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SOVA2 [1]
3 years ago
13

The vertices of a triangle are p(3,7) Q(7,-6) R(-8,7). Name the vertices of the image reflected across the x axis

Mathematics
1 answer:
pantera1 [17]3 years ago
6 0

Answer:

<em>P'(3,-7) Q'(7,6) R'(-8,-7).</em>

Step-by-step explanation:

<u>Reflection across the x-axis</u>

Given a point P(x,y), its reflection across the x-axis will map to point P'(x,-y), i.e., the y-coordinate gets inverted.

We are given the vertices of a triangle P(3,7) Q(7,-6) R(-8,7). The vertices of the image reflected across the x-axis are:

P'(3,-7) Q'(7,6) R'(-8,-7).

The new triangle has vertices P'Q'R'.

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Daniel buys a desk that regularly sells for $250 and a desk chair that regularly sells for $145. Both items are on sale at 15% o
erik [133]

Daniel bought a desk which regularly costs $250. It is on sale that is 15% off.

In decimal 15% = 15/100 = 0.15

So after sale the selling price is $ (250 ×(1-0.15))

Also x% sales tax applied to it.

After including sales tax, the price is $(250 ×(1-0.15)) + $ (250 ×(1-0.15)×(x/100))

Now here $(250×(1-0.15) is common to both of them. If we take it out we will get $(250×(1-0.15)×(1+x/100))

So Daniel pays $(250×(1-0.15)×(1+x/100)) for a desk.

Daniel also bought a desk chair whose regular selling price is $145. There is 15% off.

So the price will be $(145 ×(1-0.15))

There is also x% sales tax. So after sales tax Daniel pays

$(145×(1-0.15)) + $(145×(1-0.15)×(x/100)

= $(145×(1-0.15)×(1+x/100))

So the total amount Daniel pays

$(250×(1-0.15)×(1+x/100)) + $(145×(1-0.15)×(1+x/100))

We can take out (1-0.15)×(1+x/100)

$(250+145)×(1-0.15)×(1+x/100) = $(250+145)×(1-0.15)×(100/100 + x/100)

=$(250+145)×(1-0.15)×((100+x)/100)

This is option D. So option D is correct.

$(250+145)×(1-0.15)×(1+x/100)

$395×(0.85)×(1+x/100)

$395×(0.85 + 0.85x/100)

$395×(0.85 + 0.0085x)

$395(0.85) + $395 (0.0085x)

This is option A. So option A is also correct.

We will not get option B and C. So we can say option B and C do not represent the amount that Daniel pays.

4 0
3 years ago
Find the sum. 13(9−6m)+14(12m−8)
FinnZ [79.3K]
To do this problem, we must first distribute the 13 and 14 into the parenthesis.

<span>13(9−6m)+14(12m−8)

117 - 78m + 168m - 112

To combine like terms, we can add/subtract terms that have an "m" together and then we can add/subtract terms that do not have "m" together.

117 - 112 = 5
and 
168m - 78m = 90m

So our final sum is 5 + 90m</span>
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