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3 years ago

Compare the line passing through the points (-2, 9) and (4, 6) to the line given by the equation y= 2/5 x -4.

Mathematics

1 answer:

Licemer1 [7]3 years ago

4 0

Answer:

No relation ( see bottom for detail )

I'm not sure if you want this explanation, but here you go.

Step-by-step explanation:

If you want to find out if the points are on this line, substitute in the values.

y = 2/5x - 4 y = 2/5x - 4

6 = 2/5 ( 4 ) - 4 9 = 2/5 ( -2 ) - 4

6 = 8/5 -4 9 = -4/5 - 4

6 = 8/5 - 20/5 9 = -4/5 - 20/5

6 ≠ -12/5 9 ≠ -24/5

After substituting in the values, I've come to the conclusion that these points don't pass through this line.

Solving to find if they are perpendicular, I use the rise/run equation-

y_2 - y_1 over x_2 - x_1

y_2 and x_2 is the second set of points, which then can help determine the slope of two points.

4 - ( negative 2 ) ( this is also equal to adding a positive 2 )

-3 / 6

= -1/2 is the slope of these two points

Comparing the slopes given, I can conclude that the equation and these two points have no relation.

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Solution:

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As the two , i.e number of Days lived by plant and it's longest height obtained are directly proportional.

We will solve it by unitary method.

100 Days = 30 cm

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4 years ago

| 2p -1 | =45, what are the values of p?

Alex73 [517]

Answer:

p = 23 and p = -22

Step-by-step explanation:

| 2p -1 | =45

Absolute value equations have 2 solutions, one positive value and one negative

2p-1 = 45 and 2p-1 = -45

Add 1 to all sides

2p-1+1 = 45+1 and 2p-1+1 = -45+1

2p = 46 2p = -44

Divide by 2

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For this case we have the expression:

"the square root of 4" is represented algebraically as:

$\sqrt {4}$

Then, we can express the given statement as:

$3 \sqrt {4} -2 \sqrt {4} =$

They are similar terms, we can subtract:

$3 \sqrt {4} -2 \sqrt {4} = \sqrt {4} = \sqrt {2 ^ 2}$

By definition of power properties we have that:

$\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a$

Then the expression is reduced to:

$\sqrt {2 ^ 2} = 2$

Answer:

$3 \sqrt {4} -2 \sqrt {4} = 2$

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3 years ago