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\((x+y)\times2\)

\(2x+2y\)

Expand the following:
(x+y)^2

(x+y) (x+y) = (x) (x) + (x) (y) + (y) (x) + (y) (y):
x x+x y+y x+y y

x x = x^2:
x^2+x y+y x+y y

y y = y^2:
Answer: x^2+2xy+y^2

You are right! Exponentiation takes precedence over multiplication.  I must be half asleep!

There are several ways to find the measure of angles:

01.  Get a protractor and roughly measure the angle to the nearest degrree.  This is asumed the angle is protrayed accurately.

02.  Use trigonometry

To use trigonometry, the angles have to form a triangle.  If you know at least one (two in some cases) sides  and at least one (two in some cases) angles, you can use either of two formulas depending on what information you are given.

Those two formulas are the Law of Sines and the Law of Cosines.

The formula for the Law of Sines:

\(\frac{Sin(A)}{a}=\frac{Sin(B)}{b}=\frac{Sin(C)}{c}\) 

\(\frac{a}{Sin(A)}=\frac{b}{Sin(B)}=\frac{c}{Sin(C)}\)

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

The formula for Law of Cosines:

a²=b²+c²-2bc*Cos(A)

b²=a²+c²-2ac*Cos(B)

c²=a²+b²-2ab*Cos(C)

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

To understand the Law of Sines and Law of Cosines formulas, click on the following links:

Alan: Isn't the 2nd [(-4)^9  only] X (-4) =2^20. It is NOT [(-4) X (-4)]^9=2^36

16r^4

7 divided by ? = 617

7/N =617 cross multiply

7 =617N divide both sides by 617

N =7/617

N=0.01134521880064829821717990275527.........etc.

write the following as SINGLE POWERS (if possible) using exponent laws (-4) x (-4) /\ 9

(-4) x (-4) /\ 9=-(2^2) x -(2^2)^9=-(2^2) x -(2^18)=2^20

88.1428571428571429

(2²x2²)^9

88.1429

       (6x10^-5)/(4x10^7)=1.5 × 10^-12

Press "2nd" key at the top left hand corner. You should see a key labled "acos", which is the same as cos^-1. You have to press = sign to get your answer.

The way I understand it, is that one ounce cleans 1,000 gallons. But you only have an indoor aquarium with 70 gallons. Therefore, you need to use only:

70/1000 x 1 ounce=.07 of an ounce. How much is that? You have to convert it to grams to have any idea how much that is. 1 ounce=28.35 grams, so we have:

.07 x 28.35 =about 2 grams. You have to have a  very sensitive scale to measure 2 grams, which is about the weight of a paperclip!. Good luck to you.

angle DAC = angle BAD

What is the length of line CD?

Round to one decimal place.

x^3 -x^2 -4 > 0

x^3 - x^2 > 4

(x-2) (x^2+x+2)>0

x > 2

y = mx + b

Using (5, 52):   52 = m*5 + b

Using (13, 124):  124 = m*13 + b

You now have two equations in two unknowns (m and b) so you should be able to solve for these two, then you will be able to write the equation of the straight line through the points in the form y = mx + b.

how much is 3.4 millions divided 12 months

3,400,000 / 12=283,333 1/3

1.60X+15900=1.75X  subtract 1.6X from both sides

15,900 =1.75X - 1.60X

15,900=0.15X divide both sides by 0.15

X=15,900 / 0.15

X=106,000

Just multiply cm x 10. Example: convert 25 cm to mm=25 x 10 =250mm.

1. Subtract the coefficents(2 and 5) and simplify each square root.

2.Multiply the coefficients(2 and 5)by any numbers that have 'got out' of the square root(3 and 2),respectively

3. Add any radicals with the same radicand.

Solve for n:
-6-4 n = 10

Add 6 to both sides:
(6-6)-4 n = 10+6

6-6 = 0:
-4 n = 10+6

10+6 = 16:
-4 n = 16

Divide both sides of -4 n = 16 by -4:
(-4 n)/(-4) = 16/(-4)

(-4)/(-4) = 1:
n = 16/(-4)

The gcd of 16 and -4 is 4, so 16/(-4) = (4×4)/(4 (-1)) = 4/4×4/(-1) = 4/(-1):
n = 4/(-1)

Multiply numerator and denominator of 4/(-1) by -1:
Answer: |  n = -4