Answer:
y = - 9, y = 3
Step-by-step explanation:
Calculate distance d using the distance formula
d = 
with (x₁, y₁ ) = (2, - 3) and (x₂, y₂ ) = (10, y)
d = 
= 
Given distance between points is 10, then
= 10 ( square both sides )
64 + (y + 3)² = 100 ( subtract 64 from both sides )
(y + 3)² = 36 ( take the square root of both sides )
y + 3 = ± 
= ± 6 ( subtract 3 from both sides )
y = - 3 ± 6 , thus
y = - 3 - 6 = - 9
y = - 3 + 6 = 3
Answer:
Yes. the relation is a function
Step-by-step explanation:
Here, we want to check if the relation is a function
if a relation is a function, then every x-values (input values) will have one y-value
No two output values (y values) will have a single x value
Looking at the pairs;
It is a function
Although two x values have same y value; 2 and 3 to 8; no two y values have same x value
Hence, the ordered pairs is a function
Answer:
Factors of 1458 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458. There are 14 integers that are factors of 1458. The biggest factor of 1458 is 1458. Positive integers that divides 1458 without a remainder are listed below.
Answer:
(4, -6)
Step-by-step explanation:
Simplifying
X + 20x + 10x = 20 + 9x
Combine like terms: 20x + 10x = 30x
X + 30x = 20 + 9x
Solving
X + 30x = 20 + 9x
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '-30x' to each side of the equation.
X + 30x + -30x = 20 + 9x + -30x
Combine like terms: 30x + -30x = 0
X + 0 = 20 + 9x + -30x
X = 20 + 9x + -30x
Combine like terms: 9x + -30x = -21x
X = 20 + -21x
Simplifying
X = 20 + -21x
