<u>Answer:</u>
3 + √5
<u>Step-by-step explanation:</u>
Find the square root of 14+6√5
Change to √ ( 14 + 6√5 ) = √x + √y
1️⃣ Square.
<em>14 + 6√5 = x + y + 2√xy</em>
<em>14 + 2√45 = ( x + y) + 2√xy</em>
2️⃣ Compare.
<em>(x + y) = 14</em>
<em>xy = 45</em>
3️⃣ Solve.
<em>(x - y)² = (x+y)² - 4xy</em>
<em>( x - y)² = 14² - 180</em>
<em>( x - y)² = 196 - 180</em>
<em>( x - y)² = 16</em>
<em>( x - y) = 4</em>
<em />
<em>x + y = 14</em>
<em>x - y = 4</em>
<em />
<em>2x = 18</em>
<em>x = 9 .</em>
<em />
<em>y = 5 .</em>
<em />
<em>14 + 6√5 = √9 + √5 = 3 + √5 .</em>
Answer: 3 + √5 .
Done ✔
Answer:
20 m/hr
Step-by-step explanation:
distance / rate = time
24 miles / 9 miles/hr = 2 2/3 hr
(24 + 20 miles) / 12 miles/hr = 3 2/3 hr
3 2/3 - 2 2/3 = 1 hour to ride the next 20 miles means 20 m/hr
Answer:
I think its -48
Step-by-step explanation:
First, we want to convert 700 feet to inches:700 feet (12 inches/ft) = 8400 inchesWe know that the diameter is 16 inches, so the circumference is 16π inches or 50.3 inches.We can divide 8400/50.3 to get about 167.1 rotations.
Answer:
50/50
Step-by-step explanation:
