Answer:
D
Step-by-step explanation:
To find the radius of the circle with equation x2 + y2 – 14x + 10y = 250, convert the equation into vertex-form (x - h)² + (y-k)² = r². Convert by completing the square for x² - 14x and y² + 10y.
Complete the square by dividing each term -14x and 10y in two. Then square each.
-14/2 = -7 and -7² = 49
10/2 = 5 and 5² = 25
The equation becomes x² - 14x + 49 + y² + 10y + 25 = 250 + 49 + 25.
We simplify the equation into (x-7)² + (y + 5)² = 324.
324 is the value of radius squared. Take the square root to find the radius.
√324 = 18
The radius is 18 units.
Answer:
$840 dollars
Step-by-step explanation:
Divide 540 by 9 to get the cost of 1 book then multiply it by 14
Answer: B) -2.24
Step-by-step explanation:
0.27 = 3/x...multiply both sides by x
0.27x = 3...divide both sides by 0.27
x = 3/0.27 =
11.11 <==
Answer:
B. 0.075 in
Evan apparently divided by time. He might do that if he were not paying attention to units.
Step-by-step explanation:
The given rainfall rate is ...
... (1.5 in)/(60 s) = (1/40) in/s = 0.025 in/s
To find the rainfall in 3 s, you need to multiply rate by time:
... (0.025 in/s)×(3 s) = 0.075 in
If you keep the rate and time in terms of minutes, then you have:
... (1.5 in/min)×(0.05 min) = 0.075 in
_____
Evan apparently divided, instead. His number is not inches.
... (1.5 in/min)/(0.05 min) = 30 in/min² . . . . not the appropriate units for the problem