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VMariaS [17]
3 years ago
6

X^3 4x^2 5x 20 factored by grouping

Mathematics
1 answer:
denpristay [2]3 years ago
6 0
Hello,
+++++++++++++++
x^3+4x²+5x+20=x²(x+4)+5(x+4)=(x+4)(x²+5)
++++++++++++++++++++++++++++++++++

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Find the coordinates of the third vertex that completes the construction of a right triangle on the coordinate plane.
Neko [114]

Answer:

<u>(7,a) Where a ∈ R - {7}</u>

<u>OR</u>

<u>(-2,a) where a ∈ R - {-2}</u>

Step-by-step explanation:

The coordinates of the given line from the right to the left are:

(7,1) and (-2,1)

So, to make a right triangle, we need to make a right angle or by another words, we need to a make a perpendicular line to the given line (i.e: a vertical line parallel to the y-axis at one of the given points)

So, the third vertex must be on the line x=7 or x=-2

So, the coordinates of the third vertex is:

<u>(7,a) Where a ∈ R - {7}</u>

<u>OR</u>

<u>(-2,a) where a ∈ R - {-2}</u>

3 0
3 years ago
Read 2 more answers
Point B is a point of tangency. Find the radius r of OC.<br> А 9<br> B<br> r<br> n
insens350 [35]

Answer:

Radius, r, is 3.75

Step-by-step explanation:

From the given diagram,

AB = 9

AC = 6 + r

BC = r

Thus applying the Pythagoras theorem, we have;

/AC/^{2} = /AB/^{2} + /BC/^{2}

(6 + r)^{2} = 9^{2} + r^{2}

36 + 12r + r^{2} = 81 + r^{2}

collecting like terms,

12r = 81 - 36

12r = 45

r = \frac{25}{12}

   = 3.75

r = 3.75

The radius is 3.75.

3 0
2 years ago
.<br>1 Briefly explain the difference between an employee and an employon​
olchik [2.2K]

Answer:

Employers such as a company or organization that provide service or product to the employee and any person hire service from the employer, for which the employee has to pay. An employee is an individual or organization that work full time or part-time according to requirements and receive compensation for the services.

Step-by-step explanation:

8 0
2 years ago
A batch of 500 machined parts contains 10 that do not conform to customer requirements. Parts are selected successively, without
sveticcg [70]

Question:

For the following exercise, determine the range (possible values) of the random variable. A batch of 500 machined parts contains 10 that do not conform to customer requirements. Parts are selected successively, without replacement, until a nonconforming part is obtained. The random variable is the number of parts selected.

Answer:

Possible values are all integers from 1 to 491.

{1,2,...........491}

Step-by-step explanation:

Given:

Total number of machined parts = 500

Number that do not conform to customers requirements = 10

Number that conforms to customers requirements = 500 - 10 = 490

Since, parts are selected successively, without replacement, until a nonconforming part is obtained, the range of the random variable (number of parts selected) here will be all integers from 1 to 491 ie {1,2,...........,491}.

Here, we have a total of 490 conforming parts, and 10 non conforming parts, there must be a non-conforming part among 491 selections, considering the fact that total number of parts are 500

7 0
3 years ago
What is (-8)+11x[-2-(-4)=?
Goryan [66]
<span><span>−8</span>+<span><span>11x[</span><span><span><span>−2</span>−<span>(<span>−4</span>)]</span></span></span></span></span><span>=<span><span>−8</span>+<span>22<span>x
</span></span></span></span>=<span><span>22x</span>−<span>8
</span></span>
Hope I helped, and if I did, than feel free to vote brainliest
7 0
3 years ago
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