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stira [4]
3 years ago
14

Kevin wants to cover a rectangular floor that is 15 feet by

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

Answer: 50 square yards

Step-by-step explanation:

From the question, we are informed that Kevin wants to cover a rectangular floor that is 15 feet by 30 feet with carpeting.

The first thing to do is to convert the measurement that were given to yards. We should note that 1 yard = 3 feet

15 feet = 15/3 = 5 yards

30 feet = 30/3 = 10 yards

Area = 5 × 10 = 50 square yards

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Find the equation of the line: parallel to 3x−y=11 through (−2, 0).
stepan [7]

Answer:

I believe it is:

slope-intercept form: y=3x+6

standard form: -3x+y=6 or 3x-y=-6

point slope-form: y-0=3(x+2)

Step-by-step explanation:

First, I put 3x-y=11 into slope-intercept form:

Subtract 3x from both sides: 3x-3x-y=11-3x

That becomes -y=-3x+11

Divide both sides by -1: -y/-1=(-3x+11)/-1

That becomes y=3x-11\

Then, the definition of a parallel line is having the same slope but different y-intercepts, so I dropped the -11 as the y-intercept, and I rewrote the equation as y=3x+b, where b is the y-intercept.

Now, I have to find the y-intercept of the parallel line, so I plug the coordinates (-2,0) into the equation for x and y to solve for the y-intercept

Write the equation out with what you have so far: y=3x+b

Substitute the coordinates (-2,0) in for x and y: 0=3(-2)+b

That becomes 0=-6+b

Add 6 to both sides: 0+6=-6+6+b

That becomes 6=b, which means that 6 is your y-intercept.

Finally, you have gathered everything you need to write the parallel line in equation format.

The parallel line's equation is

in slope-intercept form: y=3x+6

in standard form: -3x+y=6 or 3x-y=-6

in point-slope form: y-0=3(x+2)

7 0
3 years ago
To assess the effectiveness of a kindergarten-readiness program, 15 children from a random sample were each given a diagnostic a
kobusy [5.1K]

Answer:

D) We are 95 percent confident that the mean difference in scores for all children in the program is between 20.1 points and 23.9 points.

Step-by-step explanation:

x% confidence interval:

A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.

95 percent confidence interval (20.1,23.9)

We are 95% sure that the population mean(that is, the mean for all children in the program) is in this interval. So the correct answer is given by option D.

8 0
2 years ago
3. Trapezoid JKLM is shown on the coordinate plane below.
Archy [21]
(1, -4).

A way I've always done it is to just take the rule and simply add the numbers.

The current coordinates of L are (-1, 2).

-1 + 2 is 1, and 2 - 6 is -4. Easy peasy. :)
7 0
2 years ago
Please help (50 pts and brainliest )
Pani-rosa [81]
One solution (2.5,0)
5 0
2 years ago
What is the definition of rotation
Julli [10]

Rotation is the action of turning/spinning around an axis or center.

7 0
2 years ago
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