Answer:
The expression
Step-by-step explanation:
Answer:
The general equation for a linear equation is
y is the y-coordinate
x is the x-coordinate
m is the gradient of the slope
c is where is passes through the y axis
So if you breakdown this equation () you are able to see that 2/3 is in the same spot as 'm' which is the gradient or slope of the line.
positive 2/3
Also if there was a negative infront of 'm' then the gradient would slope down '\' instead of up '/'
Step-by-step explanation:
The general equation for a linear equation is
So if you breakdown this equation () you are able to see that 2/3 is in the same spot as 'm' which is the gradient or slope of the line.
Also if there was a negative infront of 'm' then the gradient would slope down '\' instead of up '/'
An equation is a mathematical statement that is made up of twoexpressions connected by an equalsign
x + y = 110
y - (1/2)x = 20
The number of marblesonechildren had is 50.
The number of marblesotherchildren had is 60.
An equation is a mathematical statement that is made up of twoexpressions connected by an equalsign.
Example:
2x + 4y = 6 is an equation.
2x + 4 is an equation.
We have,
Totalnumber of marbles = 110
Number of children = 2
Number of marblesonechildren has initially = x
Number of marblesotherchildren has initially = y
Now,
x + y = 110 _____(1)
After one child had losthalf her marbles and the otherlost 20 they had an equalnumber.
This means,
x - (1/2)x = y - 20
(1/2)x = y - 20
y - (1/2)x = 20 _____(2)
From (1) and (2) we get,
x = 110 - y _____(3)
Putting (3) in (2)
y - (1/2)x = 20
y - (1/2)(110 - y) = 20
y - 55 + (1/2)y = 20
(3/2)y = 20 + 55
(3/2)y = 75
y = (75 x 2) / 3
y = 25 x 2
y = 50
Now,
Putting y = 50 in (3) we get,
x = 110 - y
x = 110 - 50
x = 60
Thus,
The number of marblesonechildren had is 50.
The number of marblesotherchildren had is 60.
Learn more about equations here:
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Pythagorean theorem:
a^2+b^2=c^2
substitute:
10^2+13^2=c^2
simplify:
100+169=c^2
simplify:
269=c^2
take the square root:
c=16.4
The answer is 16.4