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s344n2d4d5 [400]
4 years ago
15

The expression −46+87+46 is rewritten as −46+46+87

Mathematics
1 answer:
ira [324]4 years ago
5 0

When −46+87+46 is rewritten as −46+46+87, it shows that only change in positions of 87 and 46.

Change in order of sum of numbers doesn't change the result.

And when only order changes of added numbers, it will be a Commutative Property of Addition.

This propery could be shown by a simple expression

a+b = b+a.

So, first answer will be "The property used to rewrite this expression is the <u>Commutative Property of Addition.</u>

Now, let us evalute the expression by applying order or operations.

According to order of operations, we would could go from left to right.

−46+46+87.

So, first we add -46+46 = 0  ( by Additive inverse property )

0+87 = 87 ( by Identity Property of Additon) .

Therefore, answer for second part is ..

When the expression is evaluated, the solution is<u> 87.</u>


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Burka [1]

See the explanation

<h2>Explanation:</h2>

Rigid motions are transformations we perform on a figure in order to move it without changing the size or shape of it. They are also called <em>congruence transformations </em>because we can map one figure onto other figure so they will maintain every condition in order to be congruent.

Rigid motions are the following:

  • Reflections: Here we reflect the figure across a line
  • Translations: Here we move the figure either horizontally or vertically
  • Rotations: Here we turn the figure either counterclockwise or clockwise.

So sequence of rigid motions could be any combination we get from the mentioned transformations. For instance:

Perform the transformation of triangle ΔABC following this sequence:

1. Translate the figure 2 units right and 4 units down

2. Reflect the figure across the x-axis

3. Rotate the figure 90 degrees in clockwise direction

<h2> Learn more:</h2>

Transformations in real-world problems: brainly.com/question/1033817

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8 0
3 years ago
The perimeter of a rectangle is 99 ft, and the length is twice the width. what are its dimensions?
Bas_tet [7]

The dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.

<h3>What are the dimensions of the rectangle?</h3>

Perimeter of rectangle is expressed as;

P = 2( l + w )

Given that;

  • Perimeter P = 99ft
  • Let width w = x
  • Length l = 2x

We substitute into the formular above.

P = 2( l + w )

99ft = 2( x + 2x )

99ft = 2x + 4x

99ft = 6x

x = 99ft/6

x = 16.5ft

Width = x = 16.5ft

Length = 2x = 2( 16.5ft ) = 33ft

Therefore, the dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.

Learn more about rectangles here: brainly.com/question/27612962

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7 0
2 years ago
HELP PLEASE! What’s the domain and range?
NeX [460]

Answer:

Domain → (-∞, -1)∪(-1, ∞)

Range → (-∞, ∞)

Step-by-step explanation:

Given function is,

\frac{f(x)}{g(x)}=\frac{x^2+2x-5}{2x+2}

This function is not defined when the denominator is zero.

2x + 2 = 0

2x = -2

x = -1

Therefore, x = -1 is not in the domain of this function.

And the domain will be,

(-∞, -1)∪(-1, ∞)

For all values of x (except x = -1) we get some output values (value of \frac{f(x)}{g(x)}).

Therefore, range of the function will be (-∞, ∞).

7 0
3 years ago
A hole is being dug into the ground at a rate of 5.3 feet per minute. Write an integer to describe the depth of the hole after 1
inna [77]

Answer:

79.5 feet

Step-by-step explanation:

5.3 per minute can also be written as the ratio 5.3:1. so if we have x:15, we can see that we've multiplied the right side by 15 so we have to do the same to the other side. 15 times 5.3 is 79.5. so thats your answer.

i hope this helps :))

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3 years ago
Kyle had 17 cookies and then he bought 25,more cookies. He wants to
Katyanochek1 [597]

Answer:

6 cookies

Step-by-step explanation:

himself + 6 friend = 7

(17+25)/7

= 42/7

= 6

Each friende get:

6 cookies

8 0
2 years ago
Read 2 more answers
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