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ladessa [460]
3 years ago
5

Find the input (x) of the function y=5x-274 if the output is -69

Mathematics
1 answer:
Anna71 [15]3 years ago
7 0

Answer:

x = 41

Step-by-step explanation:

To find the input x, given output y, then substitute y = - 69 into the function and solve for x, that is

5x - 274 = - 69 ( add 274 to both sides )

5x = 205 ( divide both sides by 5 )

x = 41


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Find MO and PR <br> .......................
Ket [755]

MO = 12 and PR = 3

Solution:

Given \triangle M N O \sim \Delta P Q R.

Perimeter of ΔMNO = 48

Perimeter of ΔPQR = 12

MO = 12x and PR = x + 2

<em>If two triangles are similar, then the ratio of corresponding sides is equal to the ratio of perimeter of the triangles. </em>

$\Rightarrow \frac{\text { Perimeter of } \triangle M N O}{\text { Perimeter of } \triangle P Q R}=\frac{M O}{P R}

$\Rightarrow \frac{48}{12}=\frac{12 x}{x+2}

Do cross multiplication.

\Rightarrow 48(x+2)=12(12 x)

\Rightarrow 48 x+96=144 x

Subtract 48x from both sides.

\Rightarrow 48 x+96-48 x=144 x-48 x

\Rightarrow 96=96 x

Divide by 96 on both sides, we get

⇒ 1 = x

⇒ x = 1

Substitute x = 1 in MO an PR.

MO = 12(1) = 12

PR = 1 + 2 = 3

Therefore MO = 12 and PR = 3.

6 0
3 years ago
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xz_007 [3.2K]

Answer:

No answer

Step-by-step explanation:

Let's say I would like to eliminate x in order to find the value of y.So I multiply the second equation by (-1), but than I also eliminate y. Therefore, this system of equations doesn't have a solution.

5 0
4 years ago
What is the prime factorization of 360?
Lady bird [3.3K]
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4 years ago
Please can you help me
Aleks [24]

9514 1404 393

Answer:

  x = 5

Step-by-step explanation:

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  PQ = PS

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Hope this helps!!

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