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3 years ago

Please help Show workings!

Mathematics

1 answer:

Colt1911 [192]3 years ago

3 0

Answer:

LM = 57

Step-by-step explanation:

For each median (JN, ML and KP), the distance from a vertex to the centroid is twice the distance from the centroid to the midpoint of the side opposite that vertex.

In that case, LQ = 2QM

If LQ = 38 then QM = 19

38 + 19 = 57

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2 years ago

Topic: The Quadratic Formula

Finger [1]

Answer:

Step-by-step explanation:

The quadratic formula for a equation of form

ax²+bx + c = 0 is

$x= \frac{-b +- \sqrt{b^2-4ac} }{2a}$

For the first equation,

x²+3x-4=0,

we can match that up with the form

ax²+bx + c = 0

to get that

ax² = x²

divide both sides by x²

a=1

3x = bx

divide both sides by x

3 = b

-4 = c

. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.

Plugging our values into the equation, we get

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as our possible solutions

Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.

Next, we have

x²+3x+4=0

Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus

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we can start by subtracting 4x from both sides to maintain the desired form, resulting in

4x²-4x+1=0

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