It could be 10 which would make the triangle a right triangle, since the values follow the Pythagorean theorem (a^2+b^2=c^2)
A parallel line has the same slope as the original line. So in this case the slope of the line is also 3/4. Now how do we know if it intersects the point? We need to adjust the y intercept.
Currently, we know the equation of the line is y= 3/4 x + b, where b is the thing we are looking for. We also have a point, which supplies the x and y. Plug that in and solve for b
-2 = (3/4)*(12) + b
You'll get b= -11
So the equation of the parallel line intersecting the point given is y= 3/4x -11.
I am assuming that the slope is 3/4 based on the way you formatted the original equation, but it's the same steps if the slope is different.
I got 41.4 lbs if you round to the nearest tenths
ANSWER
10 weeks, $310
EXPLANATION
We have a system of linear equations as both equations need to be satisfied by the same ordered pair (x,y):
y = 25x + 60
y = 30x + 10
We can solve this by substitution. Since y is equal to 25x+60, we can substitute in 25x + 60 for y in the equation y=30x+10
y = 30x + 10
25x + 60 = 30x + 10
Subtract 25x from both sides
60 = 5x + 10
Subtract 10 from both sides and then divide both sides by 5
50 = 5x
x = 10
x represents time in weeks, so 10 weeks.
Find y, the amount of money, by substituting x=10 into either equation.
If we use y = 30x + 10, then
y = 30x + 10
y = 30(10) + 10
y = 300 + 10
y = 310
y = 310 implies $310 so the answer is 10 weeks, $310.
Answer:
Step-by-step explanation:
I assume you are talking about square roots when you say root...
Sqrt(-9) = 3i
Sqrt(-12) = 2Sqrt(3)i
Complex number is 3 + 2Sqrt(3) i
