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Y_Kistochka [10]
3 years ago
13

[HELP PLEASE] 12, 13, 14the last answer on 14 is log2 z over 11

Mathematics
1 answer:
skad [1K]3 years ago
4 0

(12)

we are given

log_2(9x)

we can also write it as

log_2(9x)=log_2(9*x)

now, we can use property of log

log_2(9x)=log_2(9)+log_2(x)...........Answer

(13)

log_3(\frac{x^4y^8}{2} )

we can use property of log

log(\frac{a}{b})=log(a)-log(b)

log_3(\frac{x^4y^8}{2} )=log_3(x^4y^8)-log_3(2)

we can use property of log

log(a*b)=log(a)+log(b)

log_3(\frac{x^4y^8}{2} )=log_3(x^4)+log_3(y^8)-log_3(2)

log(a^n)=n*log(a)

log_3(\frac{x^4y^8}{2} )=4log_3(x)+8log_3(y)-log_3(2)...........Answer

(14)

log_2(11)-log_2(z)

we can use property of log

log(\frac{a}{b})=log(a)-log(b)

we get

log_2(11)-log_2(z)=log_2(\frac{11}{z}).............Answer

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In one week, Callum collected 1246 rocks from the seashore. Every day, he collected the same number of rocks. In a single day, h
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Answer:

178

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Find the angle that the line through the given pair of points makes with the positive direction of the x-axis
alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and  

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1

Also Slope of line when angle ' θ  ' is given as

Slope=\tan \theta

Substituting Slope = 1 we get

1=\tan \theta

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We Know That for angle 45°,

tan 45 = 1

Therefore

\theta=45\°

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

5 0
3 years ago
Hey guys please help me on this I will give you brainliest
dangina [55]

Answer:

1. 15-5x 2. 54+18x 3. 3x+15 4. 28x+56

Step-by-step explanation:

I dont get  if you need this or the real answer if you need the real answer let me know and I will give you the real answer. :) Have a good day!

6 0
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Solve the equation.<br><br> 2 ( 4z - 1) = 3(z+2)<br><br> Z=
sveta [45]

Answer:

z = \frac{8}{5}

Step-by-step explanation:

Calculate for the value of z :

2(4z - 1) = 3(z + 2)

-Use <u>Distributive Property</u> on both left and right:

2(4z - 1) = 3(z + 2)

8z - 2 = 3z + 6

-Take 3z and subtract 8z :

8z - 3z - 2 = 3z - 3z + 6

5z - 2 = 6

-Add 2 to both sides:

5z - 2 + 2 = 6 + 2

5z = 8

-Take 5z and divide on both sides:

\frac{5z}{5} = \frac{8}{5}

z = \frac{8}{5}

Therefore, the value of z is \frac{8}{5}.

4 0
3 years ago
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