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slavikrds [6]
3 years ago
15

The diagonal of a square is x units. What is the area of the square in terms of X?

Mathematics
1 answer:
lesantik [10]3 years ago
5 0

Answer:

\frac{1}{2}x^2 square units

Step-by-step explanation:

The simple formula we need here is:

d=s\sqrt{2}

Where

d is length of diagonal

s is length of side of square

Let's find side length of square from information given:

d=s\sqrt{2} \\x=s\sqrt{2} \\s=\frac{x}{\sqrt{2}}

Now,

we know area of square is  s^2

We know s, and now we find area

Area = s^2\\(\frac{x}{\sqrt{2}})^2\\\frac{x^2}{2}\\\frac{1}{2}x^2

The first answer choice is right, 1/2x^2 sq. units.

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3/6+2/6?<br> 7/5+4/10?<br> 3/6+5/3
shepuryov [24]

Answer:

1) 5/6

2) 18/10 (mixed fraction is 8)

3) 13/6 (mixed fraction is 6⅙)

3 0
3 years ago
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Write a coordinate proof given quadrilateral ABCD with vertices A (3, 2), B (8, 2), C (5, 0), and D (0, 0).
EleoNora [17]

Answer:

Step-by-step explanation:

There is really no way to show that of I know of without drawing it but here is this. I hope this helps and not really exact on position but that is very close.

4 0
2 years ago
A unit of electricity costs 13.2 pence. On average, tanya uses 90 units of electricity per week. She pays for her bill in 12 wee
Scrat [10]

Her electricity bill will be of 14256 pence.

<em><u>Explanation</u></em>

On average, Tanya uses 90 units of electricity per week.

So, the <u>total units of electricity in 12 weeks</u> will be: (90*12)=1080 units

One unit of electricity costs 13.2 pence.

Thus, <u>the total cost for 1080 units</u> will be:  (13.2*1080)pence= 14256 pence.

So, her electricity bill will be of 14256 pence.

7 0
3 years ago
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I need help on this please
Leya [2.2K]

The expression we have is:

2xy\cdot xy^2

And we are given some values for x and y:

\begin{gathered} x=2 \\ y=4 \end{gathered}

The first step will be to substitute the given values into the expression:

2(2)(4)\cdot(2)(4)^2

The next step is to solve 4^2 which is equal to 16:

2(2)(4)\cdot(2)(16)

And then we solve the multiplications, 2(2)(4) is equal to 16 and (2)(16) is equal to 32:

16\cdot32

Solving this final multiplication we get the result:

512

Answer: 512

8 0
1 year ago
On a piece of paper, graph y=4x-2. then determine which answer matches the graph you drew?
Natalka [10]

Because this equation is in slope-intercept form, we can tell exactly how it will look by checking out 3 key points.

Leading coefficient: negative, or positive.

In this case, the leading coefficient is positive, which means that the slope will be going from bottom left to upper right.

Leading coefficient = slope

In this case, the slope is 4, or 4/1, so it will be at a steep incline.

Value of constant = y-intercept.

In this case, the y-intercept is -2, which will help us narrow down our choice.

<h3><u>After reviewing the three answer choices, the most likely selection will be A, as it seems to have a slope of 4, it is positive, and it has a y-intercept of -2.</u></h3>
3 0
3 years ago
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