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3 years ago

If g ( x ) = 5 − 3x², find g(-2) =

Mathematics

2 answers:

Juli2301 [7.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

g(-2) = 5 - 3(-2)^2 = 5 - 3(4) = 5 - 12 = -7

lianna [129]3 years ago

4 0

Answer:

g(-2)=-7

Step-by-step explanation:

start by replacing x with -2

g(-2)=5-3(-2)^2

-2^2 is 4 so

g(-2)=5-3(4)

g(-2)=5-12

g(-2)=-7

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Find the perimeter of the triangle with vertices A(negative 2,2,3), B(4,negative 4,3), and C(7,6,4).

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Answer:

$P\approx 28.872\,\text{units}$

Step-by-step explanation:

We are given coordinates of each of the vertices of the triangle ABC, hence we can use the distance formula to find the lengths of each of the side.

the distance formula is generally written as:

$r = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

for the side AB: A(-2,2,3) and B(4,-4,3)

$AB = \sqrt{(-2-4)^2+(2-(-4))^2+(3-3)^2}$

$AB = \sqrt{(-6)^2+(6)^2+(3-3)^2}$

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$BC = \sqrt{(4-7)^2+((-4)-6)^2+(3-4)^2}$

$BC = \sqrt{110}$

for the side CA: C(7,6,4) and A(-2,2,3)

$CA = \sqrt{(7-(-2))^2+(6-2)^2+(4-3)^2}$

$CA = \sqrt{98}$

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to find the perimeter we need to just sum the three side lengths:

$P = AB + BC + CA$

$P = \sqrt{72} + \sqrt{110} + \sqrt{98}$

$P\approx 28.872\,\text{units}$

this is the perimeter of triangle ABC

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