Slope=?

Answer:
It depends which pair goes first but the formula is Y2-y1 over x2-x1

Answer:

**Answer: **

(0,-3) = (x1,y1)

(4,5) = (x2,y2)

Slope =

=

=

=

=

The measures of the angles of a triangle are shown in the figure below. Solve for x.4962x

The lines shown below are parallel. If the green line has a slope of -1/2, what is the slope of the red line? A.2B.-C.-2D.

Both the galapagos Islands and the island of naura are on the equator, but the galapagos Islands are at 90.30 degree West whereas the island of naura is at 166.56 degree east. How far is it from galapagos Islands to naura travelling over the pacific ocean along the equator, correct to the nearest km

Please help ASAP in math I have a picture

A farmer notes that in a field full of horses and chickens there are 35 heads and 98 feet. How many of each animal are there?

The lines shown below are parallel. If the green line has a slope of -1/2, what is the slope of the red line? A.2B.-C.-2D.

Both the galapagos Islands and the island of naura are on the equator, but the galapagos Islands are at 90.30 degree West whereas the island of naura is at 166.56 degree east. How far is it from galapagos Islands to naura travelling over the pacific ocean along the equator, correct to the nearest km

Please help ASAP in math I have a picture

A farmer notes that in a field full of horses and chickens there are 35 heads and 98 feet. How many of each animal are there?

If you earn $8000 a month in year you will earn $96000. You will hit the 1 million mark after 125 months or 10 years and 5 months

8000 dollars in one month... 12 months in a year... 12 x 8000 is 96000. An equation would be y=8000x, x being amount of time in months and y being the total amount of dollars. So then...

1,000,000=8000x

------------- --------

8000 8000

125=x... 25 months.

1,000,000=8000x

------------- --------

8000 8000

125=x... 25 months.

**Answer:**

Each square should have **5 inches of side and area = 25 square inches.**

**Step-by-step explanation:**

Candy box is made that measures 45 by 24 inches.

Let the squares of equal size** x inches** has been cut out of each corner.

The sides will then be folded up to form a rectangular box.

Now we have to find the size of square that should be cut from each corner to obtain maximum volume of the box.

Now the box is with length = (45 - 2x) inches

and width = (24 - 2x) inches

and height = x inches

Volume of the candy box = Length × width × height

V = (45 - 2x)(24 - 2x)(x)

V = x(1080 - 48x -90x + 4x²)

= x(1080 - 138x + 4x²)

= 4x³ - 138x² + 1080x

Now we will find the derivative of volume and equate it to zero.

12(x² - 23x + 90) = 0

x² - 23x + 90 = 0

x² - 18x - 5x + 90 = 0

x(x - 18) - 5(x - 18) = 0

(x - 5)(x - 18)=0

x = 5, 18

Now for x = 18 Width of the box will be = (24 - 2×18) = 24 - 36 = -12

Which is not possible.

Therefore, x = 5 will be the possible value.

Therefore, square having area 25 square inches should be cut out from each corner to get the maximum volume of candy box.

The size of the **square** that should be cut away from each corner to obtain the maximum **volume** for a box made from a cardboard measuring 45 by 24 inches is 3 inches.

To find the size of the **square** that should be cut from each corner to obtain the maximum volume, we should first make an equation for the volume of the box. If x is the length of the side of the square, then the dimensions of the box are (45-2x) by (24-2x) by x, thus the **volume** of the box V is (45-2x)(24-2x)x.

By using calculus, we can find the derivative of this **function**, set it to zero and solve, this will give the critical points where the maximum and minimum volumes will be.

The derivative is found to be -4x^2 + 138x - 1080. Setting this to zero and solving, we find that x = 3 and x = 90 are the critical points for the maximum and **minimum** volumes. Since we cannot cut corners more than 24 inches (this would make the width negative), x = 3 inches is the only feasible solution.

So, **3 inches** should be cut away from each corner to obtain the maximum volume.

#SPJ3

9514 1404 393

**Answer:**

S = {2, 3, 5, 7, 11, 13}

2^6 = 64 subsets

**Step-by-step explanation:**

The list of primes less than 15 is ...

** S = {2, 3, 5, 7, 11, 13}**

__

A set with n unique elements has 2^n unique subsets, including the empty set and the full set. This set of 6 elements has 2^6 = **64 subsets**.

Determine which triangle appears to be acute.

Number 2. Because I am in college

number two because it has at least one acute angle

B) 5

C)8

D) 20

**Answer:**

A)2

**Step-by-step explanation:**

2×x + 3=7

2x+3=7

2x=7-3

2x=4

divide both sides by the coefficient of x which is 2

2x=4

x=2

Answer:

Step-by-step explanation:

a) AB=2AM

A__________M__________B

If M is the midpoint of AB, then AM = MB

Since AM=MB MB=2AM

Therefore AB=2AM

b)AM=1/2MB

sincs M is midpoint of AB.

then AM=BM....(1)

and also AM+BM=AB

AM+AM=AB from (1)..AM=BM

2AM=AB

AM=1/2AB