Answer:
The answer to your question is (x + 7)² + (y - 5)² = 88
Step-by-step explanation:
Equation
x² + 14x + y² - 10y = 14
Complete perfect trinomial squares
x² + 14x + (7)² + y² - 10y + (5)² = 14 + (7)² + (5)²
Simplify
x² + 14x + (7)² + y² - 10y + (5)² = 14 + 49 + 25
x² + 14x + (7)² + y² - 10y + (5)² = 88
Factor
(x + 7)² + (y - 5)² = 88 This is the equation in the form
center-radius
x-intercept = (15, 0) y-intercept = (0, 3)
slope (m) = (y₂ - y₁)/(x₂ - x₁) = (0 - 3)/(15 - 0) = -3/15 = -1/5
Point-Slope formula: y - y₁ = m(x - x₁) ; where (x₁, y₁) is one of the given points
y - 0 = (-1/5)(x - 15)
-5y = x - 15
x + 5y = 15
Answer: x + 5y = 15
Answer:
1.6
Step-by-step explanation:
8/5=1.6
1.6 x 5 = 8
The student went wrong in step three. the solutions should have been -3 and 5
An equation which can be used to solve the given system of equations is 3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11.
<u>Given the following data:</u>
y = 3x⁵ - 5x³ + 2x² - 10x + 4
y = 4x⁴ + 6x³ - 11
<h3>What is a system of equations?</h3>
A system of equations can be defined an algebraic equation that only has two (2) variables and can be solved simultaneoulsy.
Equating the given equations, we have:
y = y
3x⁵ - 5x³ + 2x² - 10x + 4 = 4x⁴ + 6x³ - 11
3x⁵ - 5x³ + 2x² - 10x + 4 - (4x⁴ + 6x³ - 11) = 0
3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0
3x⁵ - 5x³ + 2x² - 10x + 4 - 4x⁴ - 6x³ + 11 = 0
3x⁵ - 4x⁴ - 11x³ + 2x² - 10x + 15 = 0
Read more on equations here: brainly.com/question/13170908