Answer:
=k=0.25h-7/12
Step-by-step explanation:
4(h-3k)=h+7
=4h-12k=h+7
collecting like terms and leaving characters with k on 1 side, we get;
12k=3h-7
=k=0.25h-7/12
The prime numbers are 17, 19, 23, 29, 31, and 37
Prime number - A number thats only factors are 1 and itself
Answer:
![[B]=2](https://tex.z-dn.net/?f=%5BB%5D%3D2)
Step-by-step explanation:
![B=\left[\begin{array}{ccc}3x-5&-3+2y\\11-3x&2y-5\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3x-5%26-3%2B2y%5C%5C11-3x%262y-5%5Cend%7Barray%7D%5Cright%5D)
With 
and 
![B=\left[\begin{array}{ccc}3(3)-5&-3+2(4)\\11-3(3)&2(4)-5\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%283%29-5%26-3%2B2%284%29%5C%5C11-3%283%29%262%284%29-5%5Cend%7Barray%7D%5Cright%5D)
![B=\left[\begin{array}{ccc}9-5&-3+8\\11-9&8-5\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9-5%26-3%2B8%5C%5C11-9%268-5%5Cend%7Barray%7D%5Cright%5D)
![B=\left[\begin{array}{ccc}4&5\\2&3\end{array}\right]](https://tex.z-dn.net/?f=B%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%265%5C%5C2%263%5Cend%7Barray%7D%5Cright%5D)
solving the determinant of matrix B
![[B]=\left[\begin{array}{ccc}4&5\\2&3\end{array}\right]=(4.3-5.2)=(12-10)=2](https://tex.z-dn.net/?f=%5BB%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D4%265%5C%5C2%263%5Cend%7Barray%7D%5Cright%5D%3D%284.3-5.2%29%3D%2812-10%29%3D2)
Distance from a point to a line (Coordinate Geometry)
Method 1: When the line is vertical or horizontal
, the distance from a point to a vertical or horizontal line can be found by the simple difference of coordinates
. Finding the distance from a point to a line is easy if the line is vertical or horizontal. We simply find the difference between the appropriate coordinates of the point and the line. In fact, for vertical lines, this is the only way to do it, since the other methods require the slope of the line, which is undefined for evrtical lines.
Method 2: (If you're looking for an equation) Distance = | Px - Lx |
Hope this helps!
Question:
A grocery store has 120 bottles of spring water in stock. The store orders bottles of spring water in cases of 24. The store wants to order enough cases of spring water so it has more than 500 bottles in stock. Which inequality best models this situation?
A. 24x + 120 > 500
B. 24x - 120 > 500
C. 24x + 500 > 120
D. 24(x+120) > 500
Answer:
Option A. 24x + 120 > 500 is the inequality that best models this situation.
Step-by-step explanation:
The Number of bottles of spring water in the stock = 120
Each case of the spring water bottles contains 24 bottles
The store wants to order enough cases of spring water so that it has over 500 bottles in stock.
So there are already 120 bottles in stock .
The store will order
24x +120 > 500
where x is the number of spring water bottle cases
