Answer:
$33.09
Step-by-step explanation:
hope this helps :)
Answer:
area of rectangle=7×5=35cm²
area of triangle=1/2×4×3=6cm²
Step-by-step explanation:
area of figure=35+6=41 cm²
Answer:
- 8° per hour
Step-by-step explanation:
Given that:
Station A = - 6°
Station B = 2°
Rate of temperature change = x° / hour ; which is the same at both stations
Temperature at station A 3 hours after the recording is the same as the temperature in station B 4 hours after the recording ;
Temperature change in Station A:
-6 + 3x
Temperature change in station B:
2 + 4x
Temperature change in A = temperature change in B
-6 + 3x = 2 + 4x
Collect like terms
3x - 4x = 2 + 6
- x = 8
x = - 8
Hence, the rate of temperature change x in both stations is - 8° per hour
Answer: ![y=-\dfrac{1}{8}(x - 2)^2 - 3](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B8%7D%28x%20-%202%29%5E2%20-%203)
<u>Step-by-step explanation:</u>
The vertex form of a parabola is: y = a(x - h)² + k where
- (h, k) is the vertex
NOTE: p is the distance from the vertex to the focus
The vertex (h, k) is (2, -3)
![p=-2\quad \implies\quad a = \dfrac{1}{4(-2)}=-\dfrac{1}{8}](https://tex.z-dn.net/?f=p%3D-2%5Cquad%20%5Cimplies%5Cquad%20a%20%3D%20%5Cdfrac%7B1%7D%7B4%28-2%29%7D%3D-%5Cdfrac%7B1%7D%7B8%7D)
Insert those values into the vertex formula to get:
![y=-\dfrac{1}{8}(x - 2)^2 - 3](https://tex.z-dn.net/?f=y%3D-%5Cdfrac%7B1%7D%7B8%7D%28x%20-%202%29%5E2%20-%203)