Answer: 7 inches
Step-by-step explanation:
If x is the first piece, and the second piece is twice as long, then the second piece is 2x.
If the third piece is three times as long as the first piece, x, then the third piece is 3x.
The 42-inch board must be equal to all 3 pieces, so we will set up an equation and solve for x.
42 = x + 2x + 3x
42 = 6x
42 = 6x
7 = x
The first piece is 7 inches long.
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Answer:
syd is 23 and dev is 69
Step-by-step explanation:
Let Dev's age be x and Syd's age be y
Since Dev is 3 times older than Syd, we may write
x
=
3
y
Since the sum of their ages is 92, we may write
x
+
y
=
92
Now replacing x with 3y, we get :
3
y
+
y
=
92
Hence
y
=
92
4
=
23
and so Syd is 23 year old.
Back substituting we get Dev is 69 years old.
Answer:
4
Step-by-step explanation:
set
constrain:
Partial derivatives:
Lagrange multiplier:
![\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%5C%5C1%5Cend%7Barray%7D%5Cright%5D%3Da%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D2x%5C%5C2y%5Cend%7Barray%7D%5Cright%5D%2Bb%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3x%5E2%5C%5C3y%5E2%5Cend%7Barray%7D%5Cright%5D)
4 equations:
By solving:
Second mathod:
Solve for x^2+y^2 = 7, x^3+y^3=10 first:
The maximum is 4
<span>If MNO = PQR, which of the following can you conclude as being true?
A. No = QR
Plz branliest
</span>
Answer:
Step-by-step explanation:
if the slopes are same then parallel.
if the product of slopes=-1 then perpendicular.
