Donna cut away 7.75 meters of rope. Before that, she had 12 meters of rope. How much rope does Donna have left?

Answer:

A) (-1,3) and (4,3)

B) (-1,-7) and (4,-7)

C) (1.5, .5) and (1.5, -4.5)

Step-by-step explanation:

For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.

4-(-1)=4+1=5

The length of the side of the square is 5.

1. For the first set of points, the square is above the two given points so just add 5 to the y-values

-2+5=3

This gives you the points:

(-1,3) and (4,3)

2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.

-2-5=-7

This give you the points:

(-1,-7) and (4,-7)

3. The third answer is when the two given points are on opposite corners

of the square.

Here the diagonal is equal to 5 since they are on opposite corners of the square.

The diagonal of a square can be found with the pythagorean theorem

Since we have the diagonal we can find the side lengths we need.

[tex]2s^2=25[/tex]

s=[tex]\sqrt{\frac{25}{2} }[/tex]

s=3.5355

We want the new vertices to be in the middle of the other vertices x-coordinates

[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]

The new vertices will be 2.5 units away from the other vertices

-1+2.5=1.5

The new vertices will be at x=1.5

Now we need the pythagorean theorem again to find the y-values

[tex](2.5)^2+h^2=(3.5355)^2[/tex]

[tex]6.25+h^2=\frac{25}{2}[/tex]

[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]

h=2.5

The new vertices will be:

(1.5, -2+2.5)=(1., .5)

(1.5, -2-2.5)=(1.5, -4.5)

Answer:

Approximately 352,951.36

Answer:

Step-by-step explanation:

= 297197401415+842035

= 297198243450

=297197401415/842035

=352951.363

29.25 divided by 9 is 3.25. You have to take the total amount of money he made $29.25 and divide it by the amount he gets every hour $9. So 29.25 divided by 9 is 3.25 or 3 hours and 15 minutes.

Answer:

15 cents a minute

Step-by-step explanation:

9 ÷ 60 = $0.15

Step-by-step explanation:

arithmetic sequence means every new term is the previous term plus a certain constant.

as we can see, this constant is +4 in our case.

15 + 4 = 19

19 + 4 = 23

23 + 4 = 27

...

so, we have

a1 = 15

a2 = a1 + 4 = 15 + 4 = 19

a3 = a2 + 4 = a1 + 4 + 4 = a1 + 2×4 = 15 + 8 = 23

...

an = an-1 + 4 = a1 + (n-1)×4 = 15 + (n-1)×4

Answer:

First, you can break 6 into 3 * 2.

[tex]\frac{6^4*15^3}{3^3*2^4} =\frac{3^4*2^4*15^3}{3^3*2^4}[/tex]

Then, cancel out the common factor of [tex]3^3[/tex]:

[tex]\frac{3^4*2^4*15^3}{3^3*2^4} =\frac{3*2^4*15^3}{2^4}[/tex]

Next, cancel out the common factor of [tex]2^4[/tex].

[tex]\frac{3*2^4*15^3}{2^4} =3*15^3[/tex]

You can evaluate it as 10125 if you'd like.

Step-by-step explanation:

18 cm is the correct answer

Answer:

Step-by-step explanation:

The graph of equation is shown in figure.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The equation of line is,

⇒ y = 6/5x - 2

Now,

Since, The equation of line is,

⇒ y = 6/5x - 2

Clearly, The slope = 6/5

And, The y - intercept = - 2

Thus, The graph of equation is shown in figure.

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Answer: 9 quarters and 14 nickels

Step-by-step explanation:

9*25=225

14*5=70

225+70=295

The total number of nickels is 14 and the total number of quarters is 9 and this can be determined by forming the linear equation.

Given :

kate has $2.95 in quarters and nickels and the total number of coins is 23.

The following steps can be used in order to determine the total number of quarters and nickels Kat have:

Step 1 - Let the total number of quarters be 'x' and the total number of nickels be 'y'.

Step 2 - Remember one quarter is equal to $0.25 and one nickel is $0.05.

Step 3 - The total amount of money Kat has:

0.25x + 0.05y = 2.95  --- (1)

Step 4 - Total number of coins is given by:

x + y = 23

x = 23 - y    --- (2)

Step 5 - Substitute the value of 'x' in equation (1).

0.25(23 - y) + 0.05y = 2.95

5.75 - 0.25y + 0.05y = 2.95

2.8 = 0.20y

y = 14

Step 6 - Now, substitute the value of 'y' in equation (2).

x = 23 - 14

x = 9

So, the total number of nickels is 14 and the total number of quarters is 9.

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Answer:

A

Step-by-step explanation:

Expressing the identity in terms of a and b

(a + b)³ = a³ + b³ + 3ab(a + b)

Subtract 3ab(a + b) from both sides , then

a³ + b³ = (a + b)³ - 3ab(a + b) ← substitute given values

a³ + b³ = 12³ - 3(7)(12) = 1728 - 252 = 1476

Step-by-step explanation:

I hope you get it. you have to substitute and also find the value of a3 + b3

Answer:

A fault

Step-by-step explanation:

A fault is a crack in the Earth's crust that allows chunks of the crust to move relative to one another along its length.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

Z  < − 6

Interval Notation:

( − ∞ , − 6 )

Step-by-step explanation:

Answer:

z<-6

Step-by-step explanation:

4-5Z>34

-5z>34-4

-5z>30

z<-6

Answer:

1

Step-by-step explanation:

Y2-Y1/X2-X1 would become 4-6/3-5 which would become-2/-2 and that equals 1 because its a whole number and when you divide or add two negative numbers, it becomes a positive

Answer:

Undefined

Step-by-step explanation:

Use the following formula to solve for slope:

[tex]\frac{y_2-y_1}{x_2-x_1} =m[/tex]

[tex]m=\frac{(-1)-2}{8-8}[/tex]

[tex]m=\frac{-3}{0}[/tex]

The equation is not a function and therefore the slope is undefined because there are multiple y values for a single x value.

Answer:

22100

Step-by-step explanation:

First you would add the truckloads of concrete for both playgrounds (3 5/8 + 3 5/8 + 1 9/10). Then you would divide that by 1/2. Finally multiply that number by 2000. (Pls mark me the brainliest)

Answer:

the Greatest common factor is 5

Answer:

A

Step-by-step explanation:

total cost of the hotels is 2,296

Answer:

hahshdbdndjksosondndndud

2000000000017827272626728182

Answer:

no question or any number or question available

Step-by-step explanation:

angle 5 = supplementary to 89 = 180-89 = 91°

the sum of all angles in a triangle is always 180°.

so,

angle 3 = 180 - 51 - 91 = 38°

angle 2 = complementary to 38 = 90-38 = 52°

therefore,

angle 1 = 180 - 38 - 52 = 90°

Answer:

$48

Explanation:

24 Divided by 5 = 4.8 times 10 =48

Answer:

$56

Step-by-step explanation:

$10 divided 5＝$2

one bag $2

28bags＝$2 multiply 28＝$56

Answer:

30

Step-by-step explanation:

7+(4*8)-9

Multiply first inside the parentheses

7+(32)-9

Then add and subtract from left to right

39 - 9

30

Answer:

If x is a variable then the answer is 4x⁸ - 2

If x is a multiplication representation then the answer is 30

Step-by-step explanation:

If x is a variable:

1) Eliminate redundant parentheses

[tex]7+(4x^{8} )-9\\7+4x^{8} -9[/tex]

2) Subtract the numbers

[tex]7+4x^{8} -9\\-2+4x^{8}[/tex]

3) Rearrange Terms

[tex]-2+4x^{8} \\4x^{8} -2[/tex]

Answer:

In order to find the inverse of a function, we flip it over the line y=x, or we switch the x and y values in the equation and solve it for y. So let's do the latter:

m(x) = 5x - 5

y = 5x - 5

x = 5y - 5

5y = x + 5

y = (x + 5)/5

Step-by-step explanation:

hope this is helpful

Answer: f ^−1(x)=x+5

The leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial

The standard form of a polynomial expression is written as:

[tex]a_nx^n+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+...[/tex]

A polynomial function has a leading degree that is greater than 2;

Given the polynomial function

[tex]P(x)=4x^3-31x^3-10058x+158040[/tex]

From the given polynomial, the leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial

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Answer:

Step-by-step explanation:

500

Answer: 22

Step-by-step explanation: 1/4a + 1/3a + 8 = 22

Answer:

Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.

Step-by-step explanation:

Answer:

1/3 is less than 1

Step-by-step explanation:

3/3=1

1/3<1