Answer:
This is so easy
Let me explain:
first lets find out (f+g)(x)=-x+3x+5+x^2+2x=
x^2+4x+5 this is the equation of a parabola because we have x^2
so only the first graph shows us a parabola
which remains the right one.
Answer:

Step-by-step explanation:
I assume that the three points given are the vertices of the triangle. So the three points are:
A (-4,1)
B (-7,5)
C (0,1)
The area of a triangle is given by:

where b is the base and h is the height.
Here we can take as follows:
- We can take the base to be the side AC, so that its length is equal to the distance between the two points:

- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:

Therefore, the area of the triangle is:

Answer:
d) angle 6 is alternate interior angle to angle 3
e) angle 2 is alternate exterior angle to angle 7
So it’s A
in all the other ones we can see that the angles in the same position as x and 75 are all equal
and because the question tells us that they are all structured the same with p and f being parallel we can assume x is equal to what’s congruent to it
there is a rule that states this
cap congruent angle postulate i believe
which states that if two parallel lines are cut by a transversal, then corresponding angles are congruent
The formula for the volume of a sphere is

. Plugging in 4.7 for your radius, we get

, which is roughly 29.453π≈92.530.