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3 years ago

What is an equation for the line that passes through the coordinates (2,7) and (0,1)

1 answer:

3 0

It gives you the y-intercept in the question: (0,1)
Use (y2-y1)/(x2-x1) to find the slope:

= (1-7) / (0-2)
= -6 / -2
= 3

Your answer is y=3x+1

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What is the side length of the eectagkes

dedylja [7]

1. 5 in and 1/3 in: Area = 5/3 in^2

2. 5 in and 4/3 in: Area= 20/3 in^2

3. 5/2 in and 4/3 in: Area=10/3 in^2

4. 7/6 in and 6/7 in: Area = 1 in^2

Step-by-step explanation:

1. 5 in and 1/3 in

Here,

$Let\\l=5\\w=\frac{1}{3}\\Area=l*w\\=5*\frac{1}{3}\\=\frac{5}{3}\ in^2$

2. 5 in and 4/3 in

Here,

$l= 5\ in\\w=\frac{4}{3}\ in\\Area=l*w\\=5*\frac{4}{3}\\=\frac{20}{3}\ in^2$

3. 5/2 in and 4/3 in

$let\\l=\frac{5}{2}\\w=\frac{4}{3}\\Area= \frac{5}{2}*\frac{4}{3}\\=\frac{20}{6}=\frac{10}{3}\ in^2$

4. 7/6 in and 6/7 in

Let

$l=\frac{6}{7}\\w=\frac{7}{6}\\Area=l*w\\=\frac{6}{7}*\frac{7}{6}\\=1\ in^2$

Hence,

1. 5 in and 1/3 in: Area = 5/3 in^2

2. 5 in and 4/3 in: Area= 20/3 in^2

3. 5/2 in and 4/3 in: Area=10/3 in^2

4. 7/6 in and 6/7 in: Area = 1 in^2

Keywords: Rectangle, Area

Learn more about rectangles at:

#LearnwithBrainly

8 0

3 years ago

-7+b=-8 step by step plz

Gelneren [198K]

Answer:

b=-1

Step-by-step explanation:

-7+b=-8

Add 7 to each side to isolate b

-7+7+b=-8+7

b = -1

7 0

3 years ago

Read 2 more answers

What is the total surface area of the cone?

Ymorist [56]

T.S.A. = pi (7) (24) + pi (7)^2 = 168pi + 49pi = 217 pi cm^2 = more or less 681,73 cm^2

7 0

3 years ago

A manufacturer has been selling 1000 flat-screen TVs a week at $500 each. A market survey indicates that for A manufacturer has

luda_lava [24]

Answer:

a) Demand function: $q=6000-10\cdot p$

b) The rebate should be of $200, so the sale price becomes $300 per unit.

c) The rebate should be of $150, so the sale price becomes $350 per unit.

Step-by-step explanation:

a) In this case, we have a known point of the demand function (1000 units sold at $500), and the slope of a linear function (increase by 100 units fora decrease in $10).

We can express the demand function (linear) as:

$q=b+m\cdot p$

To calculate the slope m, we use:

$m=\Delta q/\Delta p=(+100)/(-10)=-10$

To calculate b, we use the known point and the calculated slope:

$q=b+m\cdot p\\\\b=q-m\cdot p=1000-(-10)\cdot (500)=1000+5000=6000$

Then the demand function is:

$q=6000-10\cdot p$

b) The revenue can be expressed as:

$R=q\cdot p = (6000-10p)\cdot p=6000p-10p^2$

To maximize, we can derive and equal to zero

$dR/dp=6000-2*10p=0\\\\20p=6000\\\\p=300$

The rebate should be of $200, so the sale price becomes $300 per unit.

c) If we take into account the cost, we have that

$R=q\cdot p-C=(6000p-10p^2)-(68000+100q)\\\\R=(6000p-10p^2)-(68000+100(6000-10p))\\\\R=6000p-10p^2-(68000+600000-1000p)\\\\R=-10p^2+7000p-668000$

To maximize, we can derive and equal to zero

$dR/dp=-20p+7000=0\\\\p=7000/20=350$

The rebate should be of $150, so the sale price becomes $350 per unit.

5 0

3 years ago

Which characteristic best describes the data in the scatterplot?

denis23 [38]

Answer:

A. Negative association

Step-by-step explanation:

The points are going down.

7 0

3 years ago

Read 2 more answers