Answer:
26.75 units ^2
Step-by-step explanation:
Since the shape is complex, divide it into 3 right angled triangles and one square. Find the area of these individual shapes first, then fin the sum of these area to calculate the ultimate area of e complex shape:
Triangle 1 = 1/2 x 2 x 5 = 5 units ^2
Triangle 2 = 1/2 x 2 x 2 = 2 units ^2
Triangle 3 = 1/2 x 3.5 x 9 = 15.75 units ^2
Square = 2 x 2 = 4 units squared.
Now add all these up 15.75 + 2 + 5 + 4 = 26.75 units squared.
Hope this helps
x²+y²-2x-6y-5=0
x²-2x+y²-6y=5
x²-2x+1+y²-6y+9=5+1+9
(x-1)²+(y-3)²=15
(x-1)²+(y-3)²=(V15)²
-> centre of the circle: C(-1,-3)
-> radius of the circle: V15
Given:
The sequence formula;
Tn = 4.5n - 8 (Where n = term number)
Required:
15th term = ?
Procedure:
All you need to do is use n = 15
T15 = 4.5(15) - 8
T15 = 59.5
Conclusion:
The 15th term of the sequence is 59.5.
Answer:
C
Step-by-step explanation:
I typed it into a graphing calculator. You could also choose a point (I choose (4,0) ) then plug it into each equation In the answers until you get back the numbers of the point you choose to represent x and y. For example
In light of the fact that point y is the point at which segment xz is divided, the value of the variable an is equal to 4.
<h3>How can I determine what the value of the variable an is?</h3>
Due to the fact that point y divides segment xz into two distinct halves, the following equation may be used to get segment xz's total length:
xz = xy + yz.
The following are the parameters for the test:
xy = 7a. yz = 5a. xz = 6a + 24.
As a result, we need to substitute into the equation and then solve for a.
xz = xy + yz
6a + 24 = 7a + 5a
12a = 6a + 24
6a = 24
a = 24/6
a = 4.
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