We try to represent each number inside the square root as a product of a square and another number.
a) 7√32 - 5√2 + √8
√32 = √(16 *2) = √16 * √2 = 4* √2 = 4√2
√8 = √(4 *2) = √4 * √2 = 2* √2 = 2√2
7√32 - 5√2 + √8 = 7*(4√2) - 5√2 + 2√2 =
= 28√2 - 5√2 + 2√2 Factorize out √2
= (28 - 5 + 2)√2
= 25√2
b) 2√150 - 4√54 + 6√24
√150 = √(25 * 6) = √25 * √6 = 5*√6 = 5√6
√54 = √(9 * 6) = √9 * √6 = 3*√6 = 3√6
√24 = √(4 * 6) = √4 * √6 = 2*√6 = 2√6
2√150 - 4√54 + 6√24 = 2*(5√6) - 4*(3√6) + 6*(2√6)
= 2*5√6 - 4*3√6 + 6*2√6
= 10√6 - 12√6 + 12√6 Factorize √6
= (10 - 12 + 12)√6
= 10√6
He planted 92 of those because 12 times 6 is 72 and 72 plus 20 is 92 therefore the answer is 92
Answer:
12.7 inches
Step-by-step explanation:
you need to multiply 2.54*5
and your final answer is 12.7 in
Multiply the first equation by 2
4x-6y=16
Then add the equations to eliminate x
4x-6y=16
-4x+5y=-10
-y=6
y-=6
Plug the y value in
2x-3(-6)=8
2x+18=8
2x=-10
x=-5
Final answer: (-5,-6)
From the options given, Dustin's hopscotch path was the longest in comparison to the other two friends.
<h3>How to find out who had the longest path?</h3>
- Make sure all distances use the same units.
- If necessary convert the distances.
- Compare the distances.
Based on this, let's make sure all distances are in feet.
- Jasmin: 1100 in or 91.66 feet
- Each inch is equivalent to 0.0833
- Dustin: 32 yards or 96 feet
- 1 yard = 3 feet
- 32 x 2 = 96 feet
Based on this, the person with the longest path is Dustin.
Learn more about distances in: brainly.com/question/15172156
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