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2 years ago

Two parallel lines were cut by a transversal. Which of the following scenarios is NOT a possible result?

Mathematics

1 answer:

andreyandreev [35.5K]2 years ago

4 0

Answer:

The answer is :

D. a pair of corresponding angles with measures of 60° and 60°

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Consider the following equation. f(x, y) = y3/x, P(1, 2), u = 1 3 2i + 5 j (a) Find the gradient of f. ∇f(x, y) = Correct: Your

BaLLatris [955]

$f(x,y)=\dfrac{y^3}x$

a. The gradient is

$\nabla f(x,y)=\dfrac{\partial f}{\partial x}\,\vec\imath+\dfrac{\partial f}{\partial y}\,\vec\jmath$

$\boxed{\nabla f(x,y)=-\dfrac{y^3}{x^2}\,\vec\imath+\dfrac{3y^2}x\,\vec\jmath}$

b. The gradient at point P(1, 2) is

$\boxed{\nabla f(1,2)=-8\,\vec\imath+12\,\vec\jmath}$

c. The derivative of $f$ at P in the direction of $\vec u$ is

$D_{\vec u}f(1,2)=\nabla f(1,2)\cdot\dfrac{\vec u}{\|\vec u\|}$

It looks like

$\vec u=\dfrac{13}2\,\vec\imath+5\,\vec\jmath$

so that

$\|\vec u\|=\sqrt{\left(\dfrac{13}2\right)^2+5^2}=\dfrac{\sqrt{269}}2$

Then

$D_{\vec u}f(1,2)=\dfrac{\left(-8\,\vec\imath+12\,\vec\jmath\right)\cdot\left(\frac{13}2\,\vec\imath+5\,\vec\jmath\right)}{\frac{\sqrt{269}}2}$

$\boxed{D_{\vec u}f(1,2)=\dfrac{16}{\sqrt{269}}}$

7 0

2 years ago

85% of what number is 10.2

Free_Kalibri [48]

Answer:

n = 12

Step-by-step explanation:

85%×n = 10.2

85n/100 = 10.2

85n = 1020

n = 1020 : 85

n = 12

7 0

3 years ago

Whats 87 less than the quotient of an unknown number and 43 is -75?

erastovalidia [21]

87 less than the quotient of an unknown number and 43 is -75
Converting that to mathematical equation:
87 - (x / 43) = -75

Evaluating the equation, we can the value of x.
87 - (x/43) = -75
-x/43 = -75 - 87
-x/43 = -162
-x = -6966
x = 6966

4 0

2 years ago

Which answer describes the type of sequence?

Vanyuwa [196]

Aritmetic increases by the same number

geometric has 1 number that each term is multiplied by to get the next term

4 to 9 is 5
9 to 13 is 4
not same difference

9/4=13/9?
81/36=52/36?
no

neither aritmetic nor geometric

3 0

2 years ago

Read 2 more answers

A spinner is numbered 1-10. What is the probability of the spinner landing on the number 5 on the first spin and an even number

Deffense [45]

Answer:

10% and 50%

Step-by-step explanation:

5 0

2 years ago