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USPshnik [31]
3 years ago
11

What is the equation of the line that passes through the point (-2,0) and has a slople of -2 ​

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
6 0

Answer:

y= -2x-4

Step-by-step explanation:

(-2,0) = (x_1,y_1) \\ m =  - 2

Substitute values into point slope form

y - y_1 = m(x - x_1) \\ y - 0 =  - 2(x - ( - 2)) \\ y - 0 =  - 2(x + 2) \\ y - 0 =  - 2x - 4

y =  - 2x - 4 + 0 \\ y=  - 2x - 4

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Answer:

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Step-by-step explanation:

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3 years ago
Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

A = \frac{1}{2}\cdot n \cdot (n+1)

A = \frac{1}{2}\cdot (n^{2}+n)

A = \frac{n^{2}}{2}+\frac{n}{2}

n^{2}+n = 2\cdot A

Where n is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

n^{2}+n -2\cdot A = 0 (1)

If we know that A = 17.5\,cm^{2}, then the shortest length of the triangle is:

n_{1} = 5.437\,cm and n_{2} \approx -6.437\,cm

Since length is a positive variable, the only possible solution is:

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6 0
3 years ago
Raegan needs 2 boards to make a shelf one board is 1 1/2 m long and the other is 3 1/2 m long what is the total length of the sh
ollegr [7]

Answer:

5 m

Step-by-step explanation:

Find the total length of the shelf by adding together the lengths of the two boards:

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So, the total length of the shelf is 5 m

6 0
3 years ago
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Elena-2011 [213]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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Vikentia [17]
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52=3*17

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17 is the sole common factor that these two numbers have in common, therefore 17 is the GCF.

To simplify the ratio, simply divide both numbers by 17.

85:51 becomes 5:3
5 0
3 years ago
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