Answer:
10x+4y+10z Hope I helped? :')
<u>Steps for answer!</u>
1. Expand by distributing terms.
6x+8y+10z+4(x-y)
2. Expand by distributing terms.
6x+8y+10z+4x-4y
3. Collect like terms.
(6x+4x)+(8y-4y)+10z
4. Simplify.
10x+4y+10z
Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
The area of a circle with respect to its diameter is:
A=(πd^2)/4
If he plants roses in every other section, there will be half of the area remaining, so half of the area of the circle is:
A=(πd^2)/8, since d=8:
A=(64π)/8 m^2
A=8π m^2 and if you want an approximation:
A≈25.13 m^2 (to nearest hundredth of a square meter)
Snsis dksisis wisiwis wjsis
<span>Generate a function for the height of the cyliner as a function of radius. Use this function to generate a function of r for the material used. Take the derivative of that function, set it to zero, and solve for r.
</span><span>V=πr2h</span>h=d h=d=2r h=2r <span>V=πr22r
</span><span>V(r,h)=180.5=πr2h⟹h=<span>180.5/<span>πr2</span></span></span><span>⟹A(r)=r(r+h)=r2+<span>180.5/<span>πr
</span></span></span><span>A(r)=2r(2r+h)=4r2+<span>361/<span>πr
</span></span></span>
<span>A′(r)=8r−<span>361/<span>π<span>r2</span></span></span></span>