Answer:
Length of AB = 4.4721
Equation of line BC: y = -2x + 6
Step-by-step explanation:
To find the length of the line AB, we just need to find the distance between the points A and B.
We can find distance with the equation:



To find the equation of the line BC, first let's find the slope of the line AB.
This slope is given by:


The line AB is perpendicular to the line BC (because mB = 90°), so the slope of line BC is:

so the line BC is:

To find the value of b, we can use the point B (1,4):


So we have:

Rewrite
log
(
2
x
)
=
4
log2x=4 in exponential form using the definition of a logarithm. If
x
x and
b
b are positive real numbers and
b
b
≠
≠
1
1, then
log
b
(
x
)
=
y
logbx=y is equivalent to
b
y
=
x
by=x.
10
4
=
2
x
f(x) = 7x + 13
f(-3) = 7(-3) + 13
f(-3) = -21 + 13
f(-3) = -8
Answer: 3
Step-by-step explanation: