The gradient is the direction of steepest ascent. 5 is the coefficient of x, <span>y=mx+c,</span> so 5 is the gradient to this algebraic equation.<span />
Answer:
2
Step-by-step explanation:
The average rate of change from x=1 to x=2 is the same as finding the slope of a line at x=1 and x=2.
So we are going to need to corresponding y coordinates.
What y corresponds to x=1? y=3
What y corresponds to x=2? y=5
So we have the ordered pairs (1,3) and (2,5).
Line the points up vertically and subtract vertically then put 2nd difference over 1st difference.
(2 , 5)
-(1 , 3)
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1 2
The average rate of change is 2/1 or just 2.
Now since we were asked to find the average rate of change given the function was a line, it really didn't matter what two points you used on that line.
Answer:
6
Step-by-step explanation:
Plug in 3 into both expressions
Then add those results
2(3)+21=6+21=27
3-24 =-21
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6 is the sum of 27 and -21
Answer:
B. m<3 = 100°
C. m<2 + m<4 = 80°
Step-by-step explanation:
Given that n is parallel to m, the following are the measure of each numbered angles:
m<1 = 60° (vertical angles are congruent)
m<2 = 20° (corresponding angles are congruent)
m<3 = 180 - (m<CAB + m<1) (sum of ∆)
m<3 = 180 - (20° + 60°)
m<3 = 100°
m<4 = 60° (corresponding angles are congruent)
Therefore, the following statements are TRUE:
B. m<3 = 100°
C. m<2 + m<4 = 80°
Answer:
I believe that just a singular line would be just a singular line while 2 or more lines mean they are on a plane. I can't remember this lesson exactly. sorry.
Step-by-step explanation: