Answer:
PT = 14
Step-by-step explanation:
Given that T is the midpoint of PQ, then
TQ = PT ← substitute values
5x - 6 = 3x + 2 ( subtract 3x from both sides )
2x - 6 = 2 ( add 6 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Hence
PT = 3x + 2 = (3 × 4) + 2 = 12 + 2 = 14
Answer:
10, 26, 74, 218, 650
Step-by-step explanation:
n * 3 - 4
Answer:
4x² -4xy -4y -4
Step-by-step explanation:
![\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}](https://tex.z-dn.net/?f=%5Cboxed%7B%20%7Ba%7D%5E%7B2%7D%20%20-%20%20%7Bb%7D%5E%7B2%7D%20%20%3D%20%28a%20%2B%20b%29%28a%20-%20b%29%7D)
In this case, a= 2x -y and b= y +2.
(2x -y)² -(y +2)²
= (2x -y +y +2)[2x -y -(y +2)]
= (2x +2)(2x -y -y -2)
= (2x +2)(2x -2y -2)
= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) <em>(expand)</em>
= 4x² -4xy -4x +4x -4y -4
= 4x² -4xy -4y -4
Alternatively, start by expanding the brackets.
![\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }](https://tex.z-dn.net/?f=%5Cboxed%7B%28a%20-%20b%29%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20-%202ab%20%5C%3A%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%20%7D)
![\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }](https://tex.z-dn.net/?f=%5Cboxed%7B%28a%20%2B%20b%29%5E%7B2%7D%20%20%3D%20%20%7Ba%7D%5E%7B2%7D%20%20%2B%202ab%20%5C%3A%20%20%2B%20%20%7Bb%7D%5E%7B2%7D%20%7D)
(2x -y)² -(y +2)²
= 4x² -4xy +y² -(y² +4y +4)
= 4x² -4xy +y² -y² -4y -4 <em>(</em><em>expand</em><em>)</em>
= 4x² -4xy -4y -4 <em>(</em><em>simplify</em><em>)</em>
problem ~ ( 2x^2 ) ( 4x^3 y^2 )
answer ~ 2^3 x^5 y^2
step by step
(2* (x^2)) * (2^2 x^3 * y^2)
2x^2 * 2^2 x^3 y^2
x^2 multiplied by 2^2 = 2^(1+2) = 2^3
2^3 x^5 y^2
36) the equation would be: 44 x 0.63 =
37) 6.1% = 0.061
59150 x 0.061 = 3608.15 increase