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raketka [301]
3 years ago
13

What is the product of (5× + 1)(5x - 1)?

Mathematics
1 answer:
padilas [110]3 years ago
6 0

we are given

(5x + 1)(5x - 1)

we can distribute it

5x*5x-1*5x+1*5x-1*1

25x^2-5x+5x-1

now, we can simplify it

25x^2-1...............Answer

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the length of rectangular park is 15 m longer than that of the park is 114m find it's length and breadth​
Schach [20]

Answer: Length: ≈20.5 Breadth: ≈5.5

Step-by-step explanation: x(x+15)=114, solving for x we get 5.547 and 20.547.

8 0
2 years ago
Find the volume of the pyramid.
xz_007 [3.2K]
I think it is 432.sorry if it is wrong though. My bad calculation error.

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Please Solve This Problem For Me<br><br> x^2 + 5^2 = 7^2<br><br> (^2 Means Squared)
Triss [41]
X^2+5^2=7^2
x^2+25=49
(49-25)
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3 years ago
Can someone plz help me with this one problem plz!!!
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3 years ago
Read 2 more answers
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
nataly862011 [7]

Let (<em>x</em>, <em>y</em>, <em>z</em>) be a point on the plane in the first octant. The box formed by this point has volume <em>xyz</em>, and you want to maximize this subject to the equation of the plane.

Use the method of Lagrange multipliers: the Lagrangian is

<em>L</em>(<em>x</em>, <em>y</em>, <em>z</em>) = <em>xyz</em> - <em>λ</em> (<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6)

Find its critical points:

∂<em>L</em>/∂<em>x</em> = <em>yz</em> - <em>λ</em> = 0

∂<em>L</em>/∂<em>y</em> = <em>xz</em> - 2<em>λ</em> = 0

∂<em>L</em>/∂<em>z</em> = <em>xy</em> - 3<em>λ</em> = 0

∂<em>L</em>/∂<em>λ</em> = -(<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6) = 0

Solving the first three equations for <em>λ</em> gives

<em>λ</em> = <em>yz</em> = <em>xz</em>/2 = <em>xy</em>/3

Solve these equations for <em>y</em> and <em>z</em> :

• <em>yz</em> = <em>xz</em>/2   =>   <em>y</em> = <em>x</em>/2   =>   2<em>y</em> = <em>x</em>

• <em>yz</em> = <em>xy</em>/3   =>   <em>z</em> = <em>x</em>/3   =>   3<em>z</em> = <em>x</em>

Substitute these solutions into the last equation and solve for <em>x</em>, then again for <em>y</em> and <em>z</em> :

<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6 = 3<em>x</em> - 6 = 0   =>   3<em>x</em> = 6   =>   <em>x</em> = 2, <em>y</em> = 1, <em>z</em> = 2/3

At this critical point, the maximum volume is

<em>xyz</em> = 2*1*2/3 = 4/3

4 0
3 years ago
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