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3 years ago

Find the coordinates of the center and the measure of the radius for a circle whose equation is (x-3)^2 + (y-7)^2=2

Mathematics

1 answer:

igomit [66]3 years ago

6 0

Answer:

fourth option

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 3)² + (y - 7)² = 2 ← is in standard form

with centre = (h, k) = (3, 7) and r² = 2 ⇒ r = $\sqrt{2}$

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The euro has depreciated and the dollar as appreciated

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4 years ago

I need help with the last 2 I need the next 3 in the sequence and the nth term

kkurt [141]

Answer:

f. the sequence goes by the half of the previous number.

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first number= 3.

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4 years ago

Which expression demonstrates the distributive property applied to the expression 4(3 + 7)

GREYUIT [131]

4(3 + 7)

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7 0

3 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:

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

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

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

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

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

$\implies 20a^3b^3$

7 0

2 years ago

−2t−5<9 Hiiiiiiii Huuuu

Brilliant_brown [7]

Answer:

t > -7

Step-by-step explanation:

To solve for t, first add 5 to both sides:

-2t - 5 < 9

-2t < 14

Divide each side by -2, and flip the inequality because we are dividing by a negative number:

-2t < 14

t > -7

So, the solution is t > -7

4 0

3 years ago

Read 2 more answers