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3 years ago

9. Plot A(8,-4), B(3, -4), C(7, 1), and D(7.-3) in a coordinate plane.

Mathematics

1 answer:

Dvinal [7]3 years ago

5 0

Answer:

Just put it into Geogebra Classic. It's an app that really helps with this kinda stuff

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6=x/4-8 for x what equation do you get after adding 8 to each side

Lena [83]

Answer:

After adding 8 you get 14 = x/4.

Step-by-step explanation:

6=x/4-8 Add 8 to both sides:

6 + 8 = x/4 - 8 + 8

14 = x/4

x = 4*14

x = 56.

6 0

3 years ago

A rectangular storage container with an open top is to have a volume of 24 cubic meters. The length of its base is twice the wid

Mariana [72]

Answer:

419.25

Step-by-step explanation:

The calculation of the cost of materials for the cheapest such container is shown below:-

We assume

Width = x

Length = 2x

Height = h

where, length = $2 \times width$

Base area = lb

= $2x^2$

Side area = 2lh + 2bh

= 2(2x)h + 2(x)h

= 4xh + 2xh

Volume = 24 which is lbh = 24

$h = \frac{24}{2x^2} \\\\ h = \frac{12}{x^2}$

Now, cost is

$= 13(2x^2) + 9(4xh + 2xh)\\\\ = 13(2x^2) + 9(4x + 2x)\times \frac{12}{x^2} \\\\ = 26x^2 + \frac{648}{x}$

now we have to minimize C(x)

So, we need to compute the C'(x)

$= 52x - \frac{648}{x^2}$

C"(x) $= 52x - \frac{1,296}{x^3}$

now for the critical points, we will solve the equation C'(x) = 0

$= 52x - \frac{648}{x^2} = 0\\\\ x = \frac{648}{52}^{\frac{1}{3}}$

$C" = ((\frac{648}{52} ^{\frac{1}{3} } = 52 + \frac{1296}{(\frac{648}{52})^\frac{1}{3} )^3}\\\\ = 52 + \frac{1296}{\frac{648}{52} } >0$

So, x is a point of minima that is

= $(\frac{648}{52} )^\frac{1}{3}$

Now, Base material cost is

$= 13(2x^2)\\\\ = 26(\frac{648}{52} )^\frac{2}{3}$

= 139.75

Side material cost is

$= \frac{648}{x} \\\\ = \frac{648}{(\frac{648}{52})^\frac{1}{3} }$

= 279.50

and finally

Total cost is

= 139.75 + 279.50

= 419.25

4 0

3 years ago

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the num

forsale [732]

(-4)^2-4(1)(5)
16-4(1)(5)
16-4(5)
16-20
-4

The discriminant is negative so there are no real number solutions.

3 0

4 years ago

Read 2 more answers

Solve for X x+27 = -12 pls hurry pleaseeeee

Yuliya22 [10]

Answer:

x + 27 = - 12

x = - 39

Step-by-step explanation:

4 0

3 years ago

The cost c (in dollars) for the care and maintenance of a horse and carriage is c= 15x 2000, where x is the number of rides? how

Semmy [17]

133.33
Is the answer for

3 0

4 years ago