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olasank [31]
3 years ago
8

If a line has no y-intercept, what can you say about the line?

Mathematics
1 answer:
stepan [7]3 years ago
5 0
The line is vertical. Its slope is undefined, and its equation is. X = a number.
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The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.
Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: (x-3)^{2}  + (y+2)^{2}  = 25

Now, comparing it with the general equation of circle: (x-h)^{2}  + (y -k)^{2}  = r^2

we get the central coordinates (h,k)  = (3,-2)

So, the slope of the line joining center and (8, -2) = \frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = \frac{-1}{0}

Now, by point slope formula: the equation of the tangent is

(y-y0)  = m (x-x0)

or, (y +2) = \frac{-1}{0} (x -8)

or x =8 is the equation of the tangent.

8 0
3 years ago
Find the next three terms of the sequence?
forsale [732]

Answer:

The correct answer is D. -2,592, -15,552, -93,312

Step-by-step explanation:

Each of the terms is the previous term multiplied by 6. You can find this by taking any term and dividing it by the one before it. The answer will always be 6.

-72/-12 = 6

-12/-2 = 6

So, in order to find the next 3, we take the last term and multiply it by 6.

-432 * 6 = -2,592

-2,592 * 6 = -15,552

-15,552 * 6 = -93,312

4 0
3 years ago
3. Nutrition labels. The nutrition label on a bag of potato chips says that a one ounce (28 gram) serving of potato chips has 13
svetoff [14.1K]

Answer:

The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 35 - 1 = 34

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 34 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0322

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.0322\frac{17}{\sqrt{35}} = 5.84

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 134 - 5.84 = 128.16 calories

The upper end of the interval is the sample mean added to M. So it is 134 + 5.84 = 139.84 calories

The 95% confidence interval of for this random sample is between 128.16 calories and 139.84 calories. This means that we are 95% that the mean number of calories for all bags of potato chips is in this interval.

3 0
3 years ago
What is the difference between advanced calculus and real analysis?
eduard
<span>The content of any course depends on where you take it--- even two courses with the title "real analysis" at different schools can cover different material (or the same material, but at different levels of depth).

But yeah, generally speaking, "real analysis" and "advanced calculus" are synonyms. Schools never offer courses with *both* names, and whichever one they do offer, it is probably a class that covers the subject matter of calculus, but in a way that emphasizes the logical structure of the material (in particular, precise definitions and proofs) over just doing calculation.

My impression is that "advanced calculus" is an "older" name for this topic, and that "real analysis" is a somewhat "newer" name for the same topic. At least, most textbooks currently written in this area seem to have titles with "real analysis" in them, and titles including the phrase "advanced calculus" are less common. (There are a number of popular books with "advanced calculus" in the title, but all of the ones I've seen or used are reprints/updates of books originally written decades ago.)

There have been similar shifts in other course names. What is mostly called "complex analysis" now in course titles and textbooks, used to be called "function theory" (sometimes "analytic function theory" or "complex function theory"), or "complex variables". You still see some courses and textbooks with "variables" in the title, but like "advanced calculus", it seems to be on the way out, and not on the way in. The trend seems to be toward "complex analysis."  hope it helps

</span>
8 0
3 years ago
Helppp plsss help I'm almost done
kirza4 [7]

Answer:

Step-by-step explanation:

-1, - 0.6, - (2/5), - (1/4), - (1/5), 0, 0.2, 0.25, 0.4, (3/4), (4/5), 1

I hope I've helped you.

4 0
3 years ago
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