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sweet [91]
2 years ago
10

A keypad has only the letters A-D what's is the total number of possible outcomes if the code has 3 letters

Mathematics
1 answer:
vladimir1956 [14]2 years ago
3 0

Answer:

The total number of possible outcomes if the code has 3 letters is 64

Step-by-step explanation:

The keypad has only the letters A-D, that is, A,B,C,D.

To calculate the total number of possible outcomes if the code has 3 letters,

let these spaces represent the code _ _ _

For the first space, there are 4 possibilities (since we have 4 letters)

For the second space, we also have 4 possibilities (since there is no restriction on repetition)

Also, we have 4 possibilities for the last space.

Hence, the total number of possible outcomes if the code has 3 letters is 4×4×4 = 4³ = 64.

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Which equation in point-slope form contains the point (4, –1) and has slope 3?
Andrew [12]

Answer:

y+1=3(x-4)

Step-by-step explanation:

Hi there!

We are given a slope of 3 and a point (4,-1).

We need to find the equation of the line in point-slope form

Point-slope form is given as y-y1=m(x-x1), where m is the slope, and (x1,y1) is a point

We have all of the needed information to substitute into the formula

First, let's label the values of everything to avoid any confusion

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now substitute into the formula *remember, the formula has SUBTRACTION, and we have a NEGATIVE number, so we'll end up subtracting a negative*

y--1=3(x-4)

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4 0
3 years ago
Which type of statement has the form “if A, then B”
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I believe that it’s a conjecture
6 0
3 years ago
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What is the y-coordinate of the point that divides the
natima [27]

Answer:

y-coordinate = 0

Step-by-step explanation:

Consider the below diagram attached with this question.

Section formula:

If a point divides a line segment in m:n whose end points are (x_1,y_1) and (x_2,y_2), then the coordinates of that point are

(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.

Using section formula, the coordinates of that point are

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Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.

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