Step-by-step explanation:
![= {3}^{0} \times {3}^{ - 3}](https://tex.z-dn.net/?f=%20%3D%20%20%7B3%7D%5E%7B0%7D%20%20%5Ctimes%20%20%7B3%7D%5E%7B%20-%203%7D%20)
![= 1 \times \frac{1}{ {3}^{3} }](https://tex.z-dn.net/?f=%20%3D%201%20%5Ctimes%20%20%5Cfrac%7B1%7D%7B%20%7B3%7D%5E%7B3%7D%20%7D%20)
![= \frac{1}{3 \times 3 \times 3}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B3%20%5Ctimes%203%20%5Ctimes%203%7D%20)
![= \frac{1}{27}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B1%7D%7B27%7D%20)
X² - 6x - 27 = 0
x = <u>-(-6) +/- √((-6)² - 4(1)(-27))</u>
2(1)
x = <u>6 +/- √(36 + 108)</u>
2
x = <u>6 +/- √(144)</u>
2
x = <u>6 +/- 12</u>
2
x = 3 <u>+</u> 6
x = 3 + 6 x = 3 - 6
x = 9 x = -3
Let the shorter diagonal be x, then
x^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 70 = 36 + 100 - 120 cos 70 = 136 - 41.04 = 94.96
x = sqrt(94.96) = 9.7 cm
The other angle of the parallelogram is 1/2(360 - 2(70)) = 1/2(360 - 140) = 1/2(220) = 110
Let the longer diagonal be y, then
y^2 = 6^2 + 10^2 - 2 x 6 x 10 x cos 110 = 36 + 100 - 120 cos 110 = 136 + 41.04 = 177.04
y = sqrt(177.04) = 13.3 cm.
Therefore, the length of the diagonals are 9.7 cm and 13.3 cm.
<span>126 (1 / 4) = 126 (3 / 12) = 125 (15 / 12)
78 (2 / 3) = 78 (8 / 12)
</span>
125 (15/ 12) -<span>78 (8 / 12) = 47 (7 / 12)
</span>*******************************************************************************
Double Check
126 (1/4) = 126.25
78 (2 / 3) = 78.6666666666666
126.25 - 78.66666666666 = 47.5833333333 =
47 (7 / 12)
Answer:
y=x-4
Step-by-step explanation:
What you are looking for is also known as the slant asymptote. The slant asymptote occurs when the degree of the numerator is one degree more than the denominator which is what you have.
So to find the slant asymptote we can use polynomial division.
We have a choice to use synthetic division here because the denominator is linear.
-1 goes on the outside because we are dividing by (x+1).
-1 | 1 -3 -4
| -1 4
|----------------------
1 -4 0
The asymptote is the quotient part which is y=x-4.
So answer is y=x-4.