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Alenkasestr [34]
4 years ago
6

The equation of a circle is (x-2) squared + (y-6) squared =64. What is the center and radius of the circle.

Mathematics
1 answer:
evablogger [386]4 years ago
6 0

Answer:

The center (2,6) and the radius is 8

Step-by-step explanation:

The equation of a circle is (x-h)^2 + (y-k)^2 =r^2

where (h,k) is the center of the circle and r is the radius

We have

(x-2)^2 + (y-6)^2 =64

(x-2)^2 + (y-6)^2 =8^2

The center (2,6) and the radius is 8

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3 years ago
Use place-value patterns to complete the table. 100 is ten times as much as 1/10 of?
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3 0
4 years ago
Which value must be added to the expression x2 + 12x to make it a perfect-square trinomial?
denis23 [38]

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Step-by-step explanation:

The perfect-square trinomial x² + 2ax + a² = (x + a)², then

1. The first term in the trinomial is square the 1st term in the bracket

2. The middle term in the trinomial is the product of 1st , 2nd

    terms of the bracket and 2

3. The 3rd term in the trinomial is square the 2nd term in the bracket

∵ The expression is x² + 12x

∵ We must add the 3rd term which make it perfect-square trinomial

- Divide 12x by 2 to find the product of the 1st term and 2nd term

  in the bracket

∵ 12x ÷ 2 = 6x

∴ The 1st term is x and the 2nd term is 6 of the bracket

∵ The 3rd term in the trinomial is square the 2nd term in the bracket

∴ The 3rd term in the trinomial is 6² = 36

∴ x² + 12x + 36 = (x + 6)²

36 is must be added to the expression x² + 12x to make it

perfect-square trinomial

Learn more:

You can learn more about perfect-square trinomial in brainly.com/question/7932185

#LearnwithBrainly

4 0
3 years ago
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