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OlgaM077 [116]
3 years ago
9

Please help me with this again

Mathematics
2 answers:
Readme [11.4K]3 years ago
8 0

Step-by-step explanation:

option A is the correct answer of this question

dimaraw [331]3 years ago
3 0

( {x}^{2}  -2x + 3)(x + 1) \\  {x}^{3}  - 2 {x}^{2}  + 3x +  {x}^{2}  - 2x + 3 \\  {x}^{3}  -  {x}^{2}  + x + 3

Therefore, the answer is the first choice.

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Find two unit vectos that are orthogonal to both [0,1,2] and [1,-2,3]
alekssr [168]

Answer:

Let the vectors be

a = [0, 1, 2] and

b = [1, -2, 3]

( 1 ) The cross product of a and b (a x b) is the vector that is perpendicular (orthogonal) to a and b.

Let the cross product be another vector c.

To find the cross product (c) of a and b, we have

\left[\begin{array}{ccc}i&j&k\\0&1&2\\1&-2&3\end{array}\right]

c = i(3 + 4) - j(0 - 2) + k(0 - 1)

c = 7i + 2j - k

c = [7, 2, -1]

( 2 ) Convert the orthogonal vector (c) to a unit vector using the formula:

c / | c |

Where | c | = √ (7)² + (2)² + (-1)²  = 3√6

Therefore, the unit vector is

\frac{[7,2,-1]}{3\sqrt{6} }

or

[ \frac{7}{3\sqrt{6} } , \frac{2}{3\sqrt{6} } , \frac{-1}{3\sqrt{6} } ]

The other unit vector which is also orthogonal to a and b is calculated by multiplying the first unit vector by -1. The result is as follows:

[ \frac{-7}{3\sqrt{6} } , \frac{-2}{3\sqrt{6} } , \frac{1}{3\sqrt{6} } ]

In conclusion, the two unit vectors are;

[ \frac{7}{3\sqrt{6} } , \frac{2}{3\sqrt{6} } , \frac{-1}{3\sqrt{6} } ]

and

[ \frac{-7}{3\sqrt{6} } , \frac{-2}{3\sqrt{6} } , \frac{1}{3\sqrt{6} } ]

<em>Hope this helps!</em>

7 0
2 years ago
In 5 - 7 complete sentences, answer all of the following question. •Use this image to respond to the following prompt: •Is the s
kaheart [24]

Answer:

positive slope

(0,3)

slope = 2

Step-by-step explanation:

  • Slope of the given line is positive
  • If the line is sloping upward from left to right, so the slope is positive (+).

or if the angle made by the line to the x axis is < 90 it's slope is positive.

  • y-intercept of the line is (0,3)
  • The y intercept is the point where the line crosses the y axis. At this point x = 0.
  • slope of the line is 2
  • slope = (y2 - y1) / (x2 - x1)

    lines passing through points (1,5) (0,3)

    slope = (3 - 5) / (0 - 1)

              = -2 / -1 = 2  

7 0
3 years ago
Read 2 more answers
Which conversion is correct?
jonny [76]
.75 75% 3/4 is the correct answer
6 0
3 years ago
Help me with this plz guys
Paul [167]
Since one package cost $24 and each person puts $6 .you then divide 24 divided by 6 then you get four people
4 0
3 years ago
PLEASE HELP!!!<br> questions 10 and 12 please :)
guapka [62]
For 10, the slope is 1/2 and the y intercept is 0. For 12 i believe its 4 for both the slope and the y intercept.
6 0
3 years ago
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