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:
A
Step-by-step explanation:
Step-by-step explanation:
-112.84-54.14-(-29.18)
-112.84-54.14+29.18=-137.8
The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area =
<span>
<span>
<span>
209.4395102393
</span>
</span>
</span>
segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412
</span>
</span>
</span>
triangle DEF Area =
<span>
<span>
<span>
173.206
</span>
</span>
</span>
segment area = <span>
<span>
209.4395102393
</span>
-173.206
</span>
segment area =
<span>
<span>
<span>
36.2335102393
</span>
</span>
</span>
segment area =
36.23 m
Source:
http://www.1728.org/circsect.htm
They're like terms. So it will be 7g as you plus the co-efficient together and you 7 and the g you add it to it.
Answer:
π/4
Step-by-step explanation:
x is the variable
-1 inverts the curve
π/4 is the phase shift or x axis offset
2 is the y axis offset
