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ANTONII [103]
3 years ago
10

Whic two transformations are applied to pentagon ABCDE to create A'B'C'D'E?

Mathematics
2 answers:
Blababa [14]3 years ago
8 0
It's either a (the first one) or b (the second one), but if I had to choose I would choose b. If I'm wrong I'm so sorry I spent 10 minutes looking at this.
TEA [102]3 years ago
5 0

Answer:

Option A.

Step-by-step explanation:

ABCDE is a pentagon which has been transformed to form A'B'C'D'E'.

In this process two transformations have been done.

To check the transformations we select one point A and check it for all the transformations.

1) Point A has been shifted 7 units right on the x axis and 1 unit up on y- axis as per rule (x, y) → (x + 7, y + 1)

2) Now the translated image has been reflected across x - axis to form a new point A'.

Therefore, Option A. is the correct option.

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A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making
Archy [21]

Answer:

The equation to find the profit made by business combined is x+4x = 10.

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by  business A be 'x'.

Let the profit (in millions) made by  business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

y =4x

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by  business A and profit (in millions) made by  business B.

framing in equation form we get;

x+y =10\ million

Substituting the value of y in above equation we get;

x+4x = 10

Hence The equation to find the profit made by business combined is x+4x = 10.

On Solving above equation we get;

5x =10\\\\x =\frac{10}{5} = \$2 \ million

profit (in millions) made by  business A = \$2 \ million

profit (in millions) made by  business B = 4x =4\times 2 =\$8 \ million

Hence Business A made $2 million profit and Business B made $8 million profit.

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Identify the slope of the equation: y = 5x + 2
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slope is 5

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