Answer: all points
that satisfy
Step-by-step explanation:
The slope of the line is

So, substituting into point-slope form, the equation is

Therefore, all points
that satisfy
will lie on the same line.
Answer:
log_4(256)=4
log_4(1/1024)=-5
log_4(16)=2
log_4(1/256)=-4
Step-by-step explanation:
We want to write a number, x, such that
Log_4(y)=x.
In exponential form that is 4^x=y.
So first number is x=4.
4^4=256 which means log_4(256) is 4 as a logarithm with base 4.
The second number is x=-5.
4^-5=1/4^5=1/1024 which means log_4(1/1024) is -5 as a logarithm with base 4.
The third number is x=2.
4^2=16 so log_4(16) is 2 as a logarithm with base 4.
The fourth number is x=-4.
Since 4^4=256 then 4^-4=1/256 which means -4 as a logarithm with base 4 is log_4(1/256).
Answer: (5/3, -13/3)
Step-by-step explanation:
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<u>Solution</u><u>:</u></h2>
We all know that,
- All animals have 2 eyes.
- All cows have 4 feet
- All hens have 2 feet
So, Let the no. of cows be x and chickens be y
According to question,
- Total number of eyes = 162
Framing equation,
⇛ Eyes of cows + Eyes of chickens = 162
⇛ 2x + 2y = 162
⇛ 2(x + y) = 162
⇛ x + y = 162/2 = 81 -----------(1)
According to question(Cond.-1)
- Total number of feet = 270
Framing equation,
⇛ Feet of cows + Feet of chickens = 270
⇛ 4x + 2y = 270
⇛ 2(2x + y) = 270
⇛ 2x + y = 135 ----------(2)
Subtracting eq.(1) from eq.(2),
⇛ 2x + y - (x + y) = 135 - 81
⇛ 2x + y - x - y = 54
⇛ x = 54
Putting value of x in eq.(1),
⇛ 54 + y = 81
⇛ y = 81 - 54
⇛ y = 27
⚘ So, Total number of animals,
- Number of cows = x = 54
- Number of chickens = y = 27
Hence, solved !
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