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navik [9.2K]
3 years ago
10

Type the correct answer in each box.

Mathematics
1 answer:
Vitek1552 [10]3 years ago
7 0

Answer:

The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are ( -4,2).

The coordinates of the point that is a reflection of Y across the y-axis are ( 4,-2).

Step-by-step explanation:

<em>Reflection across x-axis</em>

<em>The rule used for Reflection across x-axis is that y-coordinate becomes negated while x coordinate remains same.</em>

So,

The coordinates of the point that is a reflection of Y(-4, -2) across the x-axis are ( -4,2).

Because according to definition, x-coordinate remains same, while y-coordinate is negated. So x-coordinate = -4, y-coordinate = 2

<em>Reflection across y-axis</em>

<em>The rule used for Reflection across y-axis is that x-coordinate becomes negated while y coordinate remains same.</em>

So,

The coordinates of the point that is a reflection of Y across the y-axis are ( 4,-2).

Because according to definition, y-coordinate remains same, while x-coordinate is negated. So x-coordinate = 4, y-coordinate = -2

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3 years ago
-5x-12&gt;6x-4 Solve the inequality and give the answer in interval notation.
lora16 [44]

-5x-12>6x-4

To Solve the inequality we need to get x alone

-5x-12>6x-4

first we remove -12, for that we add 12 on both sides

-5x-12+12>6x-4+12

-5x > 6x +8

Now subtract 6x from both sides

-5x -6x> 6x-6x +8

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Divide by -11. when we divide by -11 we flip the inequality . so > becomes <

x < -\frac{8}{11}

We need to give the answer in interval notation.

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7 0
3 years ago
Riley and Erik have earned a total of 135 tokens to buy items in the school store. The ratio of the number of tokens that Riley
lisabon 2012 [21]

Answer:

<em>Riley has 72 tokens</em>

Step-by-step explanation:

<u>System of Equations </u>

We have two conditions for the tokens Riley and Erik have earned. Let's call x and y to the number of tokens of Riley and Erik respectively. The first condition states that

x+y=135

Solving for y

y=135-x

The second condition is that the ratio of the number of tokens that Riley had to the number of tokens that Erik has is 8 to 7. It's written as

\displaystyle \frac{x}{y}=\frac{8}{7}

Or equivalently

7x=8y

Replacing y from the first equation

7x=8(135-x)

Operating

7x=1080-8x

Simplifying

15x=1080

\boxed{x=72}

Riley has 72 tokens

3 0
3 years ago
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