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Alecsey [184]
3 years ago
6

Across which axis was point A reflected​

Mathematics
1 answer:
Snezhnost [94]3 years ago
4 0

Answer:

When point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).

i.e A'(0, 1) is the image of point A after a reflection.

Hence, point A is reflected across the x-axis.

Step-by-step explanation:

When we reflect a point A across the x-axis, the value of 'y' gets negated, but the value of 'x' remains unchanged.

In other words, when point P with coordinates (x, y) is reflected across the x-axis and mapped onto point P', the coordinates of P' will be (x, -y).

Thus, the rule is:

P(x, y) → P'(x, -y)

Thus, when point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).

i.e A'(0, 1) is the image of point A after a reflection.

Hence, point A is reflected across the x-axis.

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The sum of two numbers is 0. Twice the smaller number subtracted from 3 times the larger number is 10. Let x represent the large
Bezzdna [24]

Answer:

x+y=0 and 3x-2y=10

Step-by-step explanation

Let the numbers be x and y.

The sum of the two numbers is 0

\implies \: x + y =0

Letting the smaller number be y and the

larger number be x:

twice the smaller number

\implies \: 2y

Also, 3 times the larger number

\implies \: 3x

Now ,twice the smaller number subtracted from 3 times the larger number is 10.

\implies \: 3x - 2y = 10

Therefore the equations are

x + y =0

and

3x  - 2y =10

6 0
3 years ago
What are the x-intercepts of the following graph?
pychu [463]

Answer:

c (2,0) and (-2,0) I hope ot helps

8 0
2 years ago
Devin, sebastian, carlos, and Federico completed a heist in GTA coming them $580,500. Devin carns 30%
AURORKA [14]

Answer:

174000

Step-by-step explanation:

6 0
3 years ago
Suppose a normally distributed set of data with 4800 observations has a mean of 195 and a standard deviation of 12. Use the 68-9
Artemon [7]

Answer:

The number of observations in the data set expected to be below a value of 231 is of 4793.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 195

Standard deviation = 12

The normal distribution is symmetric, which means that 50% of the observations are above the mean and 50% are below.

Proportion of observations below 231:

231 = 195 + 3*12

So 231 is three standard deviations above the mean.

Of the 50% of observations below the mean, all are below 231.

Of the 50% of observations above the mean, 99.7% are between the mean of 195 and three standard deviations above the mean(231).

So, the proportion of observations below 231 is:

P = 0.5*1 + 0.5*0.997 = 0.9985

Out of 4800:

0.9985*4800 = 4793

The number of observations in the data set expected to be below a value of 231 is of 4793.

4 0
2 years ago
A couple has 2 children. what is the probability that both are girls if the older of the two is a girl?
12345 [234]
Assuming that the probability of boys and girls is equal (in reality slightly more boys than girls are born), the probability is 1/2, simply because the older girl's gender is given and therefore not a part of the probability.

This question comes from the 'boy or girl paradox', a.k.a. the Mrs Smith Problem.
7 0
4 years ago
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