1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
larisa [96]
4 years ago
15

Please help me. Thanks! :)

Mathematics
1 answer:
elena-s [515]4 years ago
3 0

Answer:

<h3><u>Required Answer</u><u>:</u><u>-</u></h3>
  • R (-1,5)
  • S (-3,1)
  • T (-7,3)
  • V (-5,7)

{:}\leadsto\sf RS=\sqrt {(-3-1)^2+(1-5)^2}

{:}\leadsto\sf \sqrt {(-4)^2+(-4)^2}

{:}\leadsto\sf \sqrt {16+16}

{:}\leadsto\sf \sqrt {32}

{:}\leadsto\sf RS=\sqrt{32}

<h2>____________________</h2>

{:}\leadsto\sf ST=\sqrt {(-7-3)^2+(3-1)^2}

{:}\leadsto\sf \sqrt {(-10)^2+(2)^2}

{:}\leadsto\sf \sqrt {100+4}

{:}\leadsto\sf ST={\sqrt{104}}

<h2>___________________</h2>

{:}\leadsto\sf TV=\sqrt {(-5-7)^2+(7-3)^2}

{:}\leadsto\sf \sqrt{(-12)^2+(4)^2}

{:}\leadsto\sf \sqrt {144+16}

{:}\leadsto\sf TV=\sqrt {150}

<h2>____________________</h2>

{:}\leadsto\sf RV=\sqrt {(-5-1)^2+(7-5)^2}

{:}\leadsto\sf \sqrt{(-6)^2+(2)^2}

{:}\leadsto\sf \sqrt {36+4}

{:}\leadsto\sf RV=\sqrt {40}

<h2>______________________</h2>

Perimeter =RS+ST+TV+RV

{:}\leadsto\sf \sqrt{32}+\sqrt {104}+\sqrt {150}+\sqrt {40}

{:}\leadsto\sf Perimeter =4\sqrt{20}

You might be interested in
Which expression is a sum of cubes?
erik [133]

we know that

A polynomial in the form a^{3} +b^{3} is called a sum of cubes

so

Let's verify each case to determine the solution

<u>case A)</u> -64x^{6} y^{12} +125x^{16} y^{3}

we know that

-64=-4^{3}

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{16}=x^{15} *x=x*(x^{5})^{3} -------> is not a perfect cube

y^{3}= (y)^{3}

therefore

the case A) is not a sum of cubes

<u>case B)</u> -32x^{6} y^{12} +125x^{16} y^{3}

we know that

-32=-2^{5} -------> is not a perfect cube

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{16}=x^{15} *x=x*(x^{5})^{3} -------> is not a perfect cube

y^{3}= (y)^{3}

therefore

the case B) is not a sum of cubes

<u>case C)</u> 32x^{6} y^{12} +125x^{9} y^{3}

we know that

32=2^{5} -------> is not a perfect cube

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{9}=(x^{3})^{3}

y^{3}= (y)^{3}

therefore

the case C) is not a sum of cubes

<u>case A)</u> 64x^{6} y^{12} +125x^{9} y^{3}

we know that

64=4^{3}

x^{6}= (x^{2})^{3}

y^{12}= (y^{4})^{3}

125=5^{3}

x^{9}=(x^{3})^{3}

y^{3}= (y)^{3}

Substitute

4^{3}(x^{2})^{3}(y^{4})^{3} +5^{3}(x^{3})^{3}(y)^{3}

(4x^{2}y^{4})^{3} +(5x^{3}y)^{3}

therefore

<u>the answer is</u>

64x^{6} y^{12} +125x^{9} y^{3} is a sum of cubes

6 0
3 years ago
Read 2 more answers
Pls help having a hard time understanding I just need the answers
Lisa [10]

Answer:

B

Step-by-step explanation:

Basically, you can rule out all of the other answers by the following criteria:

A is wrong because any y= equation without an x is just a straight horizontal line

C is wrong because any x= equation is just a vertical line

D is wrong because both lines shown are positive lines, and both equations in  answer D are negative

Therefore by process of elimination, the only answer that makes sense is B

4 0
3 years ago
How many solutions exist for the given equation? 3(x + 10) + 6 = 3(x + 12) zero one two infinitely many
NNADVOKAT [17]

For this case we have the following expression:

3 (x + 10) + 6 = 3 (x + 12)

We must rewrite both sides of the equation.

For this, we use the distributive property.

We have then:

3x + 30 + 6 = 3x + 36

Adding similar terms we have:

3x + 36 = 3x + 36

We observe that we have two equal equations.

Therefore, the equations intersect for any value of x.

Thus, the equation has infinite solutions.

Answer:

infinitely many

6 0
3 years ago
Read 2 more answers
4 days =____ hours<br><br><br> ????????????????????????
Dominik [7]

4 days = 96 hours.......

5 0
3 years ago
HELP ASAP!!! Write the following expression as a trinomial in standard form:<br><br> (x−2)2+4(x−2)+8
7nadin3 [17]
-4x + 2x +8
2x + 8
1x + 4
1/4
7 0
3 years ago
Other questions:
  • ANSWER QUICK PLEASE!!!!!!! 15 POINTS
    10·2 answers
  • If two figures are similar but not congruent, what do you know about the sequence of transformations used to create one from the
    5·2 answers
  • Q: The perimeter of triangle is 240. it sides are proportional to 3:4:5. The largest side of triangle is
    7·1 answer
  • The perimeter of a pool table is 30 feet. The table is twice as long as it is wide. What is the length of the pool table?
    7·1 answer
  • I don't know how to solve this
    8·2 answers
  • An integer N is less than its opposite. Which of the<br> following must be true of the integer?
    8·2 answers
  • ADE and ABC are similar.Which best explains why the slope of the line between points A and D is the same as the slopes between p
    15·2 answers
  • The value of 8 dimes is __________ % the value of a dollar.
    9·2 answers
  • 32 + 7 + 2 22 + 192 + 24 + 8 22 + 3 + 2 − 22 − 7 − 15 ÷ 2 − 2
    15·2 answers
  • Mr. McMillan and Ms. Burke are teaching their classes how to write in cursive. Mr. McMillan has already taught his class 8 lette
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!