Answer:
If D< 0, the roots of the quadratic equation will b complex.
Step-by-step explanation:
Let 
is the given quadratic equation.
So, if the Discriminant (D) = 
, the the equation will have only complex solutions.
Complex roots are represented in the form of 
1. <u> x represents the X axis (real) co ordinate,</u>
<u>y represents the Y axis (imaginary) coordinate</u>
<u />
<u />
2. Also, the graph of the with equation D < 0 NEVER CROSSES the X - axis, as there are no real roots of the equation, only complex roots.
3. Here. roots are always identical but are opposite in signs. Such pair or roots with opposite sign are called CONJUGATE PAIRS.
5x + 9 = x - 23
move x to the other side
sign changes from +x to -x
5x-x+9= x-x-23 ( combine like terms)
5x-x+9= -23
4x+9= -23
move -9 to the other side
4x+9-9= -23-9
4x= -23-9
4x= -32
divide both sides by 4 to get x by itself
4x/4= -32/4
answer:
x= -8
Beautiful ! What a great exercise ! I won't even check to verify
that 1:10⁻¹⁹ is an appropriate scale to map the Milky Way onto a
football field. I'll just accept it and go from there.
(4.4 light years) x (10⁻¹⁹) = (2.5848 x 10¹³ miles) x (10⁻¹⁹)
= 2.5848 x 10⁻⁶ mile
= 0.164 inch .
(1,391,400 kilometers) x (10⁻¹⁹) = 1.3914 x 10⁻¹⁰ meter
Research Conclusions:
If the Milky Way shrinks to fit on a football field, then
-- Alpha Centauri is 0.164 inch from us.
-- The sun's diameter is about 1.39 times that of a Hydrogen atom.
Playing with this same fun concept a little more:
-- The Earth is sailing around in its orbit, once a year,
about 0.000015 millimeter from the sun.
-- It takes light almost 27 years to travel 1 inch !
wow !
Answer:
452.16 m³
Step-by-step explanation:
d = 3h = 3×4m = 12 m
r = d/2 = 12m/2 = 6 m
V = Ab×h = π·r²·h
= 3.14×36m²×4m
= 452.16 m³
Answer:
y = .025x +20
The y intercept is the value when x = o, or the starting value. In this case, it is the temperature in degrees F at a depth of 0 meters.
Step-by-step explanation:
We have a point a (0,20) and a point at (2 , 20.05)
We can find the slope from
m = (y2-y1)/(x2-x1)
= (20.05-20)/(2-0)
= .05/2
=.025
One of the points (0,20) is the y intercept since x=0
We can use the slope intercept form of the equation
y= mx+b
y = .025x +20
The y intercept is the value when x = o, or the starting value. In this case, it is the temperature in degrees F at a depth of 0 meters.
