Answer: The TV is 24 inches tall
Step-by-step explanation: The question has provided the diagonal and the width of the rectangle shaped television. From this bit of information, we can deduce that the diagonal of the rectangle (television) is also the Hypotenuse (26 inches) while the the other two sides are the Length and the Width (10 inches).
For every right angled triangle, we can apply the Pythagoras theorem to solve for any unknown side. The theorem states that
AC² = BC² + AB²
Where AC is the hypotenuse (longest side)
26² = 10² + AB²
676 = 100 + AB²
Subtract 100 from both sides of the equation
576 = AB²
Add the square root sign to both sides of the equation
√576 = √AB²
24 = AB
Therefore, the height of the television is 24 inches
x = 3y - 1
2y + x = x + 18
2y + 3y - 1 = 3y - 1 + 18
5y - 1 = 3y + 17
2y = 18
y = 9
x = 3(9) - 1
x = 27 - 1
x = 26
Answer:
Step-by-step explanation:
An absolute value is the distance a number is from 0 on the number line. So, regardless if it is a negative or a positive number, the distance from that number to 0 will always be positive. For example, -5 is 5 units away from 0, and 5 is also 5 units from zero. They have the same absolute value, even though one is negative and the other is positive.
