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Gre4nikov [31]
3 years ago
8

9.Rectangle ABCD is located at A(1, 2, B(3, 2), C(3, 4) D(1, 4) and is rotated 90 degrees clockwise. What is the location of B'?

Mathematics
1 answer:
Oduvanchick [21]3 years ago
8 0

Answer:

  • B'(2, -3)

Step-by-step explanation:

<u>Given rectangle ABCD with coordinates:</u>

  • A(1, 2), B(3, 2), C(3, 4), D(1, 4)

The rectangle is rotated 90 degrees clockwise.

<u>The rule for this rotation is:</u>

  • (x, y) → (y, -x)

<u>Point B mapped to B' as per above rule:</u>

  • B(3, 2) → B'(2, -3)
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What is the equation in point slope form of the line passing through (0,5) and (-2,11)
IRISSAK [1]

The equation of the line passing through (x_1,y_1) and (x_2,y_2) is

\frac{x-x_1}{y-y_1} =\frac{x_2-x_1}{y_2-y_1}. Here

\frac{y_2-y_1}{x_2-x_1} is the slope of the line.

Substituting numerical values, the equation of the line is

\frac{x-0}{y-5} =\frac{-2-0}{11-5} \\ \frac{x}{y-5} =-\frac{1}{3} \\ 3x=5-y\\ 3x+y=5

The equation of the line is 3x+y=5

6 0
2 years ago
El valor del 0 en el número 60,152?
andreev551 [17]

The value of the 0 in the number 60,152 is the thousands place.

6 = ten thousand

0 = thousand

1 = hundreds

5 = tens

2 = ones

Hope helps!-Aparri

8 0
3 years ago
Challenge Problem/Group Activity
8_murik_8 [283]

The different ways that they can vote is given as 16 different ways.

<h3>How to calculate the ways that they can vote</h3>

The question say that there are a total of 4 members of the board. Out of these 4, we have the choices as yes or a no.

This tells us that each person only has 2 choices of what they want.

Hence given that the board members ar 4, we would have 2⁴

= 2 * 2 * 2 * 2

= 16

Hence the different ways that they can all vote is 16.

Read more on permutations and combinations here:

brainly.com/question/4658834

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8 0
2 years ago
Gavin is working to get his private pilot certificate he must fly minimum of 2020 hours with his plane instructor before he can
irinina [24]

Answer: He needs a minimum of 2011.25 hours

Step-by-step explanation:

In order for Gavin to get his private pilot certificate he must fly solo.

He must fly a minimum of 2020 hours with his plane instructor before he can fly solo.

He has already flown 8 3/4 hours with his instructor. This is express as 8hours + (3/4 × 1) = 8.75 hours

To determine how many more flying hours that he needs before he can fly solo, we will subtract the number of hours that he had flown from the the minimum of 2020 hours . it becomes

2020 - 8.75 = 2011.25.

He needs a minimum of 2011.25 hours

5 0
3 years ago
The following group of values was entered into the TVM solver on a graphing calculator
Kisachek [45]

Based on the entries into the TVM solver, the expression that will return the same value for PV is \frac{(620) (( 1 + 0.066)^{108} - 1) }{(0.066) (1 + (0.066))^{108}}.

<h3>Which formula will give the same Present Value?</h3>

The formula for present value for this series of cashflows is:

= \frac{(Payment) (( 1 + Interest rate)^{Number of years} - 1) }{(Periodic interest) (1 + (Periodic interest))^{Number of years}}

Based on the P/Y and the C/Y being 12, the number of periods given in the graphing calculator will be the same in the formula, which is 108 periods.

The interest rate of 6.6% will also be the same in the formula.

The best option is therefore <u>option B </u>which has all these figures and so will give the same present value.

Find out more on present value at brainly.com/question/25792915.

#SPJ1

8 0
2 years ago
Read 2 more answers
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