Answer:
Step-by-step explanation:
See the figure below.
This is how you graph directly from the equation in the slope-intercept form (y = mx + b) without having to create a table of x and y values.
The equation is
y = -2/3 x + 1
Compare it with
y = mx + b
b = 1
The y-intercept is 1, so mark 1 on the y-axis. (You already did.)
I placed a black dot there.
The slope is m.
m = -2/3
slope = m = rise/run
A slope of -2/3 can be though of as -2 rise and 3 run. That means start from the y-intercept, and go -2 in y (a rise of 2 down) and 3 in x (a run 3 right). Point graphed in red.
Mathematically, -2/3 is the same as 2/(-3), so starting again from the y-intercept, this slope can also be though of as rise of 2 in y (a rise of 2 up) and a run of -3 in x (a run of 3 left). Point graphed in green.
The line is graphed in blue.
First find the value of h, or the height using the pythagorean theorem.
13^2=15^2+h^2
289=225+h^2
h^2=64
h=8
Then use the formula bh/2 to find area of the triangle.
10*8/2=40
Final answer: A
To multiply these, we use the FOIL method (first, outside, inside, last). Also, 1√2 is equivalent to √2. It's just like saying 1x is the same x.
Multiplying the first values will give you:
√2 * √6 = √12 = √4*3 = √2*2*3 = 2√3
Multiplying the outside values will give you:
√2 * -√10 = -√20 = -√4*5 = -√2*2*5 = -2√5
Multiplying the inside values will give you:
√6 * √6 = √36 = 6
Multiplying the last values will give you:
√6 * -√10 = -√60 = -√4*15 = -2√15
Now you can combine all of the resulting values:
2√3 - 2√5 - 2√15 + 6
I believe this is the answer you're looking for.
He needs to finish 11/14, and he already finished 5/13, so the remaining required to finish is 11/14-5/13=143/182-70/182=73/182
