Answer:
a = 9
Step-by-step explanation:
For solve the problem we can use the Pythagorean theorem in this way
a^2 + (3√3)^2 = (6√3)^2
If we solve the equation we have
a^2 + 27 = 108
a^2 = 81
a = +/-9
we take only the the positive value because a length can’t be negative
a = 9
Given:
Consider the equation is:
To prove:
by using the properties of logarithms.
Solution:
We have,
Taking left hand side (LHS), we get
Hence proved.
Ok, well a square is basically two triangles, right? the 45 degree right triangle. if you consider the rules for a 45 degree right triangle, you get: x, x, 2sqrt(x)
plugging in 8, you get the diagonal to be 2sqrt(8) or 4sqrt(2)
9514 1404 393
Answer:
C. x -2y = 8
Step-by-step explanation:
One way you can do this is to use the form ...
(Δy)(x -x1) -(Δx)(y -y1) = 0
where Δx = x2 -x1 = 4 -2 = 2, and Δy = y2 -y1 = -2 -(-3) = 1
This gives ...
(x -2) -2(y -(-3)) = 0 . . . above form with numbers filled in
x -2y -8 = 0 . . . . . . . general form
x -2y = 8 . . . . . . . . . standard form
_____
<em>Additional comment</em>
You can use any of several other strategies, including finding the slope and y-intercept, then rearranging the equation.
Another strategy that works is to <em>try the answer choices</em>. You might notice that the first given point works in the first equation, so it may make sense to try the second given point in each equation.
The above version of the equation of a line is a variation on one that says the slope of a line is the same everywhere:
<span>x2 + 16 = 2(x+8)
when you factorise 2 out</span>