Answer:
x=10
y=-3
Step-by-step explanation:
3x + 5y= 15...eqn. 1
2x + 4y= 8...eqn. 2
multiply eqn. 1 by 2 and eqn. 2 by 3
6x + 10y = 30...eqn. 3
<u>6x</u><u> </u><u>+</u><u> </u><u>12y</u><u> </u><u>=</u><u> </u><u>24...eqn. 4</u>
0 - 2y = 6
divide both sides by the coefficient of y which is -2
<u>- 2y</u> = <u>6</u>
- 2 -2
y= -3
Put y= -3 into eqn. 1
3x + 5(-3) = 15
3x - 15 = 15
3x =15 + 15
<u>3x</u> =<u> 30</u>
3 3
x = 10
Therefore X= 10 and Y= -3
The distance formula is based on the Pythagorean Theorem:
Distance = Square Root [(X2 - X1)^2<span> + (Y2 - Y1)^</span>2<span>]
</span>Distance = Square Root [(7 -1)^2 + (-7 -1)^2]
Distance = Square Root [ 6^2 + -8^2]Distance = Square Root [ 36 + 64 ]Distance = Square Root [100 ]Distance = 10
Source:http://www.1728.org/distance.htm
Answer:
They are hard and you Just have to follow the steps of solbing them
Step-by-step explanation:
Area of sector
![= \frac{30}{360} \times \pi \times {(radius)}^{2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B30%7D%7B360%7D%20%20%5Ctimes%20%20%5Cpi%20%5Ctimes%20%20%7B%28radius%29%7D%5E%7B2%7D%20)
![= \frac{30}{360} \times \ \frac{22}{7} \times {(12)}^{2}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B30%7D%7B360%7D%20%20%5Ctimes%20%20%5C%20%5Cfrac%7B22%7D%7B7%7D%20%20%5Ctimes%20%20%7B%2812%29%7D%5E%7B2%7D%20)
![= \frac{30}{360} \times \ \frac{22}{7} \times 12 \times 12](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7B30%7D%7B360%7D%20%20%5Ctimes%20%20%5C%20%5Cfrac%7B22%7D%7B7%7D%20%20%5Ctimes%20%2012%20%5Ctimes%2012)
so the area = 37.71 square metre