Answer:
( 
, 3 )
Step-by-step explanation:
Given the 2 equations
y = 9x → (1)
6x - y = - 1 → (2)
Substitute y = 9x into (2)
6x - 9x = - 1, that is
- 3x = - 1 ( divide both sides by - 3 )
x =
Substitute x = into (1) for corresponding value of y
y = 9 × = 3
Solution is ( , 3 )
The perimeter of the composite shape is: (3π + 12)mm
<h3>What is a semicircle?</h3>
A semicircle is a part of a circle cut through its diameter.
Analysis:
perimeter of a semicircle = πr
where r = 6/2 = 3mm
perimeter of a semicircle = π(3) = 3π
perimeter of incomplete rectangle = L+2B, L = 6mm, B = 3mm
perimeter of rectangle = 6mm +2 x 3= 12mm
perimeter of shape = (3π+12)mm
In conclusion, the perimeter of the rectangle is (3π+12)mm
Learn more about semicircles :brainly.com/question/285710
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Answer:
linear
Step-by-step explanation:
because it describes
Answer:
4
Step-by-step explanation:
The left side of the equation can be factored as the difference of squares:
(a -b)(a +b) = 105
The right side of the equation can be factored to 4 different pairs of factors:
105 = 1·105 = 3·35 = 5·21 = 7·15
For each of the factor pairs, we can match factors to get, for example, ...
a -b = 1
a +b = 105
The solution to this is a = (105 +1)/2 = 53, b = (105 -1)/2 = 52. Thus, we have ...
(a, b) = (53, 52)
For the other factor pairs, the solutions are ...
(a, b) = (19, 16), (13, 8), (11, 4)
There are a total of 4 positive integer solutions.
