Answer:
3/2
Step-by-step explanation:
Slope 1 = (-1+7)/(-5-4) = 6/(-9) = -2/3
Slope 2 perpendicular to Slope 1 :
-1 ÷ -⅔ = 3/2
Answer:
37.8
Step-by-step explanation:
The distance is the addition of all sides of the figure. Then, we need to find the length of the diagonal (d). To do that we have to make a right triangle with height (h) = 5 m. Given that the top length is 12 m and the bottom length is 15 m, the base (b) of the triangle is 15 - 12 = 3 m
Using Pythagorean theorem:
d² = h² + b²
d² = 5² + 3²
d = √34
d = 5.8 m
Therefore, the distance he will have walked is 5.8 + 12 + 15 + 5 = 37.8 meters
Answer:
The group will end up with 12 1/2 of yarn in total.
Answer:
See below
Step-by-step explanation:
To write informal negations, change the existential quantifiers "some, there exists" for universal quantifiers "All, for every" and viceversa. Then write the informal negation of the statement after the quantifiers:
1) Some suspicions were unsubstantiated.
2) Some suspicions were substantiated.
3) All suspicions were substantiated.
4) No suspicions were unsubstantiated. Equivalently, Every suspicion was substantiated.
5) No suspicions were substantiated. Equivalently, Every suspicion was unsubstantiated.