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Katena32 [7]
3 years ago
5

Which of the following is part of a line that has two endpoints?

Mathematics
1 answer:
yarga [219]3 years ago
3 0
The answer is C.) line segment
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Factor completely: 3x2 + 12x + 7
zepelin [54]

Answer:

Step-by-step explanation:

Eliminate answer 4 immediately, because (4)(3) is not 7.

Look at answer 2:  7x + 3x = 10x, which does not match the middle term 12x in the original polynomial.  Eliminate answer 2.

Look at answer 1:  1x + 21x = 22x, which does not match the middle term of the original polynomial.   Eliminate answer 1.

All quadratics have solutions.  Let's apply the quadratic formula to 3x^2 + 12x + 7:  Here a = 3, b = 12 and c = 7, so that the discriminant b²-4ac is

12²-4(3)(7), or 144 - 84, or 60.  Being positive, this tells us that the given poly has two real, unequal roots:

      -12 ± √60        -12 + 2√15                     -12 - 2√15

x = ----------------- = -------------------  and   x = --------------------

            3                         3                                     3

Normally, if c is a root, then x - c is a factor.

If we try this here, however, the resulting factors do not at all match any of your answer choices.

Don't be offended...but please ensure you have copied this problem down correctly.

                                                           

3 0
3 years ago
F(x) = x². What is g(x)?
Simora [160]

g(x) is the inverse of f(x)

f(x) = {x}^{2}

g(x) =  \sqrt{x}

8 0
2 years ago
Find the area of the figure.EXPlAIN THE STEPS!!!!
hichkok12 [17]

Answer:

30.56 yd²

Step-by-step explanation:

To determine the area of the composite shape, we need to:

  1. Divide the shape into two smaller "known" shapes (Refer to image).
  2. Determine the area of those "known" shapes.
  3. Add the area of the known shapes to obtain the area of the figure.

<u>Determining the area of shape 1 (Rectangle 1):</u>

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 2.1 × 4.8

⇒                               = 10.08 yd²

<u>Determining the area of shape 2 (Rectangle 2):</u>

⇒ Area of rectangle = Lenght × Breadth

⇒                               = 6.4 × 3.2

⇒                               = 20.48 yd²

<u>Determining the area of the figure:</u>

⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2

⇒                         = 10.08 + 20.48

⇒                         = 30.56 yd²

6 0
2 years ago
You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial am
mezya [45]
B I really believe you just got to read it carefully
5 0
3 years ago
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What's 5.96 as a fraction
monitta
5 and 96/100 or if you need to simplify 5 and 24/25
6 0
3 years ago
Read 2 more answers
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