The y intercept of this function is always (0, a).
This is because when we place 0 in for x (which is the only way it'll be on the y-axis, we get 'a' as a result. This is because of the rule that raising anything to the 0th power will result in the number 1 and multiplying anything by 1 gives us the same number. See the work below for the example.
F(x) = a*b^x
F(0) = a*b^0
F(0) = a*1
F(0) = a
And for an example with a random number, we'll use a = 5 and b = 3
F(x) = 5*3^x
F(0) = 5*3^0
F(0) = 5*1
F(0) = 5
No matter what a and b equal, the intercept will be the a value.
Answer:
the y -intercpt is the 3
the slope is -3/4
Step-by-step explanation:
this is because the 3 is the starting point on the y-axis and the slope is -3/4 because you are going down 3 to the right 4 ---hope this helps
Answer: BC = 16√2 ft
Step-by-step explanation:
Triangle ABC is a right angle triangle. From the given right angle triangle, BC represents the hypotenuse of the right angle triangle.
With m∠W as the reference angle,
AB represents the adjacent side of the right angle triangle.
AC represents the opposite side of the right angle triangle.
To determine the length of BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 45 = 16/BC
√2/2 = 16/BC
BC = 16/(√2/2) = 16 × 2/√2
BC = 32/√2
Rationalizing the denominator, it becomes
BC = 32/√2 × √2/√2
BC = 32√2/2
BC = 16√2 ft
Answer:
Step-by-step explanation:
