We have that
x²<span>-8x=39
</span>
<span>Group terms that contain the same variable</span>
(x²-8x)=39
Complete
the square. Remember to balance the equation by adding the same constants
to each side
(x²-8x+16)=39+16
Rewrite as perfect squares
(x-4)²=55-------> (x-4)²-55=0
(+/-)]x-4]=√55
(+)]x-4]=√55--------> x=4+√55
(-)]x-4]=√55-------> x=4-√55
the answer is
(x-4)²-55=0
Answer:
56
Step-by-step explanation:
I assume each person in the group must have 1 pencil AND 1 eraser each.
Since you have more pencils than erasers, then the limiting factor is the number of erasers. So a group of 56 people will have 1 pencil And 1 eraser and Clare will have 24 pencils left over (assuming Clare has her own pencil and eraser - if not then the group size is 55 assuming Clare is not in the group)
sorry if it's too confusing
Answer:
for the first picture the "small triangle" or the one on the left is A=56, the one on the right or "big one" is A=112, the whole triangle is A=168. For the second picture or the diamond shape the whole area is A=2016
Step-by-step explanation:
Answer:
$44,000
Step-by-step explanation:
The statement indicates that Sandra saves 9% of her salary and she saved $4,050 this year. That means that the 9% of her salary, x, is equal to $4,050. You can write the following:
x*0.09= 4,050
Now, you can isolate x to find her salary this year:
x=4,050/0.09= 45,000
Then, you have that this year salary was 1000 more than in her previous year. As you have found her salary for this year, you can subtract 1,000 from it to find her salary in the previous year:
45,000-1,000= 44,000
According to this, the answer is that her salary in the previous year was $44,000.
Answer:
x={(y+1) / 5}²
Step-by-step explanation:
y = 5√x +3 -4
⇒y = 5√x -1
add 1 on both sides
⇒ y + 1 = 5√x
divide both sides by 5
⇒(y+1) / 5 = (5√x) /5
⇒(y+1) / 5 = √x
now, square both sides
⇒{(y+1) / 5}² = (√x)²
∴{(y+1) / 5}² = x
