Answer:
ab = 1
Step-by-step explanation:
A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.
So the reciprocal of x would be x⁻¹ or ¹⁄ₓ
The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.
So we can write this into an equation and solve,
(See image)
Once we solve, we get the equation (ab-1)(a+b) = 0
We are given info that a+b≠0
So for the above equation to be true, ab-1 has to equal 0
For <em>this</em> to be true, the product ab must equal 1
It seems most likely that ...
... Samantha will save $37.50 because she must first find the 25% sale price before taking the extra 50% reduction
_____
In the real world, it seems probable that Samantha will be offered the choice of using the coupon <em>or</em> the sale discount. If she chooses tht 50% coupon, her savings will be $30. If she chooses the marked sale discount, her savings will be $15.
The scenario above assumes she gets 50% off the sale price of $45, so saves $15+22.50 = $37.50 off the original price.
Length of blue cloth is 60 inches , length of gold cloth is 48 inches and length of white cloth is 72 inches.
<u>a.</u>
As, the length of all pieces are equal, so for getting the greatest possible length of the pieces, we need to find <u>GCF(greatest common factor) of 60, 48 and 72. </u>
First we will factor out all three numbers completely......
The common factors are: 2, 2 and 3
Thus the GCF 
So, the greatest possible length of the pieces without having any cloth left over will be 12 inches.
<u>b. </u>
For finding the number of pieces for each color cloth, we will just <u>divide the length of each cloth by 12</u>. So...
Number of pieces for blue cloth 
Number of pieces for gold cloth 
and
Number of pieces for white cloth 
Answer:
<em><u>A:</u></em>
<em><u>Square</u></em>
<em><u>Rectangle</u></em>
<em><u>Parallelogram</u></em>
<em><u>Quadrilateral</u></em>
<em><u>Rhombus</u></em>
<em><u></u></em>
<em><u></u></em>
Step-by-step explanation:
All sides and angles are equal so it is a square
All angles are 90 degrees so it is a rectangle (eliminate C)
Opposing angles and side lengths are congruent so it is a parallelogram (eliminate D)
It has 4 sides so it is a quadrilateral (eliminate B)
Since all of the other answers are eliminated you don't necessarily need to prove that is is a rhombus, but it is good practice.
Opposing sides are congruent so it is a rhombus.
Answer: It is linear. When a line is linear it just means it makes a straight line when you graph it. When it isn’t it will be curved or in some weird shape.
Step-by-step explanation:
