The coordinates of the point intersection of lines (-1, -1)
If you want solve:
y = -2x - 3, y = 3x + 2
-2x - 3 = 3x + 2 |+3
-2x = 3x + 5 |-3x
-5x = 5 |:(-5)
x = -1
Put the value of x to the first equation:
y = (-2)(-1) - 3 = 2 - 3 = -1
x = -1, y = -1
Height covered by the plane=h= 500 feet
Distance covered by the plane along the ground=d= 2 mile
Now, convert the mile into feet,
1 mile = 5280 feet
2 mile = 10560 feet
Now, use the formula
h= d tanθ
tanθ= h/d
tanθ= 500/10560
tanθ= 25/528
Take the tan⁻¹ on both side,
θ= tan⁻¹(25/528)
θ =2.71°
Every line that does not have the slope of 2/7 is perpendicular to this line.
In order to find this fact, we first must find what is perpendicular. To do that, we first have to find the slope of this line. We can do this by solving for y.
7x + 2y = 3
2y = -7x + 3
y = -7/2x + 3/2
Now we can take the slope of -7/2 and flip and negate it. This will give us the perpendicular slope (2/7). Now we know any line that does not have this slope is not perpendicular to this line.
Answer:
24 square inches
Step-by-step explanation:
First box: 3 x 4 = 12
Second box: 3 x 4 = 12
Added together = 24
