Answer:
2x-12+5=3x-3
1. subtract 3x-2x
-12+5=x-3
2.-12 add to 5
-7=x-3
3. add three to seven
-4=x
Step-by-step explanation:
Answer:
![The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.](https://tex.z-dn.net/?f=The%5C%20simplified%5C%20form%5C%20of%5C%20the%5C%20%5Cfrac%7B5%20%2B%206i%7D%7B4%20%2B%206i%7D%5C%20is%5C%20%5Cfrac%7B56-6i%7D%7B52%7D.)
Option (C) is correct .
Step-by-step explanation:
As the expression given in the question as follows.
![= \frac{5 + 6i}{4 + 6i}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%20%2B%206i%7D%7B4%20%2B%206i%7D)
Now rationalize the expression.
![= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%20%2B%206i%5Ctimes%204%20-%206i%7D%7B4%20%2B%206i%5Ctimes%204%20-%206i%7D)
Using the formula
a² - b² = (a - b) (a + b)
Using in the above
![= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%20%2B%206i%5Ctimes%204%20-%206i%7D%7B%284%29%5E%7B2%7D%20-%20%286i%29%5E%7B2%7D%7D)
![= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B5%5Ctimes%204-5%5Ctimes%206i%2B6i%5Ctimes%204-36%5C%20i%5E%7B2%7D%7D%7B16%20-%2036%28i%29%5E%7B2%7D%7D)
As i² = -1
![= \frac{20-30i+24i+36}{16 + 36}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B20-30i%2B24i%2B36%7D%7B16%20%2B%2036%7D)
![= \frac{56-6i}{52}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B56-6i%7D%7B52%7D)
![Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.](https://tex.z-dn.net/?f=Therefore%5C%20the%5C%20simplified%5C%20form%5C%20of%5C%20the%5C%20%5Cfrac%7B5%20%2B%206i%7D%7B4%20%2B%206i%7D%5C%20is%5C%20%5Cfrac%7B56-6i%7D%7B52%7D.)
Option (C) is correct .
Answer:
area = 2604 in²
Step-by-step explanation:
area = L x W
area = 42 x 62 = 2604 in²
The given equation has a slope of
. Parallel lines have the same slope.
Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is the point and "m" is slope
y - y₁ = m(x - x₁)
y - (-4) =
(x - 2)
y + 4 =
x + ![\frac{18}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B18%7D%7B7%7D)
<u> - 4</u> <u> -
</u>
y =
x - <u>
</u>