Answer:
43.5
Step-by-step explanation:
217.5/5
43.5
Answer:
6 5/6
Step-by-step explanation:
8
- 1 1/6
We need to borrow from the 8
We will borrow 1 from the 8 and make it a 7. The 1 will be written in the form 6/6
7 6/6
- 1 1/6
-----------------
6 5/6
A function is differentiable if you can find the derivative at every point in its domain. In the case of f(x) = |x+2|, the function wouldn't be considered differentiable unless you specified a certain sub-interval such as (5,9) that doesn't include x = -2. Without clarifying the interval, the entire function overall is not differentiable even if there's only one point at issue here (because again we look at the entire domain). Though to be fair, you could easily say "the function f(x) = |x+2| is differentiable everywhere but x = -2" and would be correct. So it just depends on your wording really.
Answer:
positive slope
(0,3)
slope = 2
Step-by-step explanation:
- Slope of the given line is positive
- If the line is sloping upward from left to right, so the slope is positive (+).
or if the angle made by the line to the x axis is < 90 it's slope is positive.
- y-intercept of the line is (0,3)
- The y intercept is the point where the line crosses the y axis. At this point x = 0.
- slope of the line is 2
- slope = (y2 - y1) / (x2 - x1)
lines passing through points (1,5) (0,3)
slope = (3 - 5) / (0 - 1)
= -2 / -1 = 2
The median triangle is a line segment that connects the vertex and the midpoint of the opposite side. Therefore, in the given, we can say that RS = QS
Equating RS and QS, we will find the value of X
RS = QS
5x-11 = 2x+7
5x-2x = 7+11 ⇒ combine like terms
3x = 18 ⇒ divide both sides by 3 to get the x value
x = 6
Find the value of RS and QS, in this, we will show that two are equal
5(6)-11 = 2(6)+7
19 = 19 ⇒ correct
Therefore RQ is the sum of RS and QS or simply twice the length of either segment
RQ = 19 x 2 = 19 + 19 = 38 (D)
