Answer:
y = -14/3x + 43/3
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-9) / 2 - 5
14 / -3
- 14/3
y = -14/3x + b
5 = -14/3(2) + b
5 = -28/3 + b
43/3 = b
y = -14/3x + 43/3
We have been given in a cohort of 35 graduating students, there are three different prizes to be awarded. We are asked that in how many different ways could the prizes be awarded, if no student can receive more than one prize.
To solve this problem we will use permutations.

We know that formula for permutations is given as

On substituting the given values in the formula we get,


Therefore, there are 39270 ways in which prizes can be awarded.
Answer:

Step-by-step explanation:
Division operation of function:

Example:

Answer:



Step-by-step explanation:
step 1
Find the measure of side c
Applying the law of cosines

substitute the given values



step 2
Find the measure of angle A
Applying the law of sine

substitute the given values




step 3
Find the measure of angle B
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so

substitute the given values



Answer:
7:1
Step-by-step explanation:
There are two cubes, one with 14 cm and one with 2 cm. 14:2 is equal to 7:1.