Answer:
y - 6 = 3(x + 2)
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: m(slope) = 3, (6, -2)
(x1, y1) = (6, -2)
Input the given values of the slope and the point into the equation for point-slope form:
y - (-2) = 3(x - 6)
y + 2 = 3(x - 6)
The equation written in point-slope form is: y + 2 = 3(x - 6)
Answer:
solution set are


Step-by-step explanation:
we are given system of equation as


For finding solution set , we can draw graph of both equations
and then we can find intersection point
the intersection point will be our solution set
we get graph as
So, solution set are


Answer:
Step-by-step explanation:
Set B = 60 elements
Set A = x elements
A∩B = 12
A∪B = 82
x = (82+12 - 60) = 34 elements
Simplify the following polynomial expression:
(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)
Lets Simplify Your Equation, Step by Step:
(5x^4 - 9x^3 + 7x -1) + ( -8x^4 + 4x^2 - 3x + 2) - ( -4x^3 + 5x -1) (2x - 7)
Solution: ===> 5x^4 − 37x^3 − 6x^2 + 41x − 6 = 0
Distribute:
= 5x^4 + -9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7
Combine Like Terms:
= 5x^4 + −9x^3 +7x + −1 + −8x^4 + 4x^2 + −3x + 2 + 8x^4 + −28x^3 + −10x^2 + 37x + −7
= (5x^4 + −8x^4 +8x^4) + (−9x^3 + −28x^3) +(4x^2+ −10x^2) +(7x + −3x + 37x)+(−1 + 2 + −7)
= 5x^4 + −37x^3 + −6x^2 + 41x + − 6
Hence, Answer:
= 5x^4 −37x^3 −6x^2 + 41x − 6 = 0
Hope that helps!!!! : )