Answer:
$30
Step-by-step explanation:
Charlie offers it to 14 teammates 4 of them don't want one.
14-4=10. This means that ten teammates want a picture. A picture costs $10.
10x3=30 So 10 pictures costs 30 dollars.
$30.
The given equation is:
![\frac{q+5}{-3} * \frac{-3q}{q+2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bq%2B5%7D%7B-3%7D%20%2A%20%5Cfrac%7B-3q%7D%7Bq%2B2%7D%20)
Just multiply both numerators and both denominators respectively, with the bar line still between them. So, it becomes
![\frac{(q+5)(-3q)}{(-3)(q+2)} = \frac{-3 q^{2}-15q }{-3q-6} ](https://tex.z-dn.net/?f=%20%5Cfrac%7B%28q%2B5%29%28-3q%29%7D%7B%28-3%29%28q%2B2%29%7D%20%3D%20%5Cfrac%7B-3%20q%5E%7B2%7D-15q%20%7D%7B-3q-6%7D%20%0A)
Then you factor out the equations:
![\frac{-3 q^{2}-15q }{-3q-6} = \frac{-3q(q+5)}{-3(q+2)} ](https://tex.z-dn.net/?f=%5Cfrac%7B-3%20q%5E%7B2%7D-15q%20%7D%7B-3q-6%7D%20%3D%20%5Cfrac%7B-3q%28q%2B5%29%7D%7B-3%28q%2B2%29%7D%20%0A)
Simplify terms by dividing them. The negative sign and 3 cancels out. The answer would be:
Answer:
u = 6
Step-by-step explanation:
When two triangles are similar, one can multiply one side by the ratio of the similitude to get find the length of the corresponding side in its similar triangle. The ratio of similitude can simply be defined as the scaling factor between two similar polygons. One can find the ratio of similitude by dividing two corresponding sides in similar triangles.
It is given that side NP is similar to OP. Therefore;
![\frac{OP}{MP}\\=\frac{10}{5}\\=2](https://tex.z-dn.net/?f=%5Cfrac%7BOP%7D%7BMP%7D%5C%5C%3D%5Cfrac%7B10%7D%7B5%7D%5C%5C%3D2)
The ratio of similitude between the two given triangles is; 2
To find side NP, one must multiply it corresponding side, PL by the ratio of similitude;
PL * 2
= 3 * 2
= 6
R = - 4
t1 = 6
tn = a1*r^(n - 1)
t6 = 6 * (-4)^(6 - 1)
t6 = 6 * (-4)^5
t6 = 6 * (-1024)
t6 = -6144