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Keith_Richards [23]

3 years ago

9

What are the coordinates of the image of the point (-4,3) after a rotation of 90 degrees counterclockwise around the origin foll

owed by a translation of 1 unit down and 1 unit left?
(2,3)

(-3,4)

(-3,-4)

(-4,-5)

1 answer:

Vinil7 [7]3 years ago

7 0

(-4,-5) Bc that's the answer

You might be interested in

Taye recruits two people to be election campaign volunteers. The next week he ask each of those volunteers to recruit two more c

jeka94

Using a geometric sequence, it is found that:

a) For the first 5 weeks, the numbers are: 2, 4, 8, 16, 32

b) Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

For this problem, on the first week there are 2 people, and since each new people involve two more, the common ratio is of 2, hence the parameters for the geometric sequence are:

$a_1 = 2, q = 2$

Hence the number of people after n weeks is:

$a_n = 2 \times 2^{n - 1}$

For the first 5 weeks, the numbers are:

$a_1 = 2 \times 2^{1 - 1} = 2$

$a_2 = 2 \times 2^{2 - 1} = 4$

$a_3 = 2 \times 2^{3 - 1} = 8$

$a_4 = 2 \times 2^{4 - 1} = 16$

$a_5 = 2 \times 2^{5 - 1} = 32$

There will be 150 volunteers when $a_n = 150$ , hence:

$2 \times 2^{n - 1} = 150$

$2^{n-1} = 75$

$\frac{2^n}{2} = 75$

$2^n = 150$

$n = 7...$

The above is because 2^7 = 128 and 2^8 = 256, and 128 < 150 < 256.

Hence some of the volunteers can stop recruiting new volunteers during the 7th week.

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

3 0

1 year ago

What is the slope of the line?<br><br> A. 0<br> B. 1<br> C. undefined<br> D. infinity

Tanya [424]

Learn this...
HOY -- horizontal line, 0 slope, represented by y = a number
VUX -- vertical line, undefined slope, represented by x = a number

ok....so ur graph shows a vertical line....and a vertical line has an undefined slope

7 0

3 years ago

A screen has side lengths of 10 ft and

Strike441 [17]

The length from one corner to the opposite corner is 26 feet

The screen is the shape of a rectangle.

The length from one corner to the opposite corner is known as the diagonal or hypotenuse. The diagonal separates the rectangle into 2 right-angled triangles . The diagonal's value can be determined using Pythagoras theorem

The Pythagoras theorem: a² + b² = c²

where a = length

b = width

c = diagonal

10² + 24²

100 + 576

= 676

determine the value of the square root

√576 = 26 feet

To learn more about Pythagoras theorem, please check: brainly.com/question/20936855?referrer=searchResults

3 0

2 years ago

A bank made a farmer loan of $1,000 at 14% for 3 years compounded annually. Find the future value and the compound interest paid

Anna11 [10]

Answer:

Principal = $1,000

Rate of interest = 14% = 0.14

Time = 3 years

$A= P(1+r)^t$

A = Amount or future value

P = Principal

r = rate of interest in decimals

t = time

Substitute the values in the formula

$A= 1000(1+0.14)^3$

$A=1481.544$

Future Value is $1481.544

Compound interest = Amount - Principal = $1481.544- $1000 = $481.544

Formula of simple interest : $SI =\frac{P \times R \times T}{100}$

Substitute the values :

$SI =\frac{1000 \times 14 \times 3}{100}$

$SI =420$

So, Simple interest = $420

Compound interest - Simple interest

= $481.544- $420

= $61.544

So, Compound Interest is $61.544 more than simple interest.

8 0

3 years ago

Given the below sequence:

kvasek [131]

Answer:

a) The next three terms are -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence

C) The difference of second term and first term is -2 in given sequence so the given sequence is an arithmetic sequence.

d) The 27 th term is -53

Step-by-step explanation:

a) the given sequence is arithmetic sequence

the difference of second term and first term is -2

given sequence is -1,-3,-5,-7.....

the nth term in arithmetic sequence

$t_{n} = a+(n-1)d$

First term is a = -1 and difference is d = -2

finding fifth term is

$t_{5} = -1 +(5-1)(-2)$

$t_{5} = -1-8 =-9$

finding sixth term is

$t_{6} = -1 +(6-1)(-2)$

$t_{6} = -1-10 =-11$

finding seventh term is

$t_{7} = -1 + (7-1)(-2)$

$t_{7} = -1 -12 =-13$

The next three terms are -9,-11,-13

The given sequence is -1,-3,-5,-7,-9,-11,-13

b) This is arithmetic sequence.

C) because the difference of second term and first term is -2 so the given sequence is arithmetic sequence.

d) by using nth term formula in arithmetic sequence

$t_{n} = a+(n-1)d$

a= -1 and d =-2

<u>find 27 t h term :-</u>

<u></u> $t_{27} = -1 + (27-1)(-2) = -1-52=-53$ <u></u>

6 0

3 years ago