Remember the distributive property? It goes like x(a+b)=xa+xb... For example 3(6+7)=(3*6)+(3*7)=39
Same here
5(3x-6)-8(3x-7)
do the thing
(15x-30)-(24x-56)
Take parentheses off.
15x-30-24x+56
//WHY PLUS 56 NOT MINUS?
//because there was a minus sign outside the original parentheses, so the signs inside have to be flipped when the parentheses is taken off
//Let's simplify now
15x-24x-30+56
-9x+26
^^The answer!
I has no idea sorry I'm only in 7th grade I wish I could help
Answer:
The length of the hypotenuse ≈ 39.7 cm
Explanation:
Since the given triangle is a right-angled triangle, this means that we can apply the Pythagorean theorem.
The equation for Pythagorean calculation is:
(hypotenuse)² = (first leg)² + (second leg)²
In the given, we have:
first leg = 30 cm
second leg = 26 cm
Substitute with the givens in the above equation to get the hypotenuse as follows:
(hypotenuse)² = (30)² + (26)²
(hypotenuse)² = 1576
This means that:
either hypotenuse = √1576 = 39.69 ≈ 39.7 cm ..........> accepted
or hypotenuse = -√1576 = -39.69 ......> rejected as length can't be negative
Hope this helps :)
