Answer:
![x=-\frac{9ln(15)}{2ln(11)-ln(15)}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B9ln%2815%29%7D%7B2ln%2811%29-ln%2815%29%7D)
Step-by-step explanation:
![11^{-2x}=15^{x+9}](https://tex.z-dn.net/?f=11%5E%7B-2x%7D%3D15%5E%7Bx%2B9%7D)
![e^{(-2x)ln(11)}=e^{(x+9)ln(15)](https://tex.z-dn.net/?f=e%5E%7B%28-2x%29ln%2811%29%7D%3De%5E%7B%28x%2B9%29ln%2815%29)
![-2xln(11)=(x+9)ln(15)](https://tex.z-dn.net/?f=-2xln%2811%29%3D%28x%2B9%29ln%2815%29)
![-2xln(11)=xln(15)+9ln(15)](https://tex.z-dn.net/?f=-2xln%2811%29%3Dxln%2815%29%2B9ln%2815%29)
![-2xln(11)-xln(15)=9ln(15)](https://tex.z-dn.net/?f=-2xln%2811%29-xln%2815%29%3D9ln%2815%29)
![x(-2ln(11)-ln(15))=9ln(15)](https://tex.z-dn.net/?f=x%28-2ln%2811%29-ln%2815%29%29%3D9ln%2815%29)
![x=\frac{9ln(15)}{-2ln(11)-ln(15)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B9ln%2815%29%7D%7B-2ln%2811%29-ln%2815%29%7D)
![x=-\frac{9ln(15)}{2ln(11)-ln(15)}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B9ln%2815%29%7D%7B2ln%2811%29-ln%2815%29%7D)
Answer:
62/78*( 1 6/8)
= 31/39*( 1 6/8)
= 31/29*( 1 3/4 )
= 31/39* 7/4
Multiply the numerator together and the denominator together
= 217/156
Step-by-step explanation:
LIKE IT PLS AND 5 STARS
Given:
Number of tickets = 5
Cost of the 5 tickets = $181.25
Let's find the cost of a concert ticket.
To find the cost of a concert ticket, apply the formula below:
![\text{Cost of each ticket = }\frac{\text{Cost of tickets}}{Number\text{ of tickets}}](https://tex.z-dn.net/?f=%5Ctext%7BCost%20of%20each%20ticket%20%3D%20%7D%5Cfrac%7B%5Ctext%7BCost%20of%20tickets%7D%7D%7BNumber%5Ctext%7B%20of%20tickets%7D%7D)
Thus, we have:
![\text{Cost of each ticket = }\frac{181.25}{5}=36.25](https://tex.z-dn.net/?f=%5Ctext%7BCost%20of%20each%20ticket%20%3D%20%7D%5Cfrac%7B181.25%7D%7B5%7D%3D36.25)
Therefore, thecost of a concert ticket is $36.25
ANSWER:
$36.25
Answer:
The dimensions of the rectangle would be a Length of 7 units and a Height of 6 units, or C. 6 units and D. 7 units
Step-by-step explanation:
The <u>dimensions</u> of the rectangle are found by calculating the distance between various corner points. (We can find the distance between any two points if we know their coordinates. So in the figure (of your question):
HEIGHT - of the rectangle is the distance between A and B ( or C,D). The formula for the distance between two points, is (square root) of dx squared (distance in x-coordinates of A,B ) + dy squared (distance in y-coordinates of A,B)
AB =
= 7.2
WIDTH - is the distance between B and C (or A,D). The formula for the distance between two points, is (square root) of dx squared (distance in x-coordinates of B,C) + dy squared (distance in y-coordinates of B,C)
BC =
= 6.3
LENGTH of a DIAGONALS is the distance between opposite corners, say B and D (or A,C since the diagonals are congruent).
BD =
= 9.5