Answer:
|SQ|=5
Step-by-step explanation:
If S is the median, then OP is a median of triangle OMN.
This implies that:
|MP|=|NP|
We group like terms and solve for x.
Now we know that: MN:SQ=2:1
But MN=2x+2
This implies that:
2x+2:SQ=2:1
Put x=4
2(4)+2:SQ=2:1
10:SQ=2:1
Therefore |SQ|=5
Answer:
x + (4/ x-2) + (2/ x-1)
Step-by-step explanation:
x + (6x/ x^2 + 2x - x -2)
x + (6x/ (x + 2) X (x - 1))
(6x/ (x + 2) X (x - 1))
(A/ x+2) + (B/ x-1)
(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)
6x = Ax + Bx - A + 2B
6x = (A+B)x + (-A+2b)
{0 = -A+2B
{6 = A+B
(A,B) = (4, 2)
(4/ x+2) + (2/ x-1)
x + (4/ x-2) + (2/ x-1)
I'm not amazing at fractions but it equals:
1/3 x4= 4/3
so 1 1/3 as mixed fraction
1.33333 repeated..
Answer:
$11,600
Step-by-step explanation:
amount loaned at 8% and ($12,000 - x) = amount loaned at 18%
Write the equation: (change the percents to decimals: 8% = 0.08 and 18% = 0.18)
(0.08)x + (0.18)($12,000 - x) = $1,000
This expresses the total amount of earned interest in terms of the amounts of the loan, x and ($12,000 - x}.
0.08x + $2,160 - 0.18x = $1,000 Simplify and solve for x.
-0.1x = -$1,160 Divide both sides by -0.1
x = $11.600 The amount loaned at 8% interest.
The answer to #11 is: x = 15
The answer to #12 is: x = 5
