Answer:
d = 7, 3
Step-by-step explanation:
First, you need to isolate the absolute value
-3|d - 5| = -6
divide both sides by -3:
|d - 5| = 2
break into 2 equations:
d - 5 = 2, d - 5 = -2
solve both equations and collect solutions:
d = 5 + 2, d = 5 - 2
d = 7, 3
The number of possible outcomes is 29. ! hope this help hun <3
This what got , hope it helps
Answer:
x = 7
Length = 4 inches , Width = 15 inches
Step-by-step explanation:
<em>PART</em><em> </em><em>1</em><em> </em><em>:</em>
Area of rectangle = Length × Width
A = L × W
L = x - 3
W = x + 8
Therefore:
A = L × W
60 = ( x - 3 ) ( x + 8 )
( x - 3 ) ( x + 8 ) - 60 = 0
x^2 + 8x - 3x - 24 - 60 = 0
x^2 + 5x - 84 = 0
x^2 + 12x - 7x - 84 = 0
x ( x + 12 ) - 7 ( x + 12 ) = 0
( x + 12 ) ( x - 7 ) = 0
THEREFORE:
x = - 12 , x = 7
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<em>PART</em><em> </em><em>2</em><em> </em><em>:</em>
L = x - 3
L = ( - 12 ) - 3
L = - 15
OR
L = ( 7 ) - 3
L = 4
THEREFORE:
Length can not be a negative number. Hence, L can not equal to - 15.
L = 4 inches
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W = x + 8
W = ( 7 ) + 8
THEREFORE:
W = 15 inches
Answer:
1)
Area
2)
1/2
3)
Radius
Step-by-step explanation:
We know that for any circle with radius r the formula for the area and circumference of the circle is given as:
Area of circle=πr².
and circumference of circle = 2πr.
Hence, to describe the relationship between the area of a circle and its circumference.
The Area of circle is 1/2 times the radius times the circumference.
( Since,
Area=1/2 × r× 2πr
Area=πr² )