Answer:
50°
Step-by-step explanation:
In a parallelogram opposite angles have the same measure. Angle ABC has then the same measure of angle ADC, which is 38°+12°=50°
The first term is -2. The fourth term is -16. And the last term is -256.
To find them, lets say the first term, replace n with 1. You can use this idea to find out the rest (which I've already done, but just to explain to you.).
Answer:
Circumcenter = (4,0)
Circumcircle = √5
Step-by-step explanation:
The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. The vertices of the triangle are equidistant to the circumcentre.
Let us assume the coordinate of the circumcentre is at O(x, y). Therefore the distance between the cirmcumcenter and the vertices are:
![AO=\sqrt{(x-2)^2+(y-1)^2} =\sqrt{x^2-4x+4+(y^2-2y+1)}\\=\sqrt{x^2+y^2-4x-2y+5} \\\\BO=\sqrt{(x-5)^2+(y-2)^2} =\sqrt{x^2-10x+25+(y^2-4y+4)}\\=\sqrt{x^2+y^2-10x-4y+29} \\\\CO=\sqrt{(x-3)^2+(y-4)^2} \\=\sqrt{x^2-9x+9+(y^2-8y+16)}=\sqrt{x^2+y^2-9x-8y+25} \\](https://tex.z-dn.net/?f=AO%3D%5Csqrt%7B%28x-2%29%5E2%2B%28y-1%29%5E2%7D%20%3D%5Csqrt%7Bx%5E2-4x%2B4%2B%28y%5E2-2y%2B1%29%7D%5C%5C%3D%5Csqrt%7Bx%5E2%2By%5E2-4x-2y%2B5%7D%20%20%5C%5C%5C%5CBO%3D%5Csqrt%7B%28x-5%29%5E2%2B%28y-2%29%5E2%7D%20%3D%5Csqrt%7Bx%5E2-10x%2B25%2B%28y%5E2-4y%2B4%29%7D%5C%5C%3D%5Csqrt%7Bx%5E2%2By%5E2-10x-4y%2B29%7D%20%20%5C%5C%5C%5CCO%3D%5Csqrt%7B%28x-3%29%5E2%2B%28y-4%29%5E2%7D%20%5C%5C%3D%5Csqrt%7Bx%5E2-9x%2B9%2B%28y%5E2-8y%2B16%29%7D%3D%5Csqrt%7Bx%5E2%2By%5E2-9x-8y%2B25%7D%20%20%5C%5C)
AO = BO, therefore
√(x² + y²-4x-2y+5) = √(x² + y² - 10x - 4y + 29)
x² + y²-4x-2y+5 = x² + y² - 10x - 4y + 29
6x + 2y = 24 (1)
BO = CO
√(x² + y² - 10x - 4y + 29) = √(x² + y² - 9x - 8y + 25)
x² + y² - 10x - 4y + 29 = x² + y² - 9x - 8y + 25
-x + 4y = -4 (2)
Multiply equation 2 by 6 and add to equation 1:
26y = 0
y=0
Put y = 0 in -x + 4y = -4
-x + 4(0) = -4
x = 4
The cicumcenter is at (4, 0)
The radius of the circumcircle = AO = BO = CO. Therefore:
![Radius=AO=\sqrt{(4-2)^2+(0-1)^2} =\sqrt{4+1}=\sqrt{5}](https://tex.z-dn.net/?f=Radius%3DAO%3D%5Csqrt%7B%284-2%29%5E2%2B%280-1%29%5E2%7D%20%3D%5Csqrt%7B4%2B1%7D%3D%5Csqrt%7B5%7D)
Answer:
Step-by-step explanation:
(3q)(2q)/
Multiply in the numerator
Divide the coefficients and subtract the exponents
If this answer is correct, please make me Brainliest!
Answer:
What are the y values you can not find the average rate of change without the y values.
Step-by-step explanation: