Answer:
PT= 130
Step-by-step explanation:
Since T is the midpoint of segment PQ,
PT = TQ
7x - 24 = 6x-2
Subtract 6x both sides and add 24 both sides
7x -6x - 24 = 6x -6x -2
x - 24 + 24 = -2 + 24
x= 22
Substitue x into PT
7(22) - 24
154 - 24
PT= 130
For number seven i got 1974m
and for number eight i got 374.13
Answer:
A
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Vertex: (2,1)(2,1)
Focus: (2,54)(2,54)
Axis of Symmetry: x=2
Hope it helped :)
We can apply the following properties of radicals:
![\begin{gathered} \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\Rightarrow\text{ Product property} \\ \sqrt[n]{\frac{a}{b}}=\frac{\sqrt[n]{a}}{\sqrt[n]{b}}\Rightarrow\text{ Quotient property} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Csqrt%5Bn%5D%7Bab%7D%3D%5Csqrt%5Bn%5D%7Ba%7D%5Ccdot%5Csqrt%5Bn%5D%7Bb%7D%5CRightarrow%5Ctext%7B%20Product%20property%7D%20%5C%5C%20%5Csqrt%5Bn%5D%7B%5Cfrac%7Ba%7D%7Bb%7D%7D%3D%5Cfrac%7B%5Csqrt%5Bn%5D%7Ba%7D%7D%7B%5Csqrt%5Bn%5D%7Bb%7D%7D%5CRightarrow%5Ctext%7B%20Quotient%20property%7D%20%5Cend%7Bgathered%7D)
Then, we have:
![\begin{gathered} \text{ Apply the product property} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{7}{8}\cdot\frac{7}{18}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{7\cdot7}{8\cdot18}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\sqrt[]{\frac{49}{144}} \\ \text{ Apply the quotient property} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\frac{\sqrt[]{49}}{\sqrt[]{144}} \\ \sqrt[]{\frac{7}{8}}\cdot\sqrt[]{\frac{7}{18}}=\frac{7}{12} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7B%20Apply%20the%20product%20property%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Ccdot%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B18%7D%7D%3D%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%5Ccdot%5Cfrac%7B7%7D%7B18%7D%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Ccdot%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B18%7D%7D%3D%5Csqrt%5B%5D%7B%5Cfrac%7B7%5Ccdot7%7D%7B8%5Ccdot18%7D%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Ccdot%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B18%7D%7D%3D%5Csqrt%5B%5D%7B%5Cfrac%7B49%7D%7B144%7D%7D%20%5C%5C%20%5Ctext%7B%20Apply%20the%20quotient%20property%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Ccdot%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B18%7D%7D%3D%5Cfrac%7B%5Csqrt%5B%5D%7B49%7D%7D%7B%5Csqrt%5B%5D%7B144%7D%7D%20%5C%5C%20%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B8%7D%7D%5Ccdot%5Csqrt%5B%5D%7B%5Cfrac%7B7%7D%7B18%7D%7D%3D%5Cfrac%7B7%7D%7B12%7D%20%5Cend%7Bgathered%7D)
Therefore, the choice that is equivalent to the given product is: