Answer:
Length = 42, Width = 25
Step-by-step explanation:
You write out the equation for the length, which is L=2w-8 (Length is L and width is W) You substitute in the length in the original equation, 2L + 2W = 134 ( I got this equation from knowing that 2 lengths plus 2 widths equals the perimeter, 134.) Substitute 2w-8 for L, you're left with 2(2w-8) + 2w = 134. Simplify further, you have 4w-16+2w=134. Once you're done, you have W=25. Plug that back into the original equation, then solve. L = 2(25)-8, L=42.
Cos M = 40/76
Cos M = 10/19
M = 58 degrees
This is the concept of arithmetic:
Given that Carol ran a total 1 3/4 miles for 5 days last week, the total distance covered was:
Total distance=(distance per day)×(total number of days)
=1 3/4×5
=7/4×5
=35/4
=8 3/4 miles
Total distance ran this week is:
Total distance=(2 1/4×4)
=9/4x4
=9 miles
therefore we conclude that the distance covered this week was greater than the distance covered last week.
b] this distance was greater by:
difference=(distance covered this week)-(distance covered last week)
=9-35/4
=(36-35)/4
=1/4
the answer is 1/4 miles
The vertex of the parabola is (0,4), because you can use -b/2a to find the x coordinate a of the vertex. There is no b so b=0 and 0/anything is 0. Then you can plug 0 into the equation to find the y coordinate of the vertex. When you plug in 0 you get 4, so the vertex is (0,4)