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oee [108]
2 years ago
8

A triangle has points: A (2,1); B (3, -3); C (-1, 0). If dilated by a scale factor of 1/2, what is point A prime?

Mathematics
1 answer:
saveliy_v [14]2 years ago
6 0
A’=(1,.5) you just multiply the points by whatever the dilation is, so by .5
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Write 58 1/2 in radical form
Natalija [7]
58^(1/2) is √58 if that is what you meant
4 0
3 years ago
In 2010, there were about 246 million vehicles (cars and trucks) and about 308.7 million people in the United States.1 The numbe
belka [17]

Answer:

2054

Step-by-step explanation:

The equation for the growth of people = 308.7(1097)^x

The equation for the growth of vehicles = 246(1155)^x

If the number of both are equal tham

308.7(1097)^x=246(1155)^x

Dividing both sides by 246

1.254878(1097)^x=(1155)^x

Dividing both sides by (1097)^x

1.254878=(1155÷1097)^x

X=4.406 decades

X=44 years

5 0
3 years ago
I need a models or visuals for that problem​
Leya [2.2K]

Answer:I will be a mode

Step-by-step explanation:

4 0
3 years ago
A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If
r-ruslan [8.4K]

Answers:

  • Total amount of money =  220 dollars
  • Amount Farah gets = 100 dollars

==========================================================

Explanation:

  • F = amount Farah gets
  • S = amount Shaiyara gets
  • Z = amount Zahin gets

The money is divided in the ratio 10:7:5

This means that

  • F = 10x
  • S = 7x
  • Z = 5x

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

  • F = 10x = 10*10 = 100
  • S = 7x = 7*10 = 70
  • Z = 5x = 5*10 = 50

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

6 0
2 years ago
Jack drove to work in the morning at an average speed of 45 miles per hour. He returned home in the evening along the same route
Dmitry [639]

Answer:

Step-by-step explanation:

Let's say that the time it took him to get to work in the morning is  t hours. Then the time it took him to get home in the afternoon must be 1 - t hours. We know that for any trip, distance equals rate times time or d = rt . That means that the distance he drove to work is given by , but we also know that the distance he drove to get home must be the same distance, because he took the same route (and, presumably, no one picked up him house and moved it while he was at work) so for the trip home we can say  d = 30 × (1 - t) and since the distances are equal, we can say: 

45t = 30 × (1 - t)

45t = 30 - 30t

45t + 30t = 30

75t = 30

t = 30/75

t = 2 /5 hour to drive to work at 45mph

Since ,  d = rt

d = 45 ×(2/5) = 18miles

8 0
3 years ago
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