Given:
Three integers, a, b, and c, where c is a positive integer.
The product of a and b is 6.
The product of a and c is -4.
The product of b and c is -6.
To find:
The values of a,b and c.
Solution:
According to the given information:
...(i)
...(ii)
...(iii)
From (ii), we get
...(iv)
From (iii), we get
...(v)
Putting and in (i), we get
Taking square root on both sides, we get
It is given that c is a positive integer. So, it cannot be negative and the only value of c is .
Putting in (iv), we get
Putting in (v), we get
Therefore, the values of a,b,c are .
The area of the triangle ABC is 207.5 square units.
Explanation:
The measurements of the sides of the triangle are , and
We need to determine the area of the triangle ABC.
<u>Area of the triangle:</u>
The area of the triangle can be determined using the formula,
where , and
Substituting these values in the above formula, we get,
Simplifying the values, we get,
Rounding off to the nearest tenth, we get,
Thus, the area of the triangle ABC is 207.5 square units.
The answer is definitely 31
Answer:
$243.
Step-by-step explanation:
We can use algebra here.
Let x = the original price.
Then 1/3 x - 27 = 54
1/3x = 54 + 27 = 81
x = 81 / 1/3
x = 81 * 3
x = $243 (answer).