The -1 affects the coefficient of the entire term.
Without the -1,
the term has a positive coefficient.
(3a)² = 9a²
However, with the -1,
the term has a negative coefficient.
-(3a)² = -9a²
52,000$ because 52,000 is 2/3 of 72,000 and 12 is 2/3 of 18
Answer:
The second option and the last option
Step-by-step explanation:
10^5 equals 100000 and if you try all options the only 2 that also equal 100000 is those two.
Answer:
w > -1
Step-by-step explanation:
53w + 13 < 56w + 16
Get w to one side.
Subtract 53w from both sides.
13 < 3w + 16
Get 3w by itself.
Subtract 16 from both sides.
-3 < 3w
Divide both sides by 3 to solve for w.
-1 < w
or
w > -1
I hope this helps!
If a line is perpendicular to another, it means that the slope of the first line is equivalent to the negative reciprocal of the second line. In simple terms, that means the slope of the first line is the same as -1 over the slope of the perpendicular line (-1/m).
So, we just need to do -1/-2 (as -2 is the slope of the perpendicular line) to work out the slope of the first line. -1/-2 is the same as 1/2, or 0.5.
Now, we know the equation of the first line is y = 1/2x + b.
We just need to substitute in the coordinates (6,1) respectively into the x and y values and we get:
(1) = 1/2(6) + b
Now let's simplify:
1 = 3 + b
Now we just need to find the y-intercept (which is b), and to do this, we just need to subtract 3 from both sides of the equation to isolate the b:
1 - 3 = b
-2 = b
Now that we know our b value, we just have to rewrite the whole equation, and you'll have your answer:
y = 1/2x - 2