Hey there!
We want to isolate x- that's our goal.
First, we must see what is being done to x and do the inverse to "unwrap" the equation.
In our equation, x is being multiplied by y. Therefore, in order to isolate x we must divide both sides by y. We get:
z = xy
Divide both sides by y:
x/y = x
Therefore, your answer is C.
Hope this helps!
Answer:
x=−16/3 or x=2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3x2+10x−8=24
Step 2: Subtract 24 from both sides.
3x2+10x−8−24=24−24
3x2+10x−32=0
Step 3: Factor left side of equation.
(3x+16)(x−2)=0
Step 4: Set factors equal to 0.
3x+16=0 or x−2=0
C) 65
The lines mean that they are equal or same congruent whatever. Since the top angle is 50 we can subtract 50 from 180.
180 - 50 = 130
Now the other Angles are equal so divide 130 by 2 and you get 65.
Answer:
Dear math why dont you grow up and solve your own problems
Step-by-step explanation:
Answer:
The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Step-by-step explanation:
A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.
Recall that the volume for a cylinder is given by:
Substitute:
Solve for <em>h: </em>
Recall that the surface area of a cylinder is given by:
We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.
First, substitute for <em>h</em>.
Find its derivative:
Solve for its zero(s):
Hence, the radius that minimizes the surface area will be about 3.628 centimeters.
Then the height will be:
In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.