Answer:
(2,-1)
Step-by-step explanation:
The ys in both questions are isolated on one side of the equation in both. The numerical coefficient of both is 1. Therefore you should equate the the left side of each equation to the other left side. The solution is the easiest one to solve because there is only 1 unknown on both sides.
4x - 9 = x - 3 Subtract x from both sides.
4x-x - 9 = -3 Combine
3x -9 = - 3 Add 9 to both sides
3x - 9+9 = - 3+9
3x = 6 Divide by 3
3x/3 = 6/3
x = 2
===============
Now use the second equation to solve for y
y = x - 3
y = 2 - 3
y = -1
==============
The solution is (2,-1)
Divide 3.42 by 0.76 to equal 4.5 or
3.42 / 0.76 = 4.5
Therefore, James lives 4.5 times the distance Megan lives from the school.
Answer:
C) 22 pi
Step-by-step explanation:
Here the diameter of the circle = 24.
Therefore, radius of the circle = 24/2 = 12 ft
Here we have to use the formula to find the arc length.
Arc length = (central angle / 360) * 2*pi*r
Central angle ABC = 360 - 30 = 330 degrees and radius (r) = 12
Now plug in these values in the formula, we get
Arc length ABC = (330/360) *2*pi*12
Now we have to simplify it.
= 11/12 *2 *pi*12
= 11*2*pi
Arc length of ABC = 22pi
Therefore, the answer is C) 22 pi
Hope you will understand the concept.
Thank you.
Step-by-step explanation
The change in Vivian’s elevation is a positive number because her elevation increased as she moved from the bottom back to the top.
72 miles ... 6 inches
x miles = ? ... 1 inch
If you would like to know the scale of the map, you can calculate this using the following steps:
72 * 1 = 6 * x
72 = 6 * x /6
x = 72 / 6
x = 12 miles
Result: 12 miles represent 1 inch on the map.
