Find the distance between points F(5, 3) and G(2, -7). Round to the nearest hundredth.

Answers

Answer 1

Answer:

10.44 units (nearest hundredth)

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } [/tex]

Distance between F and G

[tex] = \sqrt{(3 - ( - 7))^{2} + (5 - 2)^{2} } \\ = \sqrt{ {(3 + 7)}^{2} + {3}^{2} } \\ = \sqrt{ {10}^{2} + 9 } \\ = \sqrt{109} \\ = 10.44 \: units \\ (nearest \: hundredth)[/tex]


Related Questions

Help please I don’t know the answer and the teacher didn’t explain

Answers

Answer:

Step-by-step explanation:

[tex]\frac{-4d^{2}+15d^{2}}{5}=\frac {11d^{2}}{5}\\\\=\frac{11*1^{2}}{5}\\\\=\frac{11}{5}\\\\=2\frac{1}{5}[/tex]

Plz I need it now I am stuck

Answers

Answer:

116

Step-by-step explanation:

Find the height of triangle whose are is 1500m2 and base 7.5 cm

Answers

Answer:

x = 400 m^2

Step-by-step explanation:

[tex]\frac{1}{2}(7.5cm * x) = 1500m^2 \\\frac{1}{2}(7.5cm * x) = 150,000cm^2 \\7.5cm * x = 300,000cm^2 \\x = 40,000 cm^2\\x = 400 m^2[/tex]

Write an expression that represents the height of a tree that begins at 2 feet and increases by 3
feet per year. Please help

Answers

Answer:

2+3x

Step-by-step explanation:

2 is starting height. 3 is multiplier of how much it increases per year. x is the number of years

Does anyone understand?? Consider the set {2, 1, 3, 4}. How many proper subsets could be formed from this set?

Answers

If a set contains ‘n’ elements, then the number of proper subsets of the set is 2^n - 1.

In this problem,

n = 4

2^4 - 1 = 16 - 1 = 15 proper subsets

Adam was learning to play a new a board game. He spun the spinner 5 times, and each time it landed on "Go back 4 spaces." How did the position of Adam's game piece change over these 5 spins?

Answers

It changed by -20, because 5 x -4 is -20

Answer: -20 spaces

Step-by-step explanation:Hello! I hope this helped you out :)

Complete each equation with a number that makes it true.4 * ____ = 36 * 1 point 5 * ___ = 1 *

Answers

Answer:

9 and 1/5

Step-by-step explanation:

4*9=36

5*(1/5)=1

Answer:

4*_9_=36   1  point 5 _0.5__=1

Step-by-step explanation:

okay all u have to do is 36 divided by 4 is 9. 1.5 __0.5__ =1.0

Which one is it? Help

Answers

The answer would be letter B.

Find variable of b + 25 = b —25

Answers

Answer:

There is no solution

Step-by-step explanation:

Simplifying

b + 25 = b + -25

Reorder the terms:

25 + b = b + -25

Reorder the terms:

25 + b = -25 + b

Add '-1b' to each side of the equation.

25 + b + -1b = -25 + b + -1b

Combine like terms: b + -1b = 0

25 + 0 = -25 + b + -1b

25 = -25 + b + -1b

Combine like terms: b + -1b = 0

25 = -25 + 0

25 = -25

Solving

25 = -25

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

Answer:

There are no values of b no solution that makes the equation true.

Step-by-step explanation:

Simon is making a poster about friendship in his art class. He divides his poster into 3 equal parts. Simon writes the names of his friends all over each part. Simon uses 1 part for his neighborhood friends and 1 part for his friends from school.
What fraction of the poster does Simon use for his friends from school?

Answers

Answer:

1/3

Step-by-step explanation:

The most important thing to remember is that the poster is divided into three equal parts and 1 part of it is for his neighborhood friends and another one part of it is for his friends from school. The denominator would be three and the numerator would be the 1 part he uses for his friends from school.


A scale drawing of a rectangular garden has sides that measure 12 inches by 18 inches. The scale of the drawing is 1 inch =
is the area of the actual garden

Answers

Answer:

area is 216

Step-by-step explanation:

a speck of dust is 1.2 x 10^-6m wide. Which of the following is the best way to rewrite this quantity, using more appropriate units? I will Make you brainiest to the first one who answers it. A. 1.2 x 10^-4 b.1.2 x 10^-6 c.1.2 x 10^-3 d 1.2 x 10^-9

Answers

Answer:C 1.2x 10^-6

Step-by-step explanation:

Sparkle Cleaners uses 2 3 of a jug of window cleaner in 3 weeks. How much window cleaner do they use in 1 week? Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer:

7⅔ window cleaner

Step-by-step explanation:

23 =3w

x= 1w

3x =23

x= 7⅔ window cleaner

Use the piecewise function to evaluate the following.
1.
(-2x² – 1,
X2
2
-
4,
X2
5
a. f(0) =
b. f(5) =
c. f(2)=
d. f(-3) =

Answers

I think B BUT IM NOT SURE

If BD=7x-10, BC=4x-29,and CD=5x-9 what is x ?

Answers

From the question, we know that the sum of BC and CD equals BD.

BD = BC + CD = 7x - 10

BC = 4x - 29

CD = 5x - 9

Let's set BC and CD equal to BD

4x - 29 + 5x - 9 = 7x - 10

Combine like terms on the left side.

9x - 38 = 7x - 10

Add 38 to both sides and subtract 7x from both sides.

2x = 28

Divide both sides by 2

x = 14

Answer:

Step-by-step explanation:

Hope this helps

Which expression is a representation of the following:
+4
-7
A.4+ (-7) = - 3
B.7-4=3
C.4 + 7 = 11
D.4 + (-7) = 3

Answers

The correct expression is A.

1. Evaluate f(x) = 3x - 1 at f(2) 2. Evaluate f(x) at f(-5) -6 f(x) 3 4 -5 -4 -5 3 3 Evaluate f(x) at (0)​

Answers

Answer:

5

Step-by-step explanation:

3(2)-1

6-1

5

Answer:

5

Step-by-step explanation:

3(2)-1

6-1

5

4(5x – 9) = -2(x + 7) solve and justify each step

Answers

Step-by-step explanation:

4(5x-9)=-2(x+7)

4*5x-4*9=-2*x-2*7

20x-36=-2x-14

20x+2x=-14+36

22x=22

x=22/22

x=1

I need help pls! :/ anyone know the answer to this?

Answers

Answer:

I think it is a

Step-by-step explanation:

Help with the ones marked in red.

Answers

Answer:

number 5 is 22

Step-by-step explanation:

The answer to 2 is 22. And distributive property

I need help please please

Answers

MN, OP, MO, NP, MP. all with the line segment symbol.

19. A car rental agency charges $250 per week plus $0.45 per mile to rent a car. How many miles can you
travel in week for $587.50? Let x represent the number of miles travelled.

Answers

$587.50 - $250 =$337.50 / $0.45 = 750 miles

X = 750

Cual es el perímetro de un rectángulo, si se sabe que el largo mide 6 cm y su ancho, 4 cm?

Answers

Answer:

20

Step-by-step explanation:the trabslation is 'whats the perimiter of a rectanglr if its lenght is 6cm and its width is 4cm'

what is good for your health

Answers

Answer:

Exercise, 8 hrs of sleep, healthy diet with lots of fruits and vegetables are all good for your health

Step-by-step explanation:

HELP ME PLEASE DUE IN 5 MIN

Answers

Answer:

Step-by-step explanation:

im pretty sur ethe answer is 58... i havent done this is 3 yeras so if its wrong sorry

Angle B = 90 in triangle ABC. BM is altitude to AC. AB = 10 and AM = 2.5. Find MC

Answers

Answer:

MC =37.5

Step-by-step explanation:

In [tex] \triangle ABC,\: \angle B = 90\degree [/tex] and [tex] BM \perp AC.[/tex]

[tex] \therefore \angle AMB = 90\degree [/tex]

By Pythagoras Theorem:

[tex]AM^2 + BM^2 = AB^2 \\

BM^2 = AB^2 - AM^2 \\ BM^2 = {10}^{2} - {2.5}^{2} \\ BM^2 = 100 -6.25 \\ \red{BM^2 = 93.75} \\ now \: by \: geometric \: mean \: theorem : \\ BM^2 =AM \times MC \\ 93.75 = 2.5\times MC \\MC = \frac{93.75}{2.5} \\ \huge \orange{ \boxed{ MC =37.5}} \\ [/tex]

NEED HELP WITH THIS!

Answers

Answer: See below

Step-by-step explanation:

a.

To solve for h, we want to use algebraic properties to isolate h.

[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex]                [multiply both sides by 2]

[tex]2A=h(b_1 +b_2)[/tex]                 [divide both sides by b₁+b₂]

[tex]\frac{2A}{b_1+b_2} =h[/tex]

[tex]h=\frac{2A}{b_1+b_2}[/tex]

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

b.

To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.

Answer:

h=2A/(b1+b2)

and

b2=2A/h-b1.

a seven sided number cube with sides numbered 1,2,3,4,5,6,7 is rolled. what is the probability that a 4 or odd number is rolled ? which fraction ? 5/7 2/7 3/7 4/49

Answers

The probablity of rolling a 4 = 1/7

There are 4 odd numbers, so the probablity of rolling an odd number = 4/7

4/7 + 1/7 = 5/7

A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two
sets of data?
3
O median
O mode
mean
• skandard deviation

Answers

Answer:

He would use mean as a statistic to compare the spread of the two sets of data.

Step-by-step explanation:

What is mean?

Arithmetic Mean represents a number that is obtained by dividing the sum of the values of a data set by the total number of values

What is statistic?

A statistic (singular) or sample statistic is any quantity computed from values in a sample which is considered for a statistical purpose.

The mean takes into account the whole spread of the data among the various statistic and is helpful in comparing data.

To know more about mean, statistic here

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Answer:

D. standard deviation

Step-by-step explanation:

100% on edge

Solve 3x -12 = 24.
Please help!

Answers

Answer:

12

Step-by-step explanation:

3x - 12 = 24

Add 12 to both sides to make 3x the subject of the equation.

3x - 12 (+12) = 24 (+12)

3x - 0 = 36

3x = 36

Divide both sides by 3.

3x/3 = 36/3

x = 12

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The required solution to the given equation 3x -12 = 24 is x = 12.

What is the algebraic equation?

Algebraic equations are mathematical statements with a minimum of two terms containing variables or numbers that are equal.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The given equation is given in the question

⇒ 3x - 12 = 24

Add 12 to both sides of the above equation

⇒ 3x - 12 (+12) = 24 (+12)

⇒ 3x - 0 = 36

Apply the subtraction operation,

⇒ 3x = 36

Divide both sides by 3.

⇒ 3x/3 = 36/3

⇒ x = 12

Therefore, the required solution to the given equation 3x -12 = 24 is x = 12.

Learn more about the equations here:

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