Answer: y coordinate is 6
Step-by-step explanation:
6=1/2(3)(h)
If you solve for H then
h=4
So, add 4 to the line y=2
y=2+4
2+4= 6
Hence, the possible y coordinate of point C is 6
Hope this helped!
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Answer:
80,
Step-by-step explanation:
the way to find the volume of a prism is the following, get 3 measurements, the length, the width and the height (in this case you already have all 3) so simply multiply they together(2*5*8=80)
Answer:
452.39
Step-by-step explanation:
Answer:
750kmph
Step-by-step explanation:
Average is sum of all parts divided by the number of parts.
Let Stot be average speed for total trip (800kmph).
Let S1 be speed for first quarter of trip (950kmph).
Let S2, S3, and S4 be the speeds of each of the remaining quarters respectively.
Let Sans be the average speed for the remaining three quarters of the trip (a.k.a. The Answer!).
Stot = (S1 + S2 + S3 + S4) / 4
800kmph = (950kmph + S2 + S3 + S4) / 4
3200kmph = 950kmph + S2 + S3 + S4
3200kmph - 950kmph = 2250kmph = S2 + S3 + S4
Divide both sides by 3.
2250kmph / 3 = (S2 + S3 + S4) / 3 = Sans
Sans = 750kmph
"Completing the square" is the process used to derive the quadratic formula for the general quadratic ax^2+bx+c=0. Suppose you did not know the value of a,b, or c of the quadratic...
ax^2+bx+c=0 You need a leading coefficient of one for the process to work, so you divide the whole equation by a
x^2+bx/a+c/a=0 now you move the constant to the other side of the equation
x^2+bx/a=-c/a now you halve the linear coefficient, square that, then add that value to both sides, ie, (b/(2a))^2=b^2/(4a^2)...
x^2+bx/a+b^2/(4a^2)=b^2/(4a^2)-c/a now the left side is a perfect square...
(x+b/(2a))^2=(b^2-4ac)/(4a^2) now take the square root of both sides
x+b/(2a)=±√(b^2-4ac)/(2a) now subtract b/(2a) from both sides
x=(-b±√(b^2-4ac))/(2a)
It is actually much simpler keeping track of everything when using known values for a,b, and c, but the above explains the actual process used to create the quadratic formula, which the above solution is. :)
