Using the Distance Formula and the Pythagorean Theorem, find the distance, to the nearest tenth, from F (5,5) to G (−3,−1).

Answers

Answer 1

Answer:

The answer is 10 units

Step-by-step explanation:

The distance between two points can be found by using the formula

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

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

F (5,5) , G (−3,−1)

The distance between them is

[tex] |FG| = \sqrt{( {5 + 3})^{2} + ({5 + 1})^{2} } \\ = \sqrt{ {8}^{2} + {6}^{2} } \\ = \sqrt{64 + 36} \\ = \sqrt{100} \: \: \: \: \: \: \: \: \\ = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

We have the final answer as

10 units

Hope this helps you

Answer 2

Distance formula: d = √(x2-x1)²+(y2-y1)²

= √(x2-x1)²+(y2-y1)²

= √(-3-5)²+(-1-5)²

= √-8²+(-6)²

= √64+36

= √100

= 10

Best of Luck!


Related Questions

What is the slope of the line with the coordinates (0,0) and (-4,7).

Answers

Answer:

Slope = -7/4

Step-by-step explanation:

Let's find the slope between your two points.

(0,0) ; (−4,7)

(x1,y1) = (0,0)

(x2,y2) = (−4,7)

Use the slope formula:

m = y2−y1 / x2−x1

= 7−0/−4−0

=7/−4

= −7/4

Answer:

m= −7/4

Hope this helps!!

The sum of 9 and the quotient of x and 7 is 11

Answers

Answer:

Expression: 9 + x/7=11

x=14

Step-by-step explanation:

The expression would 9 + x/7=11 because it says the sum of 9 and the quotient of x and 7. Quotient means the answer to a division problem, and sum means the answer to an addition problem.

x=14 because when you subtract 9 from both sides of the equation, you will get x/7=2

Then, 7*2=14, so that is why x=14

Hope this helps!

You are making a picture frame in shop class. Two pieces of wood are cut to form complementary angles so they fit together properly . One angle needs to be (2x +23) and the other angle needs to be (3x +27). What is the measure of the larger angle?​

Answers

Answer:

Step-by-step explanation:

The measure of the ​angles are 51° and 39°.

What is a complementary angle?

When the sum of two angles is equal to 90 degrees, they are called complementary angles. For example, 30 degrees and 60 degrees are complementary angles.

Given:

Two pieces of wood are cut to form complementary angles.

One angle needs to be (2x +23) and the other angle needs to be (3x +27).

We have to find the measure of the larger angle?.

According to given question we have

Two angles are complementary when their sum is equal to 90°.

So, ( 2x + 23 ) + ( 3x + 27 ) = 90°

5x + 50° = 90°

5x=40°

x = 8°

Putting value of x in the angles given :

( 2x + 23 )° = 2(8°) + 23° = 39°.

( 3x +27 )° = 3(8°) +27° = 51°.

Therefore, the measure of the ​angles are 51° and 39°.

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NEED ANSWER ASAP PLEASE! Which quantity is the input and which is thw output? How do you know?

Answers

Answer:

input is the side length, out put is the permineter

Step-by-step explanations

cuz, equation:

p=4^(s)

3 ratios equivalent to 16:12

Answers

Answer:

8/6 , 4/3 , 32/24

Step-by-step explanation:

Answer:

just like the other one said 8/6 4/3 32/24

The value of n is a distance of 2 units from -1 on a number line. Which numbers could be the value of n? Choose all that apply. A.-3 B.-2 C.-1 D.0 E.1 F.2 G.3

Answers

Answer:

A and E

Step-by-step explanation:

A and E because

-1 + 2 = 1

and

-1 - 2 = -3

18.194 rounded to the hundreths

Answers

Answer:

18.94

Step-by-step explanation:

18.19

Because 4 is bellow 5 so you can’t round up

Vanessa is creating centerpieces for a reception. Each centerpiece will consist of eight flowers arranged around one
candle. Vanessa will create 20 of these centerpieces. Each candle costs $6.00, and each flower costs $1.50. What is the
final cost of the centerpieces?

Answers

Answer:

Step-by-step explanation: 120.00

Solve 8w-3r=45 for r. Show your work.

Answers

Answer:

r = 8/3w − 15

Step-by-step explanation:

Let's solve for r.

8w−3r=45

Step 1: Add -8w to both sides.

−3r+8w+−8w=45+−8w

−3r=−8w+45

Step 2: Divide both sides by -3.

−3r/−3 = −8w+45/−3

the height of an experimental plant after x days can be represented by the formula 3(4x+2). The height of a second plant can be represented by the formula 6(2x+2). Is it possible that the two plants will ever be the same height?Expain.

Answers

Answer:

no, the plants will not be the same height.

Step-by-step explanation:

if you distribute 3 into the parenthesis (4x+2) it will give you 12x+6. if you distribute the other equation, 6 into the parenthesis (2x+2) it will give you 12x+12.

Question 3
Find the point P that partitions the line segment AB given the ratio.
A(3,5) B(4, 3) with the ratio 2:1
Your answer:
O (11/3, 4)
O (4,11/3)
O (5,8)
O (10, 1275)
Clear answer
N

Answers

Answer:

I think 1

I think 2

I think 3

I think 4

Which statement must be true.

Answers

A is the correct statement

HELP ME !!!
A.What is the slope of line b ?
B.What is the slope of line d?

Answers

Answer:

The slope to line a is 2,3

The slope to line b is 2,4

Step-by-step explanation:

Line b= -4/5 or -0.8
Line d= undefined

Please help me solve this

Answers

Answer:

the answer is -147.0192379. I can't transfer it into a radical, I tried. it might be the -2 one though only because of the negative

Answer: last one

Step-by-step explanation:

last one

If the restaurant bill is $21.60, and I want to leave a 15% tip for my waitress, how much money should I leave for the tip?

Answers

Answer:

$3.24

Step-by-step explanation:

lanie is saving money to buy a car. she saved $225 so far. she earns $293 every month. How many months until lanie has saved $2030? round your answer to the nearest month.​

Answers

Your answer would be 5.16 months, the answer rounded would be FIVE MONTHS.


a. Write an expression that represents the total cost of large pizza. let t = # of toppings.

b. Brust orders an “everything” pizza with 8 toppings. use your expression to find the total cost of the pizza.

c. Kelly and Bean show up and order 4 identical pizzas. write an expression that represents the total cost for the 4 pizzas. (each pizza would have the same # of toppings.)

d. Kelly and Bean order sardines and pineapple on the 4 pizzas. use your expression from (c) to find the total cost of the 4 pizzas.

Answers

Answer:

a). Total cost of one pizza = 14.99 + 1.99t

b). $30.91

c). Cost of 4 pizza = 59.96 + 7.96t

d). Total cost of 4 pizza with 2 toppings = $75.88

Step-by-step explanation:

a). Cost of the large pizza = $14.99

    Each topping of the pizza is $1.99 extra.

    If total number of layers of the toppings = t

    Total cost of one pizza = 14.99 + 1.99t

b). Brust orders a pizza with number of toppings = 8

    From the given expression,

    Total cost of pizza = 14.99 + 1.99(8)

                                    = 14.99 + 15.92

                                    = $30.91

c). Kelly and Bean ordered number of identical pizzas = 4  

   Expression that represents the cost of 4 pizzas = 4(14.99 + 1.99t)

                                                                                   = 59.96 + 7.96t

d). Kelly and Bean order 4 pizzas with sardines and pineapple. That means 2 toppings on one pizza.

   Cost of 4 pizza with toppings = 59.96 + 7.96×2

                                                     = $75.88  

2617 rounded to the nearest hundred

Answers

Answer:2600Step-by-step explanation:This is because you have to look at the in the hundred place. then look at the one to the right of it. If the number is more than 5 you will add 100 if not it will stay at 2600.Hope this helps, have a great day, stay safe, and positive!!:)

Answer:

2600

Step-by-step explanation:

Rewrite the addition of the groups as a multiplication of groups (-4) + (-4) + (-4) + (-4) + (-4) =

Answers

Answer:

5(-4)

Step-by-step explanation:

(-4) + (-4) + (-4) + (-4) + (-4) =

A jug has a maximum capacity of 16 liters. It's filled to 45% of its capacity, and then poured out at a rate of 60 ml/s. Which of the following expressions models the volume remaining in the jug, in liters, after 'seconds?
a. 7.2 - 0.06x
b. 16 - 0.06x
c. 7200 - 60x
d. 16000 - 60x​

Answers

Answer:

c is the answer

Step-by-step explanation:

-6m+5p+7+8m-10
Help me

Answers

Answer:

add like terms the simplified answer is 2m+5p-3

Step-by-step explanation:

lmk if it is not supposed to be simplified

2m+5p-3, add like terms

point U is on line segment TV . given TU=4 UV=5x and TV=3x+6 determine the numerical lenth of TV

Answers

Using the segment addition postulate, the numerical length of TV is: 9 units.

What is the Segment Addition Postulate?

According to the segment addition postulate, if U lies between line segment TV, therefore:

TV = TU + UV

Plug in the values:

3x + 6 = 4 + 5x

Solve for x

3x - 5x = 4 - 6

-2x = -2

x = 1

TV = 3x + 6 = 3(1) + 6

TV = 9 units

Learn more about the segment addition postulate on:

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la diferencia de la temperatura máxima de 23 y mínima de 12 ​

Answers

La temperatura del aire medida con un termómetro de máximo-mínimo se puede usar para mostrar la diferencia de temperatura durante un período de tiempo, generalmente un día. La diferencia entre el máximo diario y el mínimo diario se denomina rango diurno.

haga clic en las estrellas y haga clic en gracias

por favor responde esta pregunta

¿Por qué la línea es el rey de la jungla?

Find the equivalent number. (will mark the brainliest and youĺl be loved)

Answers

Answer:

B. 9

Step-by-step explanation:

So when solving a question like this, you may try to find what 3⁴ is and what 3² is and divide, but there is a much easier way to do this. Remember:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}[/tex]

This can be used to find [tex]\frac{3^{4}}{3^{2}}[/tex] without finding what 3⁴ is. This is how we would do it:

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

And now we get the solution, 9, which is answer choice B.

I hope you find my answer helpful.

In a shopping mall, there are 30 stands selling clothes, which accounts for 1/3 of the total stands. How many stands are there?

Answers

Hello................

2. Write 1.68 as a simplified fraction

Answers

[tex]1 \frac{68}{100 } [/tex]

Evaluate. 5x{(9 +2) X (6 + 3)} + 15​

Answers

Answer:15(3x11^+1)

Step-by-step explanation:

The answer is :15(3x11^+1)

Five more than twice a number is forty three. What is the algebraic expression

Answers

the answer would be 5 + 2n = 43

Answer:

the answer would be 5 + 2n = 43

Step-by-step explanation:

A bag holds 12 red marbles, 11 green marbles, 17 blue marbles, and 5 yellow marbles. What is the probability that you will NOT choose a blue marble?

Answers

The probability that you will NOT choose a blue marble is 28/45.
45 because there are 45 marbles in total 12+11+17+5=45
And then 28 because you add all the marbles that are NOT blue 12+11+5=28

Please help me out hereeee

Answers

Answer: A is your answer

Step-by-step explanation:

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