Answer:
x = 36
Step-by-step explanation:
We have the equation (2/9)x + -2 = 6.
First, notice that adding a negative number is the same as subtracting by that number. So:
(2/9)x + -2 = 6
(2/9)x - 2 = 6
Now, we need to isolate the variable. Add 2 to both sides to cancel out the -2 on the left:
(2/9)x -2 + 2 = 6 + 2
(2/9)x = 8
Now multiply both sides by 9/2 to cancel out the 2/9 on the left:
(9/2) * (2/9)x = 8 * (9/2)
x = 72/2 = 36
Thus, x = 36.
<em>~ an aesthetics lover</em>
The answer would be be between 1 and 0.7
Answer:
#1. Identity #2. 0 #3. No solution
Step-by-step explanation:
#1.
5y + 2 = (1/2)(10y+4)
5y + 2 = 5y + 2
This would be identity as the equation of the left and right are the same. This is not to be confused with no solution(explained below).
#2.
0.5b + 4 = 2(b+2)
0.5b + 4 = 2b + 4
0.5 b - 2b = 0
b = 0
#3.
-3x + 5 = -3x + 10
This equation has no solution because when you try to bring the -3x to one side, the x variable itself gets eliminated. So, how is it different from identity? Well in the first equation, it is true that when we try to bring the 5y one side it eliminates the y variable, however, that is also true for the constants(since if we try to bring the 2 to one side, it will be 2-2 which will equal 0, thus eliminating each other), but in this case, even if we remove the x, the constants will not equal 0, thus it will have no solution.
<span>First of all, there should be coherence for the units of measurement -- either they are all meters or they are all ft. I would assume they are all ft.
The correct answer is 75 ft above. T
The explanation is the following: suppose the ground level is the x-axis, the 2 feet of the arch lie respectively on (0,0) and (100,0) on the ground level. Since the arch is 100ft high, the vertex of the parabola will be the point (100,100). Thus, we can find the equation describing the parabola by putting the three points we know in a system and we find that the equation of the parabola is y=(-1/100)x^2+2
To find the focus F, we apply the formula for the focus of a vertical axis parabola, i.e. F(-b/2a;(1-b^2+4ac)/4a).
By substituting a=-1/100, b=2 and c=0 into the formula, we find that the coordinates of the focus F are (100,75).
So we conclude that the focus lies 75ft above ground.</span>
Answer:
y = -3x-2
Step-by-step explanation:
the slope can be found using rise/run which comes out to be -3/1 and you can drop the 1 from the fraction to have -3. and then the y-intercept is found from where the line crosses the y-axis
