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AlekseyPX
3 years ago
7

The coordinates of △ABC△ABC are A(12,8), B(10,18), C(4,16)A(12,8), B(10,18), C(4,16). After a dilation, the coordinates are A'(6

,4), B'(5,9), C'(2,8)A′(6,4), B′(5,9), C′(2,8). Find the scale factor.
Mathematics
2 answers:
luda_lava [24]3 years ago
8 0

Answer: \dfrac{1}{2}

Step-by-step explanation:

The dilation is a transformation which makes similar shapes.

We know that In two similar geometric figures, the ratio of their corresponding corresponding x-coordinate is known as the scale factor.

For the given situation, the x-coordinate of A in pre-image = 12

The x-coordinate of A' in image = 6

Then , the scale factor for the dilation is given by :-

k=\dfrac{6}{12}=\dfrac{1}{2}

Hence, the scale factor = \dfrac{1}{2}

mixer [17]3 years ago
7 0
The scale factor is 1/2 because when you multiply the x and y-coordinates of each point by 1/2, you will get the coordinates of the new dilated points.
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If the expression x-3 has a value of -5,then which of the following represents the value of 3x-9
Angelina_Jolie [31]

Answer:

-15

Step-by-step explanation:

<em>Italics</em> by itself are comments, <em>italics</em> and <u>underlines</u> are helpful rules, bold highlights little facts.

x-3=-5 : since the expression 'x-3' is being assigned the value '-5'

We then isolate or leave the variable 'x' on one side, usually the left-hand side and move all constants (numbers without letters attached such as 3, 4, 5..etc.) and variables (letters such as x, y, a, b..etc.) that do not have 'x', to the right-hand side of the equality symbol (=). This also includes terms such as 5x, -2y, 50z..etc.

<em><u>(Remember that the opposite of multiplication is division and vice versa and the opposite of addition is subtraction and vice versa)</u>.</em>

To do that, we add 3 to both sides of the equation, because the opposite of subtraction is addition <em>(in this case 3 is being subtracted by x, therefore in order to cancel 3 on the left, we do the opposite of the operation).</em> By doing this, we effectively cancel 3 on the left and bring it to the right-hand side. After all, 3 cannot be in two places at once <em>(well not in this equation).</em>

x=-5+3 which is equal to -2.

Hence, x=-2

Now that we know what 'x' is we can work on the other expression: 3x-9

Substitute the value for 'x' (-2 is what we got) into the 'x' in the expression.

3(-2)-9=?

<em><u>(Remember that a positive number multiplied by a negative number will ALWAYS be a negative number. In other words, (+) × (-) = (-). Yes, this also includes a negative number multiplied by a positive number)</u>.</em>

Therefore, 3×(-2) will equal -6.

-6-9=-15

Hence, 3x-9=-15.

To make sure your answer is correct, do the equation backwards. Add 9 to -15 which would then give you -6.

Here's how that looks: 3x-9 (+9)= -15 (+9).

You would then be left with 3x=-6.

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-6 divided by 3 is equal to -2 <em><u>(a positive divided by a negative will always be negative and vice versa)</u></em>.

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3 years ago
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3 years ago
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Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = \frac{5}{8}x

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Solution:

Now we can say that;

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x=\frac58x+\frac{15x}{72}+48

Combining like terms we get;

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Hence There were 180 voters for blue color.

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Step-by-step explanation:

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