Add the x-coordinates and divide by 2.
Add the y-coordinates and divide by 2.
x-coordinate of midpoint: (-3 + 5)/2 = 2/2 = 1
y-coordinate of midpoint: (4 - 8)/2 = -4/2 = -2
Answer: (1, -2)
<u>Answer:</u>
The given statement is False statement
<u>Explanation:</u>
We are given that Jaime has blown out a number of candles equal to his age on each of his birthday till now and he is 9 years old now so the total number of candles blown by him all his life is given by the
arithmetic series
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 and
not the arithmetic series
0 + 1 + 2 + 3+ 4+ 5+ 6+ 7+ 9 as given
so the given statement is false.
Answer:
x(x-4)
Step-by-step explanation:
Answer:
The amount of fencing needed to surround the perimeter of the flower bed is 40 feet
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the length side b
Applying the law of cosines
![c^2=a^2+b^2-2(a)(b)cos(C)](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2-2%28a%29%28b%29cos%28C%29)
where
![c=13\ ft\\a=10\ ft\\C=50^o](https://tex.z-dn.net/?f=c%3D13%5C%20ft%5C%5Ca%3D10%5C%20ft%5C%5CC%3D50%5Eo)
substitute
![13^2=10^2+b^2-2(10)(b)cos(50^o)](https://tex.z-dn.net/?f=13%5E2%3D10%5E2%2Bb%5E2-2%2810%29%28b%29cos%2850%5Eo%29)
solve for b
![169=100+b^2-(20b)cos(50^o)](https://tex.z-dn.net/?f=169%3D100%2Bb%5E2-%2820b%29cos%2850%5Eo%29)
![b^2-[20cos(50^o)]b-69=0](https://tex.z-dn.net/?f=b%5E2-%5B20cos%2850%5Eo%29%5Db-69%3D0)
![b^2-12.86b-69=0](https://tex.z-dn.net/?f=b%5E2-12.86b-69%3D0)
solve the quadratic equation by graphing
The solution is b=16.9 ft
see the attached figure
step 2
Find the perimeter of triangle ABC
![P=AB+BC+AC](https://tex.z-dn.net/?f=P%3DAB%2BBC%2BAC)
substitute the given values
![P=13+10+16.9=39.9\ ft](https://tex.z-dn.net/?f=P%3D13%2B10%2B16.9%3D39.9%5C%20ft)
Round to the nearest foot
![P=40\ ft](https://tex.z-dn.net/?f=P%3D40%5C%20ft)
therefore
The amount of fencing needed to surround the perimeter of the flower bed is 40 feet