Answer:
1) y=12 and 2) (0,12) and (18,0)
Step-by-step explanation:
1) y intercept is when x=0, so 3y=36, y=12
2) the equation of line is y=-(2/3)x+18, so the answer is (0,12) and (18,0)
Answer:
<u>70 square units</u>
Step-by-step explanation:
<em>I have plotted the points on the coordinate system and connected roughly using a red line. Image is attached. </em>
The arrow created, consists of a TRIANGLE and a RECTANGLE. The area of the arrow would be:
Area of Arrow = Area of Triangle + Area of Rectangle
Area of Triangle = 0.5 * base * height
Base is 12 units
Height is 7 units, so
Area of Triangle = 0.5 * 12 * 7 = 42
Now,
Area of Rectangle = length * height
Length is 7
Height is 4
Area of Rectangle = 7 * 4 = 28
<u>Area of Arrow = 42 + 28 = 70 square units</u>
Answer:
The conditional statement "∀x, If x is an insect, then x has six legs" is derived from the statement "All insects have six legs" using "a. existential" generalization
Step-by-step explanation:
In predicate logic, existential generalization is a valid rule of inference that allows one to move from a specific statement, or one instance, to a quantified generalized statement, or existential proposition. In first-order logic, it is often used as a rule for the existential quantifier in formal proofs.