Answer:
Step-by-step explanation:
Graph a line given a point and a slope
Plot the given point.
Use the slope formula to identify the rise and the run.
Starting at the given point, count out the rise and run to mark the second point.
Connect the points with a line.
Answer:
x=21
Step-by-step explanation:
cross multiplying:
x-6=15
x=15+6
x=21
Answer:
See below.
Step-by-step explanation:
I can do this but it's a pretty long proof. There might be a much easier way of proving this but this is the only way I can think of.
Write tan A as s/c and sec A as 1/c ( where s and c are sin A and cos A respectively).
Then tanA+ secA -1/ tanA - secA+1
= (s/c + 1/c - 1) / ( sc - 1/c + 1)
= (s + 1 - c) / c / (s - 1 + c) / c
= (s - c + 1) / (s + c - 1).
Now we write the right side of the identity ( 1 + sin A) / cos A as (1 + s) / c
So if the identity is true then:
(s - c + 1) / (s + c - 1) = (1 + s) / c.
Cross multiplying:
cs - c^2 + c = s + c - 1 + s^2 + cs - s
Simplifying:
cs - c^2 + c = cs - (1 - s^2) + c + s - s
Now the s will disappear on the right side and 1 - s^2 = c^2 so we have
cs - c^2 + c = cs - c^2 + c.
Which completes the proof.
Answer:
1. Convert the x-coordinate from Mixed number to Decimal number.
2. Move over 2.5 units to the left.
3. From -2.5, move down 4 units.
4. Mark the point.
Step-by-step explanation:
By definition, a coordinate plane is formed by the intersection of two perpendicular lines: The y-axis (which is a vertical line) and the x-axis (which is an horizontal line). The point in which the y-axis and the x-axis intersect is known as "Origin" and has the following coordinates:
You have this point:
You can identify that the x-coordinate is:
Since it is a Mixed number you can convert it into a decimal number dividing the numerator 1 by the denominator 2 and adding the result to the Whole number part 2. Then:
And the y-coordinate is:
To plot the point:
- Start at the Origin.
- Move over 2.5 units to the left (because the x-coordinate is negative).
- Then, from -2.5 you must move down 4 units (because the y-coordinate is negative).
- Mark the point.
See the picture attached.
Answer:
D
Step-by-step explanation: