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Nikolay [14]
3 years ago
8

Find the equation in standard form of the line passing through the points 3,-4 and 5,1

Mathematics
1 answer:
aliina [53]3 years ago
7 0

Answer:

5x - 2y - 23 = 0

Step-by-step explanation:

Line is passing through the points (3,\:-4)= (x_1, \:y_1) \: \&\: (5,\: 1)= (x_2,\:y_2)

Equation of line in two point form is given as:

\frac{y -y_1 }{y_1 -y_2 }  =  \frac{x -x_1 }{x_1 -x_2 } \\  \\  \therefore \:  \frac{y -( - 4) }{ - 4 -1}  =  \frac{x -3 }{3 -5 } \\  \\  \therefore \:\frac{y  +  4 }{ - 5}  =  \frac{x -3 }{ - 2 } \\  \\  \therefore \: \frac{y  +  4 }{  5}  =  \frac{x -3 }{  2 } \\  \\  \therefore \:  2(y + 4) = 5(x - 3) \\ \therefore \:  2y + 8 = 5x - 15 \\ \therefore \: 5x - 15 - 2y - 8 = 0 \\  \red{ \boxed{ \bold{\therefore \: 5x - 2y - 23 = 0}}} \\ is \: the \: required \: equation \: of \: line \: in \:  \\ standard \: form.

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Which of the following conjectures is false?<br>Please give a counterexample!<br>Thank youuu
MakcuM [25]

Which of the following conjectures is false?

Solution: The false conjecture is:

J. The sum of two odd numbers is odd

Explanation:

F. The product of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The product of two even numbers is:

4 \times 6 = 24

Therefore, the product is also even number. Hence the conjecture is true.

G. The sum of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The sum of two even numbers is:

4+6 = 10

Therefore, the sum is also even number. Hence the conjecture is true.

H. The product of two odd numbers is odd.

For example: Let us take two odd numbers 3 and 5.

The product of two odd numbers is:

3\times5 = 15

Therefore, the product is also odd number. Hence the conjecture is true.

J. The sum of two odd numbers is odd.

For example: Let us take two odd numbers 3 and 5.

The sum of two odd numbers is:

3+5= 8

Therefore, the sum is not an odd number. Hence the conjecture is false.

6 0
3 years ago
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5 0
3 years ago
The table shows how much each fift grade room earned from a bake sale.The money is going to be given to 6 charities.If each Char
finlep [7]
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6 0
3 years ago
Uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimeters and a height of 7 centimeters. Sh
Mariana [72]

Answer:

<h2>1,190cm²</h2>

Step-by-step explanation:

The Area of a triangle is expressed  as 1/2 * base * height. If uma is planning to decorate a blanket with a triangular shape that has a base of 5 centimetres and a height of 7 centimetres, area of the blanket will be expressed as shown;

Area of the blanget = 1/2 * 7 * 5

Area of a blanket = 35/2 = 17.5cm²

If she plans to cut out 68 triangles with these dimensions, the total area will be total number of triangles * area of one triangle i.e 68 * 17.5 = 1,190cm²

6 0
3 years ago
You already owed your friend $5. This morning, you borrowed $4 more, and this afternoon you paid back $3. How much money do you
prisoha [69]
$6 ? 5+4 =9
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I don't know if this is correct but this is how I would do it
6 0
3 years ago
Read 2 more answers
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