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
Answer:
21,7 - yes
28,3 - no
17,3 - no
20,4 - yes
55,5 - yes
15,5 - yes
26,4 - no
32,8 - yes
48,7 no
60,2 - yes
79,4 - no
81,3 - yes
Step-by-step explanation:
hope that helps
Answer:
2x - 6 = 4
Step-by-step explanation:
Firstly, let's assume the number is x
Then, twice the number is 2 times x = 2x
6 less than twice the number is four
2x - 6 = 4
2x - 6 + 6 = 4 + 6
2x = 10
2x/2 = 10/2
x = 5
Answer:
12
Step-by-step explanation:
by Pythagoras theorem,
P²+B² =H²
5²+B²=13²
B²= 13²-5²
B²= 169-25
B²= 144
B=√144
B= 12
Answer:
The correct option is C: I = 10⁸I₀.
Step-by-step explanation:
The function of the Richter scale is:
Since the magnitude of the earthquake is 8.0, the relation between the intensity, I, with the intensity of the threshold quake, Io, is:
Therefore, the correct option is C: I = 10⁸I₀.
I hope it helps you!
