Use the distance formula;
10=√(-2-x)²+(4-y)²
Now put the options one by one into the above equation;
you find that option b satisfies the equation which is the correct answer.
The first quartile is 27 and the third is 36 you would subtract 36 - 27 = 9.
Answer:
The answer to your question is: x = -1
Step-by-step explanation:
Data
slope of l = x
slope of m = x +2
they are ⊥
Process
If they are ⊥, then, x + 2 = - 1/x
x(x + 2) = -1
x² + 2x = -1
x² + 2x + 1 = 0
(x + 1)² = 0
x + 1 = 0
x = -1
Hello from MrBillDoesMath!
Answer:
3 1/2 (i.e 3.5)
Discussion:
From the attached file, the area of the shaded triangle =
Area = <u>square</u> surrounding triangle -
area triangle 1 - area triangle 2 - area triangle 3
= 4 * 4 -
(1/2) (1 * 1) - (1/2) (3 * 4) - (1/2) (3 * 4)
= 16 - 1/2 - 1/2 (12) - 1/2(12) =
= 16 - 1/2 - 12 =
= 4 - 1/2
= 3 1/2
Where we have used that the area of a triangle =
(1/2) base * height.
Thank you,
MrB
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>
