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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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Juan wants to change the shape of his vegetable garden from a square to a rectangle, but keep the same area so he can grow the s
sergeinik [125]

The quadratic equation that would model this scenario is

x^{2} = 2x(x-16)

Let us take the side of the square = x

Area of the square = x²

Length of the rectangular garden = 2x

Width of the rectangular garden = x-16

So, the area of the new vegetable garden = length*width

Area of the new or rectangular vegetable garden = 2x(x-16)

<h3>What is a quadratic equation?</h3>

The polynomial equation whose highest degree is two is called a quadratic equation. The equation is given by ax^2+bx+ccoefficient x^{2}non-zero.

Since it is given that

Area of square garden = area of the rectangular garden

x^{2} = 2x(x-16)

Thus, the quadratic equation that would model this scenario is

x^{2} = 2x(x-16)

To get more about quadratic equations refer to:

brainly.com/question/1214333

5 0
2 years ago
Keenan currently does a total of 888 pushups each day. He plans to increase the number of pushups he does each day by 222 pushup
marishachu [46]

Answer:

8 + 2x = 30

Step-by-step explanation:

Given,

The initial number of push-ups he does in each day = 8,

And, the number of push-ups, he increases per day = 2,

Let x be the number of days after he will reach his target of 30 push-ups,

Since, the number of push-ups she will increase in x days = 2x,

Thus, the number of push-ups she will do after x days = 8 + 2x,

⇒ 8 + 2x = 30, which is the required equation.

4 0
2 years ago
Melissa has three different positive integers. she adds their reciprocals together and gets a sum of 1. what is the product of h
madreJ [45]

First let us assign the three positive integers to be x, y, and z.

From the given problem statement, we know that:

(1/x) + (1/y) + (1/z) = 1

<span>
</span>Without loss of generality we can assume x < y < z.

We know that:

 

1 = (1/3) + (1/3) + (1/3)

 

Where x = y = z = 3 would be a solution

 

<span>However this could not be true because x, y, and z must all be  different integers.  And x, y, and z cannot all be 3 or bigger than 3 because the sum would then be less than 1.  So let us say that x is a denominator that is less than 3.   So x = 2, and we have:</span>

 

(1/2) + (1/y) + (1/z) = 1

 

Therefore

 

(1/y) + (1/z) = 1/2

 

<span>We  also know that:</span>

 

(1/4) + (1/4) = (1/2)

 

<span>and y = z = 4 would be a solution, however this is also not true because y and z must also be different. And y and z cannot be larger than 4,  so y=3, therefore</span>

 

(1/2) + (1/3) + (1/z) = 1

 

Now we are left by 1 variable so we calculate for z. Multiply both sides by 6z:

3z + 2z + 6 = 6z

z = 6

 

Therefore:

 

(1/2) + (1/3) + (1/6) = 1

 

<span>so {x,y,z}={2,3,6}  </span>

<span> </span>

8 0
3 years ago
Shade 1/5 of this diagram.
viktelen [127]

Answer:

Step-by-step explanation:

\frac{1}{5} means single part out of 5,

Since, \frac{1}{5}=\frac{1}{5}\times \frac{2}{2}

         \frac{1}{5}=\frac{2}{10}

Similarly, \frac{2}{10} means 2 parts out of 10.

Now we can shade 2 parts out of 10 to show \frac{1}{5} of the given figure.

(As shown in the figure attached)

4 0
3 years ago
1. Find the variable.<br><br> 9.2x - 11.25x = 14.35
Angelina_Jolie [31]

Answer:

x = -7

Step-by-step explanation:

3 0
2 years ago
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