Solution:
<u>Step-1: Find the slope of the line.</u>
Formula of slope: y₂ - y₁/x₂ - x₁
- y₂ - y₁/x₂ - x₁ = Slope
- => -2 - (-5)/-8 - (-4) = Slope
- => -2 + 5/-8 + 4 = Slope
- => 3/-4 = Slope
<u>Step-2: Use the point slope formula to determine the slope.</u>
Point slope form formula: y - y₁ = m(x - x₁)
- y - y₁ = m(x - x₁) = Equation of line
- => y - (-5) = -3/4{x - (-4)} = Equation of line
- => y + 5 = -3/4{x + 4} = Equation of line
- => y + 5 = -3x/4 - 3 = Equation of line
- => y = -3x/4 - 8 = Equation of line
The equation of the line is <u>y = -3x/4 - 8.</u>
The coordinated of the preimage would be :
x = x cos θ + y sin θ
y = x sin θ + y cos θ
where
x = -4
y = 7
θ = -90
hope this helps
Answer:
72
Step-by-step explanation:
All angles add up to 360
Answer:
(5x +4y)^2
Step-by-step explanation:
The first and last terms are both perfect squares, and the middle term is twice the product of their roots. That means the trinomial is the perfect square trinomial ...
25x^2 +40xy +16y^2 = (5x +4y)^2
_____
It matches the pattern ...
a^2 +2ab +b^2 = (a +b)^2
Answer: 24xy
I'm not sure if I'm right, but if I am and you have any questions about how it was solved, feel free to ask!! :)