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spin [16.1K]
3 years ago
11

ABC has coordinates of A(–5, –7), B(6, –3), and C(2, 7). Find the coordinates of its image after a dilation centered at the orig

in with a scale factor of 2.
Mathematics
1 answer:
Maksim231197 [3]3 years ago
7 0
When a figure is dilated about the origin, every coordinate is multiplied by the scale factor.

A' = 2A = (-10, -14)
B' = 2B = (12, -6)
C' = 2C = (4, 14)
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Rewrite each multiplication or division expression using a base and an exponent
brilliants [131]

Using the laws of indices , 4⁵ ÷ 4² can rewritten as 4³.

<h3>What is the result of the division in exponent form?</h3>

Given the expression; 4⁵ ÷ 4²

To perform the division operation, we use one of the laws of indices;

n^a/n^b = n^{a-b}

Given that;

  • n = 4
  • a = 5
  • b = 2

Now, we apply the laws of indices ;

4⁵ ÷ 4² = 4⁵⁻² = 4³

Therefore, using the laws of indices, 4⁵ ÷ 4² can rewritten as 4³.

Learn more about exponents here: brainly.com/question/15993626?

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6 0
2 years ago
3x-5y=60<br> 4x+5y=-4<br> what is the system of linear equation
Sergeu [11.5K]

(3x-5y=60)

4x+5y=-4

3(8)-5(7.2)=60

4(8)+5(-7.2)=-4

7x=56

÷7. ÷7

x=8

3(8)-5y=60

4(8)+5y=-4

32+5y=-4

-32. -32

5y=-36

÷5. ÷5

y=7.2

4 0
3 years ago
LOL HELP I literally forgot how to do basic maths
Thepotemich [5.8K]

Answer:

Going from left to right, 84, 31, 74, then 111 on top and 228 on bottom

Step-by-step explanation:

3 0
2 years ago
Find the 12th term of an AP of the form 7, 12, 17, 22
ikadub [295]
Answer: 62

Step-by-Step Explanation:

First Term (a) = 7
Common Difference (d) = 12 - 7 = 5
Term to Find (n) = 12th

Therefore, finding the 12th Term :-
=> a+(n-1)d
= 7 + (12 - 1)5
= 7 + (11)5
= 7 + 55
=> 62

Hence, 12th Term of this AP is 62
4 0
2 years ago
Read 2 more answers
Jake is buying a sweater with the price of 30 dollars the store is having a sell that will reduce the price by 30%. Sales tax of
shusha [124]

Answer:Jake's total cost is $22.05

Step-by-step explanation:

The initial price of the sweater is $30. The store is having a sell that will reduce the price by 30%. This means that there is a reduction in the original amount of the sweater by 30% which is expressed as

30/100 × 30 = $9

The new price of the sweater would be 30 - 9 = $21

Since a sales tax of 5% will be added to the final purchase price, the value of the tax would be

5/100 × 21 = 0.05×21 = $1.05

Jake's total cost would be

21 + 1.05 = $22.05

7 0
3 years ago
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