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Tanya [424]
4 years ago
11

A point is refected across the x-axis. The new point is (5,-3.5).What is the distance between the two points?

Mathematics
1 answer:
Vesna [10]4 years ago
5 0
When a point is reflected across the x-axis, it's y value is flipped. Here is a formula for your future reference:

X-axis reflection: (x,-y)

Using your given coordinates, you simply plug the numbers in, resulting in final coordinates of (5,3.5).

Because the problem asks for the distance between the two points, you now have to find the difference between -3.5 and 3.5, which is 7.

There you go; the distance between the points is 7 units.
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Prove that sin(x)/1-cos(x) = 2 · csc(x) using trigonometric identities. Show all steps taken.
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Answer:

Step-by-step explanation:

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=sinx(1+1/cosx)

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7 0
3 years ago
20 points<br> What is the explicit formula for this sequence? -5,-3,-1,1,3
oksian1 [2.3K]
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7 0
4 years ago
Read 2 more answers
Find the federal income tax of a married couple with two children, who have a combined income of $100,000.
Galina-37 [17]

Answer:

 $9,937.50

Step-by-step explanation:

Given

Total income of a married couple = $100,000

Number of children the couple has = 2

The taxable income of the family can be calculated by

Taxable income = total income - exemption deduction - standard deduction

We know that the exemption deduction for a married couple with two children as fixed by the U.S. government is $15,600.

And the standard deduction for a married couple with two children as fixed by the U.S. government is $12,200.

Thus the taxable income can be calculated by

Taxable income = total income - exemption deduction - standard deduction

                           = $100,000 - $15,600 -  $12,200

                           = $72,200.

So the taxable income is $72,200.

Now if the taxable income is in the range between

$17,850 to $72,500, the tax is $1,785 plus the marginal rate of 15% of the amount of $72,200 that is over $17,850.

Now in order to calculate tax ---

add $1,785 plus the marginal rate of 15% of the amount of $72,200 that is over $17,850.

Now deducting $17,850 from $72,200 will give $54,350.

So 15% of $54,350 is $8152.50

Therefore add $1,785 and $8,152.50 = $9,937.50

Therefore the tax payed by the couple is $9,937.50

7 0
4 years ago
Please help!!! This really affects my grade! I need a final answer not a guess. Thank you very much. I really appreciate it. Lin
Darina [25.2K]

Answer:

Left skewed

Step-by-step explanation:

Looking at the box and whisker plot attached showing the wait times and the number of times they occur, we can see that as we approach the left, the number of times the wait time occurs increases. The box plot also shows like as if the box was pushed to the right as the center line is closer to the right than left.

Thus, we can say it's left skewed.

8 0
3 years ago
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