You have to create and equivalent EXPRESSION in the equation that have equal bases then solve for x
SO THE ANSWER IS 12<span />
Answer:
2√5
Step-by-step explanation:
Using the formula for calculating resultant
R = √Fx + Fy
\sum Fx = -2sin 45 + 4 cos 45
\sum Fx = 2cos45
\sum Fx = 2(1/√2)
\sum Fx = 2/√2
Similarly;
\sum Fy = 2 cos 45 + 4 sin45
\sum Fx = 2(1/√2) + 4(1/√2)
\sum Fx = 6/√2
Magnitude = √(2/√2)²+6/√2)²
Magnitude = √4/2 + 36/2
Magnitude = √2+18
Magnitude = √20
Magnitude = 2√5
Hence the magnitude of their sum is 2√5
Your answer is B.
Just take what is being multiplied by (10x-7) and put it together to get
(x+11)(10x-7)
Hope this helps :-)
30=8+4(z-2)
Distribute 4 through the parentheses
30=8+4z-8
Eliminate the opposites
30=4z
Swap the sides of the equation
4z=30
Divide both sides of the equation by 4
4z÷4=30÷4
Any expression divided by itself equals 1
z=30÷4
or write the division as a fraction
z=30/4
copy the numerator and denominator of the fraction
30=2x3x5
4=2x2
Write the prime factorization of 30
Write the prime factorization of 4
30=2 x3x5
4=2x2
2
Line up the common factors in both lists
Copy the common factors
Since there is only one common factor, the common factor 2 is also the greatest common factor
30÷2/4÷2
2
Divide 30 and 4 by the greatest common factor 2
15/4÷2
Divide the numbers in the numerator
15/2
Divide the numbers in the denominator
15/2
The simplified expression is 15/2
That's it. hope it wasn't too hard to understand?
5/6 of an hour is 50 Minutes
3/4 of an hour is 45 Minutes