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4 years ago

8+4a+6.2-9a simplify expression

Mathematics

2 answers:

Nikitich [7]4 years ago

7 0

Answer:

Well, $8+4a+6.2-9a$ has like terms. The simplified expression would just be these like terms combined.

First, let's combine $8$ and $6.2$

$8+6.2=14.2$

$4a-9a+14.2$

Now, combine the other two monomials.

$4a-9a=-5a$

<em> $-5a+14.2$ would be your answer.</em>

<u>Remember</u>: Some terms <em>can't</em> be combined. For example, $4a$ and $8$ cannot be added together, due to the $a$ in $4a$ . These are not like terms. But $4a$ and $-9a$ are, and can indeed be combined.

Orlov [11]4 years ago

4 0

8 + 6.2 + 4a - 9a

(8 + 6.2) + (4 - 9)a

14.2 - 5a is your answer.

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A special type of door lock has a panel with five buttons labeled with the digits 1 through 5. This lock is opened by a sequence

belka [17]

There are several ways the door can be locked, these ways illustrate combination.

There are 3375 possible combinations

From the question, we have:

$\mathbf{n = 5}$ --- the number of digits

$\mathbf{r = 3}$ ---- the number of actions

Each of the three actions can either be:

<em>Pressing one button</em>
<em>Pressing a pair of buttons</em>

<em />

The number of ways of pressing a button is:

$\mathbf{n_1 = ^5C_1}$

Apply combination formula

$\mathbf{n_1 = \frac{5!}{(5-1)!1!}}$

$\mathbf{n_1 = \frac{5!}{4!1!}}$

$\mathbf{n_1 = \frac{5 \times 4!}{4! \times 1}}$

$\mathbf{n_1 = 5}$

The number of ways of pressing a pair is:

$\mathbf{n_2 = ^5C_2}$

Apply combination formula

$\mathbf{n_2 = \frac{5!}{(5-2)!2!}}$

$\mathbf{n_2 = \frac{5!}{3!2!}}$

$\mathbf{n_2 = \frac{5 \times 4 \times 3!}{3! \times 2 \times 1}}$

$\mathbf{n_2 = 10}$

So, the number of ways of performing one action is:

$\mathbf{n =n_1 + n_2}$

$\mathbf{n =5 + 10}$

$\mathbf{n =15}$

For the three actions, the number of ways is:

$\mathbf{Action = n^3}$

$\mathbf{Action = 15^3}$

$\mathbf{Action = 3375}$

Hence, there are 3375 possible combinations

Read more about permutation and combination at:

brainly.com/question/4546043

4 0

3 years ago

Please answer i need help quick

Serjik [45]

Answer:

(-2, 6)

Step-by-step explanation:

Since you want a 1 to 7 ratio, you want to divide the line into 2 parts, where one part has a length of 1 and the other has a length of 7. So the total length of the line is 8.

Start by looking at the difference in the X and Y coordinates.

X = | -4 - 12 | = | -16 | = 16

Y = | 7 - -1 | = | 8 | = 8

You could calculate the length of the line using pythagorian's theorem, but that's not needed. Simply use similar triangles. We have a right triangle with legs of length 16 and length 8. We want a similar triangle that is 1/8th as large (to get the desired 1 to 7 ratio). So divide both legs by 8, getting lengths of 16/8 = 2, and 8/8 = 1.

Now add those calculated offsets to point A.

A has an X coordinate of -4 and B has an X coordinate of 12 and the X coordinate for C must be between those limits. So calculate -4 + 2 = -2 to get the X coordinate for C.

The Y coordinate of A is 7 and the Y coordinate of B is -1. And since the Y coordinate must be between then, you have 7 - 1 = 6.

So the coordinates for C is (-2, 6)

8 0

4 years ago

Please help! 10 points

Orlov [11]

<h2>Greetings!</h2>

Answer:

Angle A is 118°

Step-by-step explanation:

All angles in a circle add up to 180, so this means that all the measurements of the three angles add to 180:

x + 2x + 13 + x - 8 = 180

Clean it up:

3x + x + x + 13 -8

5x -5 = 180

To isolate the 5x, you need to move the +5 over to the other side, making it a negative 5:

5x = 180 - 5

5x = 175

Now divide each side by 5 to get the value of 1x:

$\frac{5x}{5} = \frac{175}{5}$

x = 35

So angle A is:

3x + 13

3(35) + 13 = 118

<h3>So angle A is 118°</h3>
<h2>Hope this helps!</h2>

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anyanavicka [17]

Answer:

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Step-by-step explanation:

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