z = 3m - 2n
Step-by-step explanation:
1000^m ÷ 100^n
Rewrite them in exponent form
That's
10^3m ÷ 10^2n
Since the bases are the same and they are dividing we subtract the exponents
That's
10^3m - 2n
Comparing it with 10^z
10^3m - 2n = 10^z
z = 3m - 2n
Hope this helps you
Answer:
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
For two lines to be perpendicular, the slope of one line is the negative reciprocal of the other line. The equation of the given line is
y = 2x - 2
Comparing with the slope intercept form,
Slope, m = 2
This means that the slope of the line that is perpendicular to it is -1/2
The given points are (-3, 5)
To determine c,
We will substitute m = -1/2, y = 5 and x = - 3 into the equation, y = mx + c
It becomes
5 = -1/2 × - 3 + c
5 = - 3/2 + c
c = 5 + 3/2
c = 13/2
The equation becomes
y = -x/2 + 13/2
Answer:
3s + 3t
Step-by-step explanation:
To simplify this expression, all you need to do is distribute the 3, which means you basically multiply whatever is in the parentheses by 3:
(s + t) * 3 =
3s + 3t
And that is the simplified form for this expression.
Hope this helps :)
15+3x-4+6x= 9x+11 add 6+3 then subtract 15-4
3y-4x+8x-y= 4x+2y add -4+8 then subtract 3-1
5x+8x+10x-3x= 20x Add 10+5+8 to get 23 then subtract 3
