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natima [27]
3 years ago
15

Write an expression, involving exponents to represent the shaded area, in square inches of the diagram. ​

Mathematics
2 answers:
vodka [1.7K]3 years ago
7 0

Answer:

The area is 21 inches

Step-by-step explanation:

3x3=9

3x2=6

9+6=15 ( inches in the white box )

6x6=36 ( area of the whole box)

36-15= 21 ( inches in the shaded area )

Tpy6a [65]3 years ago
7 0

Answer:

6^{2}-(3^{2}+2^{2}) =23

Step-by-step explanation:

We have got 3 squares here. The shaded area is not clear but it is an understood fact that the question must be asking about the area in the bigger square minus the sum of smaller 2 squares.

So, the area of the bigger square is = 6^{2} (exponent form)

or 36 square inches

Area of smaller square with side 3 inches = 3^{2} (exponent form)

or 9 square inches

Area of second smaller square with side 2 inches = 2^{2}  (exponent form) or 4 square inches.

Sum of the area of smaller squares = 3^{2} +2^{2} = 9+4 = 13 sq inches

And area of the shaded region will be = 36-13 = 23 square inches.

In exponent form it can be written as : 6^{2}-(3^{2}+2^{2}) =23

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78 divided by 190 <br><br>steps
Goryan [66]
78 x 100 = 7800 

<span>How many times does 190 go into 780? </span>
<span>≈ 4....190 x 4 = 760 </span>

<span>780 - 760 = 20...bring down the extra 0 to make it 200. </span>

<span>How many times does 190 go into 200? </span>
<span>≈ 1...subtract 190 from 200 to get a remainder of 10 </span>

<span>190 ÷ 7800 ≈ 41</span>

Hope I Helped You!!! :-)

Have A Good Day!!!
5 0
3 years ago
Expand or factor each of the following expressions to determine which expressions are equivalent.​
bearhunter [10]
(3x-4y)^2=9x^2-24x+16y^2
(3x-2)(9x^2+6x+4)=27x^3-8
4 0
3 years ago
Read 2 more answers
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements ar
GaryK [48]

Answer:

The expressions 7x + 4 and 3x + 5 + 4x = 1 are equivalent for every value of x.

Step-by-step explanation:

Expressions - 7x + 4 and 3x + 5 + 4x = 1.

1. When x = 2, both expressions have a value of 18. Let's find out:

1st expression : 7(2) + 4 = 14+4 = 18

2nd expression : 3(2) + 5 + 4(2) = 1

or 6 + 5 + 8 - 1 = 18

Values of both the expressions is 18, hence it is correct statement.

2.The expressions are only equivalent for x = 4 and x = 6.

This is incorrect statement as we just calculated above that the expressions are equivalent for x = 2. Hence, it is incorrect.

3. The expressions have equivalent values for any value of x.

Say, x = 0, then,

7x + 4 = 7 (0) + 4 = 4 and,

3x + 5 + 4x - 1 =  3(0) + 5 + 4(0) - 1  = 5-1 = 4

The statement holds.

Let's try again for x = 12,

7x + 4 = 7(12) + 4 = 88 and,

3x + 5 + 4x - 1 =  3(12) + 5 + 4(12) - 1  = 36 + 5 + 48 -1 =  88

Let's try again for x = 13,

7x + 4 = 7(13) + 4 = 95 and,

3x + 5 + 4x - 1 =  3(13) + 5 + 4(13) - 1  = 39 + 5 + 52 -1 =  95

Clearly, it holds for every value of x, whether it is odd or even. Hence, it is correct statement.

_______________________________________________________

Trick: 7x + 4 = 0....(1) and,

3x + 5 + 4x = 1

Rearranging the terms of above expression, we get,

(3x + 4x) + (5 - 1) =0

or 7x + 4 = 0...(2)

clearly both (1) & (2) are equivalent.

_____________________________________________________

4 0
2 years ago
Name the property the equation illustrates 8 x 1/8 = 1
earnstyle [38]

Answer:

identity property

Step-by-step explanation:

the identity proper is where any number times 1 is equal to itself

5 0
3 years ago
What is the simply interest. principal $ 300, rate 6.8 % time half a year 6 months
Law Incorporation [45]
The formula for simple interest for months is I=P * (r / m) * n. Where P is the principle and r is rate and m is the year or 12 months and n equals how many months.

I=300 * (0.068 / 12) * 6 = 10.2

So the interest would be $10.2
7 0
2 years ago
Read 2 more answers
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