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dexar [7]
2 years ago
9

Write the equation in standard form for the circle passing through (7, 1) centered at the origin

Mathematics
1 answer:
Alenkinab [10]2 years ago
4 0

Step-by-step explanation:

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

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

since the center of this circle is the origin (0, 0), we have the simplified version

x² + y² = r²

to get r² we simply use the given point

7² + 1² = r²

49 + 1 = r²

r² = 50

our equation in standard form is therefore

x² + y² = 50

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Find the common ratio for the geometric sequence defined by the formula: an=40(2‾√)n−1 a n = 40 ( 2 ) n − 1
WITCHER [35]

The ratio of the geometric sequence 402^{n-1} is 2.

Given that geometric sequence is 40*2^{n-1} and we have to find the common ratio of all the terms.

Geometric sequence is a sequence in which all the terms have a common ratio.

Nth termof a GP is ar^{n-1} in which a is first term and r is common ratio.

Geometric sequence=40*2^{n-1}

We have to first find the first term, second term and third term of a geometric progression.

First term=40*2^{1-1}

=40*2^{0}

=40*1

=40

Second term=40*2^{2-1}

=40*2^{1}

=40*2

=80

Third term=40*2^{3-1}

=40*2^{2}

=40*4

=160

Ratio of first two terms=80/40=2

Ratio of next two terms=160/80=2

Hence the common ratio of geometric sequence is 2.

Learn more about geometric progression at brainly.com/question/12006112

#SPJ1

4 0
2 years ago
Solve for x :<br><br>14x + 2 = 9x - 3​
exis [7]
The answer for your question is x=-1

8 0
2 years ago
Question 6(Multiple Choice Worth 4 points)
Alla [95]

Answer:

The scatter plot would closely resemble a straight line with a positive slope. The data has a strong, positive correlation, and a causal relationship exists between the team playing at home and winning.

Step-by-step explanation:

the closer the correlation coefficient is to +1 the stronger the positive correlation.

plz, mark brainliest

7 0
3 years ago
Read 2 more answers
In a study of 30 high school students, researchers found a high correlation, 0.93, between amount of exercise and weight lost. W
zloy xaker [14]

Answer:

Option A is true

The researchers proved that exercise causes weight loss only for high school students.

Step-by-step explanation:

We are told that the researchers found a high correlation, 0.93, between amount of exercise and weight lost.

Now, looking at each of the options;

- A is True because due to the high correlation, the research proves that exercise causes weight loss but only for high school students.

- B is not true because we are told the correlation is very high at 0.93. Thus, it is untrue that there is no proven causation.

-C is not true because there's no where that the researchers have completely proved that exercise causes weight loss generally. It is only peculiar to the high school students studied.

-D is not true because the 93% is just a correlation and not a percentage of those who lost weight

8 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
Tatiana [17]

Answer: 9.4

Explanation: 8.4^2+4.3^2=

70.56+18.49=89.06

square root of 89.06 is 9.437

9.4 rounded off

7 0
2 years ago
Read 2 more answers
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