Answer:
B. -6p-78
Step-by-step explanation:
-5(3p +3) +9(-7 +p) . . . . . given
-15p -15 -63 +9p . . . . . . . use the distributive property to eliminate parens
-6p -78 . . . . . . . . . . . . . . . collect terms
To find which point is NOT on the line y = 5x + 1, we just need to plug each point into equation y=5x+1 to see which one point satisfies this equation.
check for (1,6)
y=5x+1
or 6=5*1+1
or 6=5+1
or 6=6
Which is TRUE.
--------
check for (2,11)
y=5x+1
or 11=5*2+1
or 11=10+1
or 11=11
Which is TRUE.
--------
check for (0,1)
y=5x+1
or 1=5*0+1
or 1=0+1
or 1=1
Which is TRUE.
--------
check for (-1,6)
y=5x+1
or 6=5*(-1)+1
or 6=-5+1
or 6=-4
Which is FALSE.
--------
Since only point (-1,6) fails to satisfy the given equation hence point (-1,6) is the final answer.
C. JM because that line is the height of the triangle
Answer:
(At least) 10 centimeters.
Step-by-step explanation:
The radius of the ice cream scoop is 2.5 cm and the radius of the cone is also 2.5 cm.
We want to determine the height of the cone such that it will fit all of the ice cream when it melts without any spilling.
First, we will find the volume of the ice cream scoop. The volume for a sphere is given by:
Since the radius is 2.5 cm, the volume of the full ice cream scoop is:
The volume of a cone is given by:
The radius of the cone is 2.5 cm. Therefore:
The volume of the cone should be equal to the volume of the scoop. So.
The height of the cone should be (at least) 10 cm.
