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Trava [24]
3 years ago
11

if Point p is located on the segment between point A (1,4) and point D (7,13) . The distance from A to P is twice the distance f

rom P to D . What are the coordinates of point P​
Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

P (5 , 10)

Step-by-step explanation:

point A (1,4) and point D (7,13),         AP/PD = 2:1

P (x,y) : x = x₁ + (a/(a+b) * (x₂-x₁))       y = y₁ + (a/(a+b) * (y₂-y₁))    .... a=2 b=1

x = 1 + 2/(2+1) * (7-1) = 5

y = 4 + 2/(2+1) * (13-4) = 10

P (5 , 10)

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Its <span>isosceles triangle</span>
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3 years ago
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In graphing the equation y&lt;2x -5, the line is dotted and shaded below the line drawn.
MakcuM [25]

Answer:

True.

Step-by-step explanation:

This is  'less than' so the area below the line is shaded.

It is a dotted line  because the solution does not contain points on the line as the inequality sign is < NOT ≤.

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3 years ago
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What is this problem
Veronika [31]

The coordinate of the vertex is; (h, k) = (3, -5)

The final equation of the parabola is; y = 5(x - 3)² - 5

<h3>How to find the vertex of a Parabola?</h3>

The vertex is the coordinate of the crest or trough of the curve. Now, in the given graph, we only have a Trough which is the lowest point of the graph.

The coordinate of the vertex is; (h, k) = (3, -5)

2) Since the general equation is;

y = a(x - h)² + k

We will have;

y = a(x - 3)² - 5

At x = 2, y = 0. Thus;

0 = a(2 - 3)² - 5

a - 5 = 0

a = 5

3) The final equation of the parabola is;

y = 5(x - 3)² - 5

Read more about Parabola Vertex at; brainly.com/question/17987697

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3 0
1 year ago
Ms. Allen asked each of her 30 students to select their favorite type of music. How many students chose Rock 1/3 chose hip hop 1
dalvyx [7]

Answer: 14

Step-by-step explanation:

Fraction that choose hip hop= 1/3

Fraction that choose rap = 1/5

Fraction that choose rock will be:

= 1 - (1/3 + 1/5)

= 1 - (5/15 + 3/15)

= 1 - 8/15

= 7/15

Number of students that choose rock will be:

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We then multi

5 0
2 years ago
Find the volume of this composite figure and explain how you got your answer
Damm [24]
To solve this, we work out the volume of the two shapes (the cuboid and the pyramid) and then add them together.

We get the volume of the cuboid by multiplying the base by the width by the length:

Volume of cuboid = 6 x 6 x 4 

                               = 144m³

Now to get the volume of the pyramid, we multiply the base by the length by the height, and then we divide by three.

Volume of pyramid = 6 x 6 x 8 
÷ 3
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Answer:
Now that we know the two volumes, we simply add them together:

144 + 96 = 240m³

So the volume of the composite sold is 240m³

7 0
2 years ago
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