Diagonal of a cube formula: D=a√3 [a=side length]
D = 5√3 ≈ 8.7 cm.
-.833...., -5.09..., -5.166.... so the order is the exact order you have it in in the question. I just converted it all to decimals because it's easier.
Answer: A. -4
Step-by-step explanation:
6/((-4)^2-9)-(1/-4-3)= 6/7+1/7=1
For problems like this, change the wording into simple algebraic
formulas. We know that the area of a rectangle is its width times its
length, or A=LW. The problem tells you that the area is 48, so LW=48.
Also, if the length = twice the width minus 4, then L=2W-4.
From here, substitute your new L value for the L in the first equation:
48=LW --> 48=(2W-4)W
Now solve this equation by factoring it out into a polynomial:
48=2W^2-4W --> 24=W^2-2W --> W^2-2W-24=0 --> (W+4)(W-6)=0.
Solving this equation gives us W values of 6 and -4, but since the width
of a rectangle cannot be negative, the width must be 6.
Since L=2W-4, then L=2(6)-4 --> L=12-4 = 8. Therefore, the dimensions are 6X8, or 6 feet by 8 feet.
To check our work: The length equals four feet less than twice the width: 8=2(6)-4 --> 8=12-4 --> 8=8. This checks out.
Also, the area is 48 ft^2, and (6)(8) = 48, so this also checks out.
Hopefully this helps. If you need any more help or if I went over something too quickly, just let me know.
Problem 1
<h3>Answer:
6.7</h3>
----------------
Work Shown:
The two points are 
and 
Apply the distance formula to get the following
The distance between the two endpoints is roughly 6.7 units. This is the same as saying the segment is roughly 6.7 units long.
======================================================
Problem 2
<h3>Answer: 3.6</h3>
----------------
Work Shown:
We'll use the distance formula here as well.
This time we have the two points 
and 
The distance between them is...
This distance is approximate.
