First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
Part A: One solution because the lines intersect one time.
Part B: (3,4) or x=3 and y=4 (depending on how you have to write it)
Answer:
-7√5
Step-by-step explanation:
I'll transcribe your verbal question into a symbolic one as best I can:
-2√20 - √125
Note how √20 = √4*√5 and √125 = √25 *√5. Thus,
your -2√20 - √125, after we've factored √5 out of both terms, becomes
-2(2)√5 - 5√5, or -2√5 - 5√5, which combines to form
-7√5 (answer)
The lenght would be 12*4 is 48
For number two it’s Milton,Laredo,France Because all you have to do is add the number of water and see which one is bigger and which one is smaller and put them in order