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Romashka [77]
3 years ago
6

Give an example of a quadratic with complex roots. Explain how you know it has complex roots.

Mathematics
1 answer:
Vladimir [108]3 years ago
5 0
2x^2 + x + 3=0 has only complex roots.

The determinant is 1-4*2*3 = -23

-23 (or any determinant) is the part under the square root sign,  If that determinant is negative, knowing you cannot take the square root of a negative number, we know the answers must be complex.
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Can someone help me please<br>show your work
sergejj [24]

Answer:

a.

l = 2w - 3

7 0
3 years ago
What is the area of a rectangle with vertices at (6,-3), (3,-6), (-1,-2), and (2,1). Enter your answer In the box
vladimir2022 [97]

Answer:

24 units

Step-by-step explanation:

Start by plotting on the rectangular coordinate system the four points given: (6,-3), (3,-6), (-1,-2) , and (2, 1)

Please see attached image for guidance with the answer.

These four points are represented with green dots in the image.

Notice that such rectangle can be viewed as inscribed in a larger square that is 7 units by 7 units, and on which these four points (the vertices of the rectangle) touch the square's perimeter.

So to make the calculation simple, we can find the area of the larger square (very simple to calculate since it is 7 times 7 = 49) and subtract from it the area of the four triangles that are depicted in yellow and in light green. Such result will give us the area of the rectangle (white background).

Out of the four triangles whose areas we need to extract, we notice that they are all right angle triangles with simple formulas to calculate their areas: base times height divided by 2.

The triangles in green have base 3 and height 3 so their areas are: (3 * 3) /2 = 4.5. since they are two of these the total area of the green triangles is 4.5*2 = 9

We do something similar with the yellow triangles, noticing that their base and heights are 4 and 4 respectively which gives an area of (4*4)/2 = 8

Again, since there are two of them, we multiply this by 2: 8 * 2 = 16

Now to calculate the area of the white rectangle we do:

Area of big square minus area of green triangles minus area of yellow triangles: 49 - 9 - 16 = 24

3 0
3 years ago
PLZ HELP ill GIVE BRAINIESt!!!!20 Points
Goryan [66]
A) √50 = 2√25 . Her mistake was that she confused the radicand (25) & the outside factor to the radicand that is 2. The write answer is 5√2 & not the opposite

b) Find 2 numbers where their square nears the lower & the upper end of 50.

For instance 7² = 49 & 8² =64 are the nearest lower & upper numbers that encompass 50
Hence we can write the following inequality:  

49<50<64  & √49<√50√64 ==> 7<√50<8

So the √50 is nearer to 7² rather than 8².

Then let's try 7.1² =50.41 Which is an acceptable approximation
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3 years ago
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sp2606 [1]

Answer:

a) adjacent angles, complementary angles

b) vertical angles, congruent angles

c) supplementary angles, adjacent angles

d) supplementary angles, adjacent angles

Step-by-step explanation:

Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )

Complementary angles are angles that form a 90 degree angle  (  right angle )

Supplementary angles are angles that form a straight line

Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )

6 0
3 years ago
How to tell if speed is increasing or decreasing calculus?
Reptile [31]
You will need data that logs the changes in speed from various, consecutive events. Which you can use to calculate the difference in speed and determine wether the speed is increasing or increasing.

Otherwise, you only need the initial and finak value to find the difference.

final \:  -  \: initial \:  =  \: difference
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3 years ago
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