Answer:
By these examples you are able to see that the square of an odd number is always 1 more than a multiple of 4.
Step-by-step explanation:
For examples,
Let's consider squares of 3, 11, 25, 37 and 131.
8 is a multiple of 4, and 9 is more than 8.
120 is a multiple of 4 and 121 is one more than it.
624 is a multiple of 4 and 625 is one more than it.
1368 is a multiple of 4 and 1369 is one more than 1368.
17160 is a multiple of 4.
Answer:
a) 375
b) 7062.75 mm²
Step-by-step explanation:
b) We need to find the shortest possible width and length to get the smallest possible area.
To get the boundaries for 19.4, we go on to the next significant figure (the hundredths) and ± 5 of them.
The boundaries are, therefore: 19.35 - 19.45
As for the length, we can see they've added 5 units as the measurement is correct to 2 sig' figures, which is the tens.
And so, if we do as we did before, we go to the next sig' figure (the units) and ± 5 of them, we get the boundaries to be 365 - 375.
Now, we just multiply the lower bounds of the length and width to get the minimal/lower-bound area:
365 * 19.35 = 7062.75 mm²
The correct answer is d) 4x² - 4x + 1.
The area of a square is found by squaring the side length:
(2x-1)² = (2x-1)(2x-1) = 2x*2x - 2x*1 - 2x*1 - 1(-1) = 4x² - 2x - 2x + 1 = 4x²-4x+1
Answer:
option c is the correct answer.
280 divided by 7 equals 40 and forty times 12 equals 480 so the answer is 480
