hello
the points given are (-4, 47) and (2, -16)
let's find the intercept of this equation
now, since we know the value of the slope, we can use that in the standard equation on a straight line
the standard equation of a straight line is given as
we can pick any of the points and solve for intercept
let's use (2, -16)
now we know the value of intercept (c) = 5 and the slope (m) = 21/2
let's use this to write equation of the straight line
from the calculations above, the equation of the straight line is given as y = -21/2x + 5
Answer:
30.4m
Step-by-step explanation:
Diameter(D) = 2r (radius)
D = 9.7m
r = 9.7m / 2
= 4.85m
C = 2πr
= 2π × 4.85m
= 30.47344873982099m
rounding - Leave it as is if the digit in the tenth is 4 or lower
- round it up if it's 5 or higher.
~~ 30.4m
Answer:
m= -7
Step-by-step explanation:
using the slope formula, plug in the variables and solve
m=rise/run
m=y2-y1 / x2-x1
(x1, y1) = coordinates of first point in the line
(x2, y2) = coordinates of second point in the line
<h2>Hello!</h2>
The answer is:
The domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
<h2>Why?</h2>
This is a composite function problem. To solve it, we need to remember how to composite a function. Composing a function consists of evaluating a function into another function.
Composite function is equal to:
So, the given functions are:
Then, composing the functions, we have:
Therefore, we must remember that the domain are all those possible inputs where the function can exists, most of the functions can exists along the real numbers with no rectrictions, however, for this case, there is a restriction that must be applied to the resultant composite function.
If we evaluate "x" equal to 13, the denominator will tend to 0, and create an indetermination since there is no result in the real numbers for a real number divided by 0.
So, the domain of the function is all the real numbers except the number 13:
Domain: (-∞,13)∪(13,∞)
Have a nice day!
Answer:
(x, y) =(-1, - 1)
Step-by-step explanation:
-Substitute the value of x
-solve the equation
-Substitute the value of y
-check the possible solution
-check solution
-simplify
