Area = (5x + 4)(4x - 4)
= 20x^2 - 20x + 16x - 16
= 20x^2 - 4x - 16 Answer
Its G
Answer:
a) 2048
b)164
c)54
d) 11
Step-by-step explanation:
a) A coin has two faces.
Outcome possible =2^11= 2048
b) 8 heads possible outcome = 11!/8!3! = 3971688/241/920= 164 ways
c)2 heads outcome= 11!/2!8!= 39716800/725760=54
d) 7 heads= 11!/7!6! =39716800/3628800 = 11
B. 6 3/8
How do we get this? Simple:
6.375--->We already know that 6 will be the whole number in the mixed fraction.
We then move on to represent the decimal part as the fraction. 375 will be the numerator. The denominator depends on how many decimal places we have (3 in this case, since there are 3 numbers after the period--375). Each decimal place represents a 10 (or a 0 after the 1). So we get that our denominator will be a 1000.
We get the following fraction
6 375/1000
We simplify. Let's start by dividing numerator and denominator by 5:
6 75/200
Let's divide by 5 again:
6 15/40
Let's divide by 5 again:
6 3/8
Or we could have divide by 125 from the get go and get the same results.
Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|= 
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !
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I believe you just multiply all the values together
3 x 3 x 9 = 81
You can make 81 different pizzas
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