Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Step-by-step explanation:
The equation 
can be solved by squaring both sides:
We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:
The square root of 49 equals 7, but the square root of -1 is an imaginary number.
The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
12 hours (5880 divided by 490)
The formula is V=Bh
You'd get the base (it's a circle so you'd have to do A=pie*radius square)
Once you find the base, you mutliply it by the height
Answer: Choice A) 15 feet
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x = length of fourth side in quadrilateral ABCD
Have a look at the attached image I've posted. I made a chart that lines up the side lengths from largest to smallest. Note how the first two items in the bottom row are blank. We don't know these values and we don't need to find out in order to find x.
Based on the last two columns of that table, we can form the proportion below, which is then used to isolate x.
30/12 = x/6
30*6 = 12*x ... cross multiply
180 = 12*x
12*x = 180
x = 180/12 ... divide both sides by 12
x = 15
Answer:
<u>Usain Bolt's average speed in yards per second was 11.4</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
World record of Usain Bolt = 9.589 seconds
Distance of the world record = 100 meters
1 yard = 0.9144 meters ⇒ 100 meters = 109.36 yards
2. What was Usain Bolt's average speed in yards per second?
Let's recall that the formula of speed is:
Speed = Distance/Time
Replacing with the values we know:
Usain Bolt's Speed = 109.36/9.589
<u>Usain Bolt's Speed = 11.4 yards per second (Rounding to one decimal place)</u>
