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2 years ago

6

Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units

2 answers:

VLD [36.1K]2 years ago

8 0

Radius = 1/2 * diameter = 5

Equation is (x - (-4))^2 + (y - 9)^2 = 5^2

(x + 4)^2 + (y - 9)^2 = 25 is the answer

GuDViN [60]2 years ago

4 0

Answer:

$(x + 4)^2 + (y-9)^2 = 25$

Step-by-step explanation:

edgenuity 2020

hope this helps!

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I need to write a decimal where the value of a digit is 1/10 as much as a digit in another place

KengaRu [80]

1/10 is the same as saying 10 times less

Refer to the diagram below
The digit as the first decimal place is worth 1/10
The digit as the second decimal place is worth 1/100 which is 1/10 worth the digit as the first decimal place

Example of two decimal numbers:

2.56 and 2.68

The digit 6 in 2.56 is 6/100
The digit 6 in 2.68 is 6/10

The digit 6 in 2.56 is 1/10 as much as the digit 6 in 2.68

6 0

3 years ago

Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

<u>Equation of a Circle</u>

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

Divide $800 between kofi and kweku so that kofi gets three times what kweku gets

AfilCa [17]

Answer:

600 and 200

Step-by-step explanation:

kofi : kweku is 3 :1

so Kofi gets 3 out of ( 3 +1) = 3/4 of 800 = 3/4 * 800 = 600

kweku get s the rest 800- 600 = 200

6 0

1 year ago

The women’s world record high jump is 6 feet, 10 ¼ inches. What is the record in meters? Record your answer to the nearest hundr

valina [46]

2.08. If you want to round, then it will be 2.09.

Hope this helps! ;)

7 0

3 years ago

Which expressions can you use to find 75% of 56??

hodyreva [135]

75/100 x/56
Then do the math to find what's <span>75% of 56.</span>

3 0

3 years ago