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Georgia [21]
3 years ago
5

Find the distance between the points (-1,-2) and (5,2). Simplified radical form.

Mathematics
1 answer:
frozen [14]3 years ago
3 0

Answer:

2\sqrt{13}

Step-by-step explanation:

Using the distance formula,

\sqrt{( x_{2}-x_{1} )^2+(y_{2} -y_{1})^2 }

We just need to plug in the numbers.

So \sqrt{(-1-5)^2+(-2-2)^2}

Then we simplify it to

\sqrt{(-6)^2+(-4)^2} , to \sqrt{36+16}

Finally, we get

\sqrt{52}, which is 2\sqrt{13} when simplified.

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Estimate by rounding both numbers to hundreds and then divide.<br> 76 ÷ 57 is approximately
blondinia [14]

Answer:

80 / 60 = 1.3 approximately

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Lizzy is working two jobs to make money for a new car. She works 15 hours a week and earns 93$. She makes 5$ for each hour she b
kirill115 [55]

She worked 9 hours at baby-sitting and 6 hours at her parents store.

Step-by-step explanation:

Let,

Baby-sitting hours = x

Hours at parents store = y

Total hours = 15

Amount earned = $93

According to given statement;

x+y=15   Eqn 1

5x+8y=93   Eqn 2

Multiplying Eqn 1 by 5;

5(x+y=15)\\5x+5y=75\ \ \ Eqn 3\\

Subtracting Eqn 3 from Eqn 2;

(5x+8y)-(5x+5y)=93-75\\5x+8y-5x-5y=18\\3y=18

Dividing both sides by 3;

\frac{3y}{3}=\frac{18}{3}\\y=6

Putting y=6 in Eqn 1

x+6=15\\x=15-6\\x=9

She worked 9 hours at baby-sitting and 6 hours at her parents store.

Keywords: linear equations, subtraction

Learn more about linear equations at:

  • brainly.com/question/10699220
  • brainly.com/question/10703930

#LearnwithBrainly

6 0
3 years ago
1 2/5 x 1 1/4 simplify as much as possible right answer as a mixed number pls
Olenka [21]

7/5 x 5/4
= 1 3/4
One and three fourths
5 0
4 years ago
What is the answer in fraction form?<br><br>-4/3÷9/5=?
Katarina [22]

Answer:

-20/27

Step-by-step explanation:

-4/3 ÷ 9/5

= -4/3 * 5/9

= -20/27

Hope it helps :)

7 0
3 years ago
Read 2 more answers
1. 5 Burgers and 3 orders of fries cost $34. 4 Burgers and 4 orders of fries cost $32. How much does each burger and each order
Elena L [17]

Answer:

1.

a burger costs $5

an order of fries costs $3

2.

7 pennies

14 nickels

23 dimes

Step-by-step explanation:

x = price of a burger

y = price of a order of fries

5x + 3y = 34

4x + 4y = 32

=>

x + y = 8

x = 8-y

5×(8-y) + 3y = 34

40 - 5y + 3y = 34

-2y = -6

y = $3

x = 8 - 3 = $5

x = number of pennies

y = number of nickels

z = number of dimes

0.01×x + 0.05×y + 0.1×z = 3.07

y = 2x

x + y + z = 44

x + 2x + z = 44

3x + z = 44

z = 44 - 3x

0.01×x + 0.05×2x + 0.1×z = 3.07

0.11×x + 0.1×z = 3.07

0.11×x + 0.1×(44-3x) = 3.07

11x + 10×(44-3x) = 307

11x + 440 - 30x = 307

-19x = -133

x = 7

y = 2×7 = 14

z = 44 - 3×7 = 44 - 21 = 23

7 0
3 years ago
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