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Inessa05 [86]
2 years ago
8

Find the coordinate of the point P that divides the directed line segment from A to B in the given ratio. Round the

Mathematics
1 answer:
ivann1987 [24]2 years ago
4 0

Answer:

P(1, -5)

Step-by-step explanation:

The segment must be divided into two parts in the ratio of 3:4.

That means the segment length to one part to the other part are in the ratio 7:3:4.

We find the distance in x and in y between the points, and we divide the horizontal and vertical distances in the same ratio.

Horizontal distance:

From x = 7 to x = -7, the distance is 14.

We need to divide a distance of 14 into two segments with the ratio of 3:4.

7x:3x:4x

14:3x:4x

14 = 3x + 4x

14 = 7x

The change in x = 2

7x:3x:4x

14:6:8

The distance in x from A is 6.

7 - 6 = 1

The x-coordinate is 1

Vertical distance:

From x = -8 to x = -1, the distance is 7.

We can easily conclude that to divide 7 into two parts with a ratio of 3:4, the parts will measure 3 and 4.

The change in y = 3

The distance in y from A is 3.

-8 + 3 = -5

The y-coordinate is -5

Answer: P(1, -5)

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Find the surface area and volume of each figure. Round each answer to the nearest hundredth.
Llana [10]

Answer: Surface area is equal to 200cm^{2}

Volume is equal to 333.33cm^{3}

Step-by-step explanation:

First, let's do surface area.

The surface area of a pyramid is equal to 1/2(perimeter of base)(lateral height) + area of the base

The perimeter of the base is 10(4) = 40; as the base is a square with a side length of 10.

The lateral height is given as 5 cm.

The area of the base is 10(10) = 100.

We can plug those numbers into the equation to get 1/2(40)(5) + 100, which comes out to be 200cm^{2}.

Now for volume.

The volume of a pyramid is equal to 1/3(area of the base)(height).

We already have the area of the base, which is 100.

The height is given as 10 cm.

Plugging those numbers into the equation, we get 1/3(100)(10), which is 1000/3 or about 333.33cm^{3}.

Hope this helps!

6 0
3 years ago
What’s is the answer
kvasek [131]

When you are multiplying an exponent directly into a number/variable with an exponent, you multiply the exponents together.

For example:

(x^{2} )^{3} = x^6

(x^{3} )^5=x^{15}


When you are multiplying a variable with an exponent by another variable with an exponent, you add the exponents together.

For example:

(x^{2} )(x^{3})=x^{5}

(x^{1} )(x^{2})=x^{3}


(\frac{(x^{-3})(y^{2})}{(x^{4})(y^{6})} )^{3}=\frac{(x^{-9})(y^{6})}{(x^{12})(y^{18})}

You multiply 3 into each exponent in the numerator and the denominator

\frac{(x^{-9})(y^{6})}{(x^{12})(y^{18})}= \frac{y^{6}}{(x^{9})(x^{12})(y^{18})}

When you have a negative exponent, you move it to the other side of the fraction to make the exponent positive.

\frac{y^{6}}{(x^{21})(y^{18})} = \frac{1}{(x^{21})(y^{12})}


When you have something like this:

\frac{x^{2}}{x^5}

You subtract the exponents together, so:

\frac{x^2}{x^5} = x^{2-5} = x^{-3} = \frac{1}{x^3}


Your answer is the second option

3 0
3 years ago
(PLEASE HELP FAST) What does the y-intercept of this relationship represent?
adelina 88 [10]

Answer:what does the graph look like

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
I need help plzzzzzz
My name is Ann [436]

(1) The train travels 4 miles per gallon.

(2) The slope of the graph is m=\frac{1}{4}

Explanation:

(1) The miles that train travels per gallon is given by

Miles= \frac{800}{200}

Dividing, we have,

Miles= 4

Thus, the train travels 4 miles per gallon.

(2) To determine the slope, let us consider two points from the graph.

The coordinates are (0,0) and (800,200)

Thus, substituting the coordinates in the slope formula, we get,

m=\frac{200-0}{800-0}

Simplifying, we have,

m=\frac{200}{800} =\frac{1}{4}

Thus, the slope of the graph is m=\frac{1}{4}

3 0
3 years ago
For every 5 chickens there were 10 eggs. What are the three ways to write this ratio?
mixas84 [53]

Answer:

The first 3

Step-by-step explanation:

If this helped you please rate this comment, give it a like, and maybe mark it as branliest!

5 0
2 years ago
Read 2 more answers
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