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JulijaS [17]
3 years ago
5

Perform the indicated operation: (x 2 -5x+2)+( x 2 +4x+5)-( x 2 -6x-42)

Mathematics
1 answer:
nordsb [41]3 years ago
6 0
I think its (<span><span>x^2)</span>+<span>5x</span></span>+<span>49</span> 
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If pentagon OPQRS is dilated by a scale factor of seven over four from the origin to create O'P'Q'R'S', what is the ordered pair
GrogVix [38]

Answer:

The order pair of point Q' is (-21/4 , -7/2)

Step-by-step explanation:

* Lets explain the dilation

- A dilation is a transformation that changes the size of a figure.  

- The figure can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much the image will be larger

 or smaller  

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- The center of dilation is a fixed point in the plane about which all

 points are expanded or contracted

* Lets solve the problem

- The pentagon OPQRS is dilated by a scale factor 7/4

- The center of dilation is the origin

- The image of the pentagon after the dilation is O'P'Q'R'S'

∵ The coordinates of the vertices of the pentagon OPQRS are

  O (-1 , 2) , P (-5 , 3) , Q (-3 , -2) , R (2 , 1) , S (2 , 5)

- To find the image of each point after the dilation multiply each

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∵ The scale factor is 7/4

∵ The coordinates of point Q are (-3 , -2)

∴ The image of point Q after dilation is (-3 × 7/4 , -2 × 7/4)

∴ The image of point Q after dilation is (-21/4 , -7/2)

∵ Q' is the image of Q

∴ Q' = (-21/4 , -7/2)

* The order pair of point Q' is (-21/4 , -7/2)

5 0
4 years ago
Read 2 more answers
14 Metric System Conversion. Convert 26.2 miles into kilometers and round to the nearest tenth. (Hint: 1 mile= 1.609 km)
Mekhanik [1.2K]

Answer:

42.1558 km

Step-by-step explanation:

We know that 1 mile = 1,609 km

Then use this data as a conversion factor.

If we want to transform miles to kilometers then our conversion factor should be:

\frac{1,609\ km}{1\ miles}

Now we must multiply the number of miles by this factori and thus we obtain the equivalent in kilometers

26.2*\frac{1,609\ km}{1\ miles} = 42.1558 km

5 0
3 years ago
the cable company charges a month fee of $45.Each movie rental is $1.50. You owe $75 for this month. How many movies did you ren
ser-zykov [4K]

Answer:

20

Step-by-step explanation:

6 0
3 years ago
The LA Dodgers hit the most homeruns in 2014. The number of homeruns accounted for 6% of the entire Major League Baseball home r
USPshnik [31]
To answer the question, we will need to find the 6% (the home runs of the LA Dodgers) of 583 (<span>the entire Major League Baseball home run count</span>). 
To do that, first we are going to divide 6% by 100% to convert it to a fraction and get rid of the percentage signs :
\frac{6}{100}
Now we can multiply our fraction by the entire Major League Baseball home run count to get the home runs of the Dodgers:
\frac{6}{100} (583)= \frac{(6)(583)}{100}= \frac{3498}{100}=34.98

We can conclude that the LA Dodgers <span>hit approximately 35 home runs. </span>
4 0
4 years ago
Read 2 more answers
Find the missing dimension. Use the scale 1:5
MrRissso [65]

Answer: 1m

Step-by-step explanation:

since model is 20cm, a 1:5 scale means the actual is 5x as big. since 20cm x 5 is 100 cm and 1m is 100 cm, the answer in the box should be 1.

4 0
2 years ago
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