Answer:
The simplest radical form is ⇒ (c)
Step-by-step explanation:
To simplify any square root;
- Factorize the number under the root using prime numbers
- Take out the root any number repeated twice as one number
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<em><u>Examples:</u></em>
1. Simplify
factorize 8 using prime numbers
8 = 2 × 2 × 2, then
Take two of 2 out the root, then
2. Simplify
factorize 18 using prime numbers
18 = 2 × 3 × 3, then
Take the two 3 out the root, then
Let us simplify
∵ 45 = 3 × 3 × 5
∴
→ Take the two 3 out by one 3
∴
→ Multiply the numbers out the root
∴
∴ The simplest radical form is
It could've been a PENTAGON and a SQUARE.
It could've been a HEXAGON and a TRIANGLE.
<span>1st train DATA:
rate = 50 mph ; time = x hrs ; distance = rt = 50x miles
2nd train DATA:
rate = 55 mph ; time = (x-(1/2)) hrs ; distance = rt = 55(x-(1/2)) miles
Equation:
distance = distance
50x = 55(x-(1/2)
50x = 55x - (55/2)
-5x = -55/2
x = 11/2
x = 5 1/2 hrs (time at which the 2nd train overtakes the 1st train)
Hope this helps!</span>
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Answer:
scale factor =
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original.
scale factor = = =