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3 years ago

Use the slope formula (19,-16) (-7,15)

Mathematics

1 answer:

AURORKA [14]3 years ago

5 0

Answer:

-31/26

Step-by-step explanation:

To find the slope

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

= ( 15 - -16)/(-7 - 19)

= ( 15+16)/(-7-19)

= 31/ -26

-31/26

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What is the m∠N ? Can someone help me :)

Sauron [17]

Answer:

Step-by-step explanation:

Use the sine law:

$\dfrac{MO}{\sin(\angle N)}=\dfrac{NM}{\sin(\angle O)}$

We have:

$MO=18\\\\NM=6\\\\m\angle O=17^o\to\sin17^o\approx0.2924$

Substitute:

$\dfrac{18}{\sin(\angle N)}=\dfrac{6}{0.2924}$ <em>cross multiply</em>

$6\sin(\angle N)=(18)(0.2924)$

$6\sin(\angle N)=5.2632$ <em>divide both sides by 6</em>

$\sin(\angle N)=0.8772\to m\angle N\approx61^o$

4 0

3 years ago

If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.

Lelechka [254]

Answer:

$\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }$

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

$f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)$

So we can say that

$a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}$

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

$(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab$

and we can notice that

$a^2+b^2=(a+b)^2-2ab$ so

$(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab$

it comes

$x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}$

multiply by 3

$3x^2-20x+2*16+5=3x^2-20x+37$

4 0

3 years ago

I need help please?!!!!

Naya [18.7K]

Answer:

What you put is correct

Step-by-step explanation:

Because it is -3 and its pointing to the right so the arrow would be like that.

8 0

3 years ago

Read 2 more answers

Perform the multiplication FOR THIRTY POINTS!<br><br> (x^2)/(3) multiplied by (x^2-x-6)/(x^2-6x+9)

Oxana [17]

Answer:

(x^3+2x^2)/(3x-9)

Step-by-step explanation:

3 0

3 years ago

A production system has a total daily output of 400 units and a total labor of 350 hours, what kind of productivity measure can

fomenos

Answer:

1.14 products per hour of labor

Step-by-step explanation:

To calculate the daily productivity would be the amount of products per hour of labor.

That is: 400 products / 350 hours of labor, and that is approximately 1.14 products per hour of labor.

Which means that for every hour of labor, 1.14 products are produced in one day, which would be a factor of productivity.

4 0

3 years ago