Answer:
Step-by-step explanation:
2(3x−5)+4x−10=4x+2(x+6)
Step 1: Simplify both sides of the equation.
2(3x−5)+4x−10=4x+2(x+6)
(2)(3x)+(2)(−5)+4x+−10=4x+(2)(x)+(2)(6)(Distribute)
6x+−10+4x+−10=4x+2x+12
(6x+4x)+(−10+−10)=(4x+2x)+(12)(Combine Like Terms)
10x+−20=6x+12
10x−20=6x+12
Step 2: Subtract 6x from both sides.
10x−20−6x=6x+12−6x
4x−20=12
Step 3: Add 20 to both sides.
4x−20+20=12+20
4x=32
Step 4: Divide both sides by 4.
4x/4 =32/4
x=8
Answer:
Option D The solution of the system is the point (-3,5)
Step-by-step explanation:
we have
x+y=2 -----> equation A
y=-2x-1 ------> equation B
Solve the system by substitution
Substitute the equation B in equation A and solve for x
x+(-2x-1)=2
-x-1=2
x=-2-1
x=-3
Find the value of y
y=-2x-1
y=-2(-3)-1
y=5
therefore
The solution of the system is the point (-3,5)
Hello!
So to find the y-coordinate we need an equation for the line. The equation we can use is
y = mx + b
In this we already know m(the slope which is 3) and we can find b by plugging in the points that are given.
10 = 3(0) + b
10 = 0 + b
10 = b
So now that we've found b, we can use this in our equation
y = 4x + b
So now we can plug in the x-coordinate that we know (2) and find the y - coordinate.
y = 4(2) + 10
y = 8 + 10
y = 18
18 is your y-coordinate
Answer:
Volume: 
Ratio: 
Step-by-step explanation:
First of all, we need to find the volume of the hemispherical tank.
The volume of a sphere is given by:

where
r is the radius of the sphere
V is the volume
Here, we have a hemispherical tank: a hemisphere is exactly a sphere cut in a half, so its volume is half that of the sphere:

Now we want to find the ratio between the volume of the hemisphere and its surface area.
The surface area of a sphere is

For a hemisphere, the area of the curved part of the surface is therefore half of this value, so
. Moreover, we have to add the surface of the base, which is
. So the total surface area of the hemispherical tank is

Therefore, the ratio betwen the volume and the surface area of the hemisphere is

Answer:
W = -L + V
Step-by-step explanation:
V = L + W
~Subtract L to both sides
V - L = W
Best of Luck!