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Lera25 [3.4K]
3 years ago
12

The image of the point (1, -2) after a rotation of 180° about the origin is

Mathematics
2 answers:
Reika [66]3 years ago
8 0

Answer:

(-1,2)

Step-by-step explanation:

In this problem, the signs are switched because there is a rule to 180 rotation that is (x,y) to (-x,-y).

(1,-2)×(-1x, -1y)= (-1,2) .

if both points were negative, the points would be positive. if they were positive, they would be negative.

Harlamova29_29 [7]3 years ago
4 0

Answer:

(-1,2)

Step-by-step explanation:

Found answer on brainly.

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the Following table shows alexandra's investment options over the course of three years. Her initial investment was $1,000 . wri
Y_Kistochka [10]

The pattern in the given series of amount in the account are in the form of

arithmetic and geometric progression.

  • The function for Option 1 is;  \underline{ f(n) = 1,100 + (n - 1) \cdot 100}
  • The function for Option 2 is; \underline{f(n) = 1,100 \times  1.1^{(n - 1)}}

Reasons:

The given table of values is presented as follows;

\begin{tabular}{c|c|c|c|}Number of years&1&2&3\\Option 1 (Amount in dollars)&1,100&1,200&1,300\\Option 2 (Amount in dollars)&1,100&1,210&1,331\end{array}\right]

In Option 1, the amount in dollars for each year has a common difference of d = 100

The first term, a = 1,100

Therefore;

The Option 1 can be represented as an arithmetic progression , A.P. in the

form, tₙ = a + (n - 1)·d as follows;

For the Option 1, we have;

  • The amount in dollars after <em>n</em> years, \underline{ f(n) = 1,100 + (n - 1) \cdot 100}

For Option 2, it is possible to find;

1,331 ÷ 1,210 = 1,210 ÷ 1,100 = 1.1

Therefore;

The terms in the Option 2 have a common ratio of r = 1.1

The Option 2 is a geometric progression, G.P.

The first term in Option 2 is a = 1,100

Which gives, the nth term, tₙ = a·r⁽ⁿ ⁻ ¹⁾

Therefor;

  • The function for the Option 2 is; \underline{f(n) = 1,100 \times  1.1^{(n - 1)}}

Learn more about arithmetic and geometric progression here:

brainly.com/question/8932895

brainly.com/question/22977503

4 0
2 years ago
the length and width of a rectangle are 4 feet and 3 feet, respectively. a similar rectangle has a width of 9 feet. what is the
icang [17]

Answer:

4 times 3 similar is 9 it could be something times 9 for the second.

8 0
3 years ago
This equation shows how the total amount of paper Scott's office has recycled depends on the number of weeks since they started
Elodia [21]

Answer:

1 week

Step-by-step explanation:

Given:

p = 12w

Where,

w = number of weeks the office has been on the new recycling plan

p = total kilograms of paper recycled.

How many weeks will it take Scott's office to recycle a total of 12 kilograms of paper?

Find w when p = 12

p = 12w

12 = 12w

Divide both sides by 12

w = 12/12

= 1

w = 1 week

8 0
2 years ago
Let Upper A equals left bracket Start 2 By 2 Matrix 1st Row 1st Column negative 2 2nd Column 4 2nd Row 1st Column 1 2nd Column 3
vagabundo [1.1K]

Answer:

not

Step-by-step explanation:

\left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] *\left[\begin{array}{ccc}-2&1\\3&7\end{array}\right]=

First is A and Second is B

Let's find A*B

\left[\begin{array}{ccc}-2(-2)+4*3&-2*1+4*7\\1(-2)+3*3&1*1+3*7\end{array}\right] =\left[\begin{array}{ccc}16&26\\7&22\end{array}\right]

b)

\left[\begin{array}{ccc}-2&1\\3&7\end{array}\right]  \left[\begin{array}{ccc}-2&4\\1&3\end{array}\right] =

Now let's find B*A

\left[\begin{array}{ccc}-2(-2)+1*1&-2*4+1*3\\3(-2)+7*1&3*4+7*3\end{array}\right] =\left[\begin{array}{ccc}5&-5\\1&23\end{array}\right]

c) They are not

7 0
2 years ago
CAN SOMEONE HELP WITH THIS ASAP!!!
jek_recluse [69]

Answer: x=8

Step-by-step explanation:

Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.

6x+13+4x-3=90         [combine like terms]

10x+10=90                 [subtract both sides by 10]

10x=80                       [divide both sides by 10]

x=8

Now, we know that x=8.

6 0
3 years ago
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