Answer:
480 miles.
Step-by-step explanation:
Let x represent the distance between Maria's house and mountains ans r represent Maria's rate for going trip.
We have been given that there was heavy traffic on the way there, and the trip took 12 hours.
We are also told that hen Maya drove home, there was no traffic and the trip only took 8 hours. Maria's average rate was 20 miles per hour faster on the trip home.
So Maria's speed while returning back would be 
.
Upon equating both distances, we will get:
Upon substituting in equation , we will get:
Therefore, Maya live 480 miles away from the mountains.
No, 56 is not enough to decorate 2 dozen cupcakes. If he was to top 2 dozen cupcakes with 3 walnuts then he would need 72 walnuts.
3•24(2dozen)=72
The answer is 6. You can find slope by using the slope formula: M= y1 - y2 / x1 - x2. In this case you can choose any two points from the table. I chose the second two points. the equation would then be (7-1) / (2-1). It would then be 6/1 or 6.
Hope this helped(:
Answer:
10. y=2x+1 y = -1/2x +1
11. y=-1/3x +6 y = 3x -4
12. y=-5x-18 y=1/5x + 14/5
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope, we use the slope from the equations for parallel lines and modify it for perpendicular lines.
10. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is 2. The parallel slope is 2 and the perpendicular slope is the negative reciprocal or -1/2.
Parallel Perpendicular
(y-1)=2(x-0) (y-1)==-1/2(x-0)
y-1=2x y-1 = -1/2 x
y=2x+1 y = -1/2x +1
11. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -1/3. The parallel slope is -1/3 and the perpendicular slope is the negative reciprocal or 3.
Parallel Perpendicular
(y-5)=-1/3(x-3) (y-5)=3(x-3)
y-5=-1/3x+1 y-5 = 3x - 9
y=-1/3x +6 y = 3x -4
12. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form. The slope here is -5. The parallel slope is -5 and the perpendicular slope is the negative reciprocal or 1/5.
Parallel Perpendicular
(y-2)=-5(x--4) (y-2)=1/5(x--4)
y-2=-5(x+4) y-2 = 1/5(x +4)
y-2=-5x -20 y-2 = 1/5x +4/5
y=-5x-18 y=1/5x + 14/5
Hey whats up i have a question im failing and now im trying to keep up and trying to join the military and police force
