Answer:
9
Step-by-step explanation:
Let's say Mark is M and his brother is B.
M+5=B
M+B=23
Now we can solve using subsitution.
M+M+5=23
(Subtract 5 from both sides)
2M=18
M=9
Hope this helped!
Answer:
<u>32m^2</u>
Step-by-step explanation:
32m^2
8*4 = <u>32</u>
Have a nice day! :-)
Answer:
3:1
Step-by-step explanation:
75%=
=
25%=
=
Answer:
y=1 , z=-2
Step-by-step explanation:
I will use the method of elimination :
Multiply the top equation by 5 to make equation 3 :
35z + 15y = -55
Multiply bottom equation by 3 to make equation 4:
6z + 15y = 3
Subtract equation 3 from equation 4 to eliminate the y :
-29z = 58
Divide both sides by -29 to solve for z :
z = 58 ÷ -29
z = -2
Substitute this value into either equation 1 or 2 to solve for y :
I chose equation 2 :
2(-2) + 5y = 1
-4 + 5y = 1
Add 4 to both sides :
5y = 5
Divide both sides by 5 :
y = 1
Hope this helped and have a good day
Answer:
sin(mod(π/2 -x, π) -π/2) . . . . except undefined at odd multiples of π/2
Step-by-step explanation:
The derivative of the modulus of the cosine function is the same as the derivative of the cosine function between cusps: -sin(x), for -π/2 < x < π/2.
There are many ways to make that pattern repeat with period π. one of them is this:
(d/dx)|cos(x)| = sin(mod(π/2 -x, π) -π/2) . . . . . except undefined at x=π/2+kπ, k any integer
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The graph shows the modulus of the cosine function along with its derivative as computed by the graphing calculator and its derivative as defined above.