Answer:
a = 3
Step-by-step explanation:
Calculate the distance d using the distance formula and equate to 4
d = ![\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_%7B2%7D-x_%7B1%7D%29%5E2%2B%28y_%7B2%7D-y_%7B1%7D%29%5E2%20%20%20%20%7D)
with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)
d =
=
=
= a + 1 then
a + 1 = 4 ( subtract 1 from both sides )
a = 3
Answer:
![y^{\frac{3}{2}](https://tex.z-dn.net/?f=y%5E%7B%5Cfrac%7B3%7D%7B2%7D)
Step-by-step explanation:
Let ![m=\sqrt{y^3}](https://tex.z-dn.net/?f=m%3D%5Csqrt%7By%5E3%7D)
![m=(y^3)^{\frac{1}{2}}\\\\m=y^{3\times \frac{1}{2}}\ \ \ \ \ \ \ \ \ [as\ (x^a)^b=x^{ab}]\\\\m=y^{\frac{3}{2}](https://tex.z-dn.net/?f=m%3D%28y%5E3%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%5C%5C%5C%5Cm%3Dy%5E%7B3%5Ctimes%20%5Cfrac%7B1%7D%7B2%7D%7D%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5C%20%5Bas%5C%20%28x%5Ea%29%5Eb%3Dx%5E%7Bab%7D%5D%5C%5C%5C%5Cm%3Dy%5E%7B%5Cfrac%7B3%7D%7B2%7D)
24 is the answer for(3)=8
15 is the answer for (3)=5
The trick question is that you can’t effect an unknown value because you don’t know what number it is, it has to be a known value, there is nothing that you can do to figure it out, so it’s unknown and cannot be effected.
Answer:
The statement is false. Exterior angles are the angles created when the sides of the triangle are extended
Step-by-step explanation:
In order to find the exterior angle of a polygon, the side of the polygon is extended to go past the vertex of the polygon to form an angle adjacent and supplementary to the the interior angle of the polygon at the vertex of the polygon where the exterior angle is formed.
The sum of the exterior angle and the adjacent interior angle is equal to 180°
The exterior angle can also be described as being formed by one side of a polygon and an extension of the adjacent side to previous side of the same polygon and it can also be referred to as a turning or an external angle.