Answer:
Step-by-step explanation:
When it comes to exponential expressions and logarithms, the following relationship applies:
Here, it means ...
X + y = 16 (1)
x/y = 3 (2)
-------
x + y = 16
x = 16 - y
1. Substitute x into equation 2
16-y/y = 3
16 - y = 3y
16 = 4y
y = 4
2. Now substitute y into equation 1
x/y = 3
x/4 = 2
x = 12
Therefore, x = 12, y = 4
Answer:
260,548668 or 260.55 round to the nearest hundreds
Step-by-step explanation:
Area of the trapezoid:
[(major base + minor base)x height]/2
[(22 + 12) x 12]/2 = 204 cm^2
radius = diameter / 2 = 12 / 2 = 6 cm
Area of a semicircle
(radius^2 x pi)/2 = (6^2 x pi)/2 = 56.548668 cm^2
total area = 204 + 56,548668 = 260,548668 cm^2
Slope of the line = (0- -5) / 6-3) = 5/3
in point slope form the equation is
y - 0 = 5/3( x - 6)
y = 5/3x - 10
multiply through by 3:-
3y = 5x - 30
In Standard form this is
5x - 3y = 30 Answer
Since most of these are mixed number you have to convert them into improper fractions.
For an example 2 3/4 x 1/2
First you would have the convert 2 3/4
You would add 2 to 3 then multiply 2 to 4
So it would be (2x4) + 3
You keep the denominator of the originally fraction so it would be 11/4
Then to finish you would multiply straight across so
11x1= 11
4x2=8
11/8
1 3/8
Hope this helps!!
