Answer:
The perpendicular line would be y = -2x - 4
Step-by-step explanation:
First we must solve the original equation for y.
x - 2y = 7
-2y = -x + 7
y = 1/2x - 7/2
In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 2 = -2(x + 3)
y - 2 = -2x - 6
y = -2x - 4
9514 1404 393
Answer:
30°, 150°
Step-by-step explanation:
You know the answer to this because you have memorized the short table of trig function values.
sin(θ) = 1/2 for θ = 30° and θ = 150°
It is 8 to the one third power which is the same as the cube root of 8 which is 2. The answer is 2
Answer:
Area of the rectangular Field = 3 8/9 km²
Step-by-step explanation:
Length of the field = 2 1/3 km
Width of the field = 1 2/3 km
Area of a rectangular Field = length × width
= 2 1/3 × 1 2/3
= 7/3 × 5/3
= (7*5)/(3*3)
= 35/9
Area of the rectangular Field = 3 8/9 km²
Perimeter of the rectangular Field = 2(length + width)
= 2(2 1/3 + 1 2/3)
= 2(7/3 + 5/3)
= 2(7+5/3)
= 2(12/3)
=2(4)
= 8 km
Perimeter of the rectangular Field = 8 km