Answer:
The equation for area of a triangle is height multiplied by the base length, divided by 2. So, if the height is 2, and the base is 4, then you multiply the two together, making 8, and then divide it by 2, making the final area 4. So if the dimensions are doubled, then the equation would be 4 times 8 divided by 2. Which is 16. If we do this again with 16 times 8, we will get 128, which when divided by two is 64. This is 4 times 16, just as 16 is 4 times the original answer 4. This means that every time you double the dimensions you will get the original answer multiplied by 4.
Step-by-step explanation:
Answer:
Step-by-step explanation:
- Total distance = 10 miles
- Total time = 2 hours
- Distance walked = x
- Speed walked = 2 mph
- Distance cycled = 10 - x
- Speed cycled = 15 mph
<u>Using the given data we can have the equation below to the time:</u>
- x/2 + (10 - x)/15 = 2
- 30x/2 + 30(10 - x)/15 = 30(2)
- 15x + 20 - 2x = 60
- 13x = 60 - 20
- 13x = 40
- x = 40/13
- x = 3.08 miles <em>rounded to 2 decimal places</em>
Answer:
see explanation
Step-by-step explanation:
The Remainder theorem states that if f(x) is divided by (x - h) then
f(h) is the remainder, thus
division by (x - 1) then h = 1
f(1) = 4(1)³ - 7(1)² - 2(1) + 6
= 4 - 7 - 2 + 6 = 1 ← remainder
The factor theorem states that if (x - h) is a factor of f(x), then f(h) = 0
Here f(1) = 1
Hence (x - 1) is not a factor of f(x)