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aliya0001 [1]
3 years ago
6

What is the center of the circle that has a diameter whose endpoints are (2, 7) and (-6, -1)?

Mathematics
1 answer:
Goshia [24]3 years ago
3 0
I believe your answer is (-2,4)
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Solve <br>In 2x + In 2=0​
irakobra [83]

Solving  ln(2x)+ln(2)=0 we get, x=\frac{1}{4}

Step-by-step explanation:

We need to solve: ln(2x)+ln(2)=0

Solving:

ln(2x)+ln(2)=0

Adding -ln(2) on both sides:

ln(2x)+ln(2)-ln(2)=0-ln(2)

ln(2x)=-ln(2)

Using logarithmic rule: if log_a b =c\,\,then\,\, b=a^c

So,

2x=e^{-ln(2)}

Simplifying:

2x=(e^{ln(2)})^{-1}\\e^{ln(2)}=2\\2x=(2)^{-1}\\2x=\frac{1}{2} \\x=\frac{1}{2x2}\\x=\frac{1}{4}

So, Solving  ln(2x)+ln(2)=0 we get, x=\frac{1}{4}

Keywords: Logarithms

Learn more about Logarithms at:

  • brainly.com/question/11921476
  • brainly.com/question/10633485
  • brainly.com/question/5758530

#learnwithBrainly

4 0
3 years ago
Solve for x<br> Urgent need help
fiasKO [112]
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>
6 0
3 years ago
The picture shows a barn door:
Hitman42 [59]

Answer:

(D)9 divided by sin 60 degrees

Step-by-step explanation:

From the given figure, using trigonometry

\frac{BC}{AB}=sin60^{{\circ}}

Substituting the given values, we get

\frac{9}{AB}=sin60^{{\circ}}

\frac{9}{sin60^{\circ}}=AB

AB=\frac{9{\times}2}{\sqrt{3}}

AB=\frac{18}{\sqrt{3}}

AB=10.4 feet

Thus, The length of the support AB is 9 divided by sin 60 degrees.

5 0
3 years ago
Read 2 more answers
Follow the steps to finish solving the equation –3x + 18 = 7x.
marta [7]
-3x + 18 = 7x
3x + (-3x) + 18= 7x + 3x
18 = 10x

18 10x
— = —
10 10


1.8 = x
4 0
2 years ago
Use the provided ruler to find the scale and the scale factor of the drawing. The scale measures 4 centimeters equal to 120 mete
PtichkaEL [24]

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:

\frac{4}{4} = 1 cm of scale = \frac{12000}{4} = 3000 cm of actual length

Therefore, the scale factor is <em>1 : 3000</em>

5 0
2 years ago
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