Let's apply the Pythagorean theorem to determine whether a triangle could be formed.
Assuming we have two wooden dowels each measuring 8 inches, we can break one dowel in half, resulting in two pieces of 4 inches each.
Now we have three wooden dowels with lengths of 4 inches, 4 inches, and 8 inches.
According to the Pythagorean theorem:
a² + b² = c²
4² + 4² = 8²
16 + 16 = 64
34 ≠ 64
To form a triangle, the length of the cut wooden dowel needs to exceed that of the uncut dowel.
I also visually attempted this exercise on paper, cutting according to the assumed dimensions. No triangle can be constructed with these pieces.
It's option C.
The value escalates threefold compared to the last step.
All other function values increase by a constant amount, resulting in linear behavior
Answer:
Shane must have gathered a minimum of 911 cans.
Step-by-step explanation:
Let S represent the number of cans Shane collected.
Since Abha collected 178 more cans, her total is S + 178.
The combined total should be at least 2000:
S + (S + 178) ≥ 2000
2S + 178 ≥ 2000
2S ≥ 2000 - 178
2S ≥ 1822
S ≥ 911
Therefore, Shane must have collected at least 911 cans.
Response:
In every coordinate plane, the baseline function f(x) = |x| is illustrated by a dashed line while a translation is denoted by a solid line. Which graph depicts the translation g(x) = |x + 2| as a solid line?
In a coordinate plane, the dashed line of the absolute value graph shows a vertex at (0, 0). Meanwhile, a solid line absolute value graph has a vertex at (2, 0).
In a coordinate plane, the dashed line of the absolute value graph has its vertex positioned at (0, 0) while the solid line graph shows a vertex at (0, negative 2).
In a coordinate plane, the dashed line for absolute value has a vertex at (0, 0) while a solid line has a vertex at (negative 2, 0).
In a coordinate plane, the dashed absolute value graph has its vertex at (0, 0) while the solid line version shows a vertex at (0, 2).
Detailed clarification:
I have the same query, please assist.
