Step-by-step explanation:
Absolute value of a number gives the positive quantity of the number.
For instance,

From this example, therefore we know that

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In this question,






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
Answer:
The equal sides' length = 10
Third side length = 18
Step-by-step explanation:
Let the two equal sides' length be "x"
Let the third side length be "y"
Third side (y) is 2 LESS THAN TWICE the equal side, so we can write:
y = 2x - 2
The perimeter is 38. The perimeters is the sum of all three sides. So we can write:
x + x + y = 38
Replacing y with 2nd equation, we have:
x + x + (2x - 2) = 38
Now, we can solve this for x first:

Now, y is:
y = 2x - 2
y = 2(10) - 2
y = 20 - 2
y = 18
The equal sides' length = 10
Third side length = 18
Area for a triangle is (1/2) bh or bh/2
So using this info, b = 1.5 m and h = x and A = 1.5 m^2
A = bh/2
1.5 = 1.5x/2
Multiply both sides by 2 to get rid of fraction ... 3 = 1.5x
Divide both sides by 1.5 ... 2 = x so x= 1.5 m