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3 years ago

Solve the following question

Mathematics

2 answers:

Anna11 [10]3 years ago

7 0

Answer:

they are 16 and 4

Step-by-step explanation:

We can call the numbers x and y and we can write:

x - y = 12

x + y = 20

Adding these equations gives us 2x = 32 which means x = 16 and substituting this value into the first equation gives us y = 4.

Yuki888 [10]3 years ago

6 0

Answer:

The numbers are 16 and 4

Step-by-step explanation:

Let the two numbers be x and y

x-y = 12

x+y = 20

Add the two equations together

x-y = 12

x+y = 20

-------------------

2x = 32

Divide by 2

2x/2 =32/2

x = 16

Now find y

x+y =20

16+y =20

Subtract 16

y = 20-16

y = 4

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What is the equation, in slope-intercept form, of the line

Sati [7]

Given:

Given that the graph of the equation of the line.

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We need to determine the equation of the line perpendicular to the given line.

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The slope of the given line can be determined by substituting any two coordinates from the line in the slope formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates (-1,3) and (2,2), we get;

$m_1=\frac{2-3}{2+1}$

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Thus, the slope of the given line is $m_1=-\frac{1}{3}$

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The slope of the perpendicular line can be determined by

$m_2=-\frac{1}{m_1}$

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$m_2=-\frac{1}{-\frac{1}{3}}$

simplifying, we get;

$m_2=3$

Thus, the slope of the perpendicular line is 3.

Equation of the perpendicular line:

The equation of the perpendicular line can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=3$ and the point (2,-1) in the above formula, we have;

$y+1=3(x-2)$

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$y=3x-7$

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3 years ago

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Likurg_2 [28]

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7 0

3 years ago

Read 2 more answers

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Andrews [41]

Answer:

m = 0, y = -6

Step-by-step explanation:

using point slope form :

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one substituted, it should look like this:

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3 years ago

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lara31 [8.8K]

Answer:

Step-by-step explanation:

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nikitadnepr [17]

Answer:

Step-by-step explanation:

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3 years ago