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Liono4ka [1.6K]
3 years ago
15

In the coordinate plane, point A(-1,-1) is translated to point A' (-3.-3). Under the same translation, the points B(-4,-4) and C

(5.-5) are translated to B' and C' respectively. What are the coordinates of B' and C'?
Mathematics
1 answer:
Nat2105 [25]3 years ago
3 0

Answer:

B' (- 6, - 6 ) , C' (- 7, - 7 )

Step-by-step explanation:

Consider the coordinates of A and A'

A (- 1, - 1 ) , A' (- 3, - 3 )

- 1 to - 3 in both the x and y direction means subtracting 2 units , then

translation rule is

(x, y ) → (x - 2, y - 2 ) , then

B (- 4, - 4 ) → B' (- 4 - 2, - 4 - 2 ) → B' (- 6, - 6 )

C (- 5, - 5 ) → C' (- 5 - 2, - 5 - 2 ) → C' (- 7, - 7 )

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6 0
3 years ago
Write the equation whose roots are 6 and 1, and whose leading coefficient is 4.
Black_prince [1.1K]

Answer:

4(x-6)(x-1) = 0

Standard form: 4x^2-28x+24=0

Step-by-step explanation:

First, let's write an equation where the roots are 6 and 1.

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We can therefore plug what we know into this equation:

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8 0
3 years ago
A shopper purchased 4 tables and 2 chairs for $200 and 2 tables and 7 chairs for $400. What is the cost of each table and each c
I am Lyosha [343]
4t+2c=200
2t+7c=400

I will solve for c in terms of t first
4t+2c=200
2c=200-4t
c=100-2t

Then I will substitute this in for c in the second equation to make it single variable
2t+7c=400
2t+7(100-2t)=400
2t+700-14t=400
300t=12
t=25 
Tables cost $25 each

Plug t back into one of the ORIGINAL equations to find the cost of chairs
4(25)+2c=200
100+2c=200
2c=100
c=50
Chairs cost $50 each

Hope this helps! :)


6 0
4 years ago
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