Answer:

Step-by-step explanation:
Given,
Base of the triangle = 6
Hypotenuse of the triangle = 8
Let the height of the triangle = x
Therefore, According to Pythagoras Theorem,




Answer: 3.16
The first point, T = (x1,y1), and the second point, U = (x2,y2). Can be approximated as 3.16,so the distance between the two points is 3.16 units.
Answer:

Step-by-step explanation:
You know how subtraction is the <em>opposite of addition </em>and division is the <em>opposite of multiplication</em>? A logarithm is the <em>opposite of an exponent</em>. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.
We know that
; as a logarithm, the <em>exponent</em> gets moved to its own side of the equation, and we write the equation like this:
, which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."
One historical quirk: because we use the decimal system, it's assumed that an expression like
uses <em>base 10</em>, and you'd interpret it as "What power do I raise 10 to to get 1000?"
The expression
means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is
.
(If we wanted to, we could also solve this:
, so
)
=2 4/5
8/10+2
2+8/10=2 8/10
4/5- -2/1
(4x1)-(-2x5) divided by 5x1
=4- -10 divided by 5
=14/5
=2 4/5