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Answer:
Step-by-step explanation:
hello :
1) the system is : y=5x+4
y = 2x+1
so :5x+4 =2x+1
5x-2x=1-4
3x= -3 so : x= -1 but y =2x+1 put x=-1 you have : y =-1
the solution : (x,y) =( -1, -1)
2) the system is : x + y = 4
4x -y = 1
means : y = - x+4 (line red)
y= 4x-1 (line blue)
graficly : intrsection is : (x,y) =(1 ,3 )
The square piece of wood measures 32 in per side,
Then the circle that can be cut off it has a radius of 16 in (half of the diameter 32 in)
Therefore, the area of the circle is going to be given by the formula:
And the area of the initial square was:
Area = 32^2 in^2 = 1024 in^2
Therefore the left-overs of the piece of wood would be the difference:
1024 in^2 - 803.84 in^2
The statement, "Julian's sister said he walked 1/5 mile" cannot be agreed because Julian totally walked miles.
<u>Solution:</u>
Given that,
- Julian walked 6/10 of a mile to his friends house
- Another 35/100 mile to the store
- He walked 1/4 of a mile back home
To find total distance walked by Julian we have to add the above stated values. That is,
Factors of 10 =
Factors of 100 =
Factors of 4 =
Therefore, the least common factor of 10, 100 and 4 is 100. With like denominators we can operate on just the numerators,
Which can also be written as .
So, from the above calculation it can be said that Julian walked .