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damaskus [11]
3 years ago
5

In triangle JKL,the length of side JK is 12 feet, and the length of side KL is 15 feet. What is the length of side JL?

Mathematics
1 answer:
Natalija [7]3 years ago
6 0

Answer:

Length of side JL = 9ft

Step-by-step explanation:

Triangle JKL is a right angle triangle where side kl = hypotenuse= 15ft

And side jk = opposite= 12 ft

We are looking for side JL = adjacent

According to Pythagoras theorem

A² = B² + C²

15² = 12² + C²

225= 144 + C²

225-144 = C²

81= C²

9 = C

Length of side JL = 9ft

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Answer:

Their are no possible factors for this expression.

Step-by-step explanation:

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3 years ago
Given y = a(x - h)^2 + k, p = <br> A. a <br> B. 4a <br> C. 1/4a
Flauer [41]

9514 1404 393

Answer:

  C.  1/(4a)

Step-by-step explanation:

We assume you're comparing the vertex form ...

  y = a(x -h)^2 +k

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  y = 1/(4p)(x -h)^2 +k

That comparison tells you ...

  a = 1/(4p)

  p = 1/(4a) . . . . . . multiply by p/a; matches choice C

__

<em>Additional comment</em>

When using plain text to write a rational expression, parentheses are needed around any denominator that has is more than a single constant or variable. The order of operations requires 1/4a to be interpreted as (1/4)a. The value of p is 1/(4a).

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  p=\dfrac{1}{4a}

8 0
2 years ago
D (5,7) <br> E (4,3)<br> F (8,2)<br> Form the vertices of a triangle. <br> What is m
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7 0
3 years ago
Please help
lubasha [3.4K]

Let us check series : -10 /-2 = 5 -50/-10 = 5

so it is a geometric series with a= -2 and r= 5

sum formula for n terms of geometric series = a ( r^n -1 ) /( r-1)

here we find S5 that is n= 5 = -2 ( 5^ 5 - 1) /( 5-1)

= -2 ( 3125 -1) / 4 = -1562

second series is : 1.5/1 = 1.5 2.25/1.5 = 1.5

this is also geometric series but n = 12 a= 1 and r= 1.5

we use same formula

S12 = 1 ( (1.5) ^12 -1) /( 1.5-1) =

128.74 / 0.5 = 257.49

Last is 2/1= 2 4/2 = 2 8/4 = 2 so r = 2 a = 1 and n = 12

we use same formula 1 ( 2^12 - 1) / (2-1)

= 4095

Answers : -1562 , 257.49 , 4095

8 0
3 years ago
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Answer:

9

Step-by-step explanation:

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