Answer:
y=1/∛4 divides the area in half
Step-by-step explanation:
since the minimum value of x² is 0 (for x=0 ) and for y=1
1 = 25*x² → x= ±√(1/25) = ±1/5
then the total area between y=1 and y = 25*x² is bounded to x=±1/5 and y=0 . Since there is a direct relationship between x and y , we can find the value of x=a that divides the region in 2 of the same area. thus
Area below x=C = Area above x=C
Area below x=C = Total area - Area below x=C
2*Area below x=C = Total area
Area below x=C = Total area /2
∫ 25*x² dx from x=c to x=-c = 1/2 ∫ 25*x² dx from x=1/5 to x=-1/5
25*[c³/3 - (-c)³/3] = 25/2 * [(1/5)³/3 - (-1/5)³/3]
2*c³/3 = (1/5)³/3
c = 1/(5*∛2)
thus
y=25* x² = 25*[1/(5*∛2)]² = 1/∛4
thus the line y=1/∛4 divides the area in half
Answer:
y = 3x + 5
Step-by-step explanation:
Two lines which are parallel have the same gradient. This means that the parallel line must have a gradient of 3x
y = 3x + c
To figure out c you substitute in the given coordinate for the x and y values
8 = 3(1) + c
c = 5
y = 3x + 5
Answer:
10x
Step-by-step explanation:
7+3=10
just add the numbers if x is unknown
9/20 because you would get it as a decimal first and it would be .45 then put 100 at the end and then reduce and you end up with 9/20
First, you have to find x
KG and HK are equal
3x=x+8
Solve, and you get 4=x
plug that in to x+3
JL=7
LG is twice as long as JL
7*2=14
JL is 14
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