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frozen [14]
3 years ago
12

When writing the name of a ray, the initial point is always written first.

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0
Ok... So what is the question?
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The solution to the equation log2x + log2(x – 6) = 4 is x =
GenaCL600 [577]

Answer:

Value of x=8

Step-by-step explanation:

Given : log_2x+log_2(x-6)=4          

To find : The solution to the equation given

Solution :

Step 1- Write the given expression

log_2x+log_2(x-6)=4  

Step 2 - Using logarithmic laws

log_{b}x+log_by=log_bxy

log_2(x)(x-6)=4  

Step 3 - To remove log-base 2, we need to raise the left and right hand terms to power 2.

(x)(x-6)=2^4  

x^2-6x-16=0  

Step 4 - Solve the quadratic equation

x^2-8x+2x-16=0  

x(x-8)+2(x-8)=0  

(x-8)(x+2)=0  

Either x=8 or x=-2

We neglect x=-2 because negative value is not defined in log.

Value of x=8

6 0
4 years ago
Read 2 more answers
During the winter of 2012-2013, Buffalo, New York received 22 inches of snow in 12 hours. Oswego, New York received 31 inches of
Igoryamba

Answer:

During the winter of 2012-2013, Buffalo, New York received 22 inches of snow in 12 hours. Oswego, New York received 31 inches of snow over a 15-hour period. What was Oswego’s snowfall rate ? Round your answer to the nearest hu

8 0
3 years ago
Calculate the area of triangle ABC with altitude BD, given A (−6, 0), B (0, 0), C (0, 6), and D (−3, 3).
nata0808 [166]

Answer:

  • 18 unit²

Step-by-step explanation:

If BD is altitude then AC is the base.

<u>The length of AC is:</u>

  • AC = \sqrt{6^2+6^2} = 6\sqrt{2}

<u>The length of BD is:</u>

  • BD = \sqrt{3^2 + 3^2} = 3\sqrt{2}

<u>The area is:</u>

  • A = 1/2bh
  • A = 1/2 * 6\sqrt{2} *3\sqrt{2} = 18 unit²
4 0
3 years ago
Read 2 more answers
(07.05)<br> Graph the first six terms of a sequence where a = -10 and d = 3.
butalik [34]

Answer:

15

Step-by-step explanation:

Using the formular, Sn = n/2(2a + (n - 1)d)

where, n = 6: Sn = 6/2( -20 + 5(3)) = 3(15 - 20)

∴  Sn = 15

7 0
3 years ago
Round 0.05 to the nearest whole number
Korvikt [17]
0.05 rounded to the nearest whole number is 0~
6 0
3 years ago
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