Step-by-step explanation:
we divide both sides by 4 to single out the X
(4X) / 4 = (2/3)/4
simplify
X = 2/12
The midpoint between the two points are (0,1/2)
So area=1/2 base times height
50=1/2 base times height
multiply both sides by 2
100=base times height
base=4height
100=4height times height
100=4height^2
divide 4
25=height^2
squarer root
5=height
subisute
base=4(5)
base=20
height=5
Answer: girls=20, sister=10
Step-by-step explanation:
Let x = the girl's sister's age (present)
Let 2x= the girl's age (present)
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According to the question
(x+5)(2x+5)=375
Expand parentheses by FOIL (First Outer Inner Last)
2x²+5x+10x+25=375
Combine like term (5x and 10x)
2x²+15x+25=375
Subtract 375 on both sides
2x²+15x+25-375=375-375
2x²+15x-350=0
Find the factors (cross factor)
(x-10)(x+17.5)=0
x=10 or x=-17.5 (rej) ⇔ the age can't be negative
the girl's age is 20, and her sister's age is 10.
Answer: 2
Step-by-step explanation: Rate of change is also defined as slope, so using the rise over run method, you can see that the slope of the line is +2.
