Answer:
18√6 or 44.1
Step-by-step explanation:
3√216= 3√4*9*6=3*2*3√6=18√6 = 44.1
W=340-z (vice versa)
x=540-w (vice versa)
y=-150+x (vice versa)
z=-50+y ( vice versa)
Hey there!
Use the slope formula.
m= (y2-y1)/(x2-x1)
Plug in the points. (-4,5) and (4,1)
m= (1-5)/(4-(-4)
m= -4/4+4
m=-4/8
m=-1/2
To find the y-intercept, first plug it into the the point slope. You just need one set of points for this, I will use (4,1)
y-y1=m(x-x1)
y-1= -1/2(x-4)
y-1=-1/2x+2
Add 1 to the other side.
y= -1/2x+3
The 3 is your y-intercept. It is in slope intercept form now. (y=mx+b) The b is the y-intercept.
The equation of the line is usually represented by the slope intercept form, which you already have: y=-1/2x+3.
I hope this helps!
~kaikers
Answer:
D
Step-by-step explanation:
A polynomial in standard form has the terms in ascending order.
In other words, the term with the largest degree is on the left, followed by the term with the second largest degree, etc.
The largest term in this polynomial is 2x³. Thus, we need to start with that.
The only choice that starts with 2x³ is choice D.
Thus, choice D is in standard form.
And examining choice D, we see that it is in ascending order all the way through.
Answer: Either 2, 5, or 8
This means the number 426 is divisible by 6. So are 456 and 486
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Explanation:
A number is divisible by 6 if both of the following are true
- The number is divisible by 2
- The number is divisible by 3
This is simply because 6 = 2*3. So if 6 is a factor of a number, then 2 and 3 must be factors.
- To have 2 be a factor, the units digit must be in the set {0,2,4,6,8} which is the case here (the units digit is 6 in this case). Therefore we know the number is a multiple of 2 regardless of what the other digits are.
- To have 3 be a factor, the digits must add up to a multiple of 3. Through trial and error, we see that 0 doesn't work because 4+0+6 = 10 which is <u>not</u> a multiple of 3. Same goes for 4+1+6 = 11, but 4+2+6 = 12 is a multiple of 3.
Therefore, 426 is a multiple of 6
Increment that middle digit 2 by 3 and we jump from 426 to 456. Those three digits add to a multiple of 3 as well (4+5+6 = 15). Following that line of logic, we go from 456 to 486 as the last possible three digit number that has these conditions of having 4 first and 6 last, and the number is a multiple of 6.
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In short,
The numbers 426 and 456 and 486 are all multiples of 6 since they are multiples of 2 and 3 at the same time.
So we could replace that middle digit with either 2, 5 or 8.