5 x (-6 x 8) = 5 (-6)) x 8 what property is this? ^^ kinda confused..

Log2(3x-1) = log2 (x+8)

Keith_Richards [23]

Answer:

X= 9/2

Alternative form

x=4 1/2, x=4.5

Step-by-step explanation:

*= Multiply

1. log (little 10 under) (2)*(3x-1)= log (little 10 under) (2)*(x+8)

2. then divide both side by log (little 10 under (2))

3. 3x-1=x+8

4. move variable to the left side and change its sign

5. 3x-x-1=8

6. then move constant to the right side and change its sign

7. 3x-x=8+1

8. collect like terms

9. 2x=8+1

10. add 8+1

11. 2x=9

12. then divide both sides by 2

13. 2/2 9/2

14. 2/2 cancels out so x=9/2 is the answer

4 0

3 years ago

Read 2 more answers

The master roofer wants to put the ladder on the side of the house but she doesn't

Alex

Answer: About 84.261 degrees

Step-by-step explanation:

To find the angle of elevation, we can create a triangle and solve for the angle.

First, we can imagine a triangle with side A being the ground between the base of the ladder and the wall, side B being the wall (from the base of the wall to where it touches the top of the ladder), and side C being the ladder (from where it touches the ground to where it touches the wall).

In the problem, it has already given us two of the side lengths we need to solve for the angle of elevation:

1. We know that the ladder is 10 feet tall, so we can say that side C is 10.

2. We know that the ladder base is placed 1 foot from the wall, so we can say that side A is 1.

The angle of elevation is the angle that the ladder is tilted from the ground, or the angle between the ground (side A) and the ladder (side C). These sides relative to the angle would be the adjacent (side A) and the hypotenuse (side C).

To calculate for the angle, we can use the cosine function. (cos = adjacent / hypotenuse)

To find the angle of elevation (which we can call angle b), we can use:

cos(b) = A / C

arccos(A / C) = b

(Note: arccos is the inverse of the cos function)

Then, we can plug in the values and get:

b = arccos(1 / 10)

b = 1.471 radians OR 84.261 degrees

5 0

3 years ago

If x = 4 tan(θ), find sec(θ) in terms of x

prisoha [69]

Answer:

$\sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4}$

Step-by-step explanation:

$\because \: x = 4 \tan \theta \\ \therefore\frac{x}{4} = \tan \theta....(1) \\ \\ \because \: { \sec}^{2} \theta = 1 + { \tan}^{2} \theta \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \tan}^{2} \theta } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \bigg( \frac{x}{4} \bigg)}^{2} } \\ \therefore \: \sec \theta = \pm\sqrt{1 + { \frac{x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm\sqrt{{ \frac{16 + x^{2}}{16} } } \\ \therefore \: \sec \theta = \pm \frac{ \sqrt{ {x}^{2} + 16} }{4}$

3 0

3 years ago

Kim is 15. Kim’s father is 39. In how many years will Kim’s father be exactly twice as old as Kim will be?

Pani-rosa [81]

In nine years, when Kim is 24 and her father is 48, he will be exactly twice as old as Kim

5 0

4 years ago

Read 2 more answers

What is 1/4 of 10 explain

kari74 [83]

Too many points for such a simple explanation :)) Whatever:
To get 1/4 of a number you multiply the number by 1/4. Same for any non-percent number. If the number is a percent, say, 23,5%, you first divide it by 100 to get a non-percent, then do the same, that is, multiply it by the number.
Our result is $\frac{1}4*10=\frac{10}4=\frac{5}2=2\frac{1}2=2.5$

4 0

3 years ago