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Semenov [28]
3 years ago
10

Use the equation of the circle centered at the origin and

Mathematics
1 answer:
Serggg [28]3 years ago
5 0

Answer:

Step-by-step explanation:

The standard form of a circle is

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

If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:

(0-0)^2+(5-0)^2=r^2 and

0^2+5^2=r^2 so

r^2=25  Our circle's equation is

x^2+y^2=25

Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:

4^2+4^2=25

Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because

4^2+4^2>25

If the inequality < were true then the point would lie inside.

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What is the rounded amount 3.56- to the nearest dollar
Semenov [28]

Answer: $4.00

Step-by-step explanation: 56 ronded to to the nearest hundredths equal to 100. 1+3=4

8 0
3 years ago
Find the oth term of the geometric sequence 7, 14, 28, ...
yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

\frac{14}{7}=2,\:\quad \frac{28}{14}=2

The ratio of all the adjacent terms is the same and equal to

r=2

now substituting r = 2 and a₁ = 7 in the nth term

a_n=a_1\cdot r^{n-1}

a_n=7\cdot \:2^{n-1}

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

6 0
2 years ago
Please help anything is appreciated I will give you Brinley if it’s right
bearhunter [10]

I wish you good lessons

4 0
2 years ago
How do you find the percent of an equation??
vlabodo [156]
<span>15 is 10% what number? in equation form is 15/10% = X.We need to first convert the percentage to an equivalent decimal to do our calculation.<span>Converting a percentage to a decimal we remove the percentage sign and divide by 100.</span></span>
3 0
3 years ago
Read 2 more answers
Consider equation of circle x2-2x+y2-4y-4=0,if line 2x-y+a=0 is its diameter then find value of a
g100num [7]

Answer:

Step-by-step explanation:

x² - 2x + y² - 4y - 4 = 0

x² - 2x + y² - 4y = 4

complete the squares

(x² - 2x + x₀) + (y² - 4y + y₀) = 4

the unknown number will be the square of half of the x¹ coefficient

(x² - 2x + 1) + (y² - 4y + 4) = 4 + 1 + 4

(x - 1)² + (y - 2)² = 9

This tells us that the circle is centered on (1, 2)

Which is also a point on the diameter

2x - y + a = 0

a = y - 2x

a = 2 - 2(1)

a = 0

4 0
2 years ago
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