All categories

2 years ago

What is the slope of a line perpendicular to y=2x

Mathematics

2 answers:

NISA [10]2 years ago

7 0

The slope would be -1/2

kompoz [17]2 years ago

4 0

Answer:

$-\frac{1}{2}$

Step-by-step explanation:

To find the slope of a perpendicular line just calculate the anti-reciprocal of 2

Slope of the perpendicular line: $-\frac{1}{2}$

The equation would be:

$y=-\frac{1}{2} x$

You might be interested in

Use Lagrange multipliers to find the maximum and minimum values of

marusya05 [52]

The Lagrangian is

$L(x,y,\lambda)=x+8y+\lambda(x^2+y^2-4)$

It has critical points where the first order derivatives vanish:

$L_x=1+2\lambda x=0\implies\lambda=-\dfrac1{2x}$

$L_y=8+2\lambda y=0\implies\lambda=-\dfrac4y$

$L_\lambda=x^2+y^2-4=0$

From the first two equations we get

$-\dfrac1{2x}=-\dfrac4y\implies y=8x$

Then

$x^2+y^2=65x^2=4\implies x=\pm\dfrac2{\sqrt{65}}\implies y=\pm\dfrac{16}{\sqrt{65}}$

At these critical points, we have

$f\left(\dfrac2{\sqrt{65}},\dfrac{16}{\sqrt{65}}\right)=2\sqrt{65}\approx16.125$ (maximum)

$f\left(-\dfrac2{\sqrt{65}},-\dfrac{16}{\sqrt{65}}\right)=-2\sqrt{65}\approx-16.125$ (minimum)

5 0

2 years ago

Can someone help me with these word problems?

Jobisdone [24]

1) $375
500 *.25= 125
500-125= 375

2) (5/8)* 32= 20 girls in class
(3/8)* 32= 12 BOYS in class

4) 19+42+X=87
62+X= 87 (add 19 and 42 together )
X=25 ( subtract 87 from 62)

4 0

2 years ago

24x____=8x3/10. What goes in the space

skad [1K]

24x___ = 2.4
24/2.4 = 0.1
24x0.1 = 8x3/10
2.4 = 2.4

5 0

2 years ago

Graph the first six terms of a sequence where a1 = −10 and d = 3.

Neko [114]

notice the first term is -10, and the common difference is 3, so we add 3 to get the next term.

$\bf \begin{array}{cccll}\stackrel{x}{n}&term&\stackrel{y}{value}\\\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\1&a_1&-10\\\\2&a_2&\stackrel{-10+3}{-7}\\\\3&a_3&\stackrel{-7+3}{-4}\\\\4&a_4&\stackrel{-4+3}{-1}\\\\5&a_5&\stackrel{-1+3}{2}\\\\6&a_6&\stackrel{2+3}{5}\end{array}$