15 plus the difference of 10 and a number X is 15 (X=?)
1 answer:
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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
Answer:
A) find its center = (3, 2)
B) find the radius of the circle = √104
C) find the equation of the circle = x² + y² - 6x - 4y -91 = 0
Step-by-step explanation:
A)- The center must be the mid-points of (-2, 1) and (8, 3).
So, using the equation of mid-point,
Here, (x₁, y₁) = (-2, 1) and (x₂, y₂) = (8, 3)
Putting these value in above equation. We get,
h = 3 and k = 2
Thus, Center = (h, k) = (3, 2)
B)- For finding the radius we have to find the distance between center and any of the end point.
Thus using Distance Formula,
⇒ Radius = √104 = 2√26
C)- The equation of circle is determined by formula:
where (h, k ) is center of circle and
r is the radius of circle.
⇒ (x - 3)² + (y - 2)² = 104
⇒ x² + y² - 6x - 4y -91 = 0
which is the required equation of the circle.