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Lunna [17]
3 years ago
5

3(x+2)^2=48 with word steps

Mathematics
2 answers:
lesya692 [45]3 years ago
8 0

Answer:

Divide both sides by 3.

(x+2)^2=16

Square root both sides.

x+2= ± 4  (plus OR minus, can be either so we have to include both)

Minus 2 from both sides.

x=-2 ± 4

Add and minus the 4 to -2.

x = -2-4 = -6 and x=-2+4 = 2

Nutka1998 [239]3 years ago
7 0

Answer: x = -6, x = 2

Step-by-step explanation:

3(x+2)^2 = 48

(X+2)^2 = 16 —> divide both sides by 3.

(X+2) = 4 or -4 —> take square root. Remember plus or minus!

X + 2 = 4 —> make (x+2) equal to 4.

X = 2 <— solution.

X + 2 = -4 —> make (x+2) equal to -4.

X = -6 <— solution.

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Step-by-step explanation:

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Find the length of the segment with endpoints of (3, 2) and (-3, -6).
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The distance between (3, 2) and (-3, -6) is 10 units

The correct answer is B) 10

Further explanation:

Given points are:

(x1,y1) = (3,2)

(x2,y2)=(-3,-6)

The distance formula is given by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Putting the values

d=\sqrt{(-3-3)^2+(-6-2)^2}\\=\sqrt{(-6)^2+(-8)^2} \\=\sqrt{36+64}\\ =\sqrt{100}\\d=10

The distance between (3, 2) and (-3, -6) is 10 units

Keywords: Magnitude, Distance

Learn more about magnitude at:

  • brainly.com/question/12876715
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3 years ago
7x−4≥−15+2x solve in interval notation
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Answer:

[-11/5,∞)

Step-by-step explanation:

1. Add 4 to both sides: 7x-4+4≥-15+2x+4

2. Simplify: 7x≥2x-11

3. Subtract 2x from both sides: 7x-2x≥2x-11-2x

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Nimfa-mama [501]

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