Replace the second equation y=3x+4 into the first one:
2(3x+4)+5x=30
Now solve for x:
6x+8+5x=30
11x=30-8
11x=22
x=22/11
x=2
Finally, replace x=2 into y=3x+4
y=3*2+4
y=6+4 = 10
So the anwer is x=2, y=10
Answer:
-1/2 or -0.5
negative half
Step-by-step explanation:
slope of regular line= (y1-y2) / (x1-x2)
(27-3) / (4 - -8)
24 / (4+8)
24 / 12 = 2
the slope of a perpendicular line is the negative reciprocal
the negative reciprocal of positive 2/1 (2 as a fraction) is:
negative half: -1/2 or -0.5
Step-by-step explanation:
first box on the left
r=4
d=8
circumference= 2π*4= 8π
area = π*4*4= 16π
Second box on the left
d=6
r= 3
circumference= 2π*3= 6π
area =π*3*3= 9π
third box on the left
A=36π
A=36πarea= π*r*r
A=36πarea= π*r*rr= 6
A=36πarea= π*r*rr= 6d=12
A=36πarea= π*r*rr= 6d=12circumference= 2π*6= 12 π
the last box
C=18π
C=18πC= 2π*r
C=18πC= 2π*rr= 9
C=18πC= 2π*rr= 9d=18
C=18πC= 2π*rr= 9d=18area= π*9*9= 81π
The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying 
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying 
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere 
cubic cm.
The volume of the half-sphere 
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume 
cub cm. This is closest to the third option 385.17 cubic centimeters.
Answer:
for part a i think it is the second one sorry if i do get it wrong and i couldnt answer the last one sorry
Step-by-step explanation:
