Answer: {5 ± 2√10, 5 - 2√10}
Step-by-step explanation: First isolate the binomial squared by adding 40 to both sides to get (x - 5)² = 40.
Next, square root both sides to get x - 5 = ± √40.
Notice that root of 40 can be broken down to 2√10.
So we have x - 5 = ± 2√10.
To get <em>x</em> by itself, add 5 to both sides to get x = 5 ± 2√10.
So our answer is just {5 ± 2√10, 5 - 2√10}.
As a matter of form, the number will always come before the
radical term in your answer to these types of problems.
In other words, we use 5 ± 2√10 instead of ± 2√10 + 5.
Answer:
$255,331
Step-by-step explanation:
Calculation for the estimated price
ln (price) =11.65 +0.000473*square foot
Square feet =1,692
First step is to find the ln (price)
ln (price) =11.65 +0.000473*1,692
ln (price)=12.450316
Last step is to calculate the Estimated price by using calculator to find the exponential of 12.450316
Estimated price=e^(12.450316)
Estimated price=$255,330.99
Estimated price=$255,331 Approximately
Therefore the estimated price of a house that is 1,692 square feet will be $255,331
-16t^2+400=0
16t^2=400
take square root on both sides.
4t=20
t=20/4
t=5
9514 1404 393
Answer:
83 m
Step-by-step explanation:
The attached diagram shows the lengths of the midlines to be 3.16 and 5.10 units on the coordinate plane. The sum of these is (3.16 +5.10) = 8.26 coordinate plane units. Since each unit on the coordinate plane represents 10 m, the total path length is about ...
8.26(10 m) = 82.6 m ≈ 83 m
_____
The distance formula will tell you the distances are ...
AC = √(3² +1²) = √10
BD = √(5² +1²) = √26
The total path length is about (10 m)(√10 +√26) ≈ 82.61230 m ≈ 83 m.
