Y-3=1/2(x+2)
To find the y-intercept, we must first get the equation in slope intercept form. Start off by distributing 1/2 into the parentheses.
y-3= 1/2x+1
Add 3 to both sides
y= 1/2x+4
The slope is whatever is in front of x, in this case, 1/2. The y-intercept is the number after that which would be 4
Answer:
15in
Step-by-step explanation:
Area=width x length
Width=375/25 = 15in
Answer:
Translation then Reflection
Step-by-step explanation:
Step 1 to 2 is Translation
Step 2 to 3 is Reflection
This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.
To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.
The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:
4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13
This is the answer you are looking for. I hope this helps :)
