Answer:
x = 9
Step-by-step explanation:
For a vertical line, slope is undefined as tan π/2 is undefined. Therefore we cannot express the equation of straight line in terms of it's slope.
For a vertical line, equation is given by, x = c where c is the point on x axis from which the given line passes.
Therefore x = 9 is the equation.
You have three options, all of them work.
sin(angle) = opposite/hypotenuse
cos(angle) = adjacent/hypotenuse
tan(angle) = opposite/adjacent
You are already given the length of the lines, so all you can is to take the inverse of whatever you choose to get the angle.
(5/13) = 22.62
(12/13) = 22.62
(5/12) = 22.62
5) Distance from earth and moon
= 384,000 kilometers
= 3.84 x 10^5 kilometers <-------------scientific notation form
----------------
6)
1.969 x 10^8
= 196,900,000 <-------------standard form
7)
6 x 10^0 / 7 x 10^-3 = (6/7) x 10^(0 + 3) = 0.857 x 10^3 = 857
About 857 times longer as anaconda compared to an ant.
8)
10 cm a year but a year has 52 weeks = 0.19 cm ≈ 0.2 cm per week
So you should you mm to measure and it's more accurate. So it's about 2 mm per week.
Answer:
In terms of typing this in on a keyboard, you could say -sqrt(35)/2
===================================================
Work Shown:
We'll use u-substitution here
Let u = x^2, so du/dx = 2x which rearranges to du = 2x*dx and we can say xdx = du/2
Because we are changing from x^2 to u, this means we need to change the limits of integration
If x = -2, then u = x^2 = (-2)^2 = 4
If x = 0, then u = x^2 = 0^2 = 0
Despite 4 being larger than 0, we still place 4 at the bottom limit and we'll just swap them later.
This means we have the following steps
Notice when I swapped the limits of integration (4 and 0 to 0 and 4) I placed a negative sign out front.
The rule is