Answer is: a= -4
STEP
1
:
1
Simplify —————
a + 3
Equation at the end of step
1
:
a 3 1
(————————+—————)-——— = 0
((a2)-9) (a-3) a+3
STEP
2
:
3
Simplify —————
a - 3
Equation at the end of step
2
:
a 3 1
(————————+———)-——— = 0
((a2)-9) a-3 a+3
STEP
3
:
a
Simplify ——————
a2 - 9
Equation at the end of step
3
:
a 3 1
(————————————————— + —————) - ————— = 0
(a + 3) • (a - 3) a - 3 a + 3
Equation at the end of step
4
:
(4a + 9) 1
————————————————— - ————— = 0
(a + 3) • (a - 3) a + 3
Pull out like factors :
3a + 12 = 3 • (a + 4)
Equation at the end of step
6
:
3 • (a + 4)
————————————————— = 0
(a + 3) • (a - 3)
3•(a+4)
——————————— • (a+3)•(a-3) = 0 • (a+3)•(a-3)
(a+3)•(a-3)
a+4 = 0
Subtract 4 from both sides of the equation :
a = -4
The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the sides.
BC² = AB² + AC²
BC² = 4² +4² = 32
BC = √32 = 4√2
BC = 4*1.41 = 5.64
The length of segment BC is 5.64 m.
Was there a typo in the possible answers by any chance? B is closest to the possible answer, but only if the division sign was a multiplication sign.
102 <span>÷ 6 = 17
102 </span><span>÷ 17 = 6
17 x 6 = 102
6 x 17 = 102</span>
Answer:
MAYA (6 minutes)
Amy (7 minutes)
Step-by-step explanation:
MAYA
Takes Maya 30 minutes to solve 5 Puzzle:
Let's express it as,
30 mins = 5 Puzzle
1 min = x Puzzle
Cross multiply to solve for the number of questions Maya solves in a minute.
It becomes:
30*x = 5*1
30x = 5
x = 30/5
x = 6mins.
It means it takes Maya 6 mins to solve one question.
FOR AMY
Takes Amy 28 mins to solve 4 puzzles.
Let's represent it as:
28 mins = 4 Puzzles
x min = 1 puzzle
Let's solve for x
(28 mins) * (1 puzzle) = 4 * x
28 = 4x
x = 28/4
x = 7 mins
It means, it takes Amy 7 minutes to solve 1 puzzle
Answer:
Option B. 
Step-by-step explanation:
we have
Solve for w
That means ----> isolate the variable w
Multiply by 5 both sides to remove the fraction
subtract 8 both sides
Rewrite
