Perimeter is the sum of all sides of a shape. For a rectangle, it is the sum of the two lengths and two width measurements. We set up the equations as follows:
l = 2w - 3
P = 8l - 12
P = 2w + 2l
8l -12 = l - 3 + 2l
5l = 9
l = 9/5
9/5 = 2w - 3
w = 12/5
The answer
the full the question is as follow:
<span>Which of the following is an extraneous solution of (45 - 3x)^1/2 =x -9
for solving such an equation, this is the method:
finding the squared value of each member of the equation
</span>[(45 - 3x)^1/2 ]² = (x -9)² (E)
<span>
extend each value of the member
</span>[(45 - 3x)^1/2 ]² = 45 - 3x, because (sqrt a )² = a
the condition is 45 - 3x≥0 ( because of the square root)
it means - 3x≥ -45 and x ≤ 15
(x -9)² = x²-18x + 81
<span>
so </span>45 - 3x = x²-18x + 81, this is equivalent to x² - 15x +36 =0
<span>
this equation should solve for x, for finding the help
Delta = 15² - 4*36 = 81, so x = - (-15) - sqrt (81) / 2 *1=15-9 /2= 3
and </span>x = - (-15) +sqrt (81) / 2 *1= 15 +9/2= 24/2=12
<span>
for x= 12, the equation given above ( equation E) has no solution, because
we can find 3=9
so </span><span>an extraneous solution is x = 12</span><span>
</span>
Answer:
The two equations are not equivalent and no property is used.
Step-by-step explanation:
54 - (30 - 8) ... (i)
(54 - 30) - 8 ... (ii)
Solving (i) and applying PEMDAS:
We open the brackets first;
54 - 30 + 8 = 54 + 8 - 30 = 32
Solving (ii) and applying PEMDAS:
We open the brackets first;
54 - 30 = 24
24 - 8 = 16
Answer: Option A is correct
(-5,3) U (3,6]
Step-by-step explanation:
Domain of a function is the complete set of values that the independent variable can assume.
In the given graphed function we can see that the minimum value of independent variable (x) is -5 and the maximum value is 6, wherein the values -5 and 3 do not belongs to x.
This set of values is represented as
(-5,3) U (3,6]
Hope it helps.
Thank you.
That is true because the square root of 32 is about 5.66, so 4.65 IS less than it.
