Step-by-step explanation:
v=6t-6
integrating
s= 3t^2 -6t +k
5=3(1)^2 -6(1) +k
5-3+6=k
k=8
s(t) = 3t^2 -6t +8
Given:
The scale factor between two circles is
.
To find:
The ratio of their areas.
Solution:
We know that, all circles are similar.
The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.
The scale factor is the ratio of the corresponding sides.
Ratio of areas of circles = Square of scale factor between two circles



Therefore, the correct option is D.
Equation of the line in slope-intercept form is y = -1/5 x + 9
Step-by-step explanation:
- Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.
⇒ y = -1/5 x + b ------ (1)
- Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)
⇒ 9 = -1/5 × -10 + b = 2 + b
⇒ b = 9 - 2 = 7
- Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.
⇒ y = -1/5 x + 7
It can also be written as 5y + x = 35