The equation would be: y=3x+5
The line crosses the y-axis at 5, so that’s the y-intercept.
The slope is 3 because it goes up by 3 and then 1 to the right, as a fraction it’s 3/1 which is just 3
Answer:
1440
Step-by-step explanation:
We can solve this problem by applying the rule of three.
In fact, we know that:
- Over a package of 210 candies,
- The number of brown candies is 63
- Here we want to find what is the number of brown candies when the total number of candies contained in the package is 4800
So we can set up the following rule of three:

where
x = number of brown candies when the total number of candies contained in the package is 4800
Solving the expression for x, we find:

So, Sarah can expect to find 1440 brown candies in a package of 4800 pieces.
ANSWER:
Let t = logtan[x/2]
⇒dt = 1/ tan[x/2] * sec² x/2 × ½ dx
⇒dt = 1/2 cos² x/2 × cot x/2dx
⇒dt = 1/2 * 1/ cos² x/2 × cosx/2 / sin x/2 dx
⇒dt = 1/2 cosx/2 / sin x/2 dx
⇒dt = 1/sinxdx
⇒dt = cosecxdx
Putting it in the integration we get,
∫cosecx / log tan(x/2)dx
= ∫dt/t
= log∣t∣+c
= log∣logtan x/2∣+c where t = logtan x/2
ABCD is a parallelogram Given
AE=CE, BE=DE <span>The diagonals of a parallelogram are bisect each other
</span>∠AEB=∠CED Vertical angles are congruent
ΔABE is congruent to ΔCDE SAS theorem<span>
</span>