Answer:
y = 4x - 14
Step-by-step explanation:
Use point-slope form and substitute the values.
y - 2 = 4(x - 4)
y - 2 = 4x - 16
y = 4x - 14
Answer:
1. The y-intercept
2. The slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10
Step-by-step explanation:
1. The value of the y coordinate at the point which the graph meets the y-axis is called to the y-intercept. It is the value at which the x-coordinate is equal to zero, that is, the coordinate of the point at the y-intercept = (y, 0)
2. Given that Clarissa eats 1 piece of chocolate every 10 seconds, we have the slope of the equation represent the relationship between the time duration in which Clarissa eats chocolate is 1/10.
Answer:
A = 48, and B = 52
Step-by-step explanation:
Simplify 8 = 2 hours to 4 = 1 hour, then multiply 4 times 12 to get the answer to a. The answer to b would be multiplying 4 times 13.
Answer:
(0 , -a²)
Step-by-step explanation:
tangent at x = a and x = -a
y = x² (a , a²) and (-a , a²) must be on the curve and tangent to curve
gradient dy/dx = 2x
slope (m) at x = a is <u>2a</u> and slope (m') at x=-a is<u> -2a</u>
line1: (y - a²) / (x - a) = 2a
y - a² = 2a (x - a) y = 2ax - a² ... (1)
line2: (y - a²) / (x + a) = - 2a y = -2ax- a² ... (2)
(1) - (2): 4ax = 0 a≠0 x = 0
y = - a²
I wish I did it right, or ....
Answer:
x^2 -20x + 100
Step-by-step explanation:
How this works is that you multiply each number by every other number, so.
(x+a)(x+b) so you do x times x since the parenthesis multiplies them together. Then you do x times b.
Then you do a times x since a is the next number in the first pair. then you do a times b.
(* is the sign for multiplication for the sake of simplifying it and to be easier than doing something like x x x where you are multiplying x together with x.)
So in the expression (x + a)(x + b) you are basically doing
x * x + x * b + a * x + a * b
In your case, a is = to -10 and b is equal to -10
So your expression would be
x * x + x * -10 + -10 * x + -10 * -10
so x times x is x^2 and x times -10 is -10x You are doing -10 * x twice so it is -20x and -10 times -10 is 100
So the final equation would be x^2 plus -20x plus 100 or
x^2 + (-20x) + 100
which is
x^2 -20x + 100
Hope this helps!