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3 years ago

The equation for the circle below is the x2 + y2=81. what is the length of the circles radius

Mathematics

2 answers:

larisa [96]3 years ago

8 0

Answer:

Step-by-step explanation:

Compare your x2 + y2=81 to the following:

x^2 + y^2 = 81

The " ^ " symbol indicates exponentiation.

Now compare x^2 + y^2 = 81 to

x^2 + y^2 = r^2.

This is the standard equation of a circle of radius r centered at the origin, (0,0). You can see for yourself that 81 must equal r^2.

Taking the square root of 81, we get plus or minus 9.

But the radius must be positive, so we reject the -9 and take +9.

The radius is 9.

SSSSS [86.1K]3 years ago

8 0

Answer: 9

Step-by-step explanation:

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Question Progress

mixas84 [53]

Answer:

Please check the attached figure!

Step-by-step explanation:

Part a)

Point A is located at the x-coordinate x=-4 and y-coordinate y=1.

Hence, the coordinates of point A = (-4, 1)

Part b)

Point B(3, -2) has been plotted and is shown in the attached figure.

It is clear from the attached diagram that point B is located at the x-coordinate x=3 and y-coordinate y=-2. Hence, the coordinates of point B = (3, -2)

Part C)

Point C has the same x-coordinate as point A i.e. x=-4 and the same y-coordinate as point B i.e. y=-2.

Hence, the coordinates of point C = (-4, -2). Point C is also plotted as shown in the diagram.

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3 years ago

Jorge is mixing a special shade of orange paint. He mixed 1 gallon of red paint with 3 gallons of yellow paint. Based on this ra

astra-53 [7]

Answer:

a. b. c. and d. are true; e. is false

Step-by-step explanation:

1 gallon of red paint : 3 gallons of yellow paint

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

a. 3/4 of a 4-gallon mix would be yellow paint.

True. 3 out of 4 gallon mix is yellow and 1 out 4 is red

b. Every 1 gallon of yellow paint requires 1/3 gallon of red paint.

1 gallon of red paint : 3 gallons of yellow paint

divide by 3 in both sides of :

1/3 gallon of red paint : 3/3 gallons of yellow paint

1/3 gallon of red paint: 1 gallon of yellow paint. True

c. Every 1 gallon of red paint requires 3 gallons of yellow paint.

True. 1 gallon of red paint : 3 gallons of yellow paint

d. There is 1 gallon of red paint in a 4-gallon mix of orange paint.

True. 1 out of 4 is red and 3 out of 4 is yellow.

e. There are 2 gallons of yellow paint in an 8-gallon mix of orange paint.

1 gallon of red paint + 3 gallons of yellow paint = 4 gallons of orange paint

Multiply by 2 each side of the equation

2(1 of red paint + 3 of yellow paint) = 2(4 of orange paint)

apply to each member of the parenthesis ()

2 of red paint + 6 of yellow paint = 8 of orange paint

Actually there are 6 gallons of yellow paint in a 8 gallon mix. So e. is false.

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3 years ago