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Alika [10]
4 years ago
15

Mario writes the equation (x+y)2=z2+4(12xy)(x+y)2=z2+4(12xy) to begin a proof of the Pythagorean theorem.

Mathematics
2 answers:
avanturin [10]4 years ago
7 0

Answer:

1) (x+y)^2

2) z^2+4(1/2xy)

Step-by-step explanation:

<u>( x + y )^2</u> finds the area of the outer square by squaring its side length.

<u>z²  + 4( 1/2xy )</u>  finds the area of the outer square by adding the area of the inner square and the four triangles.

Verizon [17]4 years ago
3 0

Answer:

Step-by-step explanation:

( x + y ^)2 finds the area of the outer square by squaring its side length.

z²  + 4( 1/2xy )  finds the area of the outer square by adding the area of the inner square and the four triangles.

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A leak in a pool causes the height of the water to decrease by 0.25 foot over 2 hours After the leak is fixed, the height of the
vesna_86 [32]

Answer:

Step-by-step explanation:

5 feet

Since the height of the water is 4.75 feet, the equation is

4.75 = x + (-0.25)

To solve, add 0.25 to each side:

4.75+0.25 = x+(-0.25)+0.25

5.00 = x

3 0
3 years ago
Evaluate the following when a= 1 ,b=3,and c =27 ( a) 6a^2+ 2bc-2c^1/3​
Dennis_Churaev [7]

Answer:

6a^2+ 2bc-2c^1/3 <u>= 162</u>

Step-by-step explanation:

  • a = 1
  • b = 3
  • c = 27

\rm 6 {a}^{2}  + 2bc - 2 {c}^{ \frac{1}{3} }

= 6 {(1)}^{2}  + 2(3)(27) - 2( {27)}^{ \frac{1}{3} }

\rm  = 6 + 162 - 2 ( \sqrt[3]{27} )

\rm  = 168 - 2(3)

\rm = 168 - 6

\boxed{\rm  = 162}

5 0
3 years ago
carly walks 30 feet in seven seconds. At this rate, how many minutes will it take for carly to walk a mile if there are 5,280 fe
LenaWriter [7]

Answer:

20.53 minutes

Step-by-step explanation:

Speed = Distance/Time = 30/7

Time = Distance / Speed

= 5280/30/7

= 1232 seconds / 60 = 20.53 minutes

Answered by Gauthmath

4 0
3 years ago
Create an equivalent ratio to 5:2 by multiplying both sides by 2.<br> What is the equivalent ratio?
skelet666 [1.2K]

Answer:

10/4

Step-by-step explanation:

Randomthing2143 is right

8 0
3 years ago
Read 2 more answers
Using each picture or description of a triangle, write and solve an equation.
3241004551 [841]

Answer:

Step-by-step explanation:

All angles in a triangle add up to 180º, so we can make this equation.

7x-2+5x-10+4x=180

Combine like terms

16x-12=180

Add 12

16x=168

Divide

x=16.5

4 0
3 years ago
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