Answer:
distribute the 2 on the left side to become 2(x+7)-->2x+14=-4x+14, add 4x to both sides to become 2x+14+4x=-4x+14+4x-->6x+14=14, subtract 14 from both sides 6x+14-14=14-14-->6x=0 and divide both sides of the equation by 6 to get x alone, 6x/6=0/6-->x=0 so x would equal 0.
Step-by-step explanation:
Hey there! :D
Think of this like a triangle. The dock is 15 feet above ground. It is the side of the triangle. The line connecting the bottom of the dock to the base of the conveyor belt is 40 feet. This is like the base.
The conveyor belt itself is at a diagonal, and should be the hypotenuse.
Use the Pythagorean theorem.
a^2+b^2=c^2
15^2+40^2= c^2
225+1,600= c^2
Add the values together.
1,825= c^2
Find the square root of 1,825.
c= 42.7 (rounded to the nearest tenth)
The conveyor belt is 42.7 feet long.
I hope this helps!
~kaikers
8/10 > 3/4 > -3/4 > -7/10
To solve this, you must put the equation in slope-intercept form, which is y=mx+b.
To do this, isolate y.
First, subtract 3x from both sides.
3x + 9y = -9
3x + 9y - 3x = 9y
-9 - 3x = -9 - 3x
9y = -9 - 3x
Now, divide both sides by 9.
9y = -9 - 3x
9y / 9 = y
-9 / 9 = -1
-3x / 9 = -0.33x = -1/3x
y = -1 - 1/3x
In y = mx + b form:
y = -1/3x - 1
In slope intercept form, m is the slope.
In our answer, -1/3 is m, so it is the slope.
So the final answer is that the slope is -1/3.
Hope this helps!
