First you distribute what’s outside the parentheses (the -4)
-4•4= -4y
-4•-2= 8
New equation: -4y+8=12
Now you solve like a normal equation
12-8 is 4
New equation: -4y=4
Now divide
Answer:-1
Answer: Kate = 40/3 Her father = 50
Step-by-step explanation:
Let Kate's age in the present be K
And Kate's father's age in the present be F
3(K+5) = F+5
6(K-6) = F-6
Rearrange the first equation to get
3K+15 = F+5
3K+10 = F
Substitute that into the second question
6K-36 = 3K+10-6
3K = 40
K = 40/3
So F = 3*40/3+10 = 50
Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
The next three terms are: 1/6 , 0 and -1/6
Step-by-step explanation:
Given sequence is:
First of all, we have to find the common difference
The common difference is -1/6
We can simply add -1/6 to the previous term to find the next terms so,
Adding -1/6 to 1/3
Hence,
The next three terms are: 1/6 , 0 and -1/6
Keywords: Arithmetic sequence, common difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
Answer:
x = 17.74 cm
Step-by-step explanation:
tan 29 = x/32
0.5543 = x/32
x = 17.74 cm
