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2 years ago

EFGH is translated 6 units to the left and 3 units up. What are he coordinates of F?

Mathematics

2 answers:

Ivanshal [37]2 years ago

8 0

Answer:

Step-by-step explanation:

alukav5142 [94]2 years ago

3 0

Answer:

The answer is A

Step-by-step explanation:

dont no if u still need this but thats it

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You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co

alex41 [277]

The perimeter of the rectangular plot of land is given by the expression below

$P=2x+2y$

On the other hand, since the available money to buy fence is D dollars,

$\begin{gathered} D=4(2x)+3(2y) \\ \Rightarrow D=8x+6y \\ D\rightarrow\text{ constant} \end{gathered}$

Furthermore, the area of the enclosed land is given by

$A=xy$

Solving the second equation for x,

$\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}$

Substituting into the equation for the area,

$\begin{gathered} A=(\frac{D-6y}{8})y \\ \Rightarrow A=\frac{D}{8}y-\frac{3}{4}y^2 \end{gathered}$

To find the maximum possible area, solve A'(y)=0, as shown below

$\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}$

Therefore, the corresponding value of x is

$\begin{gathered} y=\frac{D}{12} \\ \Rightarrow x=\frac{D-6(\frac{D}{12})}{8}=\frac{D-\frac{D}{2}}{8}=\frac{D}{16} \end{gathered}$ <h2>Thus, the dimensions of the fence that maximize the area are x=D/16 and y=D/12.</h2><h2>As for the used money,</h2> $\begin{gathered} top,bottom:\frac{8D}{16}=\frac{D}{2} \\ Sides:\frac{6D}{12}=\frac{D}{2} \end{gathered}$ <h2>Half the money was used for the top and the bottom, while the other half was used for the sides.</h2>

7 0

11 months ago

ASAP!!!!!! show your work plzz!!

Nat2105 [25]

4(p - 7) = 44
First distribute the 4 over the parentheses
4p - 28 = 44
Add 28 to both sides:-
4p = 44 + 28
4p = 72
Divide both sides by 4:-
p = 72/4
p = 18 (answer)

4 0

3 years ago

Each week, Kathy receives a batch of phones that need repairs. The number of phones that she has left to fix at the end of each

adell [148]

Answer:

A.) Kathy starts each week with 108 phones to fix.

6 0

3 years ago

PLEASE HURRY Solve for X assume that lines that which appear tangent are tangent

pickupchik [31]

Answer:

x = 8

Step-by-step explanation:

In a circle if two chord intersects as shown in figure

and length of a chord at point of intersection is a and b

and length of another chord at point of intersection is c and b

a*b = c*d

using this relation here, we have

8*(x+7) = 10 * (4 +x)

=> 8x + 56 = 40 + 10x

subtracting 40 and 8x from both sides

=>8x + 56 - 8x -40= 40 + 10x -8x -40

=> 16 = 2x

=> x = 16/2 = 8

Thus, x = 8

3 0

3 years ago

F(x)=6x-8<br> G(x)=-4x-7<br> Find 3f(x)-g(x)

miskamm [114]

3(6x-8)-(-4x-7)
18x-24+4x+7
ANSWER= 22x-17

7 0

3 years ago