Answer:
6
Step-by-step explanation:
Plug the values of a and b into the equation.
4(3) + 5(-1.2)
12 + (-6)
Adding negatives basically means subtracting, so...
12-6 = 6
Therefore your answer is 6
Hope this helps!
A20-a18=a1+19d-a1-17d=2d =281-97
so
d=92
X² <span>+ 11x + 7
because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:
(-b </span>± √((b)² - 4ac))/(2a)
in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))
not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2
and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:
(x - (-11 - √93)/2) and (x + (-11 - √93)/2)
they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:
(x + (11 + √93)/2) (x - (11 - √93)/2)
and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
Answer:
Figure: Amount of tiles:
1 5
2 8
3 11
4 14
5 17
6 20
7 23
8 26
9 29
10 32
11 35
12 38
13 41
The sequence/pattern is +3 tiles.
So Figure 13 will have 41 tiles.
I hope this helps!
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Answer:
D
Step-by-step explanation:
3 (4x + 18y) means that 3 will multiply 4x and 18y factor which results to 12x + 54y
hence dissimilar to the original expression
