Answers:
Center = (0, 10)
Radius = 4
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Work Shown:
Rewrite the equation into
(x - 0)^2 + (y - 10)^2 = 4^2
Then note how it is in the form
(x - h)^2 + (y - k)^2 = r^2
We see that the center is (h,k) = (0,10) and the radius is r = 4.
Answer: Choice A
x+3y = 14
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Explanation:
The general template for standard form is Ax+By = C, where A,B,C are integers.
This immediately rules out choices C and D, since they don't fit the format mentioned.
To see which of A or B we can eliminate or confirm, plug (x,y) coordinates from the graph into each answer choice. The ultimate goal is to get a true statement.
For example, the graph shows that (x,y) = (2,4) is on the line. Plug this into choice A to get...
x+3y = 14
2+3(4) = 14
2+12 = 14
14 = 14 this is true
So far so good. The point (2,4) is on the line x+3y = 14. Repeat those steps for (-1, 5) and you should get another true result. So that would confirm choice A is the answer. You only need a minimum of two points to define a unique line, meaning we only need to verify two points on the line. Anything more is just extra busy work.
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If we tried (2,4) with choice B, then,
5x+3y = 14
5(2)+3(4) = 14
10+12 = 14
22 = 14 which is false
This indicates (2,4) is not on the line 5x+3y = 14. We can rule out choice B because of this.
In order to determine which subset it belongs, we must rewrite
as
All these three numbers are irrational numbers, hence their product is also irrational
<h2>
</h2><h2>belongs to the set of
irrational numbers</h2>
An interval scale has measurements where the difference between values is meaningful. For example, the year 0 doesn’t imply that time didn’t exist. And similarly, a temperature of zero doesn’t mean that temperature doesn’t exist at that point. Arbitrary zeros (and the inability to calculate ratios because of it) are one reason why the ratio scale — which does have meaningful zeros — is sometimes preferred.
Answer:
11
Step-by-step explanation:
3+(−3)^2−(9+7)^0
=3+9−(9+7)^0
=12−(9+7)^0
=12−16^0
=12−1
=11
any number to the power of 0 is ALWAYS 1
