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lora16 [44]
3 years ago
10

Find the length of KU

Mathematics
2 answers:
Westkost [7]3 years ago
8 0

Answer:

KU = 8

Step-by-step explanation:

From the diagram

KU + UN = KN , that is

KU + 40 = 48 ( subtract 40 from both sides )

KU = 8

cricket20 [7]3 years ago
3 0

Answer:

KU = 8

Step-by-step explanation:

UN = 40

        KN = 48

KU + UN = 48

 KU + 40 = 48  {Subtract 40 from both sides}

         KU = 48 -40

         KU = 8

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R+sy=t solving for y
motikmotik

Answer:

y =(t-r)/s

Step-by-step explanation:

r + sy = t

Subtract r from both the sides,

sy = t - r

Divide both the sides by s,

y = (t - r) / s

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Find the absolute maximum and minimum values of f(x,y)=xy−4x in the region bounded by the x-axis and the parabola y=16−x2.
skad [1K]

Answer:

The absolute maximum and minimum is 20\; \text{and} -20.

Step-by-step explanation:

We first check the critical points on the interior of the domain using the

first derivative test.

f_x=y-4=0

f_y=x=0

The only solution to this system of equations is the point (0, 4), which lies in the domain.

f_{xx}=0, \;f_{yy}=0\; \text{and}\; f_{xy}=-1

\Rightarrow f_{xx}f_{yy}-f_{xy}=o-1=-1

\therefore (0,4) is a saddle point.

Boundary points -  (4,0),  (-4,0), (0,16)

Along boundary  y=16-x^2

   f=x(16-x^2)-4x

=16x-x^3-4x

\Rightarrow f^'=16-3x^2-4=0

\Rightarrow 3x^2=12

\Rightarrow x=\pm2,\;\;y=14

Values of f(x) at these points.

\begin{array}{}(4,0)=-16\\(-4,0)=16\\(0,16)=0\\(2,14)=20\\(-2,14)=-20\end{array}

Therefore, the absolute maximum and minimum is 20\; \text{and} -20.

6 0
3 years ago
A gardener buys a rake and a pair of gloves for each of the 12 volunteers in the gardening club. Each pair of gloves
matrenka [14]

Let unit cost of one rake be : r

Given : Total number of volunteers = 12

Given : Each pair of gloves cost $8.00

⇒   Cost of 12 pair of gloves for 12 volunteers = (12 × 8) = $96

Given : The gardener spends a total of $300 on both rakes and gloves

⇒   Cost of 12 rakes + Cost of 12 pair of gloves = $300

⇒   12r + 96 = 300

⇒   12r = 204

⇒   r = 17

<u>Answer</u> : Cost of one rake is $17

4 0
3 years ago
#10 am I correct <br> Can you explain <br> If I'm incorrect then what is the answer
Bad White [126]
Yes, u are correct, hope this helped
6 0
3 years ago
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