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
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The given two equations represent that 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
<h3>What is equation?</h3>
Equations are logical statements in mathematics that are denoted by an equals (=) sign and two algebraic expressions on either side of it. It is demonstrated that the expressions on the left and right are equal to one another.
All mathematical equations start with LHS = RHS (left hand side = right hand side). To find the value of an unknown variable, or unknown quantity, you can solve equations. If the statement does not contain a "equal to" symbol, it is not an equation. It will be considered as an expression.
We have been asked to find the value of x and y in 6x-15y=15 and y=2/5x-1
Let solve for y = 2/5x-1
in 6x - 15y = 15
⇒ 6x - 15(2/5x-1) = 15
⇒ 6x - 6x + 15 = 15
⇒ 15 = 15
⇒ This mans they have slope
⇒ 6x - 15y = 15 in y-intercept form
⇒ 15y = 6x - 15
⇒ 15y = 6x - 15
⇒ y = (6x - 15)15
⇒ y = 2/5x - 1
Thus, 6x-15y=15 is equal to y=2/5x-1 And they have the same slope 2/5.
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The interval where the function is nonlinear and decreasing is 0 < x < 4
<h3>How to determine the interval where the function is nonlinear and decreasing?</h3>
The straight lines on the graph are the intervals where the graph is linear
This means that the straight lines on the graph will not be considered
Considering the curve, the graph decrease from x = 0 to x = 4
This can be rewritten as:
0 < x < 4
Hence, the interval where the function is nonlinear and decreasing is 0 < x < 4
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Hi Kristian
a - 3b = 22
a = b - 2
We need to solve a = b -2 for a
First, we need to substitute b - 2 for a in a - 3b = 22
a - 3b = 22
b - 2 - 3b = 22
-2b - 2 = 22
-2b = 22 + 2
-2b = 24
b = 24/-2
b = -12
Now substitute -12 for b in a = b - 2
a = b -2
a= -12 - 2
a= -14
Thus, the solution is a = -14 and b = -12
The correct option is the last one (-14,-12)
If you have questions about my answer, please let me know.
Good luck!
