Gwen is making a circular rug with a radius of 3 feet. What will the area of the rug be that she is making? With explanation.

Point P on the directed line segment from A to B will have x and y coordinates that are two-thirds of the length of the line segment from A to B. (-1,2).

What are coordinates?

Any one of a group of integers that are used to define where a point is on a surface, on a line, or in space. coordinates in terms of latitude and longitude.

It is given that, P is Two-thirds the length of the line segment from A to B and the coordinates of the points are A = (9,-8)   B = (-6,7).

We have to find the x- and y- coordinates of point P on the directed line segment from A to B

P is a line that divides the line segment from A to B in half.

AP = (2/3) AB

BP = (1/3) AB

We shall subtract two times as much length from AB as there is to A.

x=(m/m+n)(x₂-x₁)+x₁

y=(m/m+n)(y₂-y₁)+y₁

For m=2 and n=1 the value of x and y is,

x=(2/2+1)(-6-9)+9

x=-1

y=(2/2+1)(7-(-8))+(-8)

y=2

Thus, point P on the directed linesegment from A to B will have x and y coordinates that are two-thirds of the length of the line segment from A to B. (-1,2).

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Answer:

4,-3

Step-by-step explanation:

Number of left tortes are, 43/16

We have to given that,

A chef prepared five chocolate tortes for a dinner party.

And, The guests consumed 2 5/16 tortes.

Now, Number of left tortes are,

⇒ 5 - 2 5/16

⇒ 5 - 37/16

⇒ (80 - 37) / 16

⇒ 43/16

Therefore, Number of left tortes are, 43/16

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Answer:

The original price was $20.00

Step-by-step explanation:

Joe paid $14.00 for a board game.

This is the 70% of the original price.

Let the original price of a board game be x

70% of x = $14.00

0.70x = 14.00

x = = $20.00

The original price was $20.00

start off by finding 10% of $14. in order to find 10%, divide it by 70 which gives 2. you now need to make the 30% to add to the 70%, by timesing the 2 by 3to give 6. now all you need to do it add the 6 to 14 to make 20!

so your answer is $20

Answer;

slope = 5/2

Solution and Explanation;

-Polygon which is dilated by a scale factor of 3.

The endpoints of BC are B (3,5) and C (5,10) .

The image of B and C under the dilation will be;

B' = 3 (3,5) = (9,15)

C' = 3(5,10) = (15, 30)

The slope is given by change in y divided by change in x

slope = (30-15)/(15-9)

= 15/6

= 5/2

Answer:

Step-by-step explanation: The easiest way to do this problem is to factor 72 as 2 · 36 then recognise 36 as a perfect square, 6 · 6.

There is no need to factor further because the 6's pair up. So a 6 comes out of the radical leaving a 2 inside and our answer is .

As you make your factor tree, always be on the lookout for perfect squares such as 36.

I have shown my work in the image attached.