<u>Solution</u><u>:</u>
- When, you rotate a picture by 180°, we rotate it by half of a full circle.
- The first picture is the original picture.
- The second picture is the image when it is rotated by 90°.
- The third picture is the images when, it is rotated once more by 90°. This image is the rotation of the image around P by 180°.
- So, the answer will be option A.
<u>Answer</u><u>:</u>
<u>Option </u><u>A.</u>
Hope you could understand.
If you have any query, feel free to ask.
Answer:
First part = 2.
Time to land = 6 seconds.
Step-by-step explanation:
The object is at h = 0 when it land so
-5x^2 + 20x + 60 = 0
-5(x^2 - 4x) = -60
-5[(x - 2)^2 - 4] = -60
(x - 2)^2 - 4 = -60/-5 = 12
(x - 2)^2 = 16.
Solving the above:
Take the square root of both sides:
x - 2 = 4
x = 2 + 4
x = 6 seconds
Answer:
19
Step-by-step explanation:
228 divided by 12 is 19.
1. x^2 + 13x + 36 = 0
using powerful & time-sparing quadratic formula :
delta = 13^2 - 4*1*36 = 25 = 5^2
x1 and x2 = (-13 -/+ 5)/2 = -9 and -4
x^2 + 13x + 36 = (x+9)(x+4)
2. other way : complete the square
b^2 + 12b + 32 = b^2 + 2*6b + 6^2 - 6^2 + 32
b^2 + 12b + 32 = (b+6)^2 - 4
b^2 + 12b + 32 = (b+6-2)(b+6+2) = (b+4)(b+8)
3. other way : -4 "ovious" solution : (-4)^2 - (-4) -20 = 0
so the other is : -4 . a2 = -20/1 ---> a2 = 5
a^2 - a - 20 = (a-5)(a+4)
