What is the distance between points F(2, 11) and G(5, 16)? Round off to the nearest whole number

Answers

Answer 1

Answer:

           d = 5

Step-by-step explanation:

[tex]d_{FG}=\sqrt{(x_G-x_F)^2+(y_G-y_F)^2}\\\\d_{FG}=\sqrt{(5-2)^2+(16-11)^2}=\sqrt{3^2+4^2}=\sqrt{25}=5[/tex]


Related Questions

Solve for X. x squared = 49 show your work

Answers

Answer:

+ 7 or - 7

Step-by-step explanation:

x^2 = 49

x = (49)^1/2     (1/2 means nothing but square root)

x = + or - 7

I said this answer because you square 7 and -7 and still get 49

Find f(k - 1) when f(x) = 5x^2+ 4x – 5.

Answers

Plug in [tex]k-1[/tex] to each [tex]x[/tex] in the function.

[tex]f(k-1)=5(k-1)^2+4(k-1)-5[/tex]

[tex]f(k-1)=5(k^2-2k+1)+4k-4-5[/tex]

[tex]f(k-1)=5k^2-10k+5+4k-4-5[/tex]

[tex]f(k-1)=5k^2-6k-4[/tex]

Hope this helps.

頑張って!

f(k-1) = 5k² - 4k - 4

The given function is:

f(x) = 5x² + 4x - 5

To find f(k-1), substitute x = k-1 into f(x)

f(k-1) = 5(k-1)² + 4(k-1) - 5

f(k-1) = 5(k² - 2k + 1) + 4k - 4 - 5

f(k -1) = 5k² - 10k + 5 + 4k -9²

Collect like terms

f(k-1) = 5k² - 10k + 5k + 5 - 9

Simplify

f(k-1) = 5k² - 4k - 4

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Solve the equation below

Answers

The answer is b1 = 2A/h-b2

Answer:

A)2A/h-b2

Step-by-step explanation:

A=h(b1+b2)/2

2A=b1h+b2h

2A-b2h=b1h

b1=2A-b2h/h

b1=2A/h-b2h/h

b1=2A/h-b2

Hope it is helpful for you

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and mark me the brainest PLEASE

The highest ever recorded temperature on earth was 136°F in the US and the lowest was − ° 129 F in Antarctica. What is the difference of these temperatures recorded on Earth?

Answers

Answer:

136 + 129= 265

Step-by-step explanation:

when you're finding the difference and one number is positive and the other is a negative number you will add the negative instead of add them together so you would 129 to 136 which would equal 265. this rule applies to the opposite too. if both numbers are positive, then you would subtract them.

y+9÷2=y-3÷4-(y/3)
pls help​

Answers

Answer:

y = - [tex]\frac{63}{4}[/tex] or - 15.75

Step-by-step explanation:

Order of operations.

y + [tex]\frac{9}{2}[/tex] = y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Subtract y from each side.

y - y + [tex]\frac{9}{2}[/tex] = y - y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] =  - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]   Add [tex]\frac{3}{4}[/tex] to each side

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]    Find the common denominator for [tex]\frac{9}{2}[/tex] and [tex]\frac{3}{4}[/tex], which is 4

[tex]\frac{9}{2}[/tex] * [tex]\frac{2}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{18}{4}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{21}{4}[/tex] = - [tex]\frac{y}{3}[/tex]   Multiply each side by 3

[tex]\frac{21}{4}[/tex]  * 3 = - [tex]\frac{y}{3}[/tex] * 3

[tex]\frac{63}{4}[/tex] = - y      Divide each side by -1

y = - [tex]\frac{63}{4}[/tex] = - 15 [tex]\frac{3}{4}[/tex]

y = - 15.75

Step-by-step explanation:

There are 2 scenarios below. One without parenthesis and the second with. I believe the second one is your question.

y+9÷2=y-3÷4-(y/3)y - y + y/3 = - 3/4 - 9/2               ⇒ combining like termsy/3 = -3/4 - 18/4y/3 = -21/4y = -21/4*3y = -63/4y = - 15 3/4

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

(y+9)÷2=(y-3)÷4-(y/3)12*(y+9)/2 = 12* (y-3)/4 - 12*y/3      ⇒ this is to get rid of fraction6(y+9) = 3(y-3) - 4y6y + 54 = 3y - 9 - 4y6y + 54 = - y - 96y + y = - 9 - 547y = - 637y/7 = -63/7y = -9

I need to find the slope of the line

Answers

Answer:

4/1

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

because if you go from one point to the next, it is 4 up and 1 across, therefore 4/1, or 4 :)

on a random Monday in the spring, 95% of students are present at school. if there are 589 students present, then how many students are enrolled?​

Answers

Answer:

620

Step-by-step explanation:

95% × 620 =

(95 ÷ 100) × 620 =

(95 × 620) ÷ 100 =

58,900 ÷ 100 =

589;

plz help me im crying ​

Answers

Answer:

B

Step-by-step explanation:

You just do 113,000 - 71,500= 41,500

the answer is b .....;)

A movie theater sends out a coupon for ​90% off the price of a ticket. Write an equation for the​ situation, where y is the price of the ticket with the​ coupon, and x is the original price of the ticket.

Answers

Y=x-0.9x

For example, if the ticket is $10 (x=$10):
Y=10-10(0.9)
Y=10-9, Y=$1

5.4 x 28.7 =
What is the answer

Answers

Answer:

154.98

Step-by-step explanation:

Answer:

155(estimated to 3 s.f)   154.98(exact value)

Step-by-step explanation:

Very nice question bro

Round each decimal number to the nearest tenth. Then, select the best estimate for the addition equation 3.14 + 0.62 = ___.

Answers

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___.

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Step 2

Solve the addition equation

= 3.1 + 0.6

= 3.7

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___...........

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Help with this math problem 4/3•5/2

Answers

Answer:

The answer is 10/3 or 3 1/3

Step-by-step explanation:

Hope this helps

How many intersecting planes are there in a cube?

Answers

Answer: a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

Step-by-step explanation:

Answer:

The cube has nine symmetry planes. Three planes lie parallel to the side squares and go through the centre (picture). Six planes go through opposite edges and two body diagonals. They divide the cube into prisms

Solve the absolute value equation [x] - 2 = 5 to find the distance Mary can walk forward, x, in
5 seconds.
x = 7 m and x = -7 m
x=-3 m and x = 7 m
x = -7 m and x = 3 m
x = 3 m and x = -3 m

Answers

Answer:

the answer is x=7 and x=-7

Step-by-step explanation:

Use the distributive property to find the value of 8(10 + 9).
152
82
89
97

Answers

The answer is 89 because you distribute the 8 to the 10 and then to the 9. 80+9=89
152 because 8x10=80 and 8x9=72 so 80+73=152

Subtitution .HELP ME

Answers

Answer:

x = 2

y = 3

Step-by-step explanation:

x = 3y - 4

5x + 2y = 31 in the second equation replace x with 3y - 4

5 (3y - 4 ) + 2y = 31 multiply 5 with inside the parenthesis

15y - 20 + 2y = 31 add like terms

17y = 51

y = 3

Now, since we found the value of y we can use it to calculate x

x = 3y - 4

x = 3×3 - 4

x = 2

help solve this please

Answers

Answer:

h=18/7

Step-by-step explanation:

2/21=h/27

21 h=54

h=54/21 common factor 3

h=18/7

four and five thousand three ten-thousandths
Write the number

Answers

Answer:

4.0503

Step-by-step explanation:

Simplify the equation -4(2x-4)

Answers

Answer:

-8x + 16

Step-by-step explanation:

This is called expanding brackets in algebra

1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside      

-4 x 2x = 8x

-4 x -4 = 16

Write the equation of the line that is parallel to the line y = 3/2 x + 5 and passes through the point (4,1).

Answers

Answer:

m=3/2

y-1=3/2(x-4)

y-1=3/2 x-6

y=3/2 x -5

Step-by-step explanation:

slope of tangent line is equal to slope of line that parallel

9x10^7 is how many times as large as 3x10^3

Answers

9x10^7

10x10=100x10=1,000

1,000x10=10,000

10,000x10=100,000

100,000x10=1,000,000

1,000,000x10=10,000,000

10,000,000x9=90,000,000

3x10^3

10x10=100x10=1,000

1,000x3=3,000

90,000,000/3,000=30,000

So 9x10^7 is 30,000x larger than 3x10^3

hope it helps!

9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

What is Exponents?

The number of times a number has been multiplied by itself is referred to as an exponent.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Given:

9x [tex]10^7[/tex]

The number [tex]10^7[/tex] can be expanded as

[tex]10^7\\[/tex] = 10,000,000

and, 9x [tex]10^7[/tex] = 9 x 10,000,000

                   = 90,000,000

The number [tex]10^3[/tex] can be expanded as

[tex]10^3[/tex] = 1000

and, 3 x 10³ = 3 x 1000

                   = 3000

Then, 90,000,000/3,000

      =30,000

Hence, 9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

Learn more about Exponents here:

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what is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?

Answers

Answer:

5 2/5

Step-by-step explanation:

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

so

x = (2 1/4) * (3 3/5) / (1 1/2)

Write the expression for the perimeter of the triangle below.Simplify.Must show work(Formula for Perimeter is P=S+S+S)​

Answers

Answer:

4x

Step-by-step explanation:

P = S + S + S

P = x + x + 3 + 2x - 3

P = 4x

three more than five times the number of dogs find the algebraic expression

Answers

Answer: 5x+3

Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.

• Cowes 5 dollars.
• D has 10 more dollars than E.
• F has 8 more dollars than E.
. E has no money and owes no money.
• A is the opposite of D.
• B has 4 dollars less than D.
(a) A =
(c) C =
(e) E-
(b) B =
(d) D =
(f) F =

Answers

A) -10
C) -5
E) 0
B) 6
D) 10
F) 8

Which function has an inverse that is also a function?
{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

Answers

Answer:

A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Step-by-step explanation:

I just did the quiz but basically you can switch the coordinates around to view the coordinates of the inverse function. If there are x values that are the same number, it does not pass the line test making it not a function with an inverse function.

The function has an inverse that is also a function will be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.

In other words, the function is a relationship between variables and the nature of the relationship.

In the given question

We know that a function is only a function such that there is a unique value of y corresponding to x.

An inverse function will only be a function if the function which is going to be inverse is a function.

In option (A) all value of x corresponding to y are different but in  all remaining options the values are repeating hence that will be not a function since only (A) has to inverse

For more about the function

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A skier is trying to decide whether or not to buy a season ski pass a daily pass cost $63 a season ski pass cost $350 to scare would have to rent skis with either a pass for $25 per day how many days with the skier have to go skiing in order to make the season pass less expensive than the daily pass

Answers

Answer:

um

Step-by-step explanation:

The ratio of boys to girls in a classroom is 15 to 12. What is the ratio of boys to total students in the classroom.

Answers

Answer:

Step-by-step explanation:

15 boys  + 12 girls = 27 students

15:27 = 5:9

First, add to find total number of students.

15 + 12 = 27

Second, create the new ratio.

15 to 27

Best of Luck!

could somebody please help me graph this function?? 40 points <3

Answers

Answer:

root (0,0)

domain x= all reall numbers

range y= all real numbers

Vertical intercept (0,0)

Two numbers have a sum of 2 and a difference
of -16. What are the numbers?

Answers

Answer:

-7 & 9

Step-by-step explanation:

(-7) + 9 = 2

(-7) - 9 = -16

x + y = 2

x - y = -16

Add the equations together to eliminate one of the variables.

2x = -14

Divide both sides by 2

x = -7

Let's plug -7 into x for our first equation.

-7 + y = 2

Add 7 to both sides.

y = 9

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