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2 years ago

Which statements are true Select three options.

Mathematics

1 answer:

BARSIC [14]2 years ago

4 0

The line x = 0 is perpendicular to the line y = -3:

Correct. Any horizontal line (y = a) and any vertical line (x = b) intersect at some point and are perpendicular.

All lines that are parallel to the y-axis are vertical lines:

Correct. The y-axis is a vertical line, so any lines that are parallel to it must also be vertical.

All lines that are perpendicular to the x-axis have a slope of 0.

Incorrect. Lines that have a slope of 0 are horizontal, and the x-axis is horizontal as well. Any lines with a slope of 0 are <em>parallel </em>to the x-axis, not perpendicular to it.

The equation of the line parallel to the x-axis that passes through the point (2, 6) is x = 2.

Incorrect. x = 2 is a vertical line, and vertical lines cannot be parallel to the horizontal x-axis. x = 2 is perpendicular to the x-axis, however.

The equation of the line perpendicular to the y-axis that passes through the point (-5, 1) is y = 1.

Correct. The line y = 1 is horizontal, and the y-axis is a vertical line. Because the line y = 1 crosses the y-axis, the lines are perpendicular.

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A pool manager balances the pH level of a pool. The price of a bucket of chlorine tablets is $90, and the price of a pH test kit

jolli1 [7]

Answer:

The chlorine tablets are $36 and the pH test kit is $4.40.

Step-by-step explanation:

So what I first did was add 90+11 (because $90 for the chlorine tablets and $11 for the pH kit). The answer you should get is 101. From their I did 101 multiplied by 40% or 101 multiplied by .40 (40% and 0.40 are the same thing). You now get $40.4.

Now I did 90·40%. I got $36

Then I did 11·40%. I got 4.4

I added them up and got $40.4 which was my new price so now we know that the chlorine tablets are $36 and the pH test kit is $4.40.

7 0

2 years ago

A drinking glass has sides following the shape of a hyperbola. The minimum diameter of the glass is 45 millimeters at a height o

Alinara [238K]

Answer:

The answer is a= 128.95 and b = 14.75

Step-by-step explanation:

Solution

Given

let the equation of the hyperbola be denoted as x2/a2 - y2/b2 = 1 here, we will consider the foci on the x-axis. All units are considered to be in mm.

From question stated, with x and y coordinates represents height and radius respectively,

Then,

When x = 83 + a, y is = 45/2 = 22.5 and

At x = 180 + a, y is = 57/2 = 28.5

It is important to know that, the height is estimated from the focus so we a a is included to the heights.

Thus,

(83+a)2/a2 - 22.52/b2 = 1 and (180+a)2/a2 - 28.52/b2 = 1

By using a calculator we have, a = 128.95 and b = 14.75

Therefore a= 128.95 and b = 14.75

3 0

2 years ago

Can you please help me fill out the blanks? I am in need of assistance. I will mark the BRAINLIEST to the first person who answe

GREYUIT [131]

I solve this question by hand and have attached images for you because it is very difficult or impossible to do it here . I do it as simple as I can and make it very comprehensive for you. Hopefully, you will understand.

Note: the order for images remain same as I have attached.

7 0

2 years ago

A running coach wants to know if participating in weekly running clubs significantly improves the time to run a mile. The runnin

patriot [66]

Answer:

Option B is correct.

Use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.

Step-by-step Explanation:

The clear, complete table For this question is presented in the attached image to this solution.

It should be noted that For this question, the running coach wants to test if participating in weekly running clubs significantly improves the time to run a mile.

In the data setup, the mean time to run a mile in January for those that participate in weekly running clubs and those that do not was provided.

The mean time to run a mile in June too is provided for those that participate in weekly running clubs and those that do not.

Then the difference in the mean time to run a mile in January and June for the two classes (those that participate in weekly running clubs and those that do not) is also provided.

Since, the aim of the running coach is to test if participating in weekly running clubs significantly improves the time to run a mile, so, it is logical that it is the improvements in running times for the two groups that should be compared.

Hence, we should use the difference in sample means (10 and 8) in a hypothesis test for a difference in two population means.

Hope this Helps!!!

7 0

2 years ago

In a large city, 46% of adults support the local football team building a new stadium. If a poll is taken from a random sample o

elixir [45]

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8 0

1 year ago