H ( x ) = - 6 + x
m = 1 ( the slope )
b = - 6 ( y - intercept )
x - intercept:
0 = - 6 + x
x = 6
The graph is going through Quadrants: I, II and IV.
Answer:
B ) Quadrant II, because the slope is positive and y-intercept is negative.
Answer:
BDC is half of mBC = 11°
Easily you see that C is A + BDC = 23°
Since C = 23° so mDC is twice = 46°
x
Answer:
x = 1
Step-by-step explanation:
There are a couple of ways to solve this. One is to graph the left side of the equation, graph the right side of the equation, and look for the point where those graphs intersect. It is at x = 1. The first attached graph shows this solution.
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Another method for solving such an equation is to subtract one side from the other and look for the value of x that makes the resulting expression zero.
(-2x +3) -(-3(-x) -2) = 0
A graphing calculator doesn't need to have this simplified. If it is simplified, it becomes ...
-5x +5 = 0
So, the graphed line is y = -5x+5. Its x-intercept is x=1, the solution of the original equation. The graph of this is shown in the second attachment.
Answer:
3676.44 rad/min
Step-by-step explanation:
It is a problem about the angular speed of the car's wheel.
You can calculate the angular speed by using the following formula, which relates the tangential speed of the wheels (the same as the speed of the car) with the angular speed:
( 1 )
v: speed of the car = tangential speed of the wheels = 47mph
r: radius of the wheels = 27/2 in = 13.5 in
you change the units of the speed:

next, you replace the values of v and r in the equation (1):

Then, the car's tires are turning with an angular speed of 3676.44 rad/min
The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.