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nevsk [136]
2 years ago
12

Point P has coordinates (-2.5,3). Point Q is a reflection of point P across the x-axis. What are the coordinates of the point Q?

Which quardrant is it in?
Mathematics
1 answer:
HACTEHA [7]2 years ago
8 0

Answer:

  Q = (-2.5, -3), quadrant 3

Step-by-step explanation:

Reflection across the x-axis changes the sign of the y-coordinate.

  Q = (-2.5, -3)

With two negative coordinates, point Q is in Quadrant III.

_____

<em>Additional comment</em>

Point P has a negative x-coordinate and a positive y-coordinate, so is located northwest of the origin in Quadrant II. The quadrant that is southwest of the origin is Quadrant III, which is where points in Quadrant II are reflected to when they are reflected across the x-axis.

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Margarita [4]

If the measure of the given central angle is \theta rad, then the length of the subtended arc is \ell satisfying

\dfrac{\ell}{2\pi(18.4\,\mathrm{in})}=\dfrac{\theta\,\mathrm{rad}}{2\pi\,\mathrm{rad}}\implies\ell=36.8\pi\theta\,\mathrm{in}

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Suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation i
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Answer:

The population mean = sample mean = x`= 67.5

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Step-by-step explanation:

AS the population mean is not given we will calculate it from the sample.

The mean of the sampling distribution is equal to the population mean .

The sample mean is calculated by

x`= ∑x/n= 75,+ 62, +69,+65,+66,+64, +67,+70,+74 + 63/10

x`=675/10= 67.5

The standard deviation of the sample is equal to

u = σ/ √n   where σ is the population standard deviation and n is the number of observations.

Calculating the sample mean

s= √∑xi²/n- (∑x/n)²

s= √(45741/10)- (675/10)²

s= 4.2249

σ= u*√n= 4.229 *√10

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3 0
2 years ago
428 is greater to or less or equal to 3 hundred 12 tens 8 ones
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Answer:

428 is equal to 428  

Step-by-step explanation:

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Ms. Perry bought a plant and is tracking the height of the plant each week. If y represents the height of the plant, in inches,
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Answer:

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The rate of change, or slope, represents the rate at which the height of the plant increased per week.

Use the points (2 , 10) and (4 , 15) from the table to calculate the rate of change, also known as the slope.

y2 - y1 = 15 inches-10 inches

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So, the rate of change is 2.5 inches per week.

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Substitute m = 2.5 and (x , y) = (2 , 10) in the above equation to find out the initial height of the plant.

y=mx+b

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So, the initial height of the plant was 5 inches.

Therefore, the situation represented by the table is when Ms. Perry bought the plant, its height was 5 inches. The plant grew at the rate of 2.5 inches per week.

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Answer:

1 is the answer.

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