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Finger [1]
2 years ago
10

Find the factored form of the expression. Use radicals or i as needed. 6x^2+150=0

Mathematics
1 answer:
nikklg [1K]2 years ago
4 0
Answer: x1=-5i; x2=5i

Explanation:
6x^2+150=0
6(x^2+25)=0 (divide with 6)
x^2+25=0
x^2=-25
x= square root of -25
x1,2= +-5i
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Answer:

The coordinates of the point b are:

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Step-by-step explanation:

Given

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m(x, y) = m (-7, -2.5)

The other point a is given by

a(x₁, y₁) = a(-9, -4)

To determine

We need to determine the coordinates of the point b

= ?

Using the midpoint formula

\left(x,\:y\right)=\left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)

substituting (x, y) = (-7, -2.5), (x₁, y₁) = (-9, -4)

\left(-7,\:-2.5\right)=\left(\frac{x_2+\left(-9\right)}{2},\:\:\frac{y_2+\left(-4\right)}{2}\right)

Thus equvating,

Determining the x-coordinate of b

[x₂ + (-9)] / 2 = -7

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adding 9 to both sides

x₂ - 9 + 9 = -14 + 9

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[y₂ + (-4)] / 2 = -2.5

y₂ + (-4) = -2.5(2)

y₂ - 4 = -5

adding 4 to both sides

y₂ - 4 + 4 = -5 + 4

y₂ = -1

Therefore, the coordinates of the point b are:

b(x₂, y₂)  = (-5, -1)

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