All categories

3 years ago

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]3 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]3 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.

You might be interested in

Given the system of constraints name all vertices. Then find the maximum value of the given objective

larisa86 [58]

Answer:

$35$

Step-by-step explanation:

The constraints are

The red line represents the function

$y\leq \dfrac{1}{3}x+1$

At $y=0$

$0=\dfrac{1}{3}x+1\\\Rightarrow -1=\dfrac{1}{3}x\\\Rightarrow x=-3$

At $x=0$

$y=0+1\\\Rightarrow y=1$

Two points are $(-3,0),(0,1)$

The blue line represents the function

$5\geq y+x$

at $y=0$

$5=x$

at $x=0$

$y=5$

Two points are $(5,0),(0,5)$

The other two constraints are $x\geq 0$ , $y\geq 0$ . So, the point has to be in the first quadrant

From the graph it can be seen there are two points where the function will be maximum let us check them.

$(3,2)$

$7x-2y=7\times 3-2\times 2=17$

$(5,0)$

$7x-2y=7\times 5-2\times 0=35$

So, the maximum value of the function is $35$ .

3 0

3 years ago

A box has a length of 15 centimeters, a width of 22 centimeters, and a height of 9 centimeters. What is the surface area of the

Alex777 [14]

Answer: 1,326

Step-by-step explanation:

I just had this question and this was the right answer! Glad I could help! May I have brainliest?

4 0

3 years ago

jillian is trying to save water so she reuces the size of her square grass lawn by 8 ft on each side the area of the smaller law

dusya [7]

(x - 8)^2 = 144
take the sq rt of both sides
x - 8 = 12
x = 12 + 8
x = 20

20 feet by 20 feet

5 0

3 years ago

Read 2 more answers

1. Find the volume of a cone with a diameter of 14 cm and a height of 25 cm.

slega [8]

Answer:

V≈1282.82

Step-by-step explanation:

V=πr^2h

3=π·72·25

3≈1282.817

8 0

2 years ago

4 of 4

Vlada [557]

Answer:

£30

Step-by-step explanation:

Let Brian initially had money in his wallet = £x

and Colin had the money = £y

Since ratio of money in Brian's wallet to Colin's wallet was 5 : 1

Therefore,

⇒ x = 5y -------(1)

Brian spent £27 that day, so money left with him = £(x - 27)

After spending the money Brian had £3 less than Colin.

(x - 27) = (y - 3)

x = y + 27 - 3

x = y + 24 -------(2)

Now we equate the equations (1) and (2) for the value of x,

5y = y + 24

5y - y = 24

4y = 24

y = £6

From equation (2),

x = 6 + 24

x = £30

Therefore, Brian initially had £30.

i hope this helps

3 0

3 years ago