Answer: B) Circle
<u>Step-by-step explanation:</u>
First, complete the square:
x² + 2x + <u> 1 </u> + y² - 8y + <u> 16 </u> = 13 + <u> 1 </u> + <u> 16 </u>
↓ ↑ ↓ ↑
(2/2) = (1)² (-8/2) = (-4)²
(x + 1)² + (y - 4)² = 30
The result is a circle whose center is (-1, 4) and radius is √30
Assuming the keypad has all 26 letters and the numbers 1-9 there are 2106 possible codes
9x9x26=2106
Step-by-step explanation:
x³ + x² − 14x − 24
x³ + x² − 20x + 6x − 24
x (x² + x − 20) + 6 (x − 4)
x (x + 5) (x − 4) + 6 (x − 4)
(x (x + 5) + 6) (x − 4)
(x² + 5x + 6) (x − 4)
(x + 2) (x + 3) (x − 4)
The other two factors are x + 2 and x + 3.
Answer:
i hope this helps :)
Step-by-step explanation:
So, with an equation with decimals, we can use the same method we used to clear fractions—multiply both sides of the equation by the least common denominator. Look at the decimals and think of the equivalent fractions. Notice, the LCD is 100. By multiplying by the LCD, we will clear the decimals from the equation.
Answer: 56 oranges
Step-by-step explanation:
In a sample of 25 oranges, 2 oranges weigh 5 ounces.
Proportionally represented, that would be:
= 2 / 25
Assuming the 25 is representative for all 700 oranges, the number of oranges that can be expected to weigh 5 ounces from the shipment is:
= Proportion of 5 ounces oranges from sample * Total number of oranges
= 2/25 * 700
= 56 oranges
