We have
x² + 24x = 17 (1)
Note that
(x + 12)² = x² + 24x + 144
By adding 144 to the left side of equation (1), it becomes a perfect square.
Therefore
x² + 24x = (x+12)² - 144 (2)
Substitute (2) into (1).
(x + 12)² - 144 = 17
(x + 12)² = 17 +144
(x + 12)² = 161
Answer:
We added 144 to the left side of equation (1) in order to make it a perfect square.
Answer:
Step-by-step explanation:
x + 67 = 3x - 53 ( exterior angle of a triangle is equal to the sum of two opposite interior angles )
3x - x = 67 + 53
2x =120
x = 120 /2
x = 60
HOPE IT WILL HELP :)
(1) n is not divisible by 2 --> pick two odd numbers: let's say 1 and 3 --> if , then and as zero is divisible by 24 (zero is divisible by any integer except zero itself) so remainder is 0 but if , then and 8 divided by 24 yields remainder of 8. Two different answers, hence not sufficient.
(2) n is not divisible by 3 --> pick two numbers which are not divisible by 3: let's say 1 and 2 --> if , then , so remainder is 0 but if , then and 3 divided by 24 yields remainder of 3. Two different answers, hence not sufficient.
(1)+(2) Let's check for several numbers which are not divisible by 2 or 3:
--> --> remainder 0;
--> --> remainder 0;
--> --> remainder 0;
--> --> remainder 0.
Well it seems that all appropriate numbers will give remainder of 0.
Answer:
<h2>altitude = 5</h2>
Step-by-step explanation:
Look at the picture.
Use the Pythagorean theorem:
<em>subtract 144 from both sides</em>
