Answer:
Step-by-step explanation:
Given
Required
Determine the type of roots
Represent Discriminant with D; such that
D is calculated as thus
And it has the following sequence of results
When 
then the roots of the quadratic equation are real but not equal
When 
then the roots of the quadratic equation are real and equal
When 
then the roots of the quadratic equation are complex or imaginary
Given that ; This means that and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary
Answer:
32
Step-by-step explanation:
given the triangle is right triangle
c^2 = a^2 + b^2
40^2 = 24^2 + b^2
1600 = 576 + b^2
b^2 = 1024
b = 32
Answer:
∠B = 60°
a = 4.0 units
b = 6.9 units
Step-by-step explanation:
The triangle is right angled. The sum of all angles of a triangle is equal to 180 degrees.
The 3 angles are 90, 30 , ∠B .
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Thus, B = 180 - 120 = 60 degrees
by trigonometry,
sin(30) = 
= 0.5
a = (8)(0.5) = 4 units
Also,
cos(30) = 
= 0.866
b = (8)(0.866)= 6.928
Answer:
1 - F
2 - B
3 - H
4 - A
Step-by-step explanation:
1.
m = -2
b = 4
y < mx + b
y < -2x + 4
F
2.
m = 1
b = -2
y < mx + b
y < 1x -2
y < x - 2
B
3.
m = -4
y <= mx + b
H is the only one that follows those rules
4.
m = 1
y >= mx + b
A is the only one that follows those rules
Answer:
Step-by-step explanation:
The sample space should show all the possible outcomes.
The first option includes all 4 colors and both head and tails.
The second option is missing tails as an outcome.
The third option is missing blue.
The fourth option is missing tails.
So it must be the first one.
