Answer:
A. 36.74 B. 38.94
Step-by-step explanation:
48.99×0.25=12.55 48.99-12.25=36.74×.06=2.20 36.74+2.20=38.94
Answer:
Yes.
(4,5)
Step-by-step explanation:
Yes because the entrance and the lake are 18 units away from each other for quadrant 3. Putting the recycling station in Quadrant I,
it will also be 18 units away from each other, therefore it is the same distance either way.They can put the recycling station in quadrant I, (4,5)
Solution is (1,1) where two lines intersect
Answer:
C. 
Step-by-step explanation:
BD = DC because angles ADC and ADB are right angles.
Thus, 
Add 5 to both sides:


Subtract 2x from both sides:


Divide both sides by 2:


DC 



Answer:
The determinant is 15.
Step-by-step explanation:
You need to calculate the determinant of the given matrix.
1. Subtract column 3 multiplied by 3 from column 1 (C1=C1−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&3&1\\-5&5&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%263%261%5C%5C-5%265%263%5Cend%7Barray%7D%5Cright%5D)
2. Subtract column 3 multiplied by 3 from column 2 (C2=C2−(3)C3):
![\left[\begin{array}{ccc}-25&-23&9\\0&0&1\\-5&-4&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-25%26-23%269%5C%5C0%260%261%5C%5C-5%26-4%263%5Cend%7Barray%7D%5Cright%5D)
3. Expand along the row 2: (See attached picture).
We get that the answer is 15. The determinant is 15.