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2 years ago

Which term does not belong with the other three

Mathematics

1 answer:

AnnyKZ [126]2 years ago

8 0

It seems that you have missed few parts of the question.

I searched that question on internet and got the complete question as follows:

Which term does not belong with the other three: lines, segments, planes, and rays?

Answer:

Line, segments and rays all are 1-dimensional quantity like they move in just one direction. While plane is a 2-dimensional quantity like it has length and breadth.

In that case term "plane" doesn't belong with the other three.

Hence final answer is "plane".

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taurus [48]

Answer:

$x^2 - 2x + 10$ , option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

$i^2 = -1$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

The solutions are:

$x_1 = 1 - 3i, x_2 = 1 + 3i$

We have to find the polynomial. All option have $a = 1$ . So

$(x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10$

The correct answer is given by option b.

6 0

2 years ago

Define a function f on a set of real numbers as follows: f(x) = 3x − 1 x , for each real number x ≠ 0 Prove that f is one-to-one

dalvyx [7]

Answer with Step-by-step explanation:

We are given that

$f(x)=\frac{3x-1}{x}$

For each real number $x\neq 0$

To prove that f is one -to-one.

Proof:Let $x_1$ and $x_2$ be any nonzero real numbers such that

$f(x_1)=f(x_2)$

By using the definition of f to rewrite the left hand side of this equation

$f(x_1)=\frac{3x_1-1}{x_1}$

Then, by using the definition of f to rewrite the right hand side of this equation of $f(x_1)=f(x_2)$

$f(x_2)=\frac{3x_2-1}{x_2}$

Equating the expression then we get

$\frac{3x_1-1}{x_1}=\frac{3x_2-1}{x_2}$

$3x_1x_2-x_2=3x_2x_1-x_1$

$3x_1x_2-3x_1x_2+x_1=x_2$

$x_1=x_2$

Therefore, f is one-to-one.

6 0

2 years ago

Mr. and Mrs. Delgado each own an equal number of shares of a stock.Mr. Delgado sells one-third of his shares for $2700. What was

liubo4ka [24]

3x2700=Just Mr. Delgado's shares' value= $8100

Since they own an equal number of shares, their total value of stock before the sale is two times what each of them has separately.

$8100 x 2=value of their stock= $16200

7 0

3 years ago

What is the area of the figure?

Korolek [52]

Answer:

Step-by-step explanation:

I think its the second one.

3 0

3 years ago

HELP ME FELLOW BRAINS 40 PTS

lana66690 [7]

Slope=rise/run
this one
slope=increase in money/increase in time

from 412 to 549 that is 137, increase 137
from 1990 to 1999, that is 9 years, increase 9 years
slope=$/t
slope=137/9
slope=15 and 2/9

5 0

2 years ago