Answer:
A
Step-by-step explanation:
(x-4)^2=5
(x-4)(x-4)=5
x(x-4)-4(x-4)=5
distribute
x^2-4x-4x+16=5
combine like terms
x^2-8x+16=5
move terms to the left and combine
x^2-8x+11=0
use the quadratic formula and simplify
x=-(-8)+/-2 to the square roots of 5 over 2
separate and solve
x=4+ square root of 5
x=4- square root of 5
ANSWER: x=4+/- square root of 5
The correct order would be:
5/64 x 3, 1/16 x 3, 3/32 x 4, 11/64 x 4, 7/16 x 3, 3/4 x 2, 3/8 x 4, 1 7/8 x 4, 2.25 x 2, 1.5 x 4, 3 3/8 x 3, 3.75 x 3
First we have to take all of the numbers and do the multiplication. It's often easiest to turn them in to decimals so that you have a common form.
3/32 x 4 = 3/8 = .375
3/4 x 2 = 3/2 = 1.5
1 7/8 x 4 = 15/4 = 3.75
2.25 x 2 = 4.5
1.5 x 4 = 6
3/8 x 4 = 3/2 = 1.5
5/64 x 3 = 5/32 = .156
3.75 x 3 = 11.25
1/16 x 3 = 3/16 = .1875
7/16 x 3 = 21/16 = 1.31
3 3/8 x 3 = 81/8 = 10.125
11/64 x 4 = 11/16 = .687
Now we can use those to put in order.
5/64 x 3 = 5/32 = .156
1/16 x 3 = 3/16 = .1875
3/32 x 4 = 3/8 = .375
11/64 x 4 = 11/16 = .687
7/16 x 3 = 21/16 = 1.31
3/4 x 2 = 3/2 = 1.5
3/8 x 4 = 3/2 = 1.5
1 7/8 x 4 = 15/4 = 3.75
2.25 x 2 = 4.5
1.5 x 4 = 6
3 3/8 x 3 = 81/8 = 10.125
3.75 x 3 = 11.25
Which if you are looking for without the extra terms, you can check the answer at the top.
1/2(4x-6y)
You just multiply 1/4 by every term in the parenthesis
4 times 1/2 is 2
-6 times 1/2 is -3
The answer is 2x -3y
Explanation:
One formula for the area of a triangle is ...
Area = (1/2)ab·sin(C)
This presumes you know the measures of two sides and the angle between them. The Law of Sines is typically used where you know all the angles and only one side measure.
You would use the law of sines to find an additional side measure, then make use of the above formula for area.
