1. This triangle is scalene.
2. This triangle is isosceles. Two angles are equal.
3. This triangle is equilateral, all sides are equal.
4. This triangle is equilateral, all angles are equal.
Answer:
Step-by-step explanation: pi r^2
so 42/2 equals 21 radius
volume=22/7 x 21^2
v=1385
Answer:
(A) y+4=-3(x+6)
Step-by-step explanation:
The point-slope form of the equation of a line whose slope is m and passes through the point
is: ![y-y_1=m(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3Dm%28x-x_1%29)
Given the point: ![(x_1, y_1)=(-6,-4)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%3D%28-6%2C-4%29)
Slope, m=-3
![x_1=-6\\y_1=-4](https://tex.z-dn.net/?f=x_1%3D-6%5C%5Cy_1%3D-4)
Substituting these values into:
, we obtain the point slope form of the equation:
![y-(-4)=-3(x-(-6))\\\\y+4=-3(x+6)](https://tex.z-dn.net/?f=y-%28-4%29%3D-3%28x-%28-6%29%29%5C%5C%5C%5Cy%2B4%3D-3%28x%2B6%29)
The correct option is A.
Answer:
and ![y=-1,\frac{1}{2}](https://tex.z-dn.net/?f=y%3D-1%2C%5Cfrac%7B1%7D%7B2%7D)
The ordered pair solutions are
,
,
, and
.
Step-by-step explanation:
I'm assuming the system is
:
![x^2+y^2=2](https://tex.z-dn.net/?f=x%5E2%2By%5E2%3D2)
![x^2+(2x^2-3)^2=2](https://tex.z-dn.net/?f=x%5E2%2B%282x%5E2-3%29%5E2%3D2)
![x^2+(4x^4-12x^2+9)=2](https://tex.z-dn.net/?f=x%5E2%2B%284x%5E4-12x%5E2%2B9%29%3D2)
![x^2+4x^4-12x^2+9=2](https://tex.z-dn.net/?f=x%5E2%2B4x%5E4-12x%5E2%2B9%3D2)
![4x^4-11x^2+9=2](https://tex.z-dn.net/?f=4x%5E4-11x%5E2%2B9%3D2)
![4x^4-11x^2+7=0](https://tex.z-dn.net/?f=4x%5E4-11x%5E2%2B7%3D0)
![x^4-11x^2+28=0](https://tex.z-dn.net/?f=x%5E4-11x%5E2%2B28%3D0)
![(x^2-7)(x^2-4)=0](https://tex.z-dn.net/?f=%28x%5E2-7%29%28x%5E2-4%29%3D0)
![(4x^2-7)(x^2-1)=0](https://tex.z-dn.net/?f=%284x%5E2-7%29%28x%5E2-1%29%3D0)
![4x^2-7=0](https://tex.z-dn.net/?f=4x%5E2-7%3D0)
![4x^2=7](https://tex.z-dn.net/?f=4x%5E2%3D7)
![x^2=\frac{7}{4}](https://tex.z-dn.net/?f=x%5E2%3D%5Cfrac%7B7%7D%7B4%7D)
![x=\pm\sqrt{\frac{7}{4}}](https://tex.z-dn.net/?f=x%3D%5Cpm%5Csqrt%7B%5Cfrac%7B7%7D%7B4%7D%7D)
![x^2-1=0](https://tex.z-dn.net/?f=x%5E2-1%3D0)
![x^2=1](https://tex.z-dn.net/?f=x%5E2%3D1)
![x=\pm1](https://tex.z-dn.net/?f=x%3D%5Cpm1)
![y=2x^2-3](https://tex.z-dn.net/?f=y%3D2x%5E2-3)
![y=2(\pm\sqrt{\frac{7}{4}})^2-3](https://tex.z-dn.net/?f=y%3D2%28%5Cpm%5Csqrt%7B%5Cfrac%7B7%7D%7B4%7D%7D%29%5E2-3)
![y=2({\frac{7}{4}})-3](https://tex.z-dn.net/?f=y%3D2%28%7B%5Cfrac%7B7%7D%7B4%7D%7D%29-3)
![y=\frac{7}{2}-3](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B7%7D%7B2%7D-3)
![y=\frac{1}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B1%7D%7B2%7D)
![y=2x^2-3](https://tex.z-dn.net/?f=y%3D2x%5E2-3)
![y=2(\pm1)^2-3](https://tex.z-dn.net/?f=y%3D2%28%5Cpm1%29%5E2-3)
![y=2(1)-3](https://tex.z-dn.net/?f=y%3D2%281%29-3)
![y=2-3](https://tex.z-dn.net/?f=y%3D2-3)
![y=-1](https://tex.z-dn.net/?f=y%3D-1)
Therefore,
and ![y=-1,\frac{1}{2}](https://tex.z-dn.net/?f=y%3D-1%2C%5Cfrac%7B1%7D%7B2%7D)
The ordered pair solutions are
,
,
, and
.
10n - 20p + 20
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