If two line are perpendicular. The multiply of their slopes are equal to -1.
First line's slope is: -1/2x because if the line equation is form of y=ax+b a is slope.
Let say second line's slope is m
m.-1/2=-1 so m=2
y=ax+b is general form of linear function/equation. (a=slope)
y=2x+b
If this line passes through the point (2,-2),if we write -2 to y and 2 to x, the equation becomes true.
-2=4+b
b=-6
Thus,
y=2x-6 is true answer.
1.08 km^2 you get this by converting 900 meters to .9 km and then just multiply the 2 numbers together to get the area
Here are the steps to solving:
1) Write out problem 3.6+7.2k <25.2
2) Subtract 3.6 7.2k <21.6
3) Divide by 7.2 k <3
So k<3 would be your answer
Answer:
3/8 or 0.375 or 37.5%
Step-by-step explanation:
red, blue, yellow gumballs = 125 total
green gumballs= 75
75 green/200 total gumballs
simplified = 3/8
Answer:
Step-by-step explanation:
The sin(30) = 1/2
The sin(30) = 1/2 = opposite / hypotenuse
Opposite = 7
hypotenuse = opposite / sin(30)
hypotenuse = 7 / (1/2) = 7 *2 / 1 = 14
The long side can be found using the Pythagorian Theorem.
a^2 + b^2 = c^2
a = 7
b = ?
c = 14
14^2 = 7^2 + b^2
196 - 49 = b^2
147 = c^2
147 = 3*7 *7
sqrt(b^2) = sqrt(3*7*7)
b = 7 sqrt(3)