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igor_vitrenko [27]
3 years ago
13

Using the following image, solve the problems below given that U is the midpoint point of TV.

Mathematics
1 answer:
Inessa05 [86]3 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Given that U is the midpoint of TV, then

TU = UV , substitute values

8x + 11 = 12x - 1 ( subtract 12x from both sides )

- 4x + 11 = - 1 ( subtract 11 from both sides )

- 4x = - 12 ( divide both sides by - 4 )

x = 3

Thus

TU = 8(3) + 11 = 24 + 11 = 35

UV = 12(3) - 1 = 36 - 1 = 35

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Determine if the expression -8c-9c^4d^2−8c−9c
Leto [7]

Answer:

-8c-9c^4d^2-8c-9c is a polynomial of type binomial and has a degree 6.

Step-by-step explanation:

Given the polynomial expression

-8c-9c^4d^2-8c-9c

Group like terms

=-9c^4d^2-8c-8c-9c

Add similar elements: -8c-8c-9c=-25c

=-9c^4d^2-25c

Thus, the polynomial is in two variables and contains two, unlike terms. Therefore, it is a 'binomial' with two, unlike terms.

Each term has a degree equal to the sum of the exponents on the variables.

The degree of the polynomial is the greatest of those.

25c has a degree 1

-9c^4d^2 has a degree 6.   (adding the exponents of two variables 'c' and 'd').

Thus,

-8c-9c^4d^2-8c-9c is a polynomial of type binomial and has a degree 6.

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2 years ago
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2 years ago
Find the measure of the indicated angle.<br> Please can you help?<br> I need to show work.
777dan777 [17]

Answer:

64°

Step-by-step explanation:

∠RQP = 46°

∠PRQ = 180° - 110° = 70°

∠PRQ + ∠RQP + <u>∠RPQ</u> = 180°

70° + 46 + <u>∠RPQ</u> = 180°

116° + <u>∠RPQ</u> = 180°

Find <u>∠RPQ</u>

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3 years ago
What is the slope of the line with equation 6x+3y=12?
max2010maxim [7]

Answer:

<h2>The slope m = -2</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em><em> - slope</em>

<em>b</em><em> - y-intercept</em>

<em />

We have the equation in the standard form:

6x+3y=12

Convert to the slope intercept form:

6x+3y=12              <em>subtract 6x from both sides</em>

3y=-6x+12           <em>divide both sides by 3</em>

y=-2x+4

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y-intercept: <em>b = 4</em>

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3 years ago
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3 years ago
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