Step-by-step explanation:
let the number be x
12x-59=x²-2
12x-x²=59-2
12x-x²=57
12x-57=x²
x=root of 12x-57
From the given figure, we know that:

This means that the three sides of triangle MNO are congruent to three sides of triangle LMO. Therefore, the triangles are congruent by Side Side Side postulate.
Answer:
1.6
Step-by-step explanation:
4.4 - 2.8 = 1.6
6 - 4.4 = 1.6
7.6 - 6 = 1.6
$63.54 is the price after the discount and tax
Answer:
So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.
The y-intercept was (0,2) then it becomes (0,5) in the new line.
Step-by-step explanation:
The slope-intercept form a line is y=mx+b where m is the slope and the y-intercept is b.
Both of these equations given are in this form.
y=-4x+2 when compared to y=mx+b you see that m=-4 and b=2.
Since b=2 then the y-intercept is 2.
y=-4x+5 when compared to y=mx+b you see that m=-4 and b=5.
Since b=5 then the y-intercept is 5.
So if y=-4x+2 was changed to y=-4x+5, then the y-intercept would increase by 3.