What is the discriminant of 3x^2 - 10 = -2?

1 answer:

7 0

The formula for the discriminant is b^2-4ac. The formula you wote is in the form of
ax^2+c=0, so first, you need to bring that -2 to the left. When you do that, you get (the original equation would be ax^2+bx+c but you have no bx.)

3x^2-8

So, since there's no b, it would be
b^2-4ac
0^2-4(3)(-8
-12 x -8
96

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-3x + 2y = 21 -4x + y = 23

Nady [450]

Answer:

2y = 3x + 21

y = 1.5x + 10.5

plug in, in the second equation

- 4x + (1.5x + 10.5) = 23

-4x + 1.5x + 10.5 = 23

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x = 12.5/-2.5 = -5

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A parallelogram has vertices (-3,4) (4,4)(2,-1) (-5,-1) on the coordinate plan what’s the area

Anon25 [30]

Answer:

Area of this parallelogram: 35.

Step-by-step explanation:

What's the equation for the area A of a parallelogram?

A = b · h,

where

b is the length of the base, and
h is the length of the height on that base.

Plot the four vertices on a cartesian plane. Two opposite sides of this parallelogram are parallel to the x-axis. As a result, the length of the base is the same as the difference in x-coordinates between two vertices on that side. As seen on the diagram, the length of this base is b = 2 - (-5) = 7.

The height on either of those two sides will be normal to the x-axis and parallel to the y-axis. The length of those heights will be the same as the difference in y-coordinates between two vertices, one on each line. As seen on the diagram, the length of the height on base b is h = 4 - (-1) = 5.

Area of this parallelogram:

A = b · h = 5 × 7 = 35.