Here, I've attached a picture of the triangle that accompanies this explanation.
cot = = =
Now view the triangle.
PS. Angle theta will have a coordinate of (-, +) because it is in quadrant II.
sin of the angle would be opposite/hypotenuse, so sin =
cos of the angle would be adjacent/hypotenuse, so cos =
tan of the angle would be opposite/adjacent, so tan =
Step-by-step explanation:
a) gradient= y2-y1/x2-x1
gradient of AB:
gradient=-4-1/2-3
=-5/-1
=5
gradient of BC:
=-5+4/7-2
=-1/5
b) as the priduct of both gradient is -1 ,both lines are perpendicular.
c) as we have seen lines are perpendicular so it is a right angled triangle.
Hi there
the dividend per share of stock
15,000÷10,000
=1.5 per share
if you owned 50 shares
1.5×50
=75
Hope it helps
Answer:
<em>y: (0 , 2.5)</em>
<em>x: (3.5 , 0)</em>
Step-by-step explanation:
Y-intercept : (0 , 2.5)
X-intercept: (3.5 , 0)
When looking at the intersection on the y-axis, the x-coordinate will be 0. And when looking at the intersection on the x-axis, the y-coordinate will be 0.
Answer: Third option.
Step-by-step explanation:
By definition, Rational Functions have the following form:

Where
and
are polynomials.
The Restrictions of the Domain of Rational Functions are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.
In this case, you have the following Rational Function:

The Restrictions of the Domain can be found applying this steps:
- Make the denominator equal to 0:

- Solve for "x":

Then, the Domain of this function includes all "x" not equal to 2.
Therefore, the answer is: