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3 years ago

What is the equation of a parabola with vertex (0,0) and focus (0,4)? Draw its graph on the grid

Mathematics

1 answer:

svp [43]3 years ago

3 0

Focus of a parabola: $4p(y-k)=(x-h)^2$ where vertex (h,k) p is the distance from vertex to focus
$4*4(y-0)=(x-0)^2 \\ 16y=x^2 \\ y= \frac{1}{16}x^2$

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Least common multiple for 16 and 24

Yuri [45]

You can multiply 16 by 3 (the only prime factor of 24 not shared by 16), to find the LCM: 3 * 16 = 48
-- So 48 is the answer

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3 years ago

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Which of the following equations is written in standard form?

matrenka [14]

Which of the following equations is written in standard form?

C. 20y=20

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3 years ago

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kiruha [24]

Answer:

No solution

Step-by-step explanation:

We have

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

For the sum it is not correct to assume

$\sum_{x=8}^{4}x^2= 8^2 + 7^2+6^2+5^2+4^2 = 64+49+36+25+16 = 190$

Note that for

$\sum_{x=a}^b f(x)$

it is assumed $a\leq x \leq b$ and in your case $\nexists x\in\mathbb{Z}: a\leq x\leq b$ for $a>b$

In fact, considering a set $S$ we have

$\sum_{x=a}^b (S \cup \varnothing) = \sum_{x=a}^b S + \sum_{x=a}^b \varnothing$ that satisfy $S = S \cup \varnothing$

This means that, by definition $\sum_{x=a}^b \varnothing = 0$

Therefore,

$\sum_{x=8}^{4}x^2 = 0$

because the sum is empty.

For

$9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

we have other problems. Actually, this case is really bad.

Note that $\cos^2(\infty)$ has no value. In fact, if we consider for the case

$\lim_{x \to \infty} \cos^2(x)$ , the cosine function oscillates between $[-1, 1]$ , and therefore it is undefined. Thus, we cannot evaluate

$9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

and then

$\sum_{x=8}^{4}x^2 + 9\left(\dfrac{\cos^2(\infty)}{\sin^2(\infty)} \right)$

has no solution

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2 years ago

N=1/8;2/n wat is the answer to this question

mylen [45]

Answer:

Step-by-step explanation:

$\dfrac{2}{\dfrac{1}{8}}=2\cdot\dfrac{8}{1}=\dfrac{2\cdot 8}{1}=16$

There are numerous ways to work a problem like this. One is shown above, where we multiply by the inverse of the denominator.

For this you can always use a calculator. Be sure to use parentheses around the denominator fraction.

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3 years ago

The sum of the measures of 2 exterior angles is 264°. What is the measure of the third exterior angle?

erma4kov [3.2K]

Well if all angles are suppose to add up to 360 degrees you can the angles to see if the equal up to 360 degrees, 264+96=360.

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