Tangerine is simply color orange, which is an addition of red and yellow colors. To analyze if the portions written below are reasonable, the given sum must equal to the sum of the individual red and yellow parts.
Total Red + Total Yellow = 5(3/10)
3(9/10) + 2(3/8) ? 5(3/10
3.45 ? 1.5
3.45 ≠ 1.5
<em>Since they are not equal, then it means the portions are unreasonable.</em>
Consecutive numbers are numbers that follow one right after the other. One example is the set {6, 7, 8}. We don't know the three consecutive numbers so let's define...
x = first number
x+1 = second number
x+2 = third number
where x, x+1, and x+2 are consecutive numbers
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"The sum of three consecutive numbers is -15" meaning that
x+(x+1)+(x+2) = -15
Let's solve for x
x+(x+1)+(x+2) = -15
x+x+1+x+2 = -15
3x+3 = -15
3x+3-3 = -15-3
3x = -18
3x/3 = -18/3
x = -6
So this means
first number = x = -6
second number = x+1 = -6+1 = -5
third number = x+2 = 6+2 = -4
The list of consecutive values is {-6, -5, -4}
They add up to (-6) + (-5) + (-4) = -11+(-4) = -15
which confirms we have the right values
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In short, the final answer is -4
Answer:
1)D 2)C 3)A 4)B 5) A
Step-by-step explanation:
1) The area rectangle is 36x^2 -1
We know ,
A= l*b
=36x^2 -1
=(6x)^2 -1
=(6x+1) (6x-2)
This the value of l,b respectively.
So, Perimeter of rectangle is 2(l+b)
P=2(6x+1) + 2(6x-1)
=24x
2)The area of square is 4(x+5)^2
We know,
A=l^2
=4(x+5)^2
=4(x^2 + 10x + 25)
=(2x+10)^2
This is the value of l=2x+10.
So, Perimeter of square is 4l
P=4(2x+10)
=8x+40
3)The fully factorized form is
= -2x^2 + 10x +12
= -2x^2 + 12x -2x +12
= -2x(x-6) -2(x-6)
= -2(x-6) (x+1)
4)The fully factorized form is
=x^4 -81
=(x^2)^2 -9^2
=(x^2 + 9) (x^2 - 9)
=(x^2 + 9) (x^2 - 3^2)
=(x^2 + 9) (x + 3) (x - 3)
5)The fully factorized form is
= 5x^4 - 320
= 5(x^4 - 64)
= 5((x^2)^2 - 8^2)
= 5(x^2 + 8) (x^2-8)
Obtuse scalene, because none of the side are equal ( which would make none of the angles equal), but the one angle is over 90°
