Answer: -35+24p
Step by step in picture below
Point slope form = y - y1 = m (x - x1)
y - 5 = -1 (x -(-1))
y - 5 = -1 (x+1)
Hope this helps :)
2c. flour
1/3teaspoon salt
1/4c 3Tablespoon 2/3teaspoon sugar
2 1/4 c. 2 Tablespoon 1 1/5 teaspoon fruit (or make it easy and take out 1/5 teaspoon fruit to just leave 1 teaspoon fruit)
1 1/5 teaspoon butter.
For the segment DE to be the midsegment of the triangle ABC, the point D must cut AB in two equal halves, and point E must cut AC in two equal halves as well, that way, DE touches both ends right in the middle
and that can only occur if AD is 4 (half of 8) and AE is 3 ( half of 6)
Answer:
<u>Part 1:</u> Angle = 154.3°
<u>Part 2:</u> About 2.33 Rotations
Step-by-step explanation:
Part 1:
The arc length of a circle is given by the formula 
Where
- s is the arc length
- r is the radius of the circle
is the angle
**The angle are in radians and we will use radian**
When smaller gear has made 1 complete rotations (
radians), the arc length traveled is 
Now, what angle is swept by the larger circle when it travels
? Put in
and r is 7 to find
:

** Since
radians is 180°, we plug in 180 into
and find the degree measure:

Angle = 154.3°
Part 2:
In one complete rotation of the larger gear, it travels a distance of:

We know that the smaller circle makes 1 rotation and travels
, so in
distance, it makes:
Rotations = 
About 2.33 Rotations