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2 years ago

How many solutions does the equation 3x+15=2x+10+x+5 have

Mathematics

1 answer:

sveticcg [70]2 years ago

3 0

Answer:

Infinite

Step-by-step explanation:

3x+15=2x+10+x+5

grouping

3x+15=3x+15

If you have a equation where both sides are the exactly the same, the solutions are infinite. This is written as: x€ℝ

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Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis

Tju [1.3M]

The equations representing the circle having a diameter of 12 units and a center lying on y-axis are x² + (y – 3)² = 36, and x² + (y + 8)² = 36, making options 1, and 5 the two choices.

In the question, we are looking for the equations of the circle having a diameter of 12 units and a center lying on y-axis.

The standard form of the equation of a circle is (x - h)² + (y - k)² + r², where (h, k) is the center of the circle, and r is its radius.

A circle having a diameter of 12 units, will have a radius of 12/2 = 6 units. Thus, r = 6.

A circle having the center on the y-axis will have a center as (0, k) as all points on the y-axis have x-coordinate 0.

Thus, the equation of the circle, with a diameter of 12 units and the center lying on the y-axis takes the form:

x² + (y - k)² = 6², or, x² + (y - k)² = 36.

From the given options, the equations x² + (y – 3)² = 36, and x² + (y + 8)² = 36, are of this form.

Thus, the equations representing the circle having a diameter of 12 units and a center lying on y-axis are x² + (y – 3)² = 36, and x² + (y + 8)² = 36, making options 1, and 5 the two choices.

Learn more about equations of circle at

brainly.com/question/16039879

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The provided question is incomplete. The complete question is:

"Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x² + (y – 3)² = 36
x² + (y – 5)² = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x² + (y + 8)² = 36."

8 0

1 year ago

Draw a right triangle with side lengths of 3, 4, and 5 units. Please show a picture.

Arada [10]

Answer:

https://www.google.com/url?sa=i&source=imgres&cd=&ved=2ahUKEwig0N2PrePnAhVLQq0KHQsCAi0QjRx6BAgBEAQ&url=http%3A%2F%2Fmathworld.wolfram.com%2F345Triangle.html&psig=AOvVaw3V2l2h-p2cQ4XBgk2MthwI&ust=1582398823143518

Step-by-step explanation:

click it

7 0

2 years ago

Point A is 4 units away from the origin along the x-axis, and is 7 units away along the y-axis. Which of the following could be

siniylev [52]

Answer: C (4,7)

Points are labeled as (x,y)

If the unknown point is 4 units away from the origin on the x axis, x will be 4

If the unknown point is 7 units away from the origin on the y axis, y will be 7

Therefore (4,7)

6 0

1 year ago

Read 2 more answers

A set of city temperatures in April are normally distributed with a mean of 19.7 degrees Celsius and a standard deviation of 2 d

Sati [7]

Answer:

19.77% of average city temperatures are higher than that of Cairo

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 19.7, \sigma = 2$