For this problem, you would use the slope formula, or m=(y2-y1)/(x2-x1). So, let's put in what we know.
The x's and y's correspond with our coordinates. So let's plug that in:
m=(6-0)/(2-0)
m=(6)/(2)
m=3
So, the slope of your line is 3.
The decomposition of the parallelogram into triangle then into a rectangle is shown below
The measurement we need to calculate the area is the length and the width of the rectangle; 15 feet and 10 feet
Area = 15 × 10 = 150 feet²
The answer to question 34:
Let 'x' = pounds of gravel. The ratio of mulch to gravel is given 2 1/4 | 1 1/3. Which equals 9/4 | 4/3 = 27/16.
So the total gravel and much is equal to x + 27/16x = 172
Solving for 'x'
43/16 x = 172
x = 172 (16/43) = 64 pounds of gravel Mulch = 27/16x = 64 (27/16)= 108 pounds
The answer to question 35:
A.) 1,080 beats per minute at rest and 1,500 beats per minute while running.
B.) 4,500 (while running) - 3,240 (at rest) = 1,260 more beats while running than at rest.
X=hours of plan A
y=hours of plan B
wed: 5x+6y=12
thu: 3x+2y=6
so
5x+6y=12 and
3x+2y=6
we can eliminate y's by multiplying 2nd equation by -3 and adding to first equation
-9x-6y=-18
<u>5x+6y=12 +</u>
-4x+0y=-6
-4x=-6
divid both sides by -4
x=-6/-4
x=3/2
x=1.5
sub back
3x+2y=6
3(1.5)+2y=6
4.5+2y=6
2y=1.5
y=0.75
Plan A=1.5 hours
Plan B=0.75 hours
