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lilavasa [31]
2 years ago
12

(x - 97)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Korolek [52]2 years ago
7 0
Hey there! 

In order to find out the answer to this question, we can distribute 

-30 = 2(x - 97) \\ \\ \\ 2(x) = 2x \\ \\ 2(97) = 197

Flip your problem around! 

2x - 194 = -30

Add by 194 on each of your sides 

Like:  2x - 194 + 194 \\ \\ \\ -30 + 194

Cancel out: -194 + 194  because they would give you the outcome of 0

Keep: -30 + 194 [/tex] because that'll give you: [tex]164

Your problem becomes: 2x = 164

Now, we have to divide by 2 on each of the sides

Like: \frac{2x}{2}  =  \frac{164}{2}

Cancel: \frac{2x}{2} because it will give you a outcome of 1

Keep: \frac{164}{2} because this will give you your answer

Answer: x = 82

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)
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Tony’s Electronics is marking down the price of a TV 23% from the original price of $175. Which expression can be used to find t
Arlecino [84]

Answer:

The sale price is \$134.75

The expression is \$175(0.77)

Step-by-step explanation:

we know that

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The discount price is equal to multiply the original price by the percent discount in decimal form

Let

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substitute

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PQ is rotated 180 degrees clockwise about P. What are the coordinates of P' and Q'?
Salsk061 [2.6K]

The co ordinates of P' is (-7,-2) and Q' is (-16, -8)

<u><em>Explanation</em></u>

PQ is rotated 180 degrees clockwise about P. It means <u>P and P' are the same points</u>.

According to the graph, the coordinates of P is (-7, -2) and  Q is (2, 4)

When PQ is rotated 180 degrees clockwise about P, then <u>P or P' will be the mid-point of Q and Q' </u>

Suppose, the co ordinate of Q' is (x, y)

Now according to the mid-point formula, the coordinate of P or P' will be: (\frac{x+2}{2},\frac{y+4}{2}) , which is actually at (-7, -2)

Thus.....

\frac{x+2}{2}=-7\\ \\ x+2=-14\\ \\ x= -16\\ \\ and\\ \\ \frac{y+4}{2}= -2\\ \\ y+4= -4\\ \\ y= -8

So, the co ordinates of P' is (-7,-2) and Q' is (-16, -8)

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