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Tamiku [17]
3 years ago
5

Find the value of x. Round the answer to the nearest tenth, if needed.

Mathematics
1 answer:
Dafna1 [17]3 years ago
4 0
Let the other 2 unknown sides be y n z

look at the two smaller triangles inside

y^2 = 12^2 + x^2   and

z^2 = 21^2 + x^2

from the biggest triangle

(12+21)^2 = y^2 + z^2

substituting

(12+21)^2 = (12^2 + x^2) + (21^2 + x^2)

33^2 = 12^2 + 21^2 + 2x^2

2x^2 = (33^2 - 12^2 - 21^2)/2 = 504

x^2 = 252

x = 15.9

ans is B
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Use the discriminant to describe the roots of each equation. Then select the best description. 2m2 + 3 = m.
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The roots of the equation , 2m^{2}+3=m, are non real roots.

<h3>Discriminants are what?</h3>

The quadratic formula's discriminant is represented by the square root symbol b^{2}-4ac. If there are two solutions, one solution, or none at all, the discriminant informs us.

As of now, 2m²+3=m we need to find the kind of roots they have.

2m²+3=m

2m²-m+3=0

Here, we can derive the following values from the equation:

a = 2, b = -1, c = 3

An equation's discriminant is stated as:

D = b²-4ac

D = (-1)(-1) - 4(2)(3)

D = 1 - 24

D = -23

Discriminant can determine the kind of roots that the equation contains.

In this instance, the discriminant is below 0.

The equation's roots are complex conjugates when D < 0.

Hence the roots for the equation are non real roots.

To get more information about discriminant follow the link:

https://brainly.in/question/27214502

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A large pool has a faucet to allow water to enter the pool and a drain to allow water to leave the pool.
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The graph of which of the following equations contains the points (2,3) and (3,2)
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Answer:

y = 5 - x

Step-by-step explanation:

The graph of the equation that will contain the points (2, 3) and (3, 2) is the graph that has a slope value that is equivalent to the slope value of the line running through the two points.

Slope of the line running through (2, 3) and (3, 2):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 3}{3 - 2} = \frac{-1}{1} = -1.

Slope (m) = -1.

The equation, y = 5 - x , is given in the slope-intercept form, which means it has a slope value of -1. I.e. the term "-x" is equivalent to -1x. So therefore, the graph of the equation that contains the points (2, 3) and (3, 2) is y = 5 - x.

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The volume of a sphere is V=4/3 pie r 3
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A. 288pi in^3

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