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telo118 [61]
2 years ago
7

Can someone explain how to do this?

Mathematics
1 answer:
Over [174]2 years ago
3 0

Answer:

Step-by-step explanation:

The two legs of an iscosles right triangle are equal. The sides opposite each 45 degree angle are equal.  

6^2 + 6^2 = x^2

36 + 36 = x^2

x^2 = 72

sqrt(x^2) = sqrt(72)

x = 6√2

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How to find slope intercept form with one point and the slope?
andre [41]
Slope intercept form is y = mx + b...ur slope will be in the m position and ur y int will be in the b position

examples : slope = 2 , (1,3)....x = 1 and y = 3

y = mx + b
slope(m) = 2
(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 2(1) + b
3 = 2 + b
3 - 2 = b
1 = b

so in slope intercept form, ur equation is : y = 2x + 1
================
another example : slope = 3 , (-2,-4)

y = mx + b
slope(m) = 3
(-2,-4)...x = -2 and y = -4
now sub and find b, the y int
-4 = 3(-2) + b
-4 = - 6 + b
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2 = b
so ur equation is : y = 3x + 2

7 0
2 years ago
Expand the function f(x)=(3x+2)^4 with the binomial theorem, not factored
lozanna [386]

Step-by-step explanation:

Enter a problem...

Algebra Examples

Popular Problems

 

Algebra

 

Expand using the Binomial Theorem (3x+2)^4

(3x+2)4(3x+2)4

Use the binomial expansion theorem to find each term. The binomial theorem states (a+b)n=n∑k=0nCk⋅(an−kbk)(a+b)n=∑k=0n⁡nCk⋅(an-kbk).

4∑k=04!(4−k)!k!⋅(3x)4−k⋅(2)k∑k=04⁡4!(4-k)!k!⋅(3x)4-k⋅(2)k

Expand the summation.

4!(4−0)!0!⋅(3x)4−0⋅(2)0+4!(4−1)!1!⋅(3x)4−1⋅(2)+4!(4−2)!2!⋅(3x)4−2⋅(2)2+4!(4−3)!3!⋅(3x)4−3⋅(2)3+4!(4−4)!4!⋅(3x)4−4⋅(2)44!(4-0)!0!⋅(3x)4-0⋅(2)0+4!(4-1)!1!⋅(3x)4-1⋅(2)+4!(4-2)!2!⋅(3x)4-2⋅(2)2+4!(4-3)!3!⋅(3x)4-3⋅(2)3+4!(4-4)!4!⋅(3x)4-4⋅(2)4

Simplify the exponents for each term of the expansion.

1⋅(3x)4⋅(2)0+4

Hope this helps!

8 0
2 years ago
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What number will the function return if the input is 15.4?
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The rule of the function is to multiply the input by 3, since one yard is equal in length to three feet.

So, if the input is 15.4, the output will be

f(x)=3x \implies f(15.4)=3\cdot 15.4 = 46.2

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Help me please! Thanks
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Hope this helps! have a nice day/night

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Kelko, Boris, and Hong have a total of $83 in their wallets. Hong has 2 times what Boris has. Kelko has $7 more than Boris. How
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Hong has $38. Boris has $19. Kelko has $26

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