Answer:
2.85 × 10^7
Step-by-step explanation:
1.In scientific notation, the whole number before the decimal point shouln't be more than 10(exclude 10) or less than 1(include 1)
2.Count the digits after the decimal point to write the power.
Solution;
1. 2.85( 2 is not less than 1 as well as more than 10).
2.Since there are 7 digits after the decimal point, we should write the power 10^7.
3. Complete answer;
2.85 × 10^ 7
Given:
A(3,0)
B(1,-2)
C(3,-5)
D(7,-1)
1) reflect across x=-4
essentially calculate the difference between the x=-4 line and Px and "add" it in the other direction to x=-4
A(-4-(3-(-4)),0)=A(-11,0)
B(-4-(1-(-4)),-2)=B(-9,-2)
C(-4-(3-(-4),-5))=C(11,-5)
D(-4-(7-(-4)),-1)=D(-15,-1)
2) translate (x,y)->(x-6,y+8)
A(-3,8)
B(-5,6)
C(-3,3)
D(1,7)
3) clockwise 90° rotation around (0,0), flip the x&y coordinates and then decide the signs they should have based on the quadrant they should be in
A(0,-3)
B(-2,-1)
C(-5,-3)
D(-1,-7)
D) Dilation at (0,0) with scale 2/3, essentially multiply all coordinates with the scale, the simple case of dilation, because the center point is at the origin (0,0)
A((2/3)*3,(2/3)*0)=A(2,0)
B((2/3)*1,(2/3)*-2)=B(2/3,-4/3)
C((2/3)*3,(2/3)*-5)=C(2,-10/3)
D((2/3)*7,(2/3)*-1)=D(14/3,-2/3)
Answer:
The rate of change between (1, 5) and (0, -3) would be 8.0.
Step-by-step explanation:
"What is the rate of change between these two points" is the same as asking "what is the slope between these two points".
We are given the two points (1, 5) and (0, -3) and we are asked to find the rate of change (slope) between these two points. To do this, we could use the slope formula to find the rate of change between the two points. The slope formula is:
where (x₂, y₂) and (x₁, y₁) are the two points that we are trying to find the slope between.
Lets make (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3). (It does not matter which is (x₂, y₂) and which is (x₁, y₁)). Now plug (x₂, y₂) = (1, 5) and (x₁, y₁) = (0, -3) into the equation:

8 = 8.0, so the answer would be 8.0.
The rate of change between the two points would be 8.0.
I hope you find my answer helpful. :)
Well, for wheel 1, divide 1/3 to get .3333333333333333
for wheel 2, divide 1/4 to get .25
hope this helps