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notka56 [123]
2 years ago
11

Quadrilateral ABCD is a rectangle. If the coordinates of A

Mathematics
1 answer:
Neporo4naja [7]2 years ago
5 0
<h3>Answer: A)  -2</h3>

==========================================

Explanation:

Let's find the slope of line AB

m = (y2-y1)/(x2-x1)

m = (2-7)/(-6-4)

m = (-5)/(-10)

m = 1/2

The slope of line AB is 1/2

To get the slope of BC, we flip the fraction and the sign to get the perpendicular slope

1/2 becomes -2/1 or simply -2

----------

Slope of AB = 1/2

Slope of BC = -2

Notice how the two perpendicular slopes multiply to -1.

We know they are perpendicular because the four angles of any rectangle are always 90 degrees each.

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Identify the percent of change as an increase or a decrease. 9 points to 4 points
padilas [110]

Answer:

55.55% decrease

Step-by-step explanation:

change\% =  \frac{final \: point \:  - initial \: point}{initial \: point \: value}  \times 100

In the question ,

Initial point value = 9

Final point value = 4

Change% = \frac{4 - 9}{9}  \times 100 =  \frac{ - 5}{9} \times 100 =  - 55.55\%

8 0
3 years ago
Circle the rate that does not belong with the other three. Explain your reasoning.
gladu [14]
<span>500ft/1minute
</span> <span>The rate which deviates from the choices given is 500ft/1min
<span>Since, 60mi/hr and 88ft/s =1440mi/day
To illustrate this hypothesis we can solve and convert 60miles/hr
60 x 24 = 1440
hence, 60miles/hr = 1440miles/day

88ft/s
1. 88ft = 0.016667miles
2. 60 seconds = 1 minute </span></span> 3. 60 minutes = 1 hr 4. 24 hours = 1 day Hence, in conversion <span><span>
60 sec x 60 min x 24 hours = 86400s
0.016667 miles x 86400 sec  = 1440 mi/day
88ft/s = 1440miles/day</span> </span>



5 0
3 years ago
6x + 3y - 9 when x = 6, y = 9
anastassius [24]

Answer:

54

Step-by-step explanation:

6(6)+3(9)-9

=54

5 0
4 years ago
Read 2 more answers
As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of peopl
alexandr402 [8]

This Question is Incomplete

Complete Question

As an aid to the establishment of personnel requirements, the director of a hospital wishes to estimate the mean number of people who are admitted to the emergency room during a 24-hour period. The director randomly selects 64 different 24-hour periods and determines the number of admissions for each. For this sample, X = 396 and S = 100. Using the sample standard deviation as an estimate for the population standard deviation, what size sample should the director choose if she wishes to estimate the mean number of admissions per 24-hour period to within 1 admission with 99% reliability, what size sample should she choose?

Answer:

Sample size n = 16

Step-by-step explanation:

We use the formula for Margin of Error for the question

Margin of Error = z × Standard deviation/√n

Margin of Error = 1

z score for 99% confidence interval = 2.576

Standard deviation = 100

1 = 2.576 × 100/√n

1 × √n = 257.6

√n = 257.6/1

n = √257.6

n = 16.049922118

Approximately = 16

Therefore, the sample size = 16

4 0
4 years ago
Solve the inequality for u. 55 &gt; 4u + 15 Simplify your answer as much as possible.​
valentinak56 [21]

Step-by-step explanation:

55 > 4u + 15

40 > 4u

10 > u

so, this is true for all u < 10

4 0
3 years ago
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