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Alenkinab [10]
3 years ago
9

The diagonal of a TV screen is 42 inches. The base is 38

Mathematics
2 answers:
zepelin [54]3 years ago
7 0

Answer:

Diagonal measurement of a tv screen = 42 inches.

Base = 38 inches

To find:

The height of the tv.

Solution:

Let h be the length of the tv.

According to the Pythagoras theorem,

Taking square root on both sides.

Therefore, the height of the tv is  inches.

Step-by-step explanation:

sweet [91]3 years ago
4 0

Answer:

92

Step-by-step explanation:

Divided by 72 equals 82.

So we then add by 42 and we have a result of 92.

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Solve the system of equations algebraically.<br><br> {Y=(x-2)^2+2<br> {Y+4=3x
nikdorinn [45]

Answer:

(5, 11) and (2, 2)

Step-by-step explanation:

y = (x-2)² + 2

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x² - 4x + 4 + 6 = 3x

x² - 7x + 10 = 0

(x - 5)(x - 2) = 0

x - 5 = 0, x = 5

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y = (5-2)² + 2 = 11

(5, 11)

y = (2-2)² + 2 = 2

(2, 2)

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3 years ago
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x-1/3x=6
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Which zero pair could be added to the function so that the function can be written in vertex form?
Oduvanchick [21]
The function in this problem should be: <span>f(x) =x</span>² <span>+ 12x + 6 

y = x</span>² + 12x + 6
y - 6 = x² + 12x 

x² ⇒ x * x
12x ⇒ 2*6*x
missing number is 6² = 36 

y - 6 + 36 = x² + 12x + 36

(x+6)(x+6) ⇒ x(x+6)+6(x+6) ⇒ x² + 6x + 6x + 36 = x² + 12x + 36

y + 30 = x² + 12x + 36
y = (x+6)² - 30

Choice is D. 36,-36
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3 years ago
Write an equation of the line in slope-intercept form through the given points: (0, 2) and (3, 3).
dybincka [34]
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2 years ago
What is the value of x? 6x−2(x 4)=12
jonny [76]

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span>  6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0 </span><span>Step  2  :</span>Trying to factor by splitting the middle term

<span> 2.1 </span>    Factoring <span> 6x2-x-4</span> 

The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>

Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span> 

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is  <span> -1 </span>.

<span><span>     -24   +   1   =   -23</span><span>     -12   +   2   =   -10</span><span>     -8   +   3   =   -5</span><span>     -6   +   4   =   -2</span><span>     -4   +   6   =   2</span><span>     -3   +   8   =   5</span><span>     -2   +   12   =   10</span><span>     -1   +   24   =   23
</span></span>

Observation : No two such factors can be found !! 
Conclusion : Trinomial can not be factored

<span>Equation at the end of step  2  :</span><span> 6x2 - x - 4 = 0 </span>

3 0
3 years ago
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