2 years ago

Which are the center and radius of the circle with this equation? x^2 - 4x + y^2 + 2y = 0

Mathematics

1 answer:

natulia [17]2 years ago

7 0

Answer:

C = (2, - 1)

$r \: = \: \sqrt{5}$

Step-by-step explanation:

Look at the picture

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The product of two factors is 24 .the difference between the 2 factors is 10

Sophie [7]

The answer is 12x2

12x2=24
12-10=2

7 0

2 years ago

FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers

Varvara68 [4.7K]

Answer:

C ≈ 18.85yd

Step-by-step explanation:

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2 years ago

Solve for b -2b + 11 - 5b = 5 - 6b

Colt1911 [192]

Answer:

B = 6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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3 years ago

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Frank and his family went on vacation one summer, and drove 3,000 miles in 10 days. If they drove an equal distance every day, h

kiruha [24]

Answer:

Distance cover by Frank and family each day = 300 miles per day

Step-by-step explanation:

Given:

Total distance cover by Frank and family = 3,000 miles

Number of days = 10

Find:

Distance cover by Frank and family each day

Computation:

Distance cover by Frank and family each day = Total distance cover by Frank and family / Number of days

Distance cover by Frank and family each day = 3,000 / 10

Distance cover by Frank and family each day = 300 miles per day

3 0

2 years ago

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Sin α = 21/29, α lies in quadrant II, and cos β = 15/17, β lies in quadrant I Find sin (α - β).

Sever21 [200]

$\sin(\alpha-\beta)=\sin\alpha\cos\beta-\cos\alpha\sin\beta$

$\sin\alpha=\dfrac{21}{29}\implies \cos^2\alpha=1-\sin^2\alpha=\dfrac{400}{841}$

Since $\alpha$ lies in quadrant II, we have $\cos\alpha$ , so

$\cos\alpha=-\sqrt{\dfrac{400}{841}}=-\dfrac{20}{29}$

$\cos\beta=\dfrac{15}{17}\implies\sin^2\beta=1-\cos^2\beta=\dfrac{64}{289}$

$\beta$ lies in quadrant I, so $\sin\beta>0$ and

$\sin\beta=\sqrt{\dfrac{64}{289}}=\dfrac8{17}$

So

$\sin(\alpha-\beta)=\dfrac{21}{29}\dfrac{15}{17}-\left(-\dfrac{20}{29}\right)\dfrac8{17}=\dfrac{475}{493}$

8 0

3 years ago