Answer:
its A
Step-by-step explanation:
Answer:
The perpendicular equation is y = -3x -21
Step-by-step explanation:
Perpendicular lines have the exact opposite slope as the other equation and they never have the same y-intercept.
To find the perpendicular slope just look at the slope in the original equation and get the exact opposite.
First let's simplify the equation.
-5 + x = 3y (divide by 3 on both sides to get y by itself)
-5/3 + 1/3x = y or y = 1/3x + 5/3
The exact opposite of this slope would be -3.
Now plug in the point you were given so that we can find the y-intercept.
6 = -3(-9) + b (b = y-intercept)
6 = 27 + b (subtract 27 on both sides)
-21 = b
So the perpendicular equation looks like this.
y = -3x -21
Answer:
Step-by-step explanation:
<em>See the attached</em>
All given details are reflected in the diagram (not to scale)
- PA is at 225°, PB is at 116°, BA is at 258°
- AB = 3.9 km
- AP = x
- m∠P = 225° - 116° = 109°
- m∠A = 258° - 225° = 33°
- m∠B = 180° - (109° + 33°) = 38°
<u>Use the law of sines:</u>
- x/ sin 38° = 3.9 / sin 109°
- x = 3.9 sin 38° / sin 109°
- x = 2.54 km (rounded)
Let h = weight of the hardcover book.
Let p = weight of the paperback book.
<span>"The hardcover version of a book weighs twice as much as its paperback version."
h = 2p
"</span><span>The hardcover book and the paperback together weigh 5.3 pounds.</span><span>"
h + p = 5.3
The equations are:
h = 2p
h + p = 5.3
</span>
The answer in the attached figure