Answer:
401/99 and 802/198
Step-by-step explanation:
Unfortunately the other answer to this question is wrong - you are looking for something equivalent to 4.0505050505050505, not just 4.05.
Typing the answer suggestions into a calculator you get:
405/99 = 4.0909090909 which is incorrect
401/99 = 4.0505050505 which is correct
81/33 = 2.45454545455 which is incorrect
802/198 = 4.0505050505 which is correct
405/100 = 4.05 which is incorrect as it doesn't repeat.
Hopefully this helps, let me know if you have any questions :)
We're going to use the equation given but let's first make sure we understand what the equation IS saying:
Area of a kite= [(1st diagonal) × (2nd diagonal)]/2
Now, let's find the 2 diagonals. In the case of kite shapes one of the diagonals is the line that goes from W to Y and the other is the line going from X to Z. In a kite they will always cross (no matter their lengths).
Now that we know the diagonals we can add the lengths that are given for each line to know what to multiply.
Line W to Y: 20+12= 32
Line X to Z: 12+12= 24
Now let's plug these numbers into the equation (it doesn't matter the order of the diagonals because we're just gonna be multiplying them either way!)
So...
(32×24)/2= 384 units squared (because it is area)
Neptune is about four times wider than Earth.
Answer: k = -1 +/- √769
<u>Step-by-step explanation:</u>
48x - ky = 11
<u>-48x </u> <u> -48x</u>
-ky = -48x + 11
Slope:
*************************************************************************
(k + 2)x + 16y = -19
<u>- (k + 2)x </u> -<u>(k + 2)x </u>
16y = -(k + 2)x - 19


Slope: 
**********************************************************************************
and
are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.
*
= -1
= 1
Cross multiply, then solve for the variable.
(k + 2)(k) = 16(48)
k² + 2k - 768 = 0
Use quadratic formula to solve:
k = -1 +/- √769