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monitta
3 years ago
10

Prove or disprove that the circle with equation x^2-4x+y^2=-3 intersects the y axis

Mathematics
1 answer:
wel3 years ago
7 0
The general equation given is x^2 - 4x + y^2 = -3. Transform this to an equation of a circle of the form x^2 + y^2 = r^2.

Use completing the square method:

x^2 - 4x + 4 + y^2 = -3 + 4
(x - 2)^2 + y^2 = 1

the center of the circle is (2,0) and r = 1

To check if it intersects the y axis, find the value of the x-intercept. 
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3 years ago
The square below represents one whole.
grandymaker [24]

Answer:

Fraction: 81/100

Decimal: 0.81

Percentage: 81%

Step-by-step explanation:

The question is complete but the diagram mentioned can be found in

brainly.com/question/12188410

First step is to find the area of the whole square and then the area of the part that was shaded.

From the diagram, there are 100 squares in the whole square. 81 of those squares are shaded.

Area of the whole square = 10 by 10

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Area of shaded region = (10 by 8) + 1

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shaded area expressed as a fraction = 81unit²/100unit²

= 81/100

Shaded area expressed as a decimal = 81/100

You take the number 81 and carry the point by two decimal place from the right

= 0.81

Shaded area expressed as a percent of the whole = (81/100) × 100

= (81×100)/100

= 81%

6 0
3 years ago
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Step-by-step explanation:

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Read 2 more answers
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