Answer:

Step-by-step explanation:
Let the exponential function be

We substitute (0,9) to get:



The equation now becomes:

We substitute (3,72) to get:



The equation is therefore

AB is divided into 8 equal parts and point C is 1 part FROM A TO B, so the ratio is 1:7, with C being 1/7 of the way. The ratio is k, found by writing the numerator of the ratio (1) over the sum of the numerator and denominator (1+7). So our k value is 1/8. Now we need to find the rise and the run (slope) of the points A and B.

. That gives us a rise of -4 and a run of 12. The coordinates of C are found in this formula:
![C(x,y)=[ x_{1} +k(run), y_{1} +k(rise)]](https://tex.z-dn.net/?f=C%28x%2Cy%29%3D%5B%20x_%7B1%7D%20%2Bk%28run%29%2C%20y_%7B1%7D%20%2Bk%28rise%29%5D)
. Filling in accordingly, we have
![C(x,y)=[-3+ \frac{1}{8}(12),9+ \frac{1}{8}(-4)]](https://tex.z-dn.net/?f=C%28x%2Cy%29%3D%5B-3%2B%20%5Cfrac%7B1%7D%7B8%7D%2812%29%2C9%2B%20%5Cfrac%7B1%7D%7B8%7D%28-4%29%5D%20%20)
which simplifies a bit to

. Finding common denominators and doing the math gives us that the coordinates of point C are

. There you go!
Draw a simple branch diagram to work the probabilities out.
You find that the chance of a poisonous mushroom is 0.08 and the chance of a red poisonous is 0.04.
So the probability that a poisonous mushroom is red is 1/2 or 0.5.
The left hand side expression of the given equation is a difference of two squares. The first term, x², is a square of x and the second term, 25 is the square of 5. The factors of the expression are (x - 5) and (x + 5).
(x - 5)(x + 5) = 0
The values of x from the equation above are x = -5 and x = 5.
Supplementary angles are those whose sum is equal to 180° while those that are complementary are those whose sum is equal to 90°. Since, we are given that bre is the complement of itself, its measure can be calculated through the equation,
m∠bre + m∠bre = 90°
m∠bre = 45°
Then, for the relationship of bre and tap, we have the equation,
m∠bre + m∠tap = 180°
45° + m∠tap = 180°
m∠tap = 135°
The measure of tap is equal to 135°.