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3 years ago

Find the slope of the line passing through the given points, when possible. (If an answer is undefined, enter UNDEFINED.)

Mathematics

1 answer:

juin [17]3 years ago

4 0

Answer:

8/3

Step-by-step explanation:

The slope is rise/run.

This line rises 8/5 - (-1/5), and 'runs' 3/8 - (-3/10).

That simplifies to 9/5 and 27/40.

<em>That</em> means the slope is (9/5)/(27/40), which simplifies to 8/3

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-⅕ (10-5+25x)<br> Please help!

Yanka [14]

Answer:

- $-\frac{1}{5} * (5+25x)\\-\frac{1}{5} *5-\frac{1}{5}(25x)\\-1-\frac{1}{5}(25x)\\-1 -1 (5x)\\01-5x$

Step-by-step explanation:

7 0

3 years ago

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

1 year ago

1. There are 150 students in the 9th grade class. They are 9th having a talent show to raise money

9966 [12]

Answer:

100 more tickets are needed to reach the goal of 2000

Step-by-step explanation:

2000-500

1500

1500/15

100

6 0

3 years ago

Use the following graph to evaluate f’(-5) and f’(-1).

Rzqust [24]

Answer:

Bonsoir,

f'(-5)=-4/3

f'(-1) =3/4

Step-by-step explanation:

f'(-5) = ?

2 points : (-6,9) and (-3,5)

f'(-5)=(9-5)/(-6-(-3))=-4/3

f'(-1) = ?

2 points : (-3,5) and (1,8)

f'(-1)=(5-8)/(-3-1)=3/4

The lines are perpendicular

8 0

3 years ago

If V = 12R / (r + R) , then R =

irina1246 [14]

$V=\frac{12R}{r+R}\\\\V(r+R)=12R\\\\Vr+VR=12R\\\\VR-12R=-Vr\\\\(V-12)R=-Vr\ \ \ \ /:(V-12)\neq0\\\\R=\frac{-Vr}{V-12}\\\\R=\frac{Vr}{12-V}$

7 0

4 years ago

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