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
Any irrational number will remain irrational when multiplied by a rational number.
<u>Answer: Any irrational number.</u> (Like pi or the sqr of 2.)
1. (x−1)(5x+8)−2x+5
=(x)(5x)+(x)(8)+(−1)(5x)+(−1)(8)+−2x+5
=5x2+8x+−5x+−8+−2x+5
Combine Like Terms:
=5x2+8x+−5x+−8+−2x+5
=(5x2)+(8x+−5x+−2x)+(−8+5)
=5x2 + x + −3
2. (−2+5)(3x+9)
=9x+27
3. 2x+5−8x+12
=2x+5+−8x+12
Combine Like Terms:
=2x+5+−8x+12
=(2x+−8x)+(5+12)
=−6x+17
4. (−x+3)(−5x−2)
=(−x+3)(−5x+−2)
=(−x)(−5x)+(−x)(−2)+(3)(−5x)+(3)(−2)
=5x2+2x−15x−6
=5x2 − 13x − 6
