Answer:
A
Step-by-step explanation:
if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is
(x-x1)(x-x2)+(y-y1)(y-y2)=0
reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

center is (2,-4)
r=√(2²+(-4)²-(-14))
=√(4+16+14)
=√(34)
eq. of circle is (x-2)²+(y+4)²=34
or
(x²-4x)+(y²+8y)=14
(x²-4x+4)+(y²+8y+16)=14+4+16
(x-2)²+(y+4)²=34
Answer:
The largest integer value that makes the inequality true is 9.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
1x - 8 < 2x + 1
<u>Step 2: Solve for </u><u><em>x</em></u>
- Simplify: x - 8 < 2x + 1
- [Subtraction Property of Equality] Subtract <em>x</em> on both sides: -8 < x + 1
- [Subtraction Property of Equality] Subtract 1 on both sides: -8 < x
- Rewrite: x > -8
∴ we see that any number <em>x greater than -8</em> would work as a solution to the inequality. That would mean the next largest integer, 9, would be our answer.
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Topic: Algebra I
Answer:
c. Asking people leaving a local election to take part in an exit poll
Step-by-step explanation:
Asking people leaving a local election to take part in an exit poll best represents the highest potential for nonresponse bias in a sampling strategy because of the importance of the local election compared to the exit polls.
It is worthy of note that nonresponse bias occurs when some respondents included in the sample do not respond to the survey. The major difference here is that the error comes from an absence of respondents not the collection of erroneous data. ...
Oftentimes, this form of bias is created by refusals to participate for one reason or another or the inability to reach some respondents.
I think the answer is 4. 12× 1/3= 4
Answer:
This is an geometric sequence with a common ratio <em>r</em> of 1/2
Step-by-step explanation:
When you find out <em>r</em>, you realize the ratio between the numbers to be dividing by 2, or 1/2. Since it is <em>r</em> and not common difference <em>d</em>, it is an geometric sequence.