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3 years ago

(x - 2) + (y - 9) = 4 center and the radius of the circle

Mathematics

1 answer:

storchak [24]3 years ago

7 0

Answer:

The center is (2, 9) and the radius is 2.

Step-by-step explanation:

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

(h, k) is the center and r^2 is the radius squared. So, in this case (h, k) is (2, 9) and r^2 is 4 so r = 2.

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Two way table’s , bar graphs and segmented bar graphs are useful for displaying what kind of data?why?

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Step-by-step explanation:

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2 years ago

What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

Binomial Series

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

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2 years ago

A number decreased by 4 equals -12. What is the number? _____

elena55 [62]

x - 4 = -12

I think x = -8 as if you decrease -8 by 4 it will leave us with the answer of -12

x = -8

Hope this helped,

Jon

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3 years ago

The approximate value of 5.1 million x 2.2 thousand is? use scientific notation

Sliva [168]

11,220,000,000 is the answer for this question.

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2 years ago

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W is greater than -1 and less than or equal to 4 Use a only once in your inequality.

Mice21 [21]

Answer:

-1 + w ≤ 4

Step-by-step explanation:

w is greater than -1 = -1 + w

Less than or equal to 4 = (anything less than or equal to 4)≤4

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3 years ago

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