The rate of temperature rise is 2 degrees/minute.
The relation between temperature and time is of the form
y = 2x + b
where
x = time, minutes,
y = temperature, Celsius
When x = -4 min, y = - 4°C because the temperature was - 4°C 4 minutes ago. Currently, x = 0.
Therefore
-4 = 2(-4) + b
-4 = - 8 + b
4 = b
Part A
The relation is y = 2x + 4
Part B
When x = 15 (15 minutes from now), the temperature will be
y = 2(15) + 4 = 34°C
Answer: 34°C
Answer: B
Explanation: No triangle can be formed.
According to the triangle inequality theorem, the sum of any two sides must be greater or equal than the length of the third side.
Here, the sides are 14 cm, 8 cm, and 5 cm.
14cm + 8 cm = 22 cm > 5cm (theorem followed)
14 cm + 5 cm = 19 cm > 8 cm (theorem followed)
8 cm + 5 cm = 13 cm < 14 cm (theorem not followed)
Since, the triangle inequality theorem is not followed, Hence, no triangle can be formed.
Answer:
see explanation
Step-by-step explanation:
The perimeter P is the sum of the 4 sides of the rectangle.
The opposite sides of the rectangle are congruent , then
P = 2x + 1 + 2x + 1 + x + x ← collect like terms
P = 6x + 2
Answer:
6
Step-by-step explanation:
If V = IR, then V = 40 * 3 in this case, which means V = 120. Quote question, "Assume voltage remains constant." This means V still equals 120 in the second scenario, which we can input into I = V / R to make I = 120 / 20 = 6.
Hope this helps!
AB is 10 units long, so a ratio of 2:3 translates to 4:6 in units.
4 units ahead of A is 4+4 = 8
The answer is (8, 1)