Answer:
20 units²
Step-by-step explanation:
The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at
1.5 ± 5/2 = {-1, 4}
Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...
0 = a(4 -1.5)² +12.5
0 = 6.25a +12.5 . . . . . simplify
0 = a +2 . . . . . . . . . . . divide by 6.25
-2 = a
Then the standard-form equation of the parabola is ...
y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5
y = -2x² +6x +8
This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...
A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²
Answer:
3872/(x^2 - 2)
Step-by-step explanation:
Simplify the following:
(16^3 - 3^2 - 5×43)/(x^2 - 2)
3^2 = 9:
(16^3 - 9 - 5×43)/(x^2 - 2)
16^3 = 16×16^2:
(16×16^2 - 9 - 5×43)/(x^2 - 2)
| 1 | 6
× | 1 | 6
| 9 | 6
1 | 6 | 0
2 | 5 | 6:
(16×256 - 9 - 5×43)/(x^2 - 2)
16×256 = 4096:
(4096 - 9 - 5×43)/(x^2 - 2)
43 (-5) = -215:
(4096 - 9 + -215)/(x^2 - 2)
4096 - 9 - 215 = 3872:
Answer: 3872/(x^2 - 2)
Answer:
The area of building c minus the area of building b equals the area of building a might be correct?
Answer:
(0, 3)
Step-by-step explanation:
In slope intercept form, the y-intercept is the "b" or, in an example:
y = mx + b
- m is the slope
- b is the y-intercept
In our first equation, the b is 0 (y=-3/2x, there is no +/- b, so it is 0). If we add positive 3 (up 3 units) then the y-intercept will be 3. This, in a point, is shown with (0, 3) because the y-intercept is where the line hits the y-axis when x is 0.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
<em>(c) Rs. 1500</em>
Step-by-step explanation:
Percentages
It's given Kamal spent 40% of his income. With the remaining 60%, he deposited Rs. 400 in a bank and still has Rs. 500 left.
This means Rs. 400 + Rs. 500= Rs. 900 is 60% if his income.
The 100% of his income is calculated as a percent proportion:
If 60% is Rs. 900, then 100% is:
Thus, Kamal's income is Rs. 1500. Correct choice: (c) Rs. 1500
