I’m going to say multiply both sides by a which gives you:
a^2-ab-a=2
If not give me a call
Step-by-step explanation:
Z-score is calculated by the following formula:
Z = (X-mu)/sigma
where
X = data value
mu = mean
sigma = standard deviation
Given:
mu = 500
sigma = 100
X = 680
Z-score = (X-mu)/sigma = (680-500)/100 = 180/100 = 1.8
Answer:
Cost of the first house : $480,000
Cost of the second house : $320,000
Step-by-step explanation:
An estate agent has three houses for sale. The prices of the houses were
in the ratio 6:4:3 and the cheapest house was priced at $240 000. What
were the prices of the other two houses? (SHOW WORKING)
The prices of the house has a ratio of
6:4:3
Sum total = 6 + 4 + 3 = 13
Cheapest house = $240,000
The sum total cost of the 3 houses = x
x is calculated as:
= 3/13 × x =$ 240,000
= 3x = $240,000 × 13
x = $240,000 × 13/3
x = $1,040,000
The Cost of the first house =
6/13 × $1,040,000
= $480,000
Cost of the second house
= 4/13 × $1,040,000
=$320,000
Therefore,
Cost of the first house : $480,000
Cost of the second house : $320,000
EXPLANATION
We can apply the Obtuse Triangle Theorem to check if the the measures of the sides appropiately represents the measures of the triangle:
Perimeter = 40 cm = 4x + 2x + 2 + x + 3
Adding like terms:
40 = 7x + 5
Subtracting 5 to both sides:
40 - 5 = 7x
Adding like terms:
35 = 7x
Dividing both sides by 7:
35/7 = x
Simplifying:
![5=x](https://tex.z-dn.net/?f=5%3Dx)
Then, by the obtuse triangle theorem, the following relationship should be fulfilled.