Answer:
Number 1
Step-by-step explanation:
The equation is y^2+x^2=16 for the basic circle, so 4) is eliminated. Then, it goes down 1 y-unit and right 2 x-units, so 2) is eliminated as well. The reason 3 is wrong is because in an equation, when you add to the x then it goes left, and when you subtract from y it goes up. That means that only number 1 is a viable solution
Answer:
z = 1, z = 9
Step-by-step explanation:
Given
z² + 9 = 10z ( subtract 10z from both sides )
z² - 10z + 9 = 0
Consider the factors of the constant term (+ 9) which sum to give the coefficient of the z- term (- 10)
The factors are - 1 and - 9, since
- 1 × - 9 = 9 and - 1 - 9 = - 10, thus
(z - 1)(z - 9) = 0 ← in factored form
Equate each factor to zero and solve for z
z - 1 = 0 ⇒ z = 1
z - 9 = 0 ⇒ z = 9
Definitions in Algebra
A variable is a letter or symbol that represent numbers in a general way.
A coefficient is a number that multiplies a variable
A term is a combination of numbers and variables, all of them multiplied.
An exponent represents multiple products, like 2*2*2= 2^3
The answer is shown in the image below:
