All Answers

#1

+130561

+5

9 - 8y > 21 - 2y add 8y to both sides.....subtract 21 from both sides

-12 > 6y divide both sides by 6

-2 > y or y < -2 if you prefer

CPhillDec 11, 2015

#6

+118725

+5

Attn: Hayley1 and others

Ok you kids have got some concept problems here.

MULTIPLES

A multiple of a number is bigger to or equal to the number.

Multiples of 12 are 12, 24, 36, 48, 60, 72, ........., 120 ....

Multiples of 15 are 15, 30, 45, 60, 75, 90, ....., 120, ....

The common multiples are the ones that are common to both lists. that is 60, 120, 180, .......

The LEAST common multiple is 60 because that is the smallest common multiple. It is the one with the LEAST value.

-----------------------------------------------------

FACTORS

The factors of 12 are 1, 2, 3, 4, 6, 12

The factors of 15 are 1, 3, 5, 15

So the HIGHEST common factor of 12 and 15 is 3

MelodyDec 11, 2015

#3

+405

+5

I hope this helps.

\(.2y+2+(-.2y)=2\)

\(- (-.2y)\)

\(.4y+2=2\)

\(-2\)

\(.4y = 0\)

\(\frac{.4}{.4} = \frac{0}{.4}\)

\(y = 0\)

-Complex

(First time using LaTeX. Don't expect much.

ComplexDec 11, 2015

#2

+405

+5

LOL

ComplexDec 11, 2015

#3

+130561

+10

1) The area of the equilateral triangle with a side of 12cm = 6 * 12[sqrt(3)/2] = [72/2] * sqrt(3) = 36sqrt(3) cm^2

The area of the square with the diagonal of 8 cm = [8/sqrt(2)]^2 = [64/2] = 32 cm^2

2) Area of a square with a diagonal of 12sqrt(2)cm ........the side = 12sqrt(2)/sqrt(2) = 12cm

So the area = side^2 = [12cm]^2 = 144 cm^2

CPhillDec 11, 2015

#1

+405

+10

2.7 I think.
The .6 repeating rounds up to .7 .

-So then add that to 2.

Complex

2.7

ComplexDec 11, 2015

#2

0

its sideways sorry!

GuestDec 11, 2015

#1

+130561

+5

The slope of line 1 = [6 - 3] / [ 3 - -6] = [3] / [9] = 1/3

The slope of line 2 = [ 3 - 1] / [3 - -3] = [2] / [6] = 1/3

Since the slopes are the same.......these lines are parallel......thus.....they never intersect.....so.......we have no solutions.....

CPhillDec 11, 2015

#1

+130561

0

I think your picture came out backward.......can you try it again???

CPhillDec 11, 2015

#3

+5

Simplify the following:
sqrt(50)-2 sqrt(72)+3 sqrt(18)

sqrt(72) = sqrt(2^3×3^2) = 2×3 sqrt(2):
sqrt(50)-2×2×3 sqrt(2)+3 sqrt(18)

2×3 = 6:
sqrt(50)-2×6 sqrt(2)+3 sqrt(18)

sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):
sqrt(50)-2×6 sqrt(2)+3×3 sqrt(2)

sqrt(50) = sqrt(2×5^2) = 5 sqrt(2):
5 sqrt(2)-2×6 sqrt(2)+3×3 sqrt(2)

-2×6 = -12:
5 sqrt(2)+-12 sqrt(2)+3×3 sqrt(2)

3×3 = 9:
5 sqrt(2)-12 sqrt(2)+9 sqrt(2)

Add like terms. 5 sqrt(2)-12 sqrt(2)+9 sqrt(2) = 2 sqrt(2):
Answer: | 2 sqrt(2)