Answer:
y + 1 = 9 (x + 5)
Step-by-step explanation:
point slope form is
y - y1 = m (x - x1)
replace the y1 with the y point, the x with the x point, and m with the slope
y - (-1) = 9 (x - (-5) )
now simplify
y + 1 = 9 (x + 5)
if you need slope intercept, just simplify more
distribute the 9 to the x and 5
y + 1 = 9x + 45
and subtract the 1 from both sides
y = 9x + 44
Answer:
f (
x
) −
1 =
(
1/
4 x
) −
2.
Step-by-step explanation:
For inverse function, the x and y interchanges and then make y the subject again of the equation. See the working out below:
f (
x
) = 4
x + 8
f (
x
) = y
y = 4
x + 8
x = 4
y +
8 ----- interchanging y and x
Now make y the subject of the equation:
x = 4
y + 8
−
4
y = -
x + 8
y = (
−
1/
4 )
. − x
+ (
−
1/
4 ) .8
y = (
1/
4 x
) −
2
So the inverse function is:
f (x) −
1 = (
1/
4 x
) −
2
Answer:
that is the solution to the question
Answer:
x = 10.0
Step-by-step explanation:
Using the geometric mean formula:
x projection
----------------- = ---------------
entire base x
Here, the projection is 5 and the entire base is (20 + 5). So:
x 5
------------ = ------------
25 x
Cross multiply:
x² = 25 (5)
x² = 100
√x² = √100
x = 10