Peter has 96 stamps and Sam has 63. How many stamps should Sam give Peter so that Peter will have twice as many stamps as Sam?
2 answers:
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Answer:
f(x) = -5x + 250
Step-by-step explanation:
* Lets explain how to solve the problem
- In week 10 the manufacturer fixed 200 cars
- In week 15, the manufacturer fixed 175 cars
- the reduction in the number of cars each week is linear
- The form of the linear equation is y = mx + c, where m is the slope of
the line which represent the equation and c is the y-intercept
- The slope of the line m =
where (x1 , y1) and (x2 , y2) are two points on the line
* Lets solve the problem
- Assume that the weeks' number is x and the cars' number is y
∴ (10 , 200) and (15 , 175) are two points on the line which represent
the linear equation between the cars' numbers and the weeks
numbers
∵ Point (x1 , y1) is (10 , 200) and point (x2 , y2) is (15 , 175)
∴ x1 = 10 , x2 = 15 and y1 = 200 and y2 = 175
- Use the rule of the slope above to find m
∴
- Substitute the value of x in the form of the linear equation above
∴ y = -5x + c
- To find c substitute x and y by one the coordinates of one of the
two points
∵ x = 10 when y = 200
∴ 200 = -5(10) + c
∴ 200 = -50 + c
- Add 50 to both sides
∴ 250 = c
- Substitute the value of c by 250
∴ y = -5x + 250, where the number of cars seen each week is y and
x is the number of the week
∵ f(x) = y
∴ f(x) = -5x + 250
Euclidean geometry, is simply plane and solid geometry. It is named after the Greek mathematician, Euclid, when he proposed his five postulates which serve as basis of drawing plane and solid figures. So, in a nutshell, a triangle in Euclidean geometry is a two-dimensional figure composed of three sides and whose interior angles sum up to 180°. A triangle in spherical geometry, on the other hand, is a triangle formed by three arcs. Thus, it is three-dimensional, and the interior angles sum up to more than 180°. The difference is shown in the attached picture.
