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sergejj [24]
1 year ago
9

Identify the reflection of the figure with vertices C (-2, 4), D (1, 5), and E (1, 2), across the x-axis.

Mathematics
1 answer:
aniked [119]1 year ago
4 0

Given the vertices:

C(-2, 4), D(1, 5), and E(1, 2)

Let's identify the reflection of the figure across the x-axis.

After a reflection across the x-axis, we have the rule:

(x, y) ==> (x, -y)

Thus, we have:

C(-2, 4) ==> C'(-2, -4)

D(1, 5) ==> D'(1, -5)

E(1, 2) ==> E'(1, -2)

Therefore, after a reflection over the x-axis, we have:

C'(-2, -4), D'(1, -5), E'(1, -2)

ANSWER:

C'(-2, -4), D'(1, -5), E'(1, -2)

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3 years ago
Rachel Perez rented a car for 3 days at $40.00 per day, plus $0.20 per mile. To protect herself in case of an accident, she purc
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Answer:

$290.

Step-by-step explanation:

We have been given that Rachel Perez rented a car for 3 days at $40.00 per day.

\text{The cost of renting a car for 3 days}=3\times \$40

\text{The cost of renting a car for 3 days}=\$120

We are also told that she pays $0.20 per mile for renting the car. As she covered a total distance of 500 miles, so cost of renting car foe 500 miles will be:

\text{Cost of renting the car for 500 miles}=500\times \$0.20

\text{Cost of renting the car for 500 miles}=\$100

As Rachel purchased the collision deductible for $10.00 per day to protect herself in case of an accident, so cost of collision deductible for 3 days will be:

\text{The cost of collision deductible for 3 days}=3\times \$10

\text{The cost of collision deductible for 3 days}=\$30

She also paid $40 for gasoline to cover 500 miles, so we can find total cost to rent the car for 3 days to cover 500 miles by adding all the expenses.

\text{The total cost to rent the car}=\$120+\$100+\$30+\$40

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8 0
3 years ago
The ratio of roosters to chickens is 2 to 8. If there are 5 roosters, how many chickens are there?
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Roosters to chickens is 2 to 8

That means where there are 2 roosters, there are 8 chickens.

Simplify the ratio 2:8
The ratio can be simplified to 1:4

So, for 1 rooster, there are 4 chickens.

Now, the question says that if there are 5 roosters, how many chickens will there be?

1 rooster to 4 chickens
5 roosters to ? chickens

We went from 1 rooster to 5 rooster. We multiplied by 5.
To find out how many chickens there are for 5 roosters, multiply 4 chickens by 5.

4 * 5 = 20

Where there are 5 roosters, there will be 20 chickens.

Another way to solve is as follows:

\frac{2}{8} =\frac{5}{x}\\\\\sf{Cross~multiply}\\\\2x = 5\times 8\\\\2x = 40\\\\x = 20\\\\\boxed{\bf{x=20}}

Your final answer is 20 chickens.<span />
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