9514 1404 393
Answer:
-0.16
Step-by-step explanation:
The 'a' value can be found by looking at the difference between the y-value of a point 1 unit from the vertex, and the y-value of the vertex.
Here, that is a negative fraction of a unit. If we assume the value is a rational number that can be accurately determined from this graph, then we can find it by looking for a point where the graph crosses a grid intersection. It looks like such grid points are (-7, 0) and (3, 0). The vertex is apparently (-2, 4), so the vertex form of the equation is ...
y = a(x +2)^2 +4
Using the point (3, 0), we have ...
0 = a(3 +2)^2 +4 . . . . . fill in the values of x and y
-4 = 25a . . . . . . . . . . subtract 4; next, divide by 25
a = -4/25 = -0.16
I realise this is quite late but in case you still wanted the answer, the width is 3m.
If the length is 3m longer than the width, you can write the width as x and the length as x + 3. The perimeter would be both lengths and both widths added together, so you would just write it as:
x + x + x + 3 + x + 3 = 18
4x + 6 = 18
- 6
4x = 12
÷ 4
x = 3
I hope this helps!
Answer:
D
Step-by-step explanation:
The volume (V) of the prism is calculated as
V = lbh ( l is length, b breadth and h is height )
Here l = 7, b = 2 and h = 4 , thus
V = 7 × 2 × 4 = 56 in² → D
Answer:
Probability that both such alarms fail is 0.03027
Step-by-step explanation:
Probability the alarm fails = 0.174 (this is calculated by dividing the percentage by 100 like: 17.4/100)
Probability that both such alarms fail = 0.174 * 0.174 = 0.03027
Answer:
36 and 27
Step-by-step explanation:
4+3=7
63/7=9
9x4=36
9x3=27
