Answer:
1, 11x + 3y + 15z
2, 3x + 12y + -5z
Step-by-step explanation:
all you need to do is combined the like terms and make sure the signs (<em>positive and negative signs</em>) are right
Answer:
The red segment is from 1/4 to 3/4.
3/4 - 1/4 = 2/4
2/4 = 1/2
1/2
This answer can also be found by seeing there are four equal boxes making up the one larger box, since two out of the four boxes are filled then the fraction would be 2/4, which simplifies to 1/2
17a = 17
a = 1
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Answer:
Interest = 650$
Step-by-step explanation:
Given:
Invest Inv = 2000$, interest rate r = 6.5% compounded annually
and time n = 5 years
Formula for calculation is:
Int = (Inv · r · n) / 100
Int = (2000 · 6.5 · 5) / 100 = 650$
Int = 650$
God with you!!!
Answer: see proof below
<u>Step-by-step explanation:</u>
Given: A + B + C = π and cos A = cos B · cos C
scratchwork:
A + B + C = π
A = π - (B + C)
cos A = cos [π - (B + C)] Apply cos
= - cos (B + C) Simplify
= -(cos B · cos C - sin B · sin C) Sum Identity
= sin B · sin C - cos B · cos C Simplify
cos B · cos C = sin B · sin C - cos B · cos C Substitution
2cos B · cos C = sin B · sin C Addition
Division
2 = tan B · tan C

<u>Proof LHS → RHS</u>
Given: A + B + C = π
Subtraction: A = π - (B + C)
Apply tan: tan A = tan(π - (B + C))
Simplify: = - tan (B + C)

Substitution: = -(tan B + tan C)/(1 - 2)
Simplify: = -(tan B + tan C)/-1
= tan B + tan C
LHS = RHS: tan B + tan C = tan B + tan C 