Answer:
x = 4 + sqrt(73) or x = 4 - sqrt(73)
Step-by-step explanation by completing the square:
Solve for x:
(x - 12) (x + 4) = 9
Expand out terms of the left hand side:
x^2 - 8 x - 48 = 9
Add 48 to both sides:
x^2 - 8 x = 57
Add 16 to both sides:
x^2 - 8 x + 16 = 73
Write the left hand side as a square:
(x - 4)^2 = 73
Take the square root of both sides:
x - 4 = sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
x = 4 + sqrt(73) or x - 4 = -sqrt(73)
Add 4 to both sides:
Answer: x = 4 + sqrt(73) or x = 4 - sqrt(73)
Answer:
16%
Step-by-step explanation:
406 / 350 = 1.16
406 is 116% of 350
so 350 + 16% is 406
because 350 * 0.16 = 56
56 is 16%
350 + 56 = 406
:)
The missing length:
sqrt (24^2 + 10^2) m
Answer:
26 m
Hope this helps you out 3w+7=8
The answer is w= 1/3
Step by step:
3w+7=8
Step 1: is subtract is 7 from both sides.
3w+7-7=8-7
3w=1
Step 2: Divide both sides by 3.
3w/3 = 1/3
Your solution is:
w=1/3
Answer: 3 copies of 5 tenths = 3*0.5 = 1.5
Step-by-step explanation:
Ok, if we have:
"3 copies of a number B"
This is written as:
3*B
And we have that the number B is "5 tenths"
Now, a tenth is the first digit after the decimal point.
Then 5 tenths = 5*0.1 = 0.5
B = 0.5
3 copies of 5 tenths = 3*0.5 = 1.5
