Answer:
Then the desired equation is y = -2x - 6.
Step-by-step explanation:
As we move from point (-3, 0) to point (0, -6), x increases by 3 and y decreases by 6. Thus, the slope of the line segment connecting these two points is m = rise / run = -6/3 = -2.
Now use the slope-intercept equation of a straight line to determine the y-intercept of this line:
y = mx + b becomes 0 = -2(-3) + b, so that b = -6.
Then the desired equation is y = -2x - 6.
Check: Does (0, -6) satisfy y = -2x - 6? Is -6 = -2(0) - 6 true? YES
The equation for this statement:
2x – 14 = 6
=> 2x = 6 + 14
=> 2x = 20
=> x = 20/2
=> x = 10
Answer:
To get the Least Common Multiple (LCM) of 12 and 46 we need to factor each value first and then we choose all the factors which appear in any column and multiply them:
12:
2
2
3
46:
2
23
LCM:
2
2
3
23
The Least Common Multiple (LCM) is: 2 x 2 x 3 x 23 = 276
Step-by-step explanation:
w=2
Step-by-step explanation:
-w=-10+4w
10=4w+w
10=5w
10/5=w
2=w
Area of the room = 14*15 = 210 ft^2
Cost padding = 210*89 = 186.90
Cost of carpet = 210 * 2.99 = 627.90
Perimeter of the room = 2*15 + 2*14 = 58 ft
Cost of strip = 58*0.19 = 11.02
Total cost of supplies = 186.90 + 627.90 + 11.02 = 825.82 Answer
