p² - 12p = 13
p² - 12p - 13 = 0
p² - 13p + p - 13 = 0
p(p) - p(13) + 1(p) - 1(13) = 0
p(p - 13) + 1(p - 13) = 0
(p + 1)(p - 13) = 0
p + 1 = 0 or p - 13 = 0
- 1 - 1 + 13 + 13
p = -1 p = 13
The solution set of the equation is {-1, 13}.
Answer:
a) P = 6x + 13//
b) i) x = 5//
ii) 9//
Step-by-step explanation:
a) P = 2(x+2) + 2(2x-1) + 3 + 8 m
= 2x+4 + 4x-2 + 3 + 8
= 6x + 13//
b) i) P = 43 m
43 = 6x + 13
43-13 = 6x
<u>3</u><u>0</u> = <u>6</u><u>x</u><u> </u>
6 6
x = 5//
ii) longest side = (2x-1) m
2 × 5 - 1
10-1 = 9//
When you write a scale factor, the units have to be the same. In this case, 9mm on the drawing represents 1 meter on the house. Change 1 meter to millimeters (1m = 1000mm).
9 mm on the drawing represents 1000 mm on the house.
The scale factor is 9 to 1000, or, as a fraction, 9/1000.
If the Hans leave for 3 days, and Tish wants to feed the dogs 3 cans each day, we can solve this problem using simple multiplication.
3 days * 3 cans / 1 day = 9 cans
