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Pavlova-9 [17]
3 years ago
13

Find the distance between the points given. (-3, 2) and (9, -3) √(61) √(37)

Mathematics
1 answer:
cricket20 [7]3 years ago
8 0

Answer:

d=13.

Step-by-step explanation:

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

From question statement, x_{1} =-3   ,x_{2} =9

y_{1} =2  ,y_{2} =-3

put above values in the distance formula,we obtain

d=\sqrt{(9-(-3))^{2}+(-3-2)^{2}}

d=\sqrt{(12)^{2}+(-5)^{2}}

d=\sqrt{144+25}

d=\sqrt{169}

d=13


You might be interested in
Multiple Choice
Zanzabum

A) Answer: A. 22.5 cm, 30 cm, and 37.5 cm


Setting the unity measurement as x, the three sides will be 3·x, 4·x, and 5·x. The sum of the three sides will be (3 + 4 + 5)·x = 12·x; this corresponds to the perimeter, therefore:

12·x = 90 cm


We can solve for x:

x = 90 / 12 = 7.5 cm


Hence, the sides will be:

7.5 · 3 = 22.5 cm

7.5 · 4 = 30 cm

7.5 · 5 = 37.5 cm


This situation is represented in option A (which is also the only option whose sides add up to 90).



B) Answer: C. never true


We have:

6 + 8x - 9 = 11x + 14 - 3x


Bring all the terms with x on the left, by subtracting from both sides 11x and -3x, and all the numbers on the right by subtrcting from both sides 6 and -9:

6 + 8x - 9 - 11x - (-3x) - 6 - (-9) = 11x + 14 - 3x - 11x - (-3x) - 6 - (-9)


Cancel out the opposite terms from each side:

8x - 11x + 3x = 14 - 6 + 9


Combine likely terms:

0x = 17


Now you should ask yourself: what number multiplied by zero gives 17 as a result? The answer is none because a number multiplied by zero always equals zero.


Hence, the statement is never true.


C) Answer: r \leq \frac{1}{5}


We have:

5r + 4 ≤ 5


Subtract 4 from both sides:

5r + 4 - 4 ≤ 5 - 4


Combine likely terms:

5r ≤ 1


Divide both sides by 5:

\frac{5r}{5} \leq \frac{1}{5}

r \leq \frac{1}{5}


To graph the set of solutions, you need to set:

y₁ = 5x + 4 and

y₂ = +5


Plot these two lines:

y₂ is a horizontal line at a height of 5;

y₁ is a line passing through (0, 4) and (1, 9)


The set of solutions will be the part of the graph in which y₁ lies underneath y₂ (see picture attached), that happens for x \leq \frac{1}{5}.





4 0
2 years ago
Read 2 more answers
Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his
Alborosie

Answer: 8t+581

Step-by-step explanation:

<h3> The complete exercise is: "Omar works as a tutor for $15 an hour and as a waiter for $7 an hour. This month, he worked a combined total of 83 hours at his two jobs. Let "t" be the number of hours Omar worked as a tutor this month. Write an expression for the combined total dollar amount he earned this month."</h3><h3 />

Let be "t" the number of hours Omar worked as a tutor this month and "w" the number of hours Omar worked as a waiter this month.

Based on the data given in the exercise, you know that Omar worked a combined total of 83 hours this month.

Then, you can represent the number of hours he worked as a waiter this month with this equation:

w=83-t

Since he earns  $15 per hour working has a tutor and $7 per hour working as a waiter, you can write the following expresion to represent the total money earned:

15t+7w

Since w=83-t, you can substitute it into the expression and then simplify it in order to find the final expression that represents the total amount of money Omar earned this month.

This is:

15t+7(83-t)=15t+581-7t=8t+581

4 0
3 years ago
PLS HELP PLS I BEG U PLS
kherson [118]

Answer: IXL

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
13) To finanace her first car, Maria takes out a
Elodia [21]
$300

3%=.03 of something
Find .03 of 10000
10000x.03=$300
5 0
3 years ago
Read 2 more answers
3. Find the value of a and b when<br>5+√6/5-√6 = a+b√6​
mr Goodwill [35]

The answer for A is,

a = 5 +  \frac{ \sqrt{6} }{ \sqrt{5} }  -  \sqrt{6}  -  \sqrt{6b}

And the answer for B is,

b = - 1 +  \frac{5 +  \frac{ \sqrt{6} }{ \sqrt{5} } - a  }{  \sqrt{6} }

hope it helps.

sorry of its wrong.

4 0
3 years ago
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