Answer:
True False True
Step-by-step explanation:
1. A circle has 360 degrees in its interior. 360 - 130 (this is given) degrees = 230 degrees. This means it's TRUE
2. The area of the shaded sector is the degrees in the central angle that contains the sector, multiplied by the area of the circle. This means that the area is pi*r^2*angle. The radius is 10, and the angle is 230 degrees, so the answer is 100*230/360 pi = 23000/360 pi, which simplifies to 575/9 pi. This is FALSE.
3. The area of the shaded sector is area of the circle - area of the shaded sector. The area of the circle is pi r^2, which is 100 pi. 100 pi - 575/9 pi = 325pi/9, so this is TRUE
Answer:
number line a
Step-by-step explanation:
-6x +18 < 30
-6x < 12
x> -2
Step-by-step explanation:
(3x + 2y =19)(3)
-9x + 8y =-29
9x + 6y = 57 <em><u>NOTE</u></em><em><u>:</u></em> we cross here 9x in first
-9x + 8y = -29 we cross here - 9x in second
Since 9x and - 9x are opposite
___________
6y +8y = 57 - 29
14y = 28
Y=28/14
Y=2
Replace y in second equation of this system:
-9x + 8y = - 29
-9x +8(2)= - 29
-9x + 16 = - 29
-9x = -29 - 16
-9x = - 45
X= -45/-9
X=5
Hope this helps..
Answer:
Domain of y=![\sqrt[4]{x-1}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7Bx-1%7D)
: is x>=1
Interval notation: [1,∞)
Step-by-step explanation:
We have y=
1) The domain of a function is the set of x values for which the function is real and defined.
2) So, x-1 should be positive means x-1>=0, because fourth root of any negative value would be a complex number and not a real number.
3) Now we solve the inequality x-1>=0
4) Adding 1 to both sides of the inequality we get,
x-1+1 > = 0+1
5) Cancel out -1 and +1 from the left side
6) We get x>=1
It concludes that for the domain of the given function, the x value must be greater than or equal to 1
These functions are in the form y=mx+b
Therefore, we know that in g(x) = x+2, the y-intercept is 2.
For f(x) = x-1, the y-intercept is -1.
Now find the difference between them.
2-(-1)= 3
The y-intercept for f(x) is 3 units below g(x)
