Step-by-step explanation:
(-3y^2+24y)(-6y^2-3y)
open the bracket and collect the like terms
-3y^2-6y^2+24y-3y
-9y^2+21y
5^0=1
Any exponent to zero power equals 1
Step-by-step explanation:
log (√1000000x)
Rewrite √1000000x as (1000000x)1/2.
expand long ((1000000x)1/2) by moving 1/2
oby moving logarithm.
1/2 longth (1000000x)
Rewrite
log
(1000000x) as log(1000000)+log(x).
1/2(log(1000000)+log(x))
Logarithm base 10 of 1000000 is 6.
1/2(6+log(x))
Apply the distributive property.
1/2.6+1/2 log(x)
Cancel the common factor of 2.
3+1/2 long(x)
Combine 1/2 and log(x)
3+ long(x)/2
Answer:
y-6=1/2(x-4)
Step-by-step explanation:
y-y1=m(x-x1)
y-6=1/2(x-4)
Answer:
The equation of line is shown below.
Step-by-step explanation:
The equation of line is

It is the point slope form of a line, therefore the slope of the line is
and the line passing through (4,-1).
Rewrite the above equation in slope intercept form.



The point slope form of a line is

Where m is the slope and b is y-intercept.
Therefore the slope of the line is
and the y-intercept of the line is
.
Slope is defined as

Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.
The y-intercept is
.

Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.