Find the gradient of the line segment between the points (10,-4) and (6,-16).

Answer:

27

Step-by-step explanation:

If we divide 18 by 2, we get 9. 9 is how many glasses each container of ice tea can fill. 3 x 9 = 27

s = side length of square

4s = perimeter of square

L = length of rectangle

W = width of rectangle

P = 2L+2W = perimeter of rectangle

4s = 2L+2W .... since we want the perimeters the same

4s = 2(L+W)

s = 0.5(L+W)

s^2 = (0.5(L+W))^2 ... square both sides

s^2 = 0.25(L+W)^2

The last equation shows the area of the square, s^2, in terms of L and W. This way we can connect the square to the rectangle.

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

The area of the rectangle is LW

Let's subtract this from the area of the square and see what we get

A = area of square = s^2

B = area of rectangle = LW

C = difference in area

C = A - B

C = s^2 - LW

C = 0.25(L+W)^2 - LW

C = 0.25(L^2+2LW+W^2) - LW

C = 0.25L^2+0.5LW+0.25W^2-LW

C = 0.25L^2-0.5LW+0.25W^2

C = 0.25(L^2-2LW+W^2)

C = 0.25(L-W)^2

Regardless of what we pick for L and W, the expression (L-W)^2 is always positive. Squaring a negative number leads to a positive result.

So C is always positive as long as [tex]L \ne W[/tex]

If C > 0, and C = A - B, then

C > 0

A-B > 0 .... replace C with A-B

A > B .... add B to both sides

This shows the square area is always larger than the rectangle.

Again this only works if L and W are different values. If L = W, then the argument falls apart because the rectangle becomes the square.

We make [tex]L \ne W[/tex] to have a nonsquare rectangle.

Answer:

x^2+17x+91=0

a = 1; b = 17; c = +91;

Δ = b2-4ac

Δ = 172-4·1·91

Δ = -75

Delta is less than zero, so there is no solution for the equation

Step-by-step explanation:

Answer:

0.8 or 4/5

Step-by-step explanation:

[tex]\large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]

[tex]8 \times \frac{ 1 }{ 10 }[/tex]

[tex]Multiply \: 8 \: and \: \frac{1}{10} \: to \: get \: \frac{8}{10}.[/tex]

[tex]\frac{8}{10} [/tex]

[tex]Reduce \: the \: fraction \: \frac{8}{10} \: to \: lowest \\ \: terms \: by \: extracting \: and \: \\ canceling \: out \: 2.[/tex]

[tex]\frac{4}{5} [/tex]

[tex] \color{blue}\frac{2 ^ {2}}{5} = 0.8[/tex]

Answer:

720

Step-by-step explanation:

6*5*4*3*2*1=720

Answer:

alana makes $15 an hour

y= $15x

Step-by-step explanation:

y equals the total amount she makes

x equals the amount of hours she works

Answer:

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers.

Step-by-step explanation:

To determine whether an equation has one solution, no solutions, or infinitely many solutions, we need to examine the relationship between the variables and the consistency of the equation.

Here are the general guidelines:

1. One Solution: An equation has one solution if the variables can be assigned specific values that satisfy the equation, resulting in a unique solution. When solving the equation, you will find a specific value or set of values for the variables that make the equation true. The solution is often a numerical value or a specific point in a coordinate system.

2. No Solutions: An equation has no solutions if there is no value or combination of values for the variables that satisfy the equation. When solving the equation, you will arrive at a contradiction or an inconsistency. For example, if you encounter a statement like 2 = 5 during the solution process, it indicates that the equation has no solutions.

3. Infinitely Many Solutions: An equation has infinitely many solutions if any value assigned to the variables will satisfy the equation. This typically occurs when the equation is an identity or when there are variables on both sides of the equation that cancel out during the solution process, resulting in the equation always being true. In such cases, any value can be substituted for the variables, and the equation will remain true.

Determining the nature of the solutions often involves algebraic manipulation, simplification, and analysis of the equation to determine if it is consistent, inconsistent, or an identity.

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Answer:

The y-intercept is 3.90

7.

a. This is an equation because it has to parts, separated by an equal sign

b. 5 because 5 is the number b is multiplied by in the first part

c. idk

d. a, b, and c are the variables

e. idk

sorry haven't done this in a while

Answer:

D

Step-by-step explanation:

A&B are definitely not true.

C is a possibility, but does not work

D is correct

Answer:

$41,500

Step-by-step explanation:

In order to find net worth you must subtract the persons liabilities from the persons assets. Therefore, $113,000 - $71,500 = $41,500.

Hope this helps! Have an excellent day mate!

Answer:

Step-by-step explanation:

function; f(x)=60x+30

where x = 5.5 as a number of hours the repairs take.

find f(5.5)

plugin value of x=5.5 back into the equation:

f(x) = 60x + 30

f(5.5) = 60(5.5) + 30

f(5.5) = 330 + 30

f(5.5) = 360

Step-by-step explanation:

hope this will help you.

Answer:

b.40

Step-by-step explanation:

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

$0.15 more per ounce does her conditioner cost than her shampoo.

Given that, the shampoo Eva likes to use costs $6 for a 24-ounce bottle.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

The conditioner she likes to use costs $12 for a 30-ounce bottle.

Cost of shampoo per ounce =Total cost/Number of ounce

= 6/24

= $0.25 per ounce

Cost of conditioner per ounce =Total cost/Number of ounce

= 12/30

= $0.4 per ounce

Difference =0.4-0.25

= $0.15

Therefore, $0.15 more per ounce does her conditioner cost than her shampoo.

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Answer:

  piece1:   14 feet

  piece2:  16 feet

Step-by-step explanation:

piece1:   x

piece2:  x + 2

x + x + 2 = 30

2x + 2 = 30

2x = 28

x = 14

piece1:   x = 14

piece2:  x + 2 = 14 + 2 = 16

Answer:

The answer to your question is -11

Answer:

-11

Step-by-step explanation:

Hope this helps! ^-^

Answer: How can you tell when an equation in one variable has infinitely many solutions or no solution?

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Step-by-step explanation:

There you go homies

Answer:

He scored 14 points per game.

84/6

Step-by-step explanation:

Good luck!

Answer:

14

Step-by-step explanation:

To find the unit rate for the question you have to divide 84 by 6

Answer:

15

Step-by-step explanation

So, since the weight of the delivery person is 160 lbs... and the weight limit of the elevator is 790 lbs...  Then you could subtract. If you subtract 790 lbs and 160 lbs you get 630 lbs.

So, this means that 630 lbs of boxes can go in the elevator

Since each box weighs 40 lbs, then you could divide the remaining pounds that could go on the elevator and the weight of each box. If you divide 630 lbs and 40 lbs, then you would get 15.75, but you can't carry a 75th of a box. So you in this circumstance, you would round down 15.75 to 15.

In conclusion, that's how I got my answer of 15

Step-by-step explanation:

Original formula: T^2 = 2p + as

T^2 - 2p = as

s = (T^2 - 2p) / a

Answer:

A=250

B=10

Step-by-step explanation:

You plug in 10 for x and solve

Answer:

There are infinitely many equivalent fractions

Step-by-step explanation:

This is because all you have to do to find an equivalent fraction is multiply to numerator and denominator by the same number, and there are infinitely many numbers, therefore there are infinitely many equivalent fractions.

Answer:

Step-by-step explanation:

The operation in the problem is division

The inverse is multiplication

(-14)

Answer: division inverse= multiplication answer=-14

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You are given the two sides and the abgle inbetween.

Answer:

The answer is 13 hope it helps!<3

Step-by-step explanation: