12 out of 36 is the same as 12/36
Both 12 and 36 are divisible by 12.
12/36 = (1 * 12)/(3 * 12) = 1/3 * 12/12 = 1/3 * 1 = 1/3
Answer: 1/3
A quadratic with roots at 8 and 5 is f(x) = x^2 +12x + 20
In order to find an equation given roots you can create statements that equal 0 in order to create parenthesis. For instance we know x = 8 at one point. So, we can solve that to equal 0.
x = -2 ----> add 2 to both sides
x + 2 = 0
We can do the same for the other zero.
x = -10 ----> add 10 to both sides
x + 10 = 0
Now that we have both of these, we can multiply these two things together. This will give us the function we need.
f(x) = (x + 2)(x + 10)
f(x) = x^2 + 10x + 2x + 20
f(x) = x^2 + 12x + 20
Given:
A figure ABCP.
To find:
The measure of CP.
Solution:
In triangles ABP and CBP,
(Given right angles)
(Given)
(Common side)
Now,
(By AAS property of congruence)
We know that the corresponding parts of congruent triangles are congruent.
Therefore, the measure of CP is 8 units.
Answer: the bottom rectangle is 21 square units
The top triangles are each 6 square units
Step-by-step explanation:
Do 6 times 3.5 to find area of rectangle
Then do 3 times 4 divided by 2 for each of the top triangles
Answer:
1) Scalene
2) Equilateral
3) Isosceles
4) Right
5)Obtuse
Step-by-step explanation:
