<h3>
Answer: Choice D</h3>
Explanation:
Start at the arrow tip. Move vertically until reaching the x axis. You'll arrive at x = 7 which is the x component of the vector.
Go back to the arrow tip. This time move horizontally until reaching the y axis, so you should arrive at y = -6
Therefore the vector is 
which is in a column vector format. A row vector would have the numbers listed horizontally.
Put another way, the arrow tip is at the point location of (7,-6). This leads directly to the column vector mentioned in the previous paragraph.
Answer:
-18
Remember PEMDAS.
Step-by-step explanation:
Answer:
See attachment
Step-by-step explanation:
The given inequality is
We multiply both sides by -2 and reverse the inequality sign to get:
We draw an open circle at 32 and draw an arrow to the right as shown in attachment.
Answer:
5 pigs
Step-by-step explanation:
A farmhouse shelters 16 animals, some are pigs, and some are ducks. Altogether there are 42 legs. How many pigs are there?
Let us represent:
Number of pigs = x
Number of ducks = y
Our system of equations is given as:
A farmhouse shelters 16 animals, some are pigs, and some are ducks.
x + y = 16...... Equation 1
x = 16 - y
Altogether there are 42 legs.
Ducks have 2 legs(feet) , pigs have 4 legs,
4x + 2y = 42..... Equation 2
We substitute
16 - y for x in Equation 2
Hence:
4(16 - y) + 2y = 42
64 - 4y + 2y = 42
Collect like terms
- 4y + 2y = 42 - 64
-2y =- 22
y = -22/-2
y = 11 ducks
Solving for x.
x = 16 - y
x = 16 - 11
x = 5 pigs
Therefore, we have 5 pigs
