Answer
Find out the value of x.
To prove
By using the trignometric identity
As given in the diagram.
Perpendicular = x
Hypotenuse = 6
Put in the above identity
Put in the above
x = 4.6 cm (Approx)
Therefore Option (c) is correct .
3X+9X=180
12X=180
X=15°
Angle 1=3X
Angle 1 =45°
That's your answer.
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.
One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:
x^2 + 6x + 8 = x + 4
We can then combine like terms, or move everything to one side. So we get:
x^2 + 5x + 4 = 0.
Then we can use the quadratic formula to solve for x.
x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)
This simplifies into:
(-5 +/- 3)/2
Finally we add and subtract:
(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4
And our solution is x = -1, x = -4
26 divided by 6 = 4, so she put four plates on each table
I hope this helps ;)
The length of the parking lot is 89m.
To find the length, we can abide by the following formula:
L = A/W
where L is the length, A is the area, and W is the width.
Given this formula, we can set up an equation:
7,031 / 79 = 89
The length of the parking lot is 89 meters.
