Answer:
Final answer is 
Step-by-step explanation:
We need to find the equation of the line that is parallel to x=6y-5 and that passes through (5,-3).
So first we need to find the slope of given line.
rewirite x=6y-5 in y=mx+b form
x+5=6y

Compare given equation with y=mx+b
we get: m=1/6
We know that parallel equations has equal slope.
Then slope of required line m=1/6
Now plug the given point (5,-3) and slope m=1/6 into point slope formula:





Now we need to rewrite that equation in standard form. Ax+By=C.
6y=x-23
x-23=6y
x-6y=23
Hence final answer is 
Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,

So, the base of the ladder is 2.58 m.
Using an exponential function, it is found that the number 131.5 represents the initial value of the plane, in thousands of dollars.
<h3>Exponential function:</h3>
A decaying exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, the function for the value of the airplane after t years is given by:

Hence A(0) = 131.5, which means that the number 131.5 represents the initial value of the plane, in thousands of dollars.
To learn more about exponential functions, you can take a look at brainly.com/question/8935549
((n-2)×180)/n = 156
(n-2)×180=156n
24n =360
n =15
360/n =36
n = 10
a)15 b)10
Answer:
Triangle ABCABCA, B, C the option C is correct.
Step-by-step explanation:
As in the triangle ABCABCA, B, C
the given Choice A is DEFDEFD, E, F, and Choice B is GHIGHIG, H, I is in the same sequence as ABCABCA, B, C so option C is correct.