Y would equal 64
79+37=116
180-116=64
Answer:
- Graph B has one real root.
- Graph A has a negative discriminant
- Graph C has an equation with the coefficients a=1, b=4, c=-2.
Step-by-step explanation:
The number of real roots is the number of places where the graph intersects the x-axis. When the discriminant is negative, there are none. Graph A does not cross the x-axis, so has a negative discriminant.
Graph B intersects the x-axis at one point, so it has one real root.
Graph C has two real roots, consistent with the positive discriminant associated with the given coefficients:
_____
For quadratic ...
the discriminant is ...
and the roots are ...
Then the roots are only real when the discriminant is non-negative. The square root function will not give real values for a negative argument.
ANSWER
36√3 square units.
EXPLANATION
The area of a parallelogram is obtained by multiplying the base by the height.
We use the sine ratio to obtain the height.
The area becomes:
Answer:
37.03 sq. mm.
Step-by-step explanation:
A sector is "part" of a circle. The formula for area of a sector (in radians) is:
Area of sector =
Where
r is the radius (half of diameter)
is the central angle of the sector
In this problem, the diameter is given as 20.6, so radius would be:
Radius (r) = 20.6/2 = 10.3
The central angle is given as radians
Now, we substitute and find the value for the area:
Thus,
Area of sector = 37.03 sq. mm.
Answer:
x=<-11
Step-by-step explanation:
3x+18=<-15
3x=<-33
x=<-11