The coordinates of the vertices of AJKL are J(0, 2), K(3, 1), and L(1, – 5). Drag and drop the choices into each box to correctly complete the sentences.

9514 1404 393

Step-by-step explanation:

The slope formula is useful.

  m = (y2 -y1)/(x2 -x1)

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JK slope = (1 -2)/(3 -1) = -1/3

KL slope = (-5-1)/(1-3) = -6/-2 = 3

JL slope = (-5-2)/(1-0) = -7

We observe that slopes (-1/3) and (3) have a product of -1, so those line segments are perpendicular. The triangle is a right triangle.

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