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Veseljchak [2.6K]
3 years ago
15

Which is true about the solution to the system of inequalities shown? y less than or equal to 1/3x-1 and y less than or equal to

1/3x-3
Mathematics
1 answer:
tekilochka [14]3 years ago
4 0
Y≤x/3-1  AND y≤x/3-3

So for BOTH inequalities to be true:

y≤x/3-3


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If triangle ABC is dilated by a scale factor of 2 with a dilation center of A, what will be the coordinates of point b’?
mojhsa [17]

Answer:


In the given figure the sides of triangle measures as follows:


AB= 4 units,


BC= 6 units,


Since triangle ABC is right angled triangle, to find AC we will have to use Pythagorean theorem,


AB² + BC² = AC²


Plugging the values of AB and BC to find AC,


4² + 6² = AC²


16+36=AC²


AC = 7.48


Now if the triangle is dilated by a scale factor of 2, each side will be multiplied by 2 to get the new triangle A'B'C'


side A'B' = 2* AB = 2*4= 8 units


side B'C' = 2* BC = 2*6 =12 units


side A'C' = 2*AC = 2*7.48 = 14.96 units


Perimeter of triangle = sum of three sides


Perimeter of triangle A'B'C' = A'B' + B'C' + A'C'= 8+12 + 14.96 = 34.96 units.


Perimeter of triangle ABC = AB+BC + AC = 4+6+7.48 = 17.48 units.


Perimeter of triangle A'B'C' = 2* Perimeter of triangle ABC


The perimeter of new triangle A'B'C' is 34.96 units which is twice that of triangle ABC.


Answer : A) The perimeter of A'B'C' is 2 times the perimeter of ABC.



8 0
4 years ago
I figured out the first part but not B and C
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2 years ago
Alvin has a prism-like water tank whose base area is 0.9 square meters and height is 0.6 meters. He wants to
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Answer:Alvin can have 2 fish

Step-by-step explanation:

6 0
4 years ago
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11 less than 7 times a number<br> is 5 more than 6 times the<br> number. Find the number
vivado [14]

Answer:

5 i think. im not good at math. sorry if wrong

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4 years ago
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398.574986215 to the nearest ten-thousandth.
Julli [10]

Answer: 398.5750

Step-by-step explanation:

It is important to remember that the fourth digit after the decimal point is in the ten-thousandth place.

Then, given the  following number:

398.574986215

You can follow these steps in order ti round it to the nearest ten-thousandth:

1. You can identify that the digit in the ten-thousandth place is:

9

2. Identify the digit to the right of 9. This is:

8

3. Since:

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 You must round up. Increase the digit 9 by 1. (Notice that 9+1=10, then the digit to the left of  9 increases by 1 too). Then:

398.5750

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