First step: x= ± √ 121
Second step and correct answer: x= ± 11
Because: x^2 = x= ± √
They are not equivalent because 2/5 is equal to .4.
The bus is traveling at 6.4 miles per hour. The appointment was 1 hour long so he gets out at 5:30. From 5:30 to 6:30 is one hour, and at that speed, the bus could go 6.4 miles within that timeframe. So yes, he has time because 6.4 is greater than 4.8.
Answer:
Eight pieces
Step-by-step explanation:
Create a number line running from 0 to 4/6.
Label the divisions as 1/6, 2/6, 3/6, and 4/6.
Divide each section in half to get small pieces of length 1/12.
Starting at zero, move to 4/6 on the number line and count the number of pieces as you go.
You count eight pieces, so Dario has eight pieces of rope.
Answer:
x = -1.
Step-by-step explanation:
√(x + 10) - 4 = x
√(x + 10) = x + 4
Squaring both sides:
x + 10 = x^2 + 8x + 16
x^2 + 8x - x + 6 = 0
x^2 + 7x + 6 = 0
(x + 6)(x + 1) = 0
<u>x = -6, -1.</u>
Check for any extraneous roots:
√(x + 10) - 4 = x
<u>Try x = -6:</u>
√(-6 + 10) - 4 = 2 - 4 = -2.
but we found x = -6 , so -6 is not a root.
<u>Try x = -1</u>:
√(-1 + 10) - 4 = 3 - 4 = -1. So x = -1 is a root.
