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Neporo4naja [7]
3 years ago
14

Point B(6, –2) is translated using the rule (x – 4, y + 3).

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0
B(6,-2)
apply rule (x-4,y+3)
->
B'(6-4,-2+3)=(2,1)

-> y-coordinate=1
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aleksandrvk [35]
F(g(-1))
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3 years ago
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Answer:

a) π

b) 33.4

Step-by-step explanation:

C = πd

1) substitute 105 for C: 105 = πd

2) plug in approximate value of 3.14 for π: 105 = (3.14) d

3) isolate to solve for d: 105/3.14 = d

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A company that rents small moving trucks wants to purchase 25 trucks with a combined capacity of 28,000 cubic feet. Three differ
pickupchik [31]

Answer:

We have 4 solutions:

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Step-by-step explanation:

Let the number of 10-foot truck with a capacity of 350 cubic feet purchased=a

Let the number of 14-foot truck with a capacity of 700 cubic feet purchased=b

Let the number of 24-foot truck with a capacity of 1,400 cubic feet purchased=c

The company wants to purchase 25 trucks, therefore.

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Furthermore, the combined capacity of the trucks is 28,000 cubic feet.

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Since the number of equations is less than the number of variables, you can not use a matrix equation to solve this problem.  The solution is most easily found using an augmented matrix.  

The augmented matrix is presented below:  

\left[\begin{array}{ccc|c}1&1&1&25\\350&700&1400&28000\end{array}\right]

Using the calculator, the reduced row echelon form is:

\left[\begin{array}{ccc|c}1&0&-2&-30\\0&1&3&55\end{array}\right]

where  

a- 2c=-30 means a =2c-30

b+3c=55 means b= 55-3c

We alter the value of c as long as neither a nor b becomes negative. Suitable values for c are 15, 16, 17, and 18:

\left|\begin{array}{|c||c||c|}a=2c-30&b=55-3c&c\\0&10&15\\2&7&16\\4&4&17\\6&1&18\end{array}\right|

We can easily  verify that, for each solution, the number of trucks adds up to 25 and the fleet capacity is 28,000 cubic feet.

We therefore have 4 solutions:

  • No 10-foot truck, 10  14-foot trucks, and 15 24-foot trucks
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hram777 [196]

Answer:

x = 8

Step-by-step explanation:

Step 1: Write equation

-5 + x = 3

Step 2: Solve for <em>x</em>

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Step 3: Check

<em>Plug in x to verify it's a solution.</em>

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Mrs. Wilson Shared 63 stickers equally among 4 girls and 5 boys.How many stickers were in each share?
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Answer:

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Step-by-step explanation:

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