Slope formula is
m = (y2 - y1)/(x2 - x1)
A. m = (5 - 0)/(-2 + 2)
m = (5)/(0)
m = error
B. m = (-2 - 0)/(0 + 2)
m = (-2)/(2)
m = -1
C. m = (2 - 0)/(2 - 0)
m = (2)/(2)
m = 1
D. m = (0 - 0)/(2 - 3)
m = (0)/(-1)
m = 0
the undefined slope would be the one that came out as error, so A
First, factor the expression on the top. What two numbers add to get 8 and multiply to 15? 5 and 3! so the top expression factors to (x+3)(x+5). You can cancel the x+3 from the denominator and end up with x+5. Make sense?
Answer:
9
Step-by-step explanation:
18 x 1/2
18/2
9
We can use quadratic formula to determine the roots of the given quadratic equation.
The quadratic formula is:
b = coefficient of x term = 5
a = coefficient of squared term = 1
c = constant term = 7
Using the values, we get:
So, the correct answer to this question are option E and F
Answer:
4Joules
Step-by-step explanation:
According to Hooke's law which states that extension of an elastic material is directly proportional to the applied force provide that the elastic limit is not exceeded. Mathematically,
F = ke where
F is the applied force
K is the elastic constant
e is the extension
If a spring exerts a force of 6 N when stretched 3 m beyond its natural length, its elastic constant 'k'
can be gotten using k = f/e where
F = 6N, e = 3m
K = 6N/3m
K = 2N/m
Work done on an elastic string is calculated using 1/2ke².
If the spring is stretched 2 m beyond its natural length, the work done on the spring will be;
1/2× 2× (2)²
= 4Joules
