Answer:
the x intercept is -2
Step-by-step explanation:
The hypotenuse of the triangle would be the diameter of the semi circle.
Using the Pythagorean theorem you can find that.
8^2 + 6^2 = x^2
64 +36 = x^2
100 = x^2
x = √100
x = 10
The diameter is 10, now find the circumference.
Circumference = diameter x PI = 10 x 3.14 = 31.4
Since it is a semi circle, the circumference would be 1/2 of that.
31.4 / 2 = 15.7
The perimeter would be 8 + 6 + 15.7 = 29.7
Answer:
Step-by-step explanation:
Find the equation of the segment going from (0,-5) to (3,7)
y intercept = -5
Slope = (-5 - 7) / (0 - 3) = -12/-3 = 4
equation: y = 4x - 5
g(x) = x^2 / f(x)
f(x)= (4x - 5)
g(x) = x^2 / (4x - 5)
g'(x) = x^2 * (4x - 5)^-1
g'(x) = 2x*(4x - 5)^-1 + (-1) *4* x^2 (4x - 5)^-2
I will leave that monster the way it is and just find g'(1)
g'(1) = 2(1) * (4(1) - 5)^-1 + (-1) (1)^2 *4* (4(1) - 5)^-2
g'(1) = 2(1) * (-1)^-1 + (-1) (1)^2 *4 * (-1)^2
g'(1) = -2 + (-1) (1)^2 (4)
g'(1) = - 2 + (-1) (1)^2 (4)
g'(1) = - 2 - 4
g'(1) = - 6
Answer:
it is a 25% decrease
Step-by-step explanation:
First you add up the red and black so see how many she has total.
45 + 60= 105
then if you need to find the probability of the red candies you put
45/ 105
then you can simplify it so it would be 8/21
45+60=105
45/105= 8/21
