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ziro4ka [17]
3 years ago
13

Please help with this please thank you!

Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

2 is vertical opposite to 4 and 3 is vertical opposite to 1

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Find the equation of the linear function passing through (2,3) and (5,12)
Elis [28]

y = 3x - 3 is the equation of the linear function passing through (2, 3) and (5, 12)

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

Given that we have to find the equation of linear function passing through (2, 3) and (5, 12)

The formula y = mx + b is said to be a linear function

Where "m" is the slope of line and "b" is the y - intercept

Let us first find the slope of line

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=2 ; y_{1}=3 ; x_{2}=5 ; y_{2}=12

Substituting values we get,

m=\frac{12-3}{5-2}=\frac{9}{3}=3

Thus slope of line is m = 3

To find the y - intercept, substitute m = 3 and (x, y) = (2, 3) in y = mx + b

3 = 3(2) + b

3 = 6 + b

b = 3 - 6

b = -3

Thus the required equation of linear function is:

Substitute m = 3 and b = -3 in formula

y = mx + b

y = 3x - 3

Thus the equation of linear function is found

6 0
3 years ago
A pencil case has 10 blues and 5 reds what is the chance of picking red? ​
Firdavs [7]

Answer:

5/15 or 33%

Step-by-step explanation:

10+5= 15 5/15=33%

4 0
4 years ago
The quotient of the sum of 2t and 2, twice the cube of s
natali 33 [55]

Answer: \frac{2t+2}{2s^3}

Step-by-step explanation:

Since you did not indicate what you need to do, I assume that you have to write an expression using the sentence given in the problem.

In order to solve this exercise, it is importat to remember the following information:

1. The quotient is the result of a division.

2. The sum is the result of an addition.

3. The word "twice" indicates a multiplicatio by 2.

4. The word "cube" indicates an exponent 3.

Then, keeping on mind the explained above and the data given in the exercise, you know that:

-The sum of 2t and 2 can be expressed as:

2t+2

- Twice the cube of s can be expressed in the following form:

2s^3

Therefore, you can dermine that "the quotient of the sum of  2t and 2 and twice the cube of s" is represented with the following expression:

\frac{2t+2}{2s^3}

O

8 0
3 years ago
How many solutions does the system have?<br> x + 4y = 6<br> 2x + 8y = 12
Katarina [22]

Answer:

none :)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The inequality x&lt;4 in interval notation
Strike441 [17]
X<4 represents "all numbers smaller than 4, including all negative numbers."

In interval notation, this comes out to (-infinity, 4).


3 0
3 years ago
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