Answer:
38.485(correct to 5 significant figure)/ 12.25π
Step-by-step explanation:
=38.485(cor. to 5 sig.fig.)/ 12.25π
to find arc length of sector,we need to π(radius²)(sector's degree divided by 360 degree)
The table shows the weight gain of a kitten over a
1 answer:
Answer:
The rate of change of the weight of kitten A is greater than the rate of change of the weight of kitten B
Step-by-step explanation:
- The rate of change of the linear relationship is the slope of the line which represent this relationship
- The rule of the slope is m =
, where (x1, y1) and (x2, y2) are 2 points on the line
∵ The table shows the weight gain of kitten A
→ Choose two points from the table to find the slope
∵ Points (0, 3) and (1, 7) are two points in the table
∴ x1 = 0 and y1 = 3
∴ x2 = 1 and y2 = 7
→ Substitute them in the rule of the slope above
∵ m = =
= 4
∵ The slope is the rate of change
∴ The rate of change of the weight of kitten A is 4 oz/week
∵ The graph shows the weight gain of kitten B
→ Choose two points on the line to find the slope
∵ Points (0, 4) and (2, 10) lies on the line
∴ x1 = 0 and y1 = 4
∴ x2 = 2 and y2 = 10
→ Substitute them in the rule of the slope above
∵ m = =
= 3
∵ The slope is the rate of change
∴ The rate of change of the weight of kitten B is 3 oz/week
→ By comparing the two rates
∵ The rate of change of kitten A is 4 oz per week
∵ The rate of change of kitten B is 3 oz per week
∴ The rate of change of the weight of kitten A is greater than
the rate of change of the weight of kitten B
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Just to be different we'll start with intercept intercept form which says the line through x intercept (a,0) and y intercept (0,b) is
Through (4,0) and (0,-2) that's
Multiply through by the common denominator of 4 for standard form:
x - 2y = 4
For slope intercept form we solve for y
-2 y = -x + 4
y = (1/2) x - 2
We see our slope is (1/2) and we go through (4,0) so point slope form is
y - 0 = (1/2)(x - 4)
y = (1/2)(x-4)