Answer:
The system has two distinct solutions.
Step-by-step explanation:
The given system of equations are:
and
In order to determine the number of solutions the two equations have, we need to equate the two equations to obtain,
We now group all terms on the left hand side and equate everything to zero.
This is now a quadratic equation in 
with 
.
At this stage we check the number of solutions using the discriminant.
Since the discriminant is greater than zero, the equation will have two distinct roots.
Therefore the system of equations has exactly two distinct solutions.
If you wish to see these solutions, you can continue as follows;
We factor 
to obtain,
When 
Then we have,
When 
Then we have,
See graph
Answer:
a, d
Step-by-step explanation:
A direct variation graph will just have points going in a straight line.
The only graphs with a straight line are (a) and (d).
Answer:
x = 14.6
Step-by-step explanation:
hopes this helps
<span>Point B has coordinates (3,-4) and lies on the circle. Draw the perpendiculars from point B to the x-axis and y-axis. Denote the points of intersection with x-axis A and with y-axis C. Consider the right triangle ABO (O is the origin), by tha conditions data: AB=4 and AO=3, then by Pythagorean theorem:
</span>
<span>
.
</span>
{Note, that BO is a radius of circle and it wasn't necessarily to use Pythagorean theorem to find BO}
<span>The sine of the angle BOA is</span>
Since point B is placed in the IV quadrant, the sine of the angle that is <span> drawn in a standard position with its terminal ray will be </span>
<span /><span>
</span><span>
</span>
.
1st one as they go up in constant values
