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Alinara [238K]
3 years ago
11

If the directrix is a vertical line through the point (4, 0) and the vertex is located at the origin, is the parabola a vertical

or horizontal parabola? Which direction does the parabola open?
Mathematics
1 answer:
k0ka [10]3 years ago
4 0
So the answer is whiff f rnemdkxjx
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How to solve this problem for my pre calculous class.
Vilka [71]
Take the cos-1 of both sides to get 3x=30 then divide by 3 to get ×=10

4 0
3 years ago
∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{
photoshop1234 [79]

Substitute u=x^2+4 and du=2x\,dx. Then the integral transforms to

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}

Apply the power rule.

\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C

Now put the result back in terms of x.

\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}

3 0
2 years ago
Under which condition does a country with a small GDP have a large per capita income? if it has a large population if it has a s
ratelena [41]
Per capita means per head or per person.

now, if a country has a small GDP hmmm say for the sake of example, $1000, and it has 1000 residents, then the per capita is $1000/1000 or a buck each.

now, $1000 is a really tiny GDP, but, if the population is say hmm 20 folks only, then the per capita amount is $1000/20, or $50 per person, now, that's a large "per capita" figure, more so than $1 per person, even though the GDP never changed, it was all along $1000.

so, if the population is comparitively small, the per capita is large, I think a good example of that is Switzerland.

sidenote:

bear in mind that per capita figures are very misleading, since you could have a tiny portion of the population making huge amounts and others making little, like in the US, and the per capita is very inaccurate to reflect the economy wealth distribution.
7 0
4 years ago
Read 2 more answers
(a + b)(a 2 - ab + b 2)
JulsSmile [24]

Answer:

a³ + b³

Step-by-step explanation:

Given

(a + b)(a² - ab + b²)

Each term in the second factor is multiplied by each term in the first factor, that is

a(a² - ab + b²) + b(a² - ab + b²) ← distribute both parenthesis

= a³ - a²b + ab² + a²b - ab² + b³ ← collect like terms

= a³ + b³

4 0
4 years ago
Read 2 more answers
1) ⁴/₃ = ¹⁰/x<br><br> Hdhdvdjns be ivncifj <br><br> (Ignore this )
ArbitrLikvidat [17]

Answer:

x = 7.5

Step-by-step explanation:

10/4 = 2.5

x = 3 × 2.5 = 7.5

Another way

x = 3/4 × 10 = 7.5

5 0
3 years ago
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