Answer:
The answer to your question is the third option The x- and y coordinates are switched.
Step-by-step explanation:
Remember that to plot a point there will be a pair of numbers separated by a comma.
The first number is the x coordinate and the second number is the y-coordinate.
In this problem, number 4 is the x-coordinate and -1.5 is the y-coordinate.
Look for the x-coordinate in the horizontal axis and y-coordinate in the vertical axis.
Answer:
![Z = \frac{37i }{113 } - \frac{23}{113}](https://tex.z-dn.net/?f=Z%20%3D%20%20%5Cfrac%7B37i%20%7D%7B113%20%7D%20%20-%20%20%5Cfrac%7B23%7D%7B113%7D%20)
Step-by-step explanation:
We have the complex number relationship as:
E=IZ
Where E=(5+9i) and I=(8+7i)
We solve for Z to get;
Z=E/L
We then substitute the expressions to get:
![Z = \frac{5 + 9i}{8 + 7i}](https://tex.z-dn.net/?f=Z%20%3D%20%20%5Cfrac%7B5%20%2B%209i%7D%7B8%20%2B%207i%7D%20)
We rationalize to get:
![Z = \frac{5 + 9i}{8 + 7i} \times \frac{8 - 7i}{8 - 7i}](https://tex.z-dn.net/?f=Z%20%3D%20%20%5Cfrac%7B5%20%2B%209i%7D%7B8%20%2B%207i%7D%20%20%5Ctimes%20%20%5Cfrac%7B8%20-%207i%7D%7B8%20%20-%207i%7D%20)
We simplify to obtain:
![Z = \frac{40 - 35i + 72i - 63}{ {8}^{2} + {7}^{2} }](https://tex.z-dn.net/?f=Z%20%3D%20%20%5Cfrac%7B40%20-%2035i%20%2B%2072i%20-%2063%7D%7B%20%7B8%7D%5E%7B2%7D%20%2B%20%20%7B7%7D%5E%7B2%7D%20%7D%20)
This gives
![Z = \frac{37i - 23}{113 }](https://tex.z-dn.net/?f=Z%20%3D%20%20%5Cfrac%7B37i%20-%2023%7D%7B113%20%7D%20)
Or
![Z = \frac{37i }{113 } - \frac{23}{113}](https://tex.z-dn.net/?f=Z%20%3D%20%20%5Cfrac%7B37i%20%7D%7B113%20%7D%20%20-%20%20%5Cfrac%7B23%7D%7B113%7D%20)
You distribute the p outside the parenthesis to everything in the parenthesis individually. So the answer would he 6p+30+36p
Answer:
Step-by-step explanation:
The focus lies above the vertex, so the parabola opens upwards.
Answer:
D=E (Base angle of isosceles triangle are equal)
D+E+F= 180° (sum of angles of a triangle️)
(4x+7)+(4x+7)+(5x+10) = 180
13x = 180- 24
x= 156/13 = 12°
so, E= 4x+7 = 4×12+7 = 55
Hope this helps:)