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velikii [3]
2 years ago
15

Find the equation of the line passing through points (6,-3) and (-2,3)

Mathematics
1 answer:
Eduardwww [97]2 years ago
3 0
3/4 I’m pretty sure hejjejwiwiwjwnnsn
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What does y equal? ​
tensa zangetsu [6.8K]

Answer:

y=-4x+17

Step-by-step explanation:

\begin{pmatrix}4&1\end{pmatrix}\quad \mathrm{and}\quad \begin{pmatrix}2&9\end{pmatrix}

\mathrm{Computing\:dot\:product\:of\:two\:vectors}:\quad \left(x_1,\:\:\ldots ,\:\:x_n\right)\cdot \left(y,\:\:\ldots ,\:\:y_n\right)=\sum _{i=1}^nx_iy_i

=4\cdot \:2+1\cdot \:9

=17

5 0
2 years ago
Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss
egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

P=\frac{x}{y}  

In this problem

<em>The probability of choose a blue card is </em>

x=7

y=7+4+6+8=25

substitute

P=\frac{7}{25}

<em>The probability of choose a green card is </em>

x=4

y=7+4+6+8=25

substitute

P=\frac{4}{25}

<em>The probability of choose a red card is </em>

x=6

y=7+4+6+8=25

substitute

P=\frac{6}{25}

<em>The probability of choose a yellow card is </em>

x=8

y=7+4+6+8=25

substitute

P=\frac{8}{25}

The sum of the probabilities of the 4 possible outcomes  is equal to

\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25} ----> represent the 100%

4 0
3 years ago
What is the definition of exponential decay?
tresset_1 [31]

Answer:

Exponential Decay -

A quantity is subject to exponential decay if it decreases at a rate proportional to its current value.

Step-by-step explanation:

Hope this answered your question ^^

8 0
3 years ago
Read 2 more answers
Solve the system: <br> 2/x - 3/y =-5; 4/x + 6\y =14
sertanlavr [38]

The solution is x = 2 \text{ and } y = \frac{1}{2}

<em><u>Solution:</u></em>

Let us assume,

a = \frac{1}{x}\\\\b = \frac{1}{y}

<em><u>Given system of equations are:</u></em>

\frac{2}{x} - \frac{3}{y} = -5

\frac{4}{x} + \frac{6}{y} = 14

<em><u>Rewrite the equation using "a" and "b"</u></em>

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

<em><u>Multiply eqn 1 by 2</u></em>

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

<em><u>Add eqn 2 and eqn 3</u></em>

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

a = \frac{4}{8}\\\\a = \frac{1}{2}

Substitute a = 1/2 in eqn 1

2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2

Substitute b = 2 in assumed value

b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}

Thus the solution is x = 2 \text{ and } y = \frac{1}{2}

3 0
2 years ago
The “pay upfront” car rental company charges an insurance and gas fee of $33 and daily rental fee of $8 per day. The “drive now
sergeinik [125]

Answer:

The x variable represents the number of days or the daily rental fee.  

5 0
3 years ago
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