Answer:
(2,-1)
Step-by-step explanation:
(-2+6)/2 (2+4)/2
Answer:
844368.7 m
Step-by-step explanation:
We are given that a typical sugar cube has an edge length of 1.00 cm.
We have to find the edge length of the box in meters.
Edge length of sugar cube=1 cm =
(
)
Volume of a sugar cube=
1 mole of sugar=
Volume of 1 unit=
Volume of 
units=
Volume of box=1 mole of sugar=
Edge length of box=![\sqrt[3]{6.02\times 10^{17}}=844368.7 m](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B6.02%5Ctimes%2010%5E%7B17%7D%7D%3D844368.7%20m)
Answer:
1. y = 3x - 3
2. y = -2 1/2x + 10
10/-4 = -2 1/2 is the slope
3. undefined
4. y = x - 4
5. y = x - 5
6. 6x + 2y = 4 and -3y = 9x + 12
7. -3x + y = 7, y = 3x + 1, and y =3x
8. y = 2x + 5
9. y = 1/4x - 4
Explanation:
It helps to understand the process of multiplying the binomials. Consider the simple case ...
(x +a)(x +b)
The product is ...
(x +a)(x +b) = x² +(a+b)x + ab
If the <em>constant</em> term (ab) is <em>negative</em>, the signs of (a) and (b) are <em>different</em>.
If the constant term (ab) is <em>positive</em>, the signs of (a) and (b) will both match the sign of the coefficient of the linear term (a+b).
___
Of course, the sum (a+b) will have the sign of the (a) or (b) value with the largest magnitude, so when the signs of (a) and (b) are different, the factor with the largest magnitude will have the sign of (a+b), the x-coefficient.
<u>Example</u>:
x² -x -6
-6 tells you the factors will have different signs. -x tells you the one with the largest magnitude will be negative.
-6 = -6×1 = -3×2 = ... (other factor pairs have a negative factor with a smaller magnitude)
The sums of these factor pairs are -5 and -1. We want the factor pair that has a sum of -1, the coefficient of x in the trinomial.
x² -x -6 = (x -3)(x +2)
