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Klio2033 [76]
2 years ago
12

What is the slope of the line shown?

Mathematics
2 answers:
earnstyle [38]2 years ago
7 0

Answer:

The slope is 45.

Step-by-step explanation:

Using the slope formula by two points:

m=(y2-y1)/(x2-x1)

m=(210-120)/(4-2)

m=45

rusak2 [61]2 years ago
4 0

Answer:

Slope = 45

Step-by-step explanation:

(2,120)   & (4,210)

Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{210-120}{4-2}\\\\=\dfrac{90}{2}\\\\\\=45

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What two numbers add to 18 and multiply to 82
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The answers are complex numbers...

Here's why...

---------

p+q=18

pq=82

---------

Therefore:

p=18-q

p=82/q

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

Therefore:

18-q=82/q

q(18-q)=q(82/q)

18q-q²=82

(-1)(18q-q²)=82(-1)

q²-18q=-82

(q-9)²-9²=-82

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(q-9)²=-82+81

(q-9)²=-1

q-9=-√(-1)=-i

q-9=√(-1)=i

-----------

Therefore:

q=9-i

q=9+i

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

ANSWERS:

When q=9-i, p=9+i

When q=9+i, p=9-i

-----------

Proof:

p+(9-i)=18

p+9-i=18

p=18-9+i

p=9+i

....

p+(9+i)=18

p+9+i=18

p=18-9-i

p=9-i

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

More proofs:

p=82/(9+i)

p=(82/(9+i))*((9-i)/(9-i))

p=(82(9-i))/(81-9i+9i-i²)

p=(82(9-i))/(81-(-1))

p=(82(9-i))/82

p=9-i

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

p=82/(9-i)

p=(82/(9-i))*((9+i)/(9+i))

p=(82(9+i))/(81+9i-9i-i²)

p=(82(9+i))/(81-(-1))

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