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2 years ago

(7+√5)√5-(7+√5)7 how to solve this question

Mathematics

1 answer:

SSSSS [86.1K]2 years ago

3 0

Answer:

-44

Step-by-step explanation:

<u><em>Using distribute property of multiplication</em></u>

=> $7\sqrt{5} + (\sqrt{5} )^2-49-7\sqrt{5}$

( $7\sqrt{5}$ will be cancelled with each other)

=> 5 - 49

=> -44

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20 points!!

ANEK [815]

See below for the proof of the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

<h3>How to prove the equation?</h3>

The equation is given as:

$\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$

Take the LCM

$\frac{(ax + by)(x - y) -(ax - by)(x + y)}{(x + y)(x - y)}= 2(a - b)$

Expand

$\frac{ax^2 - axy + bxy - by^2 -ax^2 - axy + bxy + by^2}{(x + y)(x - y)}= 2(a - b)$

Evaluate the like terms

$\frac{-2axy + 2bxy }{(x + y)(x - y)}= 2(a - b)$

Rewrite as:

$\frac{-2axy + 2bxy }{x^2 - y^2}= 2(a - b)$

Factorize the numerator

$\frac{2(a - b)(x^2 - y^2)}{x^2 - y^2}= 2(a - b)$

Divide

2(a - b)= 2(a - b)

Both sides are equal

Hence, the equation $\frac{ax + by}{x + y} - \frac{ax - by}{x - y}= 2(a - b)$ has been proved

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5 0

2 years ago

Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of

vaieri [72.5K]

We want to find a graph that represents Noah's average speed.

We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:

s = 12ft/6s = 2ft/s

Then we can define a linear equation:

y = (2ft/s)*x

As the distance that Noah travels in x seconds.

The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.

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2 years ago

A triangle with 7,?, and form a right triangle.

Vlad1618 [11]

9514 1404 393

Answer:

C 24

D 25

Step-by-step explanation:

Consider the choices offered:

5 and 7 will not form a triangle* with any of the other lengths

7 and 12 will not form a triangle with any of the other (longer) lengths

7 and 24 will form a triangle with the other possibilities, 25 and 29. (needs further consideration)

7 and 25 will not form a right triangle with 29, because a right triangle cannot have 3 odd-length sides.

<em>Further consideration</em>

7^2 +24^2 = 49 +576 = 625 = 25^2 . . . . checking Pythagorean theorem

The side measures 7, 24, 25 will form a right triangle.

_____

* A triangle can be formed from three segments only if the sum of the shortest two exceeds the length of the longest one.

6 0

2 years ago

I need the answers please help me help me help me<br>

Katena32 [7]

Answer:

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Step-by-step explanation:

8 0

3 years ago

Please help!! Will mark brainliest!!

Alla [95]

Answer:

Step-by-step explanation:

pythagorean theorem

6^2+8^2=d^2

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7 0

2 years ago

(7+√5)√5-(7+√5)7 how to solve this question​

(7+√5)√5-(7+√5)7 how to solve this question