Answer:
Step-by-step explanation:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Step-by-step explanation:
move the 27 to the other side of the equation like this
use this equation and substitute it into the y value of the first equation
Answer: An inequality
Step-by-step explanation:
An inequality is a mathematical sentence written with a greater than
sign, or less than sign, or equal to sign or not equal to sign or more than two of these signs at the same time to join two expressions.
You need to use the cosine for this and this is how you do it.
Answer:
x = 65°
Step-by-step explanation:
The interior angle of the triangle and 140° are adjacent and supplementary, thus
interior angle = 180° - 140° = 40°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
105° is an exterior angle of the triangle, thus
x + 40° = 105° ( subtract 40° from both sides )
x = 65°
