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belka [17]
3 years ago
13

Use segment addition postulate If k is the midpoint of JL, JK=8x+11 and KL = 14x-1, find JL

Mathematics
1 answer:
labwork [276]3 years ago
6 0
8x+11 =14x-1
x=2
plug 2 into the equations to find the lengths then add them
16+11=27=JK
28-1=27=KL
27+27=54
54=JL
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When 2x^3-3x^2+kx-1 is divided by x-1 the remainder is 2 find k?​
Romashka-Z-Leto [24]

Answer:

  k = 4

Step-by-step explanation:

The remainder theorem tells you that the remainder from division of f(x) by (x-1) is f(1). Evaluating the expression for x=1 gives ...

  2(1³) -3(1²) +k(1) -1 = 2 -3 +k -1 = k -2

We want this to be equal to 2, so ...

  k -2 = 2

  k = 4

7 0
3 years ago
what is the order from least to greatest - 4 with the exponent of 3, square root of 40, square root of 13, square root of 7, , 1
LuckyWell [14K]

Answer: -4^{3} , 14/9 , \sqrt{7} , \sqrt{13} , \sqrt{40}

Step-by-step explanation:

-4^{3} = - 64

\sqrt{40} = 6.32455532

\sqrt{13} = 3.605551275

\sqrt{7} = 2.645751311

14/9  = 1.555555556

Arranging from least to greatest , we have :

-4^{3} , 14/9 , \sqrt{7} , \sqrt{13} , \sqrt{40}

3 0
3 years ago
Movies are on sale for 34 the original price. If the original price is $10, what is the sale price?
Viefleur [7K]
Your Answer Is $7.50 Because 3/4 Of $10 Is $7.50

8 0
4 years ago
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How to factor 6x^2-48x-120
mamaluj [8]
Hello there!

Simply find a common term that they all have!

So they can all be divided by 6, right? So let's take a 6 out.

6 (x^2-8x-20)

Now factor the terms in the parenthesis!

6 (x-10) (x-2)

^ This is NOT your answer!!

Tip: When looking at (x^2-8x-20), look at the middle term. (-8x). Since it's negative, either (x-10) or (x-2) can be negative.

Which one is negative? Well, is the 8 positive or negative? Since the 8 is negative, the parenthesis bigger number (x-10) will be negative!

So it'll be:

6 (x-10) (x+2)

ALWAYS double check your answer by foiling! :)

Hope this helped!

-----------------------------

DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
6 0
4 years ago
Can someone please explain each step in solving this?
olga_2 [115]
M(<Q) = 90; m(<P) = 12; m(<x) = 180 - 90 - 12 => m(<x) = 78.    a.
3 0
4 years ago
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