Answer:
a = -0.3575
Step-by-step explanation:
The points A and D lie on the x-axis, this means that they are the x-intercepts of the parabola, and therefore we can find their location.
The points A and B are located where
This gives
Now given the coordinates of A, we are in position to find the coordinates of the point B. Point B must have y coordinate of y=2 (because the base of the trapezoid is at y=0), and the x coordinate of B, looking at the figure, must be x coordinate of A plus horizontal distance between A and B, i.e
Thus the coordinates of B are:
Now this point B lies on the parabola, and therefore it must satisfy the equation 
Thus
Therefore
If ZM is an obtuse angle (greater than 90), then ZM and ZP will not add up to 90.
If ZP is 120, then ZM and ZP will not add up to 90.
There are multiple contradicting statements within this problem, as noted above.
Hope this helps!
Answer:
The graph is attached.
The relation is function.
Step-by-step explanation:
Find the x-intercept. Substitute 
into the equation and solve for "x". Then, this is:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
In this case "b" is:
Therefore, since the line passes through the points (
and 
, you can graph it. (Observe the graph attached)
Since it is a line, then <em>the relation is a function</em>, and the Domain and the Range of Linear Functions are:
Answer:
Step-by-step explanation:
I think the answer choices were supposed to be:
Pythagorean Theorem: a²+b²=c²
5²+b²=8²
25+b²=64
<em>Subtract 25 from both sides</em>
b²=39
<em>Square root both sides</em>
b=
Our answer is
