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2 years ago

What are the coordinates of the point on the directed line segment from (1,-5) to

Mathematics

1 answer:

Black_prince [1.1K]2 years ago

6 0

Answer:

Q (2.5, -4)

Step-by-step explanation:

Let A (1, -5), C = (10, 1), find Q (x, y), so that AQ:QC = 1:5

AQ = (x - 1, y + 5)

QC = (10 - x, 1 - y)

AQ:QC = 1:5

so 5*AQ = QC

5(x - 1) = (10 - x)

5(y + 5) = 1 - y

Solve them:

5x - 5 = 10 - x

6x = 15

x = 15/6 = 2.5

5y + 25 = 1 - y

6y = -24

y = -24/6 = -4

Then answer is Q (2.5, -4)

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3 years ago

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2 years ago

What is the measure of the complement of an angle that measures 57°?

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3 years ago

Read 2 more answers

A circle with radius 16 centimeters is inscribed in a square.Which is the area of the shaded region? A. 804.25 square feet B. 10

Dmitrij [34]

Answer:

Area of shaded region = 220.16 ft²

Explanation:

The diagram associated with this question is shown in the attached image

Unit in diagram is ft, so I'll use this unit in the answer

We are given that a circle with radius 16 ft is inscribed in a square

We know that the radius of an inscribed circle in a square is equivalent to half the length of the side of the square

This means that:

side length of the square = 2 × radius = 2 × 16 = 32 ft

From the diagram, we can note that:

area of shaded region = area of square - area of circle .............> equation I

1- getting area of square:

Area of a square is the square of its side length

This means that:

Area of square = (32)² = 1024 ft²

2- getting the area of the circle:

Area of circle = πr² = 3.14 × (16)² = 803.84 ft²

3- getting area of shaded region:

Use equation I

area of shaded region = area of square - area of circle

area of shaded region = 1024 - 803.84 = 220.16 ft²

Hope this helps :)

5 0

3 years ago