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Tpy6a [65]
2 years ago
5

How many units are there between point A (-3,80) and point B (-3,12)

Mathematics
1 answer:
Dmitrij [34]2 years ago
8 0

Answer:

68 units

Step-by-step explanation:

Given:

  • Point A = (-3, 80)
  • Point B = (-3, 12)

As the x-values of points A and B are the same (x = -3), the line through points A and B is vertical.

Therefore, to find the distance between the two points, simply subtract the y-value of point B from the y-value of point A:

\sf distance=y_A-y_B=80-12=68 \ units

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Which of the following is the complete list of roots for the polynomial function f (x) = (x squared 6 x 8) (x squared 6 x 13)? –
Sunny_sXe [5.5K]

The roots of the given polynomial function is {-4, -2, -3 + 2i, -3 - 2i}.

<h3>How to get the roots of the polynomial?</h3>

Here we have the polynomial function:

f(x) = (x^2 + 6x + 8)*(x^2 + 6x + 13)

So we just need to find the roots of the two quadratic functions, to do that, we use Bhaskara's formula.

For the first one, we have:

x = \frac{-6 \pm \sqrt{6^2 - 4*8} }{2} \\\\x = \frac{-6 \pm 2}{2}

So the two solutions are:

x = (-6 - 2)/2 = -4

x = (-6 + 2)/2 = -2

For the second quadratic we have:

x = \frac{-6 \pm \sqrt{6^2 - 4*13} }{2} \\\\x = \frac{-6 \pm 4i}{2}

So the two solutions are:

x = -3 + 2i

x = -3 - 2i

Finally, the list is:

{-4, -2, -3 + 2i, -3 - 2i}

If you want to learn more about polynomials:

brainly.com/question/4142886

#SPJ4

8 0
3 years ago
Let triangle $DEF$ be equilateral, where the side length is $3.$ A point $G$ is chosen at random inside the triangle. Find the p
noname [10]

Answer:

13.43%

Step-by-step explanation:

see the attached figure to better understand the problem

we know that  

The probability that a point selected a random in triangle has distance from D to 1 or less is given by the area of the sector divided by the area of triangle

step 1

Find the area of sector

A_1=\frac{60}{360}\pi r^{2}

we have

r=1\ unit

substitute

A_1=\frac{60}{360}\pi (1)^{2}

A_1=\frac{\pi}{6}\ unit^{2}

step 2

Find the area of triangle

Applying the law of sines

The area of an equilateral triangle is equal

A_2=\frac{1}{2}b^2sin(60^o)

we have

b=3\ units\\\\sin(60^o)=\frac{\sqrt{3}}{2}

A_2=\frac{1}{2}(3)^2(\frac{\sqrt{3}}{2})

A_2=9\frac{\sqrt{3}}{4}\ units^2

step 3

Find the probability

P=\frac{A_1}{A_2}

substitute

P=\frac{\pi}{6}:9\frac{\sqrt{3}}{4}

P=\frac{4\pi}{54\sqrt{3}}

assume

\pi =3.14

P=\frac{4(3.14)}{54\sqrt{3}}=0.1343

Convert to percentage

P=0.1343*100=13.43\%

8 0
4 years ago
Write pqqqqrr in exponential form.
ANEK [815]

p^1

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Is this what your asking for and also can you please mark me as brainlist. Thank you

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2 years ago
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You are riding a train. Your carry-on bag can weigh no more than 50 pounds. Your bag weighs 38 pounds.
Sladkaya [172]

Answer:

Let the additional weight that can be added be = x

Current weight of the bag = 38 pounds

Total weight can be = 50 pounds

The equation becomes:

38+x < or equal 50

x < or equal 50-38=12

Hence, a weight of 12 pounds cab be added to the current wight.

6 0
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Tresset [83]
Joe's age- 22
James's age- 12

Hope I helped you! 
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3 years ago
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