Can someone answer what the value of x is

9514 1404 393

  x = 9

Step-by-step explanation:

The midline is half the length of the base, so we have ...

  2×DE = AB

  2(4x +1) = 11x -25

  8x +2 = 11x -25 . . . . eliminate parentheses

  27 = 3x . . . . . . . . . . .add 25 -8x

  9 = x . . . . . . . . . . . . . divide by 3

The value of x is 9.

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Check

DE = 4x +1 = 4(9) +1 = 37

AB = 11x -25 = 11(9) -25 = 74 . . . twice 37 as it should be

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15