All categories

2 years ago

Steps in how to solve

Mathematics

1 answer:

Alexxandr [17]2 years ago

6 0

First, you replace x with -3.
It will look like -3/3.
Then you divide and get -1.

You might be interested in

Solve this A tourist starts off from town A and travels for 50km on a bearing of N80°W to town B.At town B ,he continues for ano

VLD [36.1K]

Answer:

The point C is 12.68 km away from the point A on a bearing of S23.23°W.

Step-by-step explanation:

Given that AB is 50 km and BC is 40 km as shown in the figure.

From the figure, the length of x-component of AC = |AB sin 80° - BC cos 20°|

=|50 sin 80° - 40 cos 20°|=11.65 km

The length of y-component of AC = |AB cos 80° - BC sin 20°|

=|50 cos 80° - 40 sin 20°|= 5 km

tan $\theta$ = 5/11.65

$\theta$ =23.23°

AC= $\sqrt{5^2+11.65^2}=12.68$ km

Hence, the point C is 12.68 km away from the point A on a bearing of S23.23°W.

8 0

2 years ago

Lateral surface area of this gift box

azamat

I think it’s letter C

7 0

3 years ago

Can someone give me the answers and step by step instructions please??

professor190 [17]

Answer:

$-1,4,-7,10,...$ neither

$192,24,3,\frac{3}{8},...$ geometric progression

$-25,-18,-11,-4,...$ arithmetic progression

Step-by-step explanation:

Given:

sequences: $-1,4,-7,10,...$

$192,24,3,\frac{3}{8},...$

$-25,-18,-11,-4,...$

To find: which of the given sequence forms arithmetic progression, geometric progression or neither of them

Solution:

A sequence forms an arithmetic progression if difference between terms remain same.

A sequence forms a geometric progression if ratio of the consecutive terms is same.

For $-1,4,-7,10,...$ :

$4-(-1)=5\\-7-4=-11\\10-(-7)=17\\So,\,\,4-(-1)\neq -7-4\neq 10-(-7)$

Hence,the given sequence does not form an arithmetic progression.

$\frac{4}{-1}=-4\\\frac{-7}{4}=\frac{-7}{4}\\\frac{10}{-7}=\frac{-10}{7}\\So,\,\,\frac{4}{-1}\neq \frac{-7}{4}\neq \frac{10}{-7}$

Hence,the given sequence does not form a geometric progression.

So, $-1,4,-7,10,...$ is neither an arithmetic progression nor a geometric progression.

For $192,24,3,\frac{3}{8},...$ :

$\frac{24}{192}=\frac{1}{8}\\\frac{3}{24}=\frac{1}{8}\\\frac{\frac{3}{8}}{3}=\frac{1}{8}\\So,\,\,\frac{24}{192}=\frac{3}{24}=\frac{\frac{3}{8}}{3}$

As ratio of the consecutive terms is same, the sequence forms a geometric progression.

For $-25,-18,-11,-4,...$ :

$-18-(-25)=-18+25=7\\-11-(-18)=-11+18=7\\-4-(-11)=-4+11=7\\So,\,\,-18-(-25)=-11-(-18)=-4-(-11)$

As the difference between the consecutive terms is the same, the sequence forms an arithmetic progression.

3 0

3 years ago

Write a function rule for the table. f(x) = x + 4 f(x) = –4x f(x) = 4x f(x) = x – 4

jonny [76]

<em> f(x) = –4x</em> is a function rule for the table.

6 0

3 years ago

Gnesinka [82]

Using a proportional relationship, it is found that the two equations that have the same constant of proportionality are givn by:

с 1 and 3

<h3>What is a proportional relationship?</h3>

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the functions and constants are given as follows:

1. 4y = 3x -> k = 3/4.

2. 8y = 5x -> k = 5/8.

3. 8y = 6x -> k = 6/8 = 3/4.

4. 5y = 8x -> k = 8.5.

Equations 1 and 3 have the same constants, hence option c is correct.

More can be learned about proportional relationships at brainly.com/question/10424180

4 0

1 year ago