-2k+4=10
1st, subtract 4 from both sides so that it'll cancel out. -2k=6
2nd. divide by -2. K=-3
Answer:
x = 3
Step-by-step explanation:
f(x) = g(x)
![6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0](https://tex.z-dn.net/?f=6x%5E%7B2%7D%20%20-%2054x%20%2B%20100%20%3D%20-3x%5E%7B2%7D%20%2B%2019%5C%5C9x%5E%7B2%7D%20%20-%2054x%20%2B%2081%20%3D%209%28x%5E%7B2%7D%20%20-%206x%20%2B%209%29%20%3D%200)
9(x - 3)(x - 3) = 0
x = 3
![\boldsymbol{\sf{-3b-15 > -24 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-3b-15%20%3E%20-24%20%7D%7D)
Add 15 to both sides.
![\boldsymbol{\sf{-3b > -24+15 \ \longmapsto \ \ \ [Add \ -24+15] }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B-3b%20%3E%20-24%2B15%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20%5BAdd%20%5C%20-24%2B15%5D%20%7D%7D)
![\boldsymbol{\sf{ -3b > -9}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%20-3b%20%3E%20-9%7D%7D)
Divide both sides by −3. Since −3 is < 0, the inequality direction is changed.
![\boldsymbol{\sf{b < \dfrac{-9}{-3} \ \ \longmapsto \ \ [Split] }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bb%20%3C%20%5Cdfrac%7B-9%7D%7B-3%7D%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5BSplit%5D%20%7D%7D)
![\red{\boxed{\boldsymbol{\sf{Answer \ \ \longmapsto \ \ \ b < 3}}}}](https://tex.z-dn.net/?f=%5Cred%7B%5Cboxed%7B%5Cboldsymbol%7B%5Csf%7BAnswer%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20b%20%3C%203%7D%7D%7D%7D)
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Answer:
11.34
Step-by-step explanation:
14% × 81 =
(14 ÷ 100) × 81 =
(14 × 81) ÷ 100 =
1,134 ÷ 100 =
11.34;
Answer:
<h2>
90°</h2>
Option D is the correct option
Step-by-step explanation:
As RT is a tangent on point P, so it will form a right angle at point P with the radius.
So, angle APT = 90 degrees.
Hope this helps...
Good luck on your assignment...