Y = 2x + 3
First, find the y-intercept (b). This is where the line meets the y-axis. The line meets the y-axis at 3, so the y-intercept is 3.
Now, find the slope (m) of the line. Slope is rise divided by run. The line goes up by 2, over by 1, up by 2, over by 1, and so on. So, the rise is 2 and the run is 1. 2 divided by 1 is 2, so the slope is 2.
Put these together into the equation to get y = 2x + 3.
Answer:
x = 31 °
Step-by-step explanation:
90 = 58 + x
x = 90 - 58
x = 31 °
The drummers final position would be
-1, -2
PART A:
The given quadratic equation is 2x²-10x-8=0
The radicand is given by b²-4ac where a, b, and c are the constants in a quadratic form ax²+bx+c
From the given equation, we have
a = 2
b = -10
c = -8
Radicand b²-4ac = (-10)² - 4(2)(-8) = 100 + 64 = 164
The radicand is >0 hence the quadratic equation has two distinct roots
PART B:
4x²-12x+5 = 0
We can use the factorization method to solve the equation
Firstly, we multiply 4 by 5 to get 20
Then we find the pair of numbers that multiply gives 20 and sum gives -12
The pair of number is -2 and -10
Rewriting the equation
4x²-2x-10x+5 = 0
2x(2x-1)-5(2x-1) = 0
(2x-1)(2x-5) = 0
2x-1 = 0 and 2x-5 = 0
x = 1/2 and x = 5/2
