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
Answer:
Step-by-step explanation:
Please consider the complete question.
Sebastian swan laps every day in the community swimming pool. He swam 45 minutes each day, 5 days each week, for 12 weeks. In that time, he swam 1800 laps. What was his average rate in laps per hour?
Let us convert time taken into hours as:
1 hour = 60 minutes. To convert minutes into hours, we will divide total minutes by 60.
Now, we will divide 1800 by 45 to find average rate in laps per hour as:
Therefore, Sebastian's average rate is 40 laps per hour.
Answer:
The slope intercept form of both given equations is : y = - 3 x - 4.
Step-by-step explanation:
Here, the given equations are:
y +7 = -3 ( x - 1 )
and 3 x + y = - 4
Now,the SLOPE INTERCEPT FORM of any given equation is given as:
y = m x + C : here, C = Y - intercept, m = Slope
Consider equation (1):
y +7 = -3 ( x - 1 ) ⇒ y + 8 = - 3 x + 3
or, y = -3x + 3 - 7 = -3x - 4
⇒ y = -3x -4
Hence, the slope-intercept form of the given equation is y = -3x -4.
Consider equation (2):
3 x + y = - 4 ⇒ y = -4 - 3 x
⇒ y = -3 x - 4
Hence, the slope-intercept form of the given equation is y = -3x -4.
Answer:
The perimeter is the length of the outline of a shape. To find the perimeter of a rectangle or square you have to add the lengths of all the four sides.
10 cm + 12 cm + 5 cm + 6 cm
= 33 cm
12x2= $24
24+28+45= $97
So $97 is 100%
So 100%-30% =70% (30% off)
(note: 70% = 70/100 = 0.7)
97 x 0.7 = $67.90
