17.01
05.00
02.00
03.00
+____
27.01
07.00
-____
20.01
100.00
-____
79.99
A. -3+4i Square both numbers, add them, then find the square root. Essentially, use the Pythagorean theorem. -3^2 + 4^2 9 + 16=25 Square root of 25 is 5.
Y = mx + b
First equation 1 = m(4) + b, bring everything to one side m(4) + b - 1 = 0
Second equation 7 = m(5) + b, bring everything to one side m(5) + b - 7 = 0
Set them equal to each other,
m(4) + b - 1 = m(5) + b - 7
If you bring the b over to the left hand side it becomes
m(4) + b - b - 1 = m(5) - 7
m(4) - 1 = m(5) - 7
Solve for m
6 = m
Plug m = 6 into either equation from the beginning,
m(4) + b - 1 = 0
6(4) + b - 1 = 0
24 + b - 1 = 0
b = -23
Knowing m and b we can now make an equation
y = mx + b
y = 6x -23 Final answer
Answer:
x is 10°, expression of angle could be
180 - z or 180 - 5x, the value of y is 130° if z is 50°
Step-by-step explanation:
y + z is 180°
x is 50/5 = 10°
z is 50°
y is 180 - z = 180 - 50 = 130°
y can be 180 - 5x or 180 - z
They would meet 30 times after 10 minutes.
Since Nick and Sally run on the 100m straight track, and Nicks's speed is 3m / s, while Sally's speed is 2m / s, if they both start from two sides of the track, running towards each other continuously, to determine how many times they would meet each other after 10 minutes the following calculation should be performed:
- 30 x 20 + 2 x 20 = 60 + 40 = 100
- 10 minutes = 600 seconds
- 600/20 = X
- 30 = X
Therefore, they would meet 30 times after 10 minutes.
Learn more about maths in brainly.com/question/25849676
