Answer:
y =
x + 7
Step-by-step explanation:
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
y - 8 = -
(x + 5) ← is in point- slope form
with m = - 
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= 
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept ) , then
y =
x + c ← is the partial equation
to find c substitute (- 6, - 2 ) into the partial equation
- 2 = - 9 + c ⇒ c = - 2 + 9 = 7
y =
x + 7 ← equation of line K
Given function is

now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into

so RHD= 
Now set both equal





k=-0.47
<u>Hence final answer is -0.47.</u>
Answer:
=
−
0
.
8
Step-by-step explanation:
The answers are 84100 and 97400
Answer:
Step-by-step explanation:
the domain for (2x-1)/(x^2-7) is x not equal to +/- sqrt(7)