Solving
we get, 
Step-by-step explanation:
We need to solve: 
Solving:

Adding -ln(2) on both sides:


Using logarithmic rule: if 
So,

Simplifying:

So, Solving
we get, 
Keywords: Logarithms
Learn more about Logarithms at:
#learnwithBrainly
I believe you need to solve this using the quadratic formula!
To begin, this is what it is:
x= -b ± <span>√ b^2 - 4ac / 2a
Just plug in what you have in your problem...
2 being a, 13 being b, and -24 being c.
So we get:
x= -13 </span>± <span>√13^2 - 4(2)(-24) / 2(2)
x= -13 </span><span>± √169 - 8 (-24) / 4</span>
<span>x= -13 <span>± √169 + 192 / 4</span>
x= -13 </span>± √<span>361 / 4
The square root of 361 is 19.
So you have: -13 </span><span>± 19 / 4.
Here's where you take the equation </span>-13 <span>± 19 and put the addition and subtraction sign to use.
-13 - 19 = -32
and
-13 + 19 = 6
Now all is left to do is divide the two numbers by 4.
-32/4 = -8
and
6/4 = 3/2
x = -8, 3/2</span>
Answer:
(D)9 divided by sin 60 degrees
Step-by-step explanation:
From the given figure, using trigonometry

Substituting the given values, we get





Thus, The length of the support AB is 9 divided by sin 60 degrees.
-3x + 18 = 7x
3x + (-3x) + 18= 7x + 3x
18 = 10x
18 10x
— = —
10 10
1.8 = x
Answer:
1 : 3000
Step-by-step explanation:
Given that:
Scale measurement as following:
4 centimeters are equal to 120 meters.
To find:
The scale factor = ?
Solution:
First of all, let us learn about the definition of scale factor.
Scale factor means 1 unit on scale is equal to what length of actual measurement.
We are given that 4 cm on scale is equal to 120 meters of actual length.
We need to find nothing but how much 1 cm of scale is equal to actual length.
4 cm of scale = 120 meters or 12000 cm of actual length
Dividing by 4 on both sides, we get:
= 1 cm of scale =
= 3000 cm of actual length
Therefore, the scale factor is <em>1 : 3000</em>