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kupik [55]
3 years ago
14

Would the scale factor 4.2 enlarge,reduce,or preserve

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Hey there! I'm happy to help!

Let's look at what scale factors would be able to enlarge, reduce, and preserve first. We will use the point (1,1) as an example.

ENLARGE

When we talk about scale factors, both of our numbers of the ordered pair will be multiplied by that number. To make it bigger, we will multiply it by anything larger than a one, we could have a scale factor such as 2, 100, 579395. etc.!

Dilation of 2

(1,1)⇒(2,2)

REDUCE

To reduce our ordered pair, our scale factor must be a number greater than zero but less than one because it cannot switch quadrants, which is what would happen if we used negative numbers. Our reduced number must be greater than zero. We can use 1/2, 1/4, 1/100, 0.67 etc.

Dilation of 1/2

(1,1)⇒(0.5,0.5)

PRESERVE

What would we multiply an ordered pair by to make it stay the same? One of course! This is the only number that will keep it the same!

Dilation of 1

(1,1)⇒(1,1)

Now, let's think of any scale factor as X and see what rules it has to follow to be enlarging, reducing, or preserving.

ENLARGING SCALE FACTOR: X>1

REDUCING SCALE FACTOR: 0<X<1

PRESERVING SCALE FACTOR: X=1

So, where does 4.2 fall? Well, as you can see, 4.2 is greater than one, so this scale factor would make our point larger.

Therefore, 4.2 would enlarge.

I hope that this helps! Have a wonderful day!

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sal works for a computer repair shop. he has determines that customers pay on average $150 for each computer they bring in. He p
Effectus [21]

Answer:

The answer is :

sal must repair 320 computers in a year to break even.

Step-by-step explanation:

The break even point in a business is the point at which the total costs and the total revenue in a business are equal.

In order to calculate sal's break even point, we will first of all calculate the total costs incurred during the business year, then using the selling price (repairing price), we will calculate how many computers will be repaired to reach the incurred cost. This is done as follows:

Rent per month = $2,000

∴ Rent for a year (12 months) = 2,000 × 12 = $2,400

Cost incurred in fixing each computer = $75

Priced charged for fixing each computer = $150

Next, since we know that sal requires $75 in parts and labor to fix a computer, we will calculate the net price charged for each computer fixed as follows:

Net price charged = Priced charged for fixing each computer - Cost incurred in fixing each computer

Net price charged = 150 - 75 = $75

Finally to calculate the break even point, we know the net income (net price charged) for each computer and the costs of rent for each year, therefore, we will divide the cost incurred by the net price charged, as follows:

break even point = cost of rent for one year ÷ net price charged

break even point = 24,000 ÷ 75 = 320 computers.

Therefore, by the time sal repairs 320 computers during the year, he must have covered the costs incurred in operations, every additional repair, becomes a profit.

3 0
3 years ago
Please help I need to turn this in today.
Bogdan [553]

Answer:

C

Step-by-step explanation:

If you have a Ti-84 series calculator, press "stat" then "Edit..." and then fill in the data table values for x and y in two lists. Then press "2nd" and "mode" to quit. Now press "stat" again and right arrow over to "calc" and press down until you find "ExpReg" and set the "Xlist" and "Ylist" that you used and you will get C as the answer. Another way to do this is to manually substitute values into all 4 equations, which is boring.

8 0
2 years ago
Xyz are in 3:3:6.what are the measures of the angles
Anni [7]
Answer:

Set up an equation equal to <span>180o</span>

Explanation:

<span>3x+3x+6x=180</span>

<span>12x=180</span>

<span>x=<span>18012</span>=15</span>

So, the measure of the angles are:

<span>3x=3×15=45</span>
<span>3x=3×15=45</span>
<span>6x=6×15=<span>90</span></span>

6 0
3 years ago
Help I have to turn this is tomorrow and I don’t know how to do it
jenyasd209 [6]

Step-by-step explanation:

The area of the triangular base is: 19

square units

How to calculate the base area

The given parameters are:

Volume = 27.36 cubic units

Height = 2.88 unit

The volume of a triangular prism is:

V = 0.5 * B *h

Where B represents the base area.

So, we have:

27.36 = 0.5 * B * 2.88

27.36 B * 1.44 -

Solve for B

B = 19

Hence, the area of the triangular base is: 19 square units

6 0
3 years ago
How to calculate distance between two points (-3,2) and (3,0).<br> And pls find the radical
irina1246 [14]

√74
Explanation:
To calculate the distance use the
distance formula
d=√(x2−x1)^2+(y2−y1)^2

−−−2
where
(x1,y1)and (x2,y2)
are 2 coordinate points
The 2 points here are (-3 ,7) and (4 ,2)
let(x1,y1)=(−3,7) and (x2,y2)=
(4,2)⇒d=√(4−(−3))2+(2−7)2=√49+25=√74←in radical form
7 0
3 years ago
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