Help on a question geometry

Answers

Answer 1

Answer: 2log 3 = log 3^2 = log 9 ;
log 5 + 2log 3 = log 5 + log 9 = log( 5 * 9 ) = log 45 ;
log ( x - 12 ) = log 45;
x - 12 = 45 ;
x = 12 + 45 ;
x = 57 ;
But, x - 12 > 0;
And, 57 - 12 > 0 ;
The solution is 57 .

Answer 2

Answer: $D:x-12>0\nD:x>12\n\log_3(x-12)=\log_35+2\log_33\n\log_3(x-12)=\log_35+\log_33^2\n\log_3(x-12)=\log_35+\log_39\n\log_3(x-12)=\log_3(9\cdot5)\n\log_3(x-12)=\log_345\nx-12=45\n\boxed{x=57}$

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(x - 5)2 = 25Solution steps:
Add 5 to both sides
Multiply both sides by 5
Square both sides
Take the square root of both sides

Answers

Here is your answer

x = 17.5

Make as brainliest plzz....

Hope this answer is helpful....

An airplane over the Pacific Ocean sights an atoll at an 7° angle of depression. If the plane is 663 m above the water, how many kilometers is it from a point 663 m directly above the atoll?(Hint: Make sure your calculator is in degrees!)A. 5399.7 km
B. 5.4 km
C. 81.41 km
D. 760.8 km

Answers

You need to draw the diagram to understand the problem easily. Teh diagram will show the right triangle, acute angle with the base 7º, height is 663 m, and "x" is the base of the triangle.

using the tangent ratio:

tanΘ = opposite / adjacent

tan7º = 663 m / x

x = 663 m / tan7º
x = 5,399.7 m

change m to km. 1,000 m = 1km

5,399.7m * 1km/1,000 m = 5,399.7 km/1000 = 5.3997 km or 5.4 km

B. 5.4 km

Which of the following represents the sample space for flipping two coins?A
{HH, TT}

B
{H, T}

C
{HH, HT, TH, TT}

D
{HH, HT, TT}

Answers

C. { HH, HT , TH, TT}

Step-by-step explanation:

Sample Space of any event E is the set of all possible outcomes whenever that event takes place.

Here, event E : Tossing 2 coins

Now, as we know, when an unbiased coin is tossed,

The total outcomes = {Head, Tail}

So, when two coins are flipped, the total outcomes are 2 x 2 = 4.

Sample space = { Head Head, Head Tail, Tail Head, Tail Tail}

or, S = { HH, HT , TH, TT}

AB passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to AB ?A.
5x − 3y = 0
B.
-x + 3y = 0
C.
-5x − 3y = 0
D.
3x + 5y = 0
E.
-3x + 5y = 0

Answers

Answer:

3y + 5x = 0

Step-by-step explanation:

The slope of the line = (y2-y1) / (x2-x1) = (5-0)/(-6-(-3))

= 5 / -3 = -5/3

Using the point-slope form , the line that passes through the origin and parallel to this line is

y - 0 = -5/3(x - 0)

y = -5/3 x

Multiply through by 3:-

3y = -5x

5x + 3y = 0

What is 621 divided by 7

Answers

most likely you would be able to put this in a calculator but the answer to: 621/7 is 88.7. Hope it helps!

What is the slope of the line that contains the points (5, 5) and (8, 3)?
a. b.
c. d.

Answers

slope=rise/run
changy/changx
slope=(y2-y1)/(x2-x1)

(5,5) and (8,3)
slope=(3-5)/(8-5)=-2/3

slope=-2/3