The intersecting point is the time and distance taken hence 72 miles in 4 hours.

Answer:

if you know this or not but 5  points is not 50

Step-by-step explanation:

jay is attending physical therapy after knee surgery he walked 4 2/3 miles over 3 days how many miles is the per day simplilfy the answer as a mixed number

Answers

Answer:

1 5/9 miles per day

Step-by-step explanation:

(4 2/3)/3 = 1 5/9

What is the length of CD? What is the length of C’D’? What is the measure of B? What is the measure of B’? What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’?

Answers

Answer:

What is the length of CD? (6 units)

What is the length of C’D’?(4 units)

What is the measure of B? (90 degrees)

What is the measure of B’? (90 degrees)

What is the scale factor for the reduction of rectangle ABCD to produce rectangle A’B’C’D’? (2/3)

Step-by-step explanation:

Plz sub 2 my utube channel i post unreleased music

its called: lol bro crazy mexican

Answer:

In order

6 Units

4 Units

90 Degrees

90 Degrees

2/3

Step-by-step explanation:

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