Answer:
(3x - 5) (x + 3)
Step-by-step explanation:
Multiply the coefficient of the first term by the constant:
3 x -15 = -45
Find two factors of -45 that equals 4:
-5 + 9 = 4
Rewrite the polynomial splitting 4 using -5 and 9:
3x2 - 5x + 9x - 15
Add up the first 2 terms, pulling out like factors:
x • (3x-5)
Add up the last 2 terms, pulling out common factors:
3 • (3x-5)
Add everything up:
Answer
(x+3) (3x-5)
Answer:
x = 61°
y = 61°
z = 58°
Step-by-step explanation:
In the given triangle, measures of two sides are equal. So, measures of angles opposite to them are also equal.
Therefore,
![x + x + 58 \degree = 180 \degree \\ \\ 2x = 180 \degree - 58 \degree \\ \\ 2x = 122 \degree \\ \\ x = \frac{122 \degree}{2} \\ \\ x = 61\degree \\ \\ y = 61\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\ \\ z = 58\degree \\ ( \angle s \: in \: the \: alternate \: segment) \\](https://tex.z-dn.net/?f=x%20%2B%20x%20%2B%2058%20%5Cdegree%20%3D%20180%20%5Cdegree%20%5C%5C%20%20%5C%5C%202x%20%3D%20180%20%5Cdegree%20-%2058%20%5Cdegree%20%5C%5C%20%20%5C%5C%202x%20%3D%20122%20%5Cdegree%20%5C%5C%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B122%20%5Cdegree%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%2061%5Cdegree%20%20%5C%5C%20%20%5C%5C%20y%20%3D%2061%5Cdegree%20%20%5C%5C%20%20%28%20%5Cangle%20s%20%5C%3A%20in%20%5C%3A%20the%20%5C%3A%20alternate%20%5C%3A%20segment%29%20%5C%5C%20%5C%5C%20z%20%3D%2058%5Cdegree%20%20%5C%5C%20%20%28%20%5Cangle%20s%20%5C%3A%20in%20%5C%3A%20the%20%5C%3A%20alternate%20%5C%3A%20segment%29%20%5C%5C%20)
Answer:
cos = 3/5
sin = 4/5
Step-by-step explanation:
tan=4/3 Q1
if you use Pythagorean theorem
![c {}^{2} = a {}^{2} + b {}^{2} \\ c {}^{2} = 4 {}^{2} + 3 {}^{2} \\ c {}^{2} = 16 + 9 \\ c {}^{2} = 25 \\ c = + - 5 \\](https://tex.z-dn.net/?f=c%20%7B%7D%5E%7B2%7D%20%20%3D%20a%20%7B%7D%5E%7B2%7D%20%20%2B%20b%20%7B%7D%5E%7B2%7D%20%20%5C%5C%20c%20%7B%7D%5E%7B2%7D%20%20%3D%204%20%7B%7D%5E%7B2%7D%20%20%2B%203%20%7B%7D%5E%7B2%7D%20%20%5C%5C%20c%20%7B%7D%5E%7B2%7D%20%20%3D%2016%20%2B%209%20%5C%5C%20c%20%7B%7D%5E%7B2%7D%20%20%3D%2025%20%5C%5C%20c%20%3D%20%20%2B%20%20-%205%20%5C%5C%20)
Becauseof Q1
c=5
to picture
sin = 4/5
cos = 3/5