A rectangle has a perimeter of 110 inches. The rectangle' s length is five more than twice the width.
1 answer:
Answer:
Length is 38 inches
Width is 16 inches
Step-by-step explanation:
Let the width be x inches
The length will be 2x + 5 inches
The perimeter is 110 inches
Perimeter is given by (2 × length) + (2 × width)
2(2x + 5) + 2x = 110 inches
4x + 10 + 2x = 110 inches
6x = 100 inches
x (width) = 100/6 = 16 inches
Length = 2(100/6) + 5 = 38 inches.
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<em>Equation b) (-3 + 5i) (1) = -3 + 5i demonstrates the multiplicative identity property </em>
<h3>Further explanation</h3>There are several properties in integer multiplication operations
- 1. closed property
Multiplication between integers will produce integers too
- 2. commutative property
a x b = b x a
- 3. associative property
ax (bxc) = (axb) xc
- 4. identity
ax1 = 1 x a = a
- 5. distributive property
* addition
ax (b + c) = axb + axc
* substraction
ax (b-c) = axb - axc
The Multiplicative Identity is <u><em>1 </em></u>
<u><em>The multiplicative identity property states that any number multiplied by 1 will produce an original number. </em></u>
We complete the answer choices available from the problem above:
a) (- 3 + 5i) + 0 = -3 + 5i
O is an identity in the sum operation, the statement is false
b) (-3 + 5i) (1) = -3 + 5i
1 is a Multiplicative Identity of multiplication, so the statement is true
c) (-3 + 5i) (-3 + 5i) = -16-30i
d) (-3 + 5i) (-3 + 5i) = 16 + 30i
choice c and is a multiplication factor, so the statement is false
<h3>Learn more </h3>
the substitution method
The work of a student to solve a set of equations
Keywords: Multiplicative Identity property, integers
