Answer:
The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.
Step-by-step explanation:
The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.
For example, if we consider a quadratic equation x² + 6x + 1 = 0, then two of its roots are - 3 + √8 and - 3 - √8 and they are conjugate of each other. (Answer)
Answer:
The position P is:
ft <u><em> Remember that the position is a vector. Observe the attached image</em></u>
Step-by-step explanation:
The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity 
is:
Where 
is the initial height = 0 for this case
We know that the initial velocity is:
82 ft/sec at an angle of 58 ° with respect to the ground.
So:
ft/sec
ft/sec
Thus
The height after 2 sec is:
Then the equation that describes the horizontal position of the ball is
Where
for this case
ft / sec
ft/sec
So
After 2 seconds the horizontal distance reached by the ball is:
Finally the vector position P is:
ft
Answer:
he circle has a radius of π inches, so use a radius of about 3.1 inches.
Step-by-step explanation:
The circumference of a circle can be described as the linear distance round the circle
The circumference of a circle = 2nr
n = 3.14
r = radius
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
diameter = 2r
If diameter = n2
diameter = 3.14 x 2 = 6.28
Radius = 1/2 x diameter = 6.28/2 = 3.1
Step-by-step explanation:
Simple
We will subtract
21 - 16 = 5
So 5 more students can join the class
Answer:
True
Step-by-step explanation:
“Rate of change” means the same as “slope.” If you are asked to find the rate of change, use the slope formula or make a slope triangle.
