All categories

2 years ago

A walking path across a park is represented by the equation y=-2x-7. A

Mathematics

1 answer:

liq [111]2 years ago

6 0

The equation of the new path is y = -1/2x - 4

<h3>How to determine the equation?</h3>

The equation is given as:

y = 2x - 7

A linear equation is represented as:

y = mx + c

Where m represents slope

This means that:

m = 2

Let the slope of the perpendicular equation be n.

The condition of perpendicular lines is

n = -1/m

So, we have:

n = -1/2

The equation of the new path is then calculated using:

y = n(x - x1) + y1

So, we have:

y= -1/2(x + 2) - 3

Expand

y = -1/2x - 4

Hence, the equation of the new path is y = -1/2x - 4

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

You might be interested in

Evaluate <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%5E%7B-2%7Dx%5E%7B-3%7Dy%5E%7B5%7D%20%7D" id="TexFormula1" title="\

Irina18 [472]

Answer:

$\bf C)\: -\cfrac{1}{32}$

Step-by-step explanation:

$\tt \cfrac{1}{2^{-2}x^{-3}y^5}$

$\tt x=2\\y=-4$

Substitute ''x'' with '2' & 'y' with "-4":-

$\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}$

First let's solve $\tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5$

$\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }$

$\tt \cfrac{1}{32}\left(-4\right)^5$

Calculate exponents:- -4^5= -1024

$\tt \cfrac{1}{32}\left(-1024\right)$

Remove parentheses, apply rule:- $\tt a\left(-b\right)=-ab$

$\tt-\frac{1}{32}\times \:1024$

$\tt \cfrac{1}{32}\times \cfrac{1024}{1}$

Apply fraction rule:-

$\tt -\cfrac{1\times \:1024}{32\times \:1}$

$\tt \cfrac{1024}{32}$

Divide numbers:-

$\tt -32$

Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-

$\tt -\cfrac{1}{32}\;\; \bf Answer$

3 0

2 years ago

Read 2 more answers

two one dollar bills are exchanged for 14 coins all of which are either quarters or dimes. how many dimes were in the exchange

natta225 [31]

10 dimes

The $2 are exchanged for 10 dimes and 4 quarters, which make 14 coins total.

7 0

3 years ago

Read 2 more answers

F(x)=4x+1<br> g(x)=−4x−1<br> Write g in terms of f

Assoli18 [71]

Answer:

i think that the answers is -16x + 5

4 0

3 years ago

Sheila has to type a 36 page report .When she took her coffee break , she had already typed 20 pages of the report. What fractio

blsea [12.9K]

Answer:

20/36 = 5/9

Step-by-step explanation:

The fraction could be represented by ( # of pages that typed / # of total pages that has to type).

20 is number of pages that typed

36 is the total number of pages that has to types

20/36

3 0

3 years ago

Which of the following is equivalent to log50^7 rounded to three decimal places

Vitek1552 [10]

Answer:

11.886

Step-by-step explanation:

Given :

$log 50^7$

Applying formula

$log a^m=m log a$

So,

$7 log 50\\=7(1.698)\\=11.886$

Answer will be 11.886

3 0

4 years ago