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Kazeer [188]
3 years ago
5

If x € {3, 4, 5, 6} and y € (1, 2) , find the ordered pairs such as that x+y<8

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer:

(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5)

Step-by-step explanation:

x+y<8. Let y=1, then x=(3, 4,5,6). If y=2, x=(3, 4,5).

You might be interested in
What is the area of a rectangle whose length is 78 feet and width is 26 feet?
nordsb [41]

Answer:

2,028

Step-by-step explanation:

A =L x W so 78 x 26 = 2,028

YOUR WELCOME!

5 0
4 years ago
Ishaan is 2 times as old as Christopher. 35 years ago, ishaan was 7 times as old as Christopher
Natalija [7]

Answer:The present age of both of them are Christopher = 42 years, and Ishaan = 84 years.

Step-by-step explanation: Solution:

Let present age of:

Christopher =  

x

yrs

Ishaan =  

2

x

yrs ( given that Ishaan is 2 times as old as Christopher)

35 yrs ago:

Age of Christopher = (

x

- 35)yrs

Age of Ishaan = (

2

x

- 35) yrs

According to question, 35 yrs back, Ishaan was 7 times older than Christopher.

Therefore

7 X (

x

- 35) = (

2

x

- 35)

7

x

- 245 =  

2

x

- 35

7

x

-  

2

x

= 245 - 35

5

x

= 210

x

= 42

So present age of Christopher =  

x

= 42 yrs

&

Present age of Ishaan =  

2

x

= 84 yrs

Check your solution:

As 84 is 2 times of 42 so Ishaan is 2 times older than Christopher.

35 yrs ago, Christopher was (42 - 35) = 7 yrs old and Ishaan was (84 - 35) = 49 yrs old so Ishaan was 7 times older than Christopher then.

6 0
3 years ago
Find an equation of the line passing through the pair of points. Write the equation in the form Ax +By = C.
Alexxandr [17]

9514 1404 393

Answer:

  5x -y = -37

Step-by-step explanation:

One way to find the coefficients A and B is to use the differences of the x- and y-coordinates:

  A = Δy = y2 -y1 = 2 -(-3) = 5

  B = -Δx = -(x2 -x1) = -(-7 -(-8)) = -1

Then the constant C can be found using either point.

  5x -y = 5(-7) -2 = -37

The equation of the line is ...

  5x -y = -37

_____

<em>Additional comment</em>

This approach comes from the fact that the slope of a line is the same everywhere.

  \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\Delta y}{\Delta x}\\\\\Delta x(y-y_1)=\Delta y(x-x_1)\qquad\text{cross multiply}\\\\\Delta y(x-x_1)-\Delta x(y-y_1)=0\qquad\text{subtract y term}\\\\\Delta y(x) -\Delta x(y) = \Delta y(x_1)-\Delta x(y_1)\qquad\text{Ax+By=C form}

The "standard form" requires that A be positive, so we chose point 1 and point 2 to make sure that was the case.

5 0
3 years ago
Data collected on the discharge of the Colorado River and speed are given in the table:
Julli [10]

Answer:

0.67; The least-squares regression line, given by ŷ = 3.95 + 0.67x, is not a good fit for the data.

Step-by-step explanation:

Plot the data in a spreadsheet and insert a trendline.  The line of best fit is y = 0.67x + 3.95.  The r² value is 0.67.

8 0
4 years ago
Read 2 more answers
I could really use some help rn help please !!
lesya [120]
Lines DH and EC

Diameter is twice the radius so it’s the whole circle only those two show the whole circle so it is those two

Brainliest?
3 0
3 years ago
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