Answer:
y= -5x + 2
Step-by-step explanation:
the slope is heading downwards, and down five units for each one across (hence m=5) and the y-intercept is 2 (hence the 2)
Answer:
4 units squared and 6 units squared.
Hope this helps!
Guess this is how it should look like, not sure what the instructions on drawing an x through the segments mean, but hope this helps!
The price of one bag of popcorn is $3.75
Step-by-step explanation:
Let,
x represent the cost of a bag of popcorn
y represent the cost of a drink.
According to given statement;
4x+12y=30 Eqn 1
x+6y=11.25 Eqn 2
Multplying Eqn 2 by 2

Subtracting Eqn 3 from Eqn 1

Dividing both sides by 2

4x+12y=30 and x+6y=11.25 can be used to find the price of one bag of popcorn and the price of one drink.
The price of one bag of popcorn is $3.75
Keywords: linear equation, elimination method
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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.