Answer:
Step 3: x² + 6x + 64 = -8 + 64
Step-by-step explanation:
At step 3 add 64 on both sides to complete the square.
so x² + 6x = -8
becomes x² + 6x + 64 = -8 + 64 when 64 is added both sides giving us step 3.
continuing from there, we get
x² + 6x + 64 = 56
we then use a² + 2ab + b² = (a + b)² on the left side to get
(x + 8)² = 56 (solve the equation for x)
by taking the root on both sides
√(x + 8)² = √56
x + 8 = +- 2√14 (separate the equations
x + 8 = 2√14
x + 8 = -2√14
Solving for x
x = 2√14 - 8 or x = -2√14 - 8
Answer:
1/5, 1/6 and 1/15
Step-by-step explanation:
Multiples of 15 are 30, 45, 60, 75, 90. Now, when you look at the list of multiples, you can see that 30 is the smallest number that appears in each list. Therefore, the least common denominator of 1/5, 1/6, and 1/15 is 30.
Answer:
90
Step-by-step explanation:
= 6(12+3)
= 6*12 + 6*3
= 72 + 18
= 90
Answer:
m=117
Step-by-step explanation:
So this area is 360 degrees
What you can see the 68 degrees is congruent to its opposing side so we can eliminate those. 360 - 126= 234
We can see m is congruent to U
234/2=117
m=117
Answer:
49/60 or 0.816
Step-by-step explanation:
