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maksim [4K]
3 years ago
9

What is the value of y ?

Mathematics
1 answer:
Galina-37 [17]3 years ago
4 0
The rhombus has four equal sides ⇒  JK=ML=KL
4x-8 = x+13
4x - x = 13 + 8
3x = 21
x = 7
ML = x+13 = 7 + 13 = 20

KL=ML ⇒
6y+2 = 20
6y = 20-2
6y = 18
y = 18/6
y = 3

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Answer:

4

Step-by-step explanation:

Hurley drank between 4 and 5 liters of water for 8 different days and drank between 1 or 2 liters of water on 4 different days. To find the answer we have to use the following equation.

# of days Hurley drank (4-5 L) - # of days Hurley drank (1-2 L) = # of more days

8 - 4 = 4

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cleft%20%5C%7B%20%7B%7Ba%5E2%20-2a-b%5E2%3D0%7D%20%5Catop%20%7B2b%2B2ab%3D0%7D%7D%20%5Cright
oksian1 [2.3K]

Given :-

  • a² - 2a - b² = 0
  • 2b + 2ab = 0

To find :-

  • Value of a and b .

Solution :-

<u>Taking</u><u> </u><u>second</u><u> </u><u>equation</u><u>:</u><u>-</u>

  • 2b + 2ab = 0
  • 2b ( 1 + a ) = 0
  • 2b = 0 or (1+a) = 0
  • b = 0 , a = -1

<u>Substitute</u><u> </u><u>in </u><u>first </u><u>equation</u><u> </u><u>:</u><u>-</u><u> </u>

  • a² - 2a - b² = 0

<u>When </u><u>b </u><u>=</u><u> </u><u>0</u><u> </u><u>,</u>

  • a² - 2a - 0² = 0
  • a² - a = 0
  • a( a -1) =0
  • a = 0 , 1

<u>When </u><u>a </u><u>=</u><u> </u><u>-</u><u>1</u><u> </u><u>,</u>

  • (-1)² - 2*(-1) - b² = 0
  • 1 + 2 - b² = 0
  • b² = 3
  • b = ±√3

<u>Answer </u><u>:</u><u>-</u><u> </u>

  • a = 0,1 ; b = 0
  • a = -1 , b = ±√3
8 0
3 years ago
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