A circular rug has a radius of 4.5 feet.What is the circumstance of the rug ? use 3.14

Reflect triangle ABC over the x-axis. Then translate the new triangle 5 units to the left. What are the coordinates of the verti

makvit [3.9K]

Hi there!

The answer to your question is B my explanation is below

The coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

Step-by-step explanation:

Given the triangle with the vertices

A(-1, -8)B(-2, 2)C(5, 2)We know that when we reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate reverses its sign.

Thus,

The rule of reflection across the x-axis:

(x, y) → (x, -y)

so

A(-1, -8) → A'(-1, -(-8)) = A'(-1, 8)

B(-2, 2) → B'(-2, -2) = B'(-2, -2)

C(5, 2) → C'(5, -2) = C'(5, -2)

Then, translate the new triangle 5 units to the left

Rule of translating 5 units to the left

(x, y) → (x-5, y)

so

A'(-1, 8) → A''(-1-5, 8) = A''(-6, 8)

B'(-2, -2) → B''(-2-5, -2) = B''(-7, -2)

C'(5, -2) → C''(5-5, -2) = C''(0, -2)

Therefore, the coordinates of the vertices of the final image will be:

A''(-6, 8), B''(-7, -2), and C''(0, -2)

Hence, option (B) is true.

8 0

3 years ago

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Find the slope of the line passing through j(0,5) and k(-1,2)

Oliga [24]

Answer:

3

the equation to find slope is y1-y2 / x1-x2

5-2 / 0- (-1)

3/1

3

Step-by-step explanation:

6 0

3 years ago

How do I factor the equation in writing this question?

SCORPION-xisa [38]

Step-by-step explanation:

You are just replacing the 'n' with the number in the 'n box'.

So if this is the formula:

$b(n) = 4 - (n \div 3)$

then:

B(-3)= 4-(-3/3)

B(-3)= 4-( -1)

B(-3)= 4+1

B(-3)= 5

B(0)= 4-(0/3)

B(0)= 4-0

B(0)= 4

B(3)= 4-(3/3)

B(3)= 4-1

B(3)= 3

6 0

3 years ago

What type of endorsement is illustrated by the following example:

Bezzdna [24]

When receiving a check from someone, you'll see that there are lines on the back. Those lines are for the check to be endorsed so you can cash it or deposit your money. Most of the time you'll just sign the back to endorse it and put it in your account or get money in return. However, there are special cases that can show where the money should go. Here are different types of endorsements:

1. Blank endorsements have just your signature on the back. Anyone can cash or deposit a check with this endorsement.

2. Restrictive endorsements have "For Deposit Only" on the first line, then your signature below that. This type of check can only be deposited, not to be cashed for money.

3. Special endorsements are for giving your check to another person. This check can only be deposited or cashed by the person designated on the back. For this endorsement, you would write "Pay to the order of" and then the person's name you want to give the check to. You would then sign your name underneath that.

As seen in your question, Isis Love is signing it as a special endorsement<em />. She is giving her check to Mike Lopez so his name follows "Pay to the order of". The numbers at the bottom would represent the bank account number.

7 0

3 years ago

David received a 20% tip on a bill of $86.40. how much was his tip?

choli [55]

To find the tip of the bill. You will need to find how much of $86.40 is 20%. In this question, they're asking how much is the tip, not how much will the final price be.

When you multiply a percentage you move the decimal point 2 times to the left: 20. → .20

You would multiply $86.40 by .20

When you solve it 86.40 × .20 = 17.28

$17.28 is 20% of $86.40

$17.28 will be the amount he got for his tip.

3 0

3 years ago

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