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brilliants [131]
3 years ago
13

Match each quadratic equation with its roots. Tiles a2-a+11+0

Mathematics
1 answer:
laila [671]3 years ago
7 0
To solve this problem you must aply the proccedure shown below:

 You have the following quadratic equation: a^2-a+11=0 and to solve it you must apply the quadratic formula x=-b√(b^2-4ac)/2a

 a=1
 b=-1
 c=11

 The result is

 a1=(1-i√43)/2
 a2=(1+i√43)/2

 The answer is:a1=(1-i√43)/2 and a2=(1+i√43)/2
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a ship leaves port on a bearing of 44.0 degrees, and travels 11.4 mi. the ship turns east and travels 6.2 mi. How far is the shi
Rudik [331]

Based on the information provided, \overrightarrow{r} = at a bearing angle of = 59.88° .

We are requested to calculate the overall displacement of the ship, both in magnitude and direction, once it departs the harbor under the stated parameters. First, let's define a bearing.

<h3>What is bearing in the context given above?</h3>

Angles are generally measured anticlockwise from the positive x-axis, whereas bearing angles are evaluated clockwise from the positive y-axis. A bearing is NOT a standard angle measuring tool.

Therefore, a bearing of 44.0° indicates that this is an angle 90.0° - 44.0° = 46°. This is the angle to be used in the calculations.

We're given that the first displacement is 11.4° at an angle of 46° (which was computed earlier).

Step 1  - Split the above into components

x1 = 11.4 Cos 46°

= 7.92m

y1 = 11.4Sin 46.0°

= 11.4 * 0.71933980033

= 8.2m

The second displacement is a simple 6.2mi due east, that is, the positive

x-direction. The components are thus:

Δx = x1 + x2

= 7.92 + 6.2

= 14.12mi

Δy = 1 + y2

= 8.2 + 0

= 8.2

r = √(x total)² + (y total)²

=√[(14.21)²+(8.2)²]

= √(201.9241 +67.24)

= √269.1641

= 16.4mi

The direction of the displacement vector is given by:

tan Ф = (Δy)/(Δx)

= arctan (8.2/14.12)

= arctan (0.5807365439)

= 30.12°

Recall that we were asked for the bearing angle. The bearing angle is what we get when we subtract 30.12° from 90°.

That is:
= 90 - 30.12

= 59.88°

Learn more about bearing angle:
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7 0
1 year ago
An interior painter is painting a wall that is 8 feet by 14 feet he needs to determine how much paint he will need for the job i
bagirrra123 [75]
8*14=112/40=2.8
2 and 4/5 cans of paint I believer
3 0
2 years ago
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when buying a new dress, you have the choice of 3 different lengths, 5 different colors, and 2 different styles. How many choice
Thepotemich [5.8K]
Three choice because the choice are all different
5 0
3 years ago
Read 2 more answers
Jocelyn’s plane travelled 500 mph for 7.3 hours. How far did her plane travel?
kogti [31]

Answer:

Jocelyn's plane travelled 3650 miles.

Step-by-step explanation:

mph stands for miles per hour.

Let's set up an equation.

total miles = speed(hours)

Jocelyn's plane travelled 500 mph for 7.3 hours.

total miles = 500(7.3)

Multiply.

total miles = 3650

Jocelyn's plane travelled 3650 miles.

Hope this helps!

3 0
3 years ago
given the following functions f(x) and g(x), solve (f g)(3) and select the correct answer below: f(x) = 6x 3 g(x) = x − 7 4 17 2
NeTakaya
Hello,
+++++++++++++++++++++++++++++++++++++++++
Thanks for the incorrect formula!
+++++++++++++++++++++++++++++++++++++++++
I have tested (fog)(x) ,(f*g)(x) and finally (f+g)(x)

f(x)=6x++++++++++++++++++++++++3
g(x)=x-7
(f+g)(x)=6x+3+x-7=7x-4
(f+g)(3)=7*3-4=17

Answer B
++++++++++++++++++++++++++++++++++++

3 0
2 years ago
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