10-2 = 8
2^3 =8
(2x2x2) = 8
Answer: The solution is the ordered pair (1/2, -3/4) so x = 1/2 and y = -3/4 pair up together. The two lines, when graphed, cross at this location.
note: 1/2 = 0.5 and -3/4 = -0.75; so the intersection point can be written as (0.5, -0.75)
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Explanation:
The second equation has y isolated. We can replace the y in the first equation with the expression 1/2x - 1
3x + 2y = 0
3x + 2( y ) = 0
3x + 2( 1/2x - 1) = 0 ... y is replaced with 1/2x-1
3x + 2(1/2x) + 2(-1) = 0 .... distribute
3x + x - 2 = 0 .... note how 2 times 1/2 is 1
4x - 2 = 0
4x = 2
x = 2/4
x = 1/2
Use this x value to find the y value it pairs with
y = (1/2)*x - 1
y = (1/2)*(1/2) - 1 ... replace x with 1/2
y = 1/4 - 1
y = 1/4 - 4/4
y = (1-4)/4
y = -3/4
Answer:
2 and a half @ 2.5 inches (sorry i can't type the fraction)
Step-by-step explanation:
- english is my second language so sorry if you doesn't understand:
(1/2, 1/4)=(x,y)
based on the graph shown that each grid on the y axis represents 1/4, that is the smallest scale stood in the y axis.
this means 2 grid= 1/4 x 2 = 1/2 @ 0.5 inches.
since the '5 months-hair-length' is above about 2 grid above 2 inch:
2 inch + 0.5 inch= 2.5 inch
Modular arithmetic is all about finding the remainder from long division (MOD), and the total number of times that a number goes into a division (DIV<span>).</span>
