Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
Answer:
THE FIRST OPTION
Step-by-step explanation:
Answer:
L = √(5² + 10² + 7²) = √174 in
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Let the number of the kitchen clock sold =a
Let the number of the cuckoo clock sold =b
Let the number of the two-foot high grandfather clocks sold =c
The new saleswoman sold at least two of each of the three models.
Therefore:

In all, she collected $300 from selling these models alone
17a+31b+61c=300
17(2)+31(2)+61(2)=218
300-218=82
Next, we try to express the remainder (82) in terms of 17, 31 and 61
82=17(3)+31
Therefore, she sold:
- 5 kitchen clocks
- 3 cuckoo clocks
- 2 two-foot high grandfather clocks
She sold 5 $17 clocks.
CHECK:
17(5)+31(3)+2(61)=$300