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Phantasy [73]
3 years ago
6

Factor each equation

Mathematics
1 answer:
Ainat [17]3 years ago
8 0

Answer:

x^4 - 11·x^2 + 18 = 0

I use Vieta's formulas

-9·(-2) = 18 and -9 + (-2) = -11

(x^2 - 9)·(x^2 - 2) = 0

(x + 3)·(x - 3)·(x + √2)·(x - √2) = 0


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What are the critical points for the inequality 2x+5/x-2≥x-1/x-2?
Pachacha [2.7K]
1) When the denominator equals zero that is a critical point

=> x - 2 = 0 => x = 2.

So x = 2 is a critical point

2) Simplify the numerator to find an expresion of the king p(x) ≥ 0 or p(x) ≤ 0. Where p(x) equals zero you have other(s) critical point(s)

Multiply both terms:

[2x + 5] / [ x - 2] = [x - 1] / [x - 2]

for x ≠ 2 => 2x + 5 = x - 1

=> 2x - x = - 1 - 5

=> x = - 6

Then, the two critical points are x = 2 and x = - 6.

Answer: option B.
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3 years ago
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A circle is centered at the point (5, -4) and passes through the point (-3, 2).
zepelin [54]

Answer:

(x-5)^2+(y+4)^2=100

Step-by-step explanation:

As we know the given points

Center = (5, -4)

and

Point on circle = (-3,2)

The distance between point on circle and center will give us the radius of circle

So,

The formula for distance is:

\sqrt{(x_{2}-x_{1} )^{2}+(y_{2}-y_{1})^{2}}\\Taking\ center\ as\ point\ 1\ and\ the\ other\ point\ as\ point\ 2\\d=\sqrt{(-3-5)^{2}+(2-(-4))^{2}}\\d=\sqrt{(-8)^{2}+(2+4)^{2}}\\d=\sqrt{(-8)^{2}+(6)^{2}}\\\\d=\sqrt{64+36}\\d=\sqrt{100} \\ d=10\\So\ the\ radius\ is\ 10

The standard form of equation of circle is:

(x-h)^{2}+(y-k)^{2}=r^{2}

where h and k are the coordinates of the center. So putting in the value:

(x-5)^{2}+(y-(-4))^{2}=(10)^{2}\\(x-5)^{2}+(y+4)^{2}=100

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3 years ago
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emmainna [20.7K]
There’s technically two answers, you could put Angles 3 and 6, or Angles 7 and 2
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Yen has 25 dimes she gives the same number of dimes to each of her 5 children how many dimes will each receive?
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Each child will get 5 dimes.
25 ÷ 5 = 5
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3 years ago
What heat transfer is Christmas lights radiation or convention or conduction
Firdavs [7]

Answer:

The heat from the sun or heat released from the filament of a light bulb is the example of radiation.

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