Combine any like terms in the expression. If there are no like terms, rewrite the expression.
1 answer:
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Value of cos(x+π) =
Given cosine of x =
i.e., cos(x) =
Also cos() =
. So x =
.
We need to find cos(x+π) = cos().
But its value is not easy to find. So we use trigonometric formulas.
We have the trigonometric formula, cos (x+π) = - cos(x) = - =
Cos(x+π) lies in the 3rd quadrant. So there cosine has negative values. That is why, cos (x+π) = - cos(x).
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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