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3 years ago

Which set of numbers could be the length of the sides

Mathematics

1 answer:

Svetllana [295]3 years ago

3 0

Answer: Choice C) {6, 9, 12}

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Explanation:

Something like choice A can't form a triangle because the first two sides add to 6+9 = 15, which is <u>not</u> longer than the third side 15. We need to have x+y > z to be true. The same goes for choice B as well because 3+3 = 6 is too small compared to the third side 7. Choice D is similar to choice A.

In short, we can rule out choices A, B, and D.

The only thing left is choice C. Picking any two sides leads to having that sum be larger than the third side

6+9 = 15 which is larger than 12
9+15 = 24 which is larger than 6
6+15 = 21 which is larger than 9

So the conditions of the triangle inequality theorem work out here, and we have a triangle.

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What is a true statement about negative exponents?

Nadya [2.5K]

Answer:

Raising something to a negative exponent is just taking the reciprocal of the amount.

Step-by-step explanation:

Let's assume that you wanted to know what $x^{-2}$ is.

To find it, you would take the reciprocal of the x amount. So $x^{-2}$ becomes $\frac{1}{x^{2}}$ .

This works because of the nature of exponents. Exponents represent the number of times you are multiplying a value by itself. So $a^{3}$ would be equal to a · a · a. To increase the exponent, you increase the number of times the value is multiplied by itself: To increase $a^{3}$ to $a^{5}$ , you would have to multiply a with $a^{3}$ two more times (a · a · a · a · a). To decrease the exponent, you must divide the value by itself. So to decrease $a^{5}$ to $a^{2}$ , you would have to divide $a^{5}$ by a 3 times.

If the exponent is 0, the value is equal to 1. But you can still decrease the exponent into negative numbers. You just divide 1 by a the desired amount of times: $\frac{1}{a^{3}}$ means that you are dividing 1 by a 3 times.

Hope this helps.

3 0

3 years ago

Will mark BRAINLIST Find the perimeter of the following shape, rounded to the nearest tenth: coordinate plane with quadrilateral

kolbaska11 [484]

Answer:

11.3 units

Step-by-step explanation:

Let's find the length of one of the boxes.

$a^2+b^2=c^2\\1^2+1^2=c^2\\1+1=c^2\\2 = c^2\\\\\sqrt{2} = c\\ c = 1.414...$

Let's simplify c down to 1.41.

Now, there are 8 of these little boxes for the perimeter, let's multiply.

$1.41\cdot8=11.28$

That can be simplified to the nearest tenth - 11.3

Hope this helped!

8 0

3 years ago

Which number sentence is true? O A) 2.3 x 102 > 2000 OB) 3.45 > 1-4.35| OC) 345 > 5:33 825 OD 13

OLEGan [10]

Answer:

D) -2.14< root10 <|-2.8|

Step-by-step explanation:

the value for -2.14 is as plain as you can see, the negative version of 2.14.

The square root of 10 is 3.16227766.

The lines next to -2.8 is asking for the absolute value of -2.8, or the distance between that number and zero. The distance between -2.8 and 0 is positive 2.8, because distance can't be negative.

The 3 numbers taken from the explanations are -2.14, 3.16, and 2.8. Ranking them from least to greatest would give you -2.14, 2.8, 3.16, or -2.14< root10 <|-2.8|

7 0

3 years ago

7-3x = -x+1<br> Simplify this equation

frozen [14]

Answer:

x=11

Hope this helps :)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Help me answer 1 and 2 please

Fittoniya [83]

I think 1 is -540 and 2 is -290

8 0

3 years ago