All categories

3 years ago

Which points are coplanar and noncollinear?

Mathematics

1 answer:

Igoryamba3 years ago

3 0

Answer:

coplanar vectors:two vectors are said to be coplanar if they all parallel

collinear vectors: two or more vectors are said to be colinear if they are all parallel to the line

You might be interested in

Choose all the values equal to -5/7

MatroZZZ [7]

Answer:

A B E

Step-by-step explanation:

6 0

3 years ago

Find an nth-degree polynomial function with real coefficients satisfying the given conditions.

lesya692 [45]

Answer:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

Step-by-step explanation:

We want to find a third degree polynomial with zeros x = 2 and x = 2i and f(-1) = 30.

First, note that by the Complex Root Theorem, since x = 2i is a root, x = -2i must also be a root.

Hence, we will have the three factors:

$\displaystyle f(x) = a(x-(2))(x-(2i))(x-(-2i))$

Where a is the leading coefficient.

Expand and simplify the second and third factors:

$\displaystyle \begin{aligned} (x-(2i))(x-(-2i)) &= (x-2i)(x+2i) \\ \\ &= x(x-2i)+2i(x-2i) \\ \\ &= (x^2 - 2ix) + (2ix - 4i^2) \\ \\ &=x^2 + 4\end{aligned}$

Hence:

$\displaystyle f(x) = a(x-2)(x^2+4)$

Since f(-1) = 30:

$\displaystyle \begin{aligned} f(x) &= a(x-2)(x^2+4) \\ \\ (30) &= a((-1)-2)((-1)^2+4) \\ \\ 30 &= -15a \\ \\ a&= -2\end{aligned}$

In conclusion, third degree polynomial function is:

$\displaystyle f(x) = -2(x-2)(x^2+4)$

5 0

3 years ago

Help me with this math work please

Aloiza [94]

Your photo is super blurry! I can’t read parts of the problems, so I can’t exactly help you. Sorry! Good luck.

7 0

2 years ago

Read 2 more answers

A mobile phone company uses the formula C = 10t + 20m to calculate the total cost of a bill. C is the total cost of the bill in

Irina-Kira [14]

Total Cost C = 10*150 + 20*50

= 2500 pence

3 0

3 years ago

Tan∅= 0 How do you find the values of ∅?

olga55 [171]

you have to take arctan(0) to find the value of theta.

tan^-1 (x)=theta

3 0

3 years ago