The change of base formula looks like this:
log x
(log to the base b of ) x = ----------- (you could also use ln instead of log)
log b
log 40 1.602
Then (log to the base 7 of) 40 = ------------ = ------------- = 1.896 (answer)
log 7 0.8451
check (on calculator): 7^1.896 = 40.023 (close enough to 40 to verify
that this method "worked")
Answer:
Hypotenuse-Leg Theorem (HL)
Step-by-step explanation:
The HL theorem states that two right triangles are congruent if their hypotenuses are the same length and one leg is the same length. Since the diagram shows this, you can say these triangles through the HL theorem.
Answer:
Exactly one
Step-by-step explanation:
Answer:
y-3 = 4/7(x-7)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1)
We know the slope (4/7)
and a point (7,3)
Lets substitute into the equation
y-3 = 4/7(x-7)
Factor the denominator:
(3x-1)(x+2)
every time x=-2 (because of (x+2), it would cause a warp in the graph, and not have an input. that is the vertical asymptote.
since you have factor 3x-1 on top and bottom, in which the zero is 1/3, there would be no solution at x=1/3. it would be a hole.
the answer here is C.
