The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
<h3>What is a distributive property?</h3>
The distributive Property is one that connote the fact that if a factor is said to be multiplied by the sum or the addition of two terms, it is vital to multiply all of the two numbers by using the factor, and lastly carry out the addition operation.
Hence, The Matchup are:
1. 1/3(24+15)=1/3•24+1/3•15 - distributive property
2. 101+(29+417) = (101+29) + 417 - associative property of addition.
3. (-14)+81 = 81 + (-14) - commutative property of addition.
4. -72 +0=-72 - additive identity.
5. 13/17•17/13=1 -multiplicative inverse.
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Answer:
Step-by-step explanation:
<u>Use the slope-intercept form, which will be in this case:</u>
- g(u) = mu + b, where m is the slope, b is the y- intercept
<u>Find the slope:</u>
<u>Find the value of the y-intercept:</u>
<u>The equation is:</u>
Answer:
48
Step-by-step explanation:
Answer:
Length of Rectangle = 4 cm And
Width of Rectangle = 1.9 cm
Step-by-step explanation:
Given as :
The perimeter of rectangle = 20.2 cm
The area of rectangle is 24.4 cm
Let the length be L
And width be w
Now Area of rectangle = Length × width
Or, 24.4 = L × W
And Perimeter = 2 (Length + Width ) = 2 (L + W )
Or, 20.2 = 2(L + W )
Or , L + W = 10.1 cm ............ 1
Now, (L - W )² = (L + W)² -4 LW
Or, (L - W )² = ( 10.1)² -4 (24.4)
I.e (L - W )² = 4.41
Or , L - W = 2.1 cm .............. 2
SO , From 1 and 2
( L + W) + (L - W) = 10.1 cm - 2.1 cm
Or, 2L = 8
∴ Length = 4 cm
Again , Width = 4 cm - 2.1 cm = 1.9 cm
Hence Length of Rectangle = 4 cm And
Width of Rectangle = 1.9 cm Answer
