The difference between "k" and "g" is also the distance between them
thus
![\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) k&({{ -2}}\quad ,&{{ -1}})\quad % (c,d) g&({{ 2}}\quad ,&{{ 8}})\\\\ \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\\\\ -----------------------------\\\\ kg=\sqrt{[2-(-2)]^2+[8-(-1)]^2}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bdistance%20between%202%20points%7D%5C%5C%20%5Cquad%20%5C%5C%0A%5Cbegin%7Barray%7D%7Blllll%7D%0A%26x_1%26y_1%26x_2%26y_2%5C%5C%0A%25%20%20%28a%2Cb%29%0Ak%26%28%7B%7B%20-2%7D%7D%5Cquad%20%2C%26%7B%7B%20-1%7D%7D%29%5Cquad%20%0A%25%20%20%28c%2Cd%29%0Ag%26%28%7B%7B%202%7D%7D%5Cquad%20%2C%26%7B%7B%208%7D%7D%29%5C%5C%5C%5C%0A%0A%5Cend%7Barray%7D%5Cqquad%20%0A%25%20%20distance%20value%0Ad%20%3D%20%5Csqrt%7B%28%7B%7B%20x_2%7D%7D-%7B%7B%20x_1%7D%7D%29%5E2%20%2B%20%28%7B%7B%20y_2%7D%7D-%7B%7B%20y_1%7D%7D%29%5E2%7D%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Akg%3D%5Csqrt%7B%5B2-%28-2%29%5D%5E2%2B%5B8-%28-1%29%5D%5E2%7D)
Assuming 5 is the base. I'm going to leave that out for now.
2log(5x^3) + (1/3)log(x^2+6)
power rule
log(5^2 x^3*2) + log((x^2 + 6)^(1/3))
log(25x^6) + log((x^2 + 6)^(1/3))
quotient rule
log(25x^6 / (x^2 + 6)^(1/3))
Carl's dog weighs 81.65 pounds... i hope this helps:)
Answer:
40 - 2 point questions and 4 - 5 point questions
Step-by-step explanation:
To solve this situation, write two equations. One for the number of questions and one for the number of points.
Let x be the number of 2 point questions.
Let y be the number of 5 point questions.
x + y = 44
Now since x are each worth 2 points, the total points is 2x.
And since y are each worth 5 points, the total points is 5y.
So 2x + 5y = 100. Substitute one of the equations into the other to solve for the variables.
x + y = 44 becomes x = 44 - y. Substitute it.
2(44-y) + 5y = 100
88 - 2y + 5y = 100
88 + 3y = 100
3y = 12
y = 4
Substitute y = 4 back into the equation x = 44 - y to find x.
x = 44 - 4
x = 40
Answer:
D
Step-by-step explanation:
The measure of the inscribed angle RST is half the measure of its intercepted arc, that is
∠ RST = 0.5 × 94° = 47° → D
