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3 years ago

The measures of the angles of triangle are 3x°,5x°,76°. Find the value of x

1 answer:

5 0

Triangle = 180°

3x + 5x + 76 = 180
combine like terms

8x + 76 = 180
subtract 76 from both sides

8x = 104
divide both sides by 8 to isolate the variable

x = 13

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2 years ago

Find the directional derivative of f(x,y,z)=z3−x2yf(x,y,z)=z3−x2y at the point (−5,5,2)(−5,5,2) in the direction of the vector v

olga_2 [115]

We are given

$f=z^3 -x^2y$

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now, we are given that

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now, we can find unit vector

$v'=(\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

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$dir=(50,-25,12) \cdot (\frac{-3}{\sqrt{29} } , \frac{2}{\sqrt{29} } , \frac{-4}{\sqrt{29} })$

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4 years ago

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Someone please help!

Vlad1618 [11]

Multiply the top equation by 6 and the bottom equation by 7. You will cancel x first by doing this and solve for y. You should get y=-1.
Substitute in y for either original equation.
You should get x=1.
Solution is (1,-1).

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3 years ago

What is the length of the longest side of a right triangle if the two shorter sides are 5cm and 12 cm?

Leno4ka [110]

Answer:

13cm

Step-by-step explanation:

Using Pythagoras theorem, we have

H^2 = 5^2 + 12^2

= 25 + 144

= square root of 169

= 13cm

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4 years ago