Find the first rate of change...
(5-6)/(2-0)=(4-5)/(4-2)=(3-4)/6-4)=-1/2
So this equation has a constant velocity which means that it is linear and can be expressed as y=mx+b where m=slope=velocity and b=y-intercept, value of y when x=0...we saw earlier that the velocity or slope is -1/2 so:
y=-x/2+b, and we can use any point to solve for b, I'll use (6,3)
3=-6/3+b
3=-2+b
b=5
So the relationship if the function:
y=-x/2+5 or more neatly...
y=(10-x)/2
The answer is 7. You need to use BIDMAS - Brackets Indices Division Multiplication Addition Subtraction
The surface area of a right rectangular prism is the sum of the areas of all six faces of the prism. To calculate the total surface area, you must calculate the area of each face, and then you add all six areas together. Each face is a rectangle. As a shortcut, you really only need to find at most three areas since each two opposite faces are congruent rectangles and have equal areas. Since the area of a rectangle is length times width, and they are both measured in linear measurements, such are meters or feet, the area of each face is in square meters or square feet. The total area is also measured n square meters or square feet. If you are painting a room, including all walls, the floor and the ceiling, it would be helpful to know the total surface area to calculate the amount of paint needed. Also, if you are wrapping a box that is shaped like a right rectangular prism, the the total surface area will tell you how much area of wrapping paper you need.
The volume of a right rectangular prism is the amount of three-dimensional space it occupies. To calculate it, you multiply the length by the width by the height. Since length, width, and height are linear measures, with units such as meters or feet, the volume is a cubic measure measured in cubic meters or cubic feet. If you have a certain volume of an item that you need to put in a box, then by knowing how to calculate the volume of the box, you can tell what size box you will need.
Answer:
120
240
Step-by-step explanation:
We call the length of first part x
Length of second part = y
In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.
So,
We have this equation,
x/4 + y/3 = 110
We take the LCM
(3x + 4y)/12 = 110
When we cross multiply
3x + 4y = 110x12
3x + 4y = 1320 ----- equation 1
For scenario 2
x/3 + y/4 = 100
When we take the LCM
(4x + 3y)/12 = 100
We cross multiply
4x + 3y = 100x12
4x + 3y = 1200 ------ equation 2
We now have two equations and we will solve for x and y using simultaneous linear equation.
3x + 4y = 1320 ----- 1
4x + 3y = 1200 ----- 2
We subtract equation 2 from 1 to get
- x + y = 120
We make y subject
y = x + 120 ----- 3
We put the value of y in equation 3 into equation 1
3x + 4(x + 120) = 1320
3x + 4x + 480 = 1320
7x + 480 = 1320
7x = 1320-480
7x = 840
We divide through by 7
x = 840/7
x = 120
We put value of x in equation 3
y = x + 120
y = 120 + 120
y = 240
120 and 240 are the lengths of the 2 parts of the journey.
Thanks
Answer:
The equation of the line would be D) y - 7 = -3(x -5)
Step-by-step explanation:
In order to find this, we must first start with the base form of point-slope form.
y - y1 = m(x - x1)
Now we put the slope in for m and the point in for (x1, y1)
y - 7 = -3(x - 5)
