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.

5 0

3 years ago

Zhao Co. has fixed costs of $416,000. Its single product sells for $185 per unit, and variable costs are $121 per unit. Compute

lions [1.4K]

9514 1404 393

Answer:

8,500 units

Step-by-step explanation:

The contribution margin from each unit is ...

$185 -121 = $64

To accumulate a total contribution that will cover the fixed costs and the desired income, you require sales of ...

($416,000 +128,000)/($64/unit) = 8,500 units

8 0

2 years ago

Help!!! il give brainlist

Elden [556K]

Answer:

Step below

Step-by-step explanation:

Line pass (-3 , 2) and slope = 4

y intercept (b) = y - mx = 2 - 4*(-3) = 14

y intercept: (0 , 14)

equation: y = 4x + 14

Any point on this line could be answer. x=1, y=18 (1,18) (2,22), (3,26) .....

4 0

2 years ago

Find the work done in winding up a 175 ft cable that weighs 3 lb/ft.

nignag [31]

Answer:

$work \ done= 45937.5$

Step-by-step explanation:

Work done is given by

$work \ done=\int_a^b w(d-x) \ dx$ , where d = length of cable and w = weight of cable.

Here, d = 175 ft and w = 3 lb/ft

Now, $work \ done=\int_0^{175} 3(175-x) \ dx$

$work \ done= 3\left [175x-\frac{x^2}{2} \right ]_0^{175}$

$work \ done= 3\left [175^2-\frac{175^2}{2} \right ]$

$work \ done= 3\cdot \frac{175^2}{2}$

$work \ done= 45937.5$

8 0

3 years ago