All categories

2 years ago

Create the equation of the line that passes through the point (1, -10) and is perpendicular to y=-1/3x+5

Mathematics

1 answer:

Ber [7]2 years ago

4 0

Answer:

y = 3x - 13

Step-by-step explanation:

y = -1/3x + 5

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of perpendicular line is 3

y = mx + b

y = 3x + b

Using (1,-10)

-10 = 3(1) + b

-10 = 3 + b

b = -13

y = 3x - 13

You might be interested in

PLEASE ANSWER PLEASEE!!!!!!!

Montano1993 [528]

Answer:

they would both be 61°

Step-by-step explanation:

when the angles make out a straight line it equals to 180 and 180 subtracted to 119 comes out to 61 and both b and c are vertical angles which would make them congruent

4 0

3 years ago

Read 2 more answers

A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size

Bezzdna [24]

Answer:

a) has the same probability of being selected

Step-by-step explanation:

A simple random sampling means that each possible sample of size n has the same probability of being selected.

Then your answer is:

a) has the same probability of being selected

8 0

3 years ago

What is 50 of 110 home work due tommorow please help!

Kisachek [45]

55 if you mean one half
5500 if you mean 50 times 110
60 if you mean 50 from 110

7 0

4 years ago

Suppose z equals f (x comma y ), where x (u comma v )space equals space 2 u plus space v squared, y (u comma v )space equals spa

barxatty [35]

$z=f(x(u,v),y(u,v)),\begin{cases}x(u,v)=2u+v^2\\y(u,v)=3u-v\end{cases}$

We're given that $f_x(6,1)=3$ and $f_y(6,1)=-1$ , and want to find $\frac{\partial z}{\partial v}(1,2)$ .

By the chain rule, we have

$\dfrac{\partial z}{\partial v}=\dfrac{\partial z}{\partial x}\dfrac{\partial x}{\partial v}+\dfrac{\partial z}{\partial y}\dfrac{\partial y}{\partial v}$

and

$\dfrac{\partial x}{\partial v}=2v$

$\dfrac{\partial y}{\partial v}=-1$

Then

$\dfrac{\partial z}{\partial v}(1,2)=\dfrac{\partial z}{\partial x}(6,1)\dfrac{\partial x}{\partial v}(1,2)+\dfrac{\partial z}{\partial y}(6,1)\dfrac{\partial y}{\partial v}(1,2)$

(because the point $(x,y)=(6,1)$ corresponds to $(u,v)=(1,2)$ )

$\implies\dfrac{\partial z}{\partial v}(1,2)=3\cdot2\cdot2+(-1)\cdot(-1)=\boxed{13}$

4 0

3 years ago

What is the value of a over 6 plus 3 if a=48

AlexFokin [52]

Hello there!

By a over 6, I assume you mean a / 6? And by the wording, I assume 3 is outside of the fraction.

For the three outside the fraction,

(a / 6) + 3
(48 / 6) + 3
8 + 3
= 11

Hoped this help! If you have any more questions or need any more assistance, don't hesitate to friend me and message me! I can provide a mini lesson and a in-depth explanation as to what I did and why.

5 0

3 years ago