Answer:
Step-by-step explanation:
Line g passes through (-2,6) and (-3,2).
The slope of line g is given by:
Let's substitute the values to get:
The equation that is perpendicular to line g will have a slope that is the negative reciprocal of 4.
i.e -1/4
If this line passes through (P,Q), then the equation is:
Answer:
Step-by-step explanation:
27 is the "center" of a range of measurements of the height of the guard rail. The height could be as much as 30 inches or as little as 24 inches. The absolute value operator encloses "x - 27," where 27 is the "center." The acceptable excess or acceptable deficiency is 3 inches.
So now we can eliminate possible answers B and C, in both cases because 27 is inappropriately greater than 3.
Narrowing down our choices, we have h + 27 and h - 27 inside the absolute value operator. 27 is a positive quantity (height of the guard rail), so the inequality showing +27 as the "center" is correct; that is
D: |h - 27| ≤ 3 (measurements in inches).
Answer:
1. 4
2. 6
3. 11
Step-by-step explanation:
Plug each number into the equation (in place of x) to get the answer.
1. f(-2) = -2+6 = 4
2. f(0) = 0+6 = 6
3. f(5) = 5+6 = 11
Answer:
Sometimes
Step-by-step explanation:
Lets see
Let x be a positive number
x=3
|3| = 3
True
Let x =0
|0| = 0
True
Let x be a negative number
x=-3
|-3| =-3
3 = -3
False
So this is sometimes true
