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3 years ago

A quadratic function has a root at -2i. where is the other root?

Mathematics

1 answer:

12345 [234]3 years ago

3 0

Answer:

The roots are the x-intercepts, where the parabola crosses the x-axis. If the parabola opens up and it's vertex is below the x-axis then it crosses the x-axis in two places and has two (real) roots.

Step-by-step explanation:

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HEEELP

Drupady [299]

Answer: (c)

Step-by-step explanation:

Given

$f(x)=\dfrac{1}{x-3}\\\\g(x)=\sqrt{x+5}$

Here, $\sqrt{x+5}\ \text{is always greater than equal to 0}\\\Rightarrow x+5\geq 0\\\Rightarrow x\geq -5\quad \ldots(i)$

To get $f\left(g(x)\right)$ , replace $x$ in $f(x)$ by $g(x)\ \text{i.e. by}\ \sqrt{x+5}$

$\Rightarrow f\left(g(x)\right)=\dfrac{1}{\sqrt{x+5}-3}\\\\\text{Denominator must not be equal to 0}\\\\\therefore \sqrt{x+5}-3\neq0\\\Rightarrow \sqrt{x+5}\neq 3\\\Rightarrow x+5\neq 9\\\Rightarrow x\neq 4\quad \ldots(ii)$

Using $(i)$ and $(ii)$ it can be concluded that the domain of $f\left(g(x)\right)$ is all real numbers except 0.

Therefore, its domain is given by

$x\in [-5,4)\cup (4,\infty)$

Option (c) is correct.

5 0

3 years ago

What is the distance between the points (4,-2) and )-5,3)?

abruzzese [7]

Answer:

10.3

Step-by-step explanation:

Let the given points be the endpoints of a right triangle. The horizontal change in x is from 4 to -5 and is negative 9; the vertical change in y is from -2 to+ 3 and is +5.

The desired distance is found using the Pythagorean theorem:

d = √(9² + 5²) = √106, or 10.3 (to the nearest tength)

3 0

3 years ago

Does the distance Ella runs vary directly with the time. (How do you know?

Kazeer [188]

No because she can run slow and waste time and not get that far and it will be 3 min. But if you go fast and stop at the same distance it won’t take as long because of your SPEED.

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3 years ago

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Andrews [41]

One or a unique its the some thing

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3 years ago

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dem82 [27]

$135/60=2.25\\2.25*30=\boxed{67.5}$