Convert all to decimals
1/4=0.25
1/2=0.5 so
2 and 1/2=2.5
3=3
-1 and 1/4=-1.25
4 and 1/4=4.25
1 and 1/4=1.25
-1 and 1/2=-1.5
add all together
2.5+3-1.25+4.25+1.25-1.5=8.25=8 and 1/4
answer is 8 and 1/4
B is correct answer
(note, previous user's answer was correct, but had no work shown)
Answer:
10
Step-by-step explanation:
-3 = 7 - x
Add x to both sides
x -3 = 7 - x +x
x - 3 = 7
Now, add 3 to both sides
x - 3 + 3 = 7 + 3
x = 10
Answer: 4.5
<u>Step-by-step explanation:</u>
First, find the points of intersection by solving the system.
y = x² + 2x + 4
y = x + 6
Solve by substitution:
x² + 2x + 4 = x + 6 ⇒ x² + x - 2 = 0 ⇒ (x + 2)(x - 1) = 0 ⇒ x = -2, x = 1
Now, integrate from x = -2 to x = 1
<em>the bottom of the integral is -2 </em>
=
=
= 
= 
= 
= 
= -3 + 1.5 + 6
= 4.5
Answer:
radians
Step-by-step explanation:
Arc length and radius is given. So, we need to know the arc length formula for a circle.
That is:

Where s is the arc length
r is the radius
is the angle (IN RADIANS)
We have:
s = 15.5
r = 9
Now, we substitute and find the angle:

The angle, in radians, in 1.72
Area of a circe = Pi x radius^2