Answer:
The Brooks conjecture is true as the proportion of the area of a sector to the area of a circle is only dependent on the angle.
Step-by-step explanation:
The area of a sector for a radius r and an angle θ is given as

Whereas the area of a circle for a radius r is given as

Now the ratio is given as

Here as r is the radius of the circle and it is the same therefore the above ratio is simplified to

Here as π is constant the only variable here is θ. Thus according to Brooks conjecture when the angles are equal, the proportion of area of each sector relative to the area of the given circle is also equal is true.
Answer:
y = 3x + 2; y = -x + 4
Step-by-step explanation:
Slope intercept form is in y = mx + b, where m is the slope and b is the y-intercept. In the first image, 2 is the y-intercept and 3 is the slope, yielding the equation y = 3x + 2.
For the second, 4 is the y-intercept and -1 is the slope, so the answer to the second image is y = -x + 4.
Answer:
Well I think it is A because domain is the x values.
Step-by-step explanation:
So when you plug this in your calculator (mine is a ti-84 plus ce) you would hit graph. After it graphs it press Zoom, 0 to center it then press 2nd, trace which pulls up parabola menu's. Press 0 and find the left bound, right bound and then press enter which would give you x values of 2.9375 < t< 6
At the same time I don't know if this is right. I never really excelled at parabolas just trying to help.
Answer:
Ok I got it it’s 50
Step-by-step explanation:
because To divide by
1
5
, multiply by its reciprocal, 5.
10÷
1
5
= 105
= 50