Answer:
The end points of line segment are:

Using distance formula,
Distance =
= 
The product of
is
.
Given
The product of
.
<h3>What is multiplication?</h3>
Multiplication is the process of calculating the product of two or more numbers.
The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.
The product of
is given by;

Hence, the product of
is
.
To know more about Multiplication click the link given below.
brainly.com/question/19943359
The equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Given a quadratic function for the transformations given the function f(x) = x²
If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value
- Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)
Hence the equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Learn more here: brainly.com/question/15381183
We know that:
Cost (Cranberry Juice): 6.3 per quart
Cost (Apple Juice): 3.6 per quart
Quantity (Apple Juice): 4 quarts
Quantity (Cranberry Juice): q quarts
Further we know that Terrence wants the cost of the juice to be 4.5 per quart
Hence Total Cost = Cost per quart × Total Number of quarts = (Cost per quart for Apple Juice × Total Number of Apple Juice Quarts) + (Cost per quart for Cranberry Juice × Total Number of Cranberry Juice Quarts)
⇒ Total Cost = 4.5 × (q+4) = 6.3 × q + 3.6 × 4
⇒ 4.5(q+4) = 6.3q + 14.4, which matches with option D
Hence, the correct option is D
I’m not 100% bc/ I learned this last semester, but I think it’s B. So sorry if I’m wrong. I think this bc/ 0.04 is the interest rate as a percent, 4 is the time, 200 is the amount of money, and the one shows that it is exponential growth.