Find the distance between the pair of points: (0,-8)and (0,4)

Formula given: [tex]y=x^{2} -x-6[/tex]

x      -3        -2        -1         0         1          2        3

y       6         0       -4         -6       -4        -4        0

when x = -2

[tex]=(-2)^{2} -(-2)-6[/tex]

[tex]=0[/tex]

when x = -1

[tex]=(-1)^{2} -(-1)-6[/tex]

[tex]=-4[/tex]

when x = 1

[tex]=(1)^{2} -(1)-6[/tex]

[tex]=-6[/tex]

when x = 2

[tex]=(2)^{2} -(2)-6[/tex]

[tex]=-4[/tex]

when x = 3

[tex]=(3)^{2} -(3)-6[/tex]

[tex]=0[/tex]

Answer:

-3          -2          -1          0          1          2          3

6            0          -4         -6         -6       -4          0

Step-by-step explanation:

One is given the following function;

[tex]y=x^2-x-6[/tex]

The problem asks one to evaluate the function for certain values, substitute these values in place of the variable (x) and simplify to evaluate the function.

[tex]-2\\\\(-2)^2-(-2)-6\\=4-(-2)-6\\=4+2-6\\=6-6\\=0[/tex]

[tex]-1\\\\(-1)^2-(-1)-6\\=1-(-1)-6\\=1+1-6\\=2-6\\=-4[/tex]

[tex]1\\\\(1)^2-(1)-6\\=1-(1)-6\\=1-1-6\\=0-6\\=-6[/tex]

[tex]2\\\\(2)^2-(2)-6\\=4-(2)-6\\=4-2-6\\=2-6\\=-4[/tex]

[tex]3\\\\(3)^2-(3)-6\\=9-(3)-6\\=9-3-6\\=6-6\\=0[/tex]

Answer:

1/2 ( equally likely and equally unlikely)

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

A die consists of six numbers. There are 3 even numbers in a die, 2,4, and 6.

This means that 3 out of 6 numbers in a die are even. 3/6 simplified is 1/2.

Answer:

4.46 m^2

Step-by-step explanation:

Sabemos que para un círculo de radio R, el área es:

A = pi*R^2

mientras que para un cuadrado de lado L, el área es:

A = L^2

Ahora queremos calcular los metros cuadrados de área que tiene que sacar el carpintero, esto será simplemente igual a la diferencia entre el área original de la mesa (cuando es circular) y el área final de la mesa (cuando es cuadrada).

Originalmente, la mesa es circular y tiene un radio de 2m.

Entonces el área original es:

A = 3.14*(2m)^2 = 12.56 m^2

Al final, la mesa será un cuadrado de tal forma que sus lados deben medir 2.83m, entonces el área final de la mesa será:

A' = (2.83m)^2 = 8.01m^2

La diferencia nos da:

A - A' = 12.56 m^2 - 8.01m^2 = 4.46m^2

Esto nos dice que se deben eliminar 4.46 m^2 para que la mesa quede cuadrada.

Answer:

There are 24 different correspondences.

Step-by-step explanation:

A one-to-one correspondence means that each element of A can be mapped into only one element of B, and we can't have two or more elements from A mapped into one element from B.

So, to count all the possible combinations, we need to find the number of possible options for each mapping

The first element from A, the 1, can be mapped into any of the four elements of B, so here we have 4 options.

The second element from A, the 2, can be mapped into any of the remaining elements from B, 3 of them (remember that one of the elements of B is taken).

The third element from A, the 3, can be mapped into any of the remaining elements from B, 2 of them now, so here we have 2 options.

The final element from A, the 4, can be mapped into the remaining element from B, so here we have only one option.

The total number of different correspondences (or combinations) is equal to the product between the numbers of options, this is:

Combinations = 4*3*2*1 = 12*2 = 24

There are 24 different correspondences.

Answer:

The answer is 113.10 ft²

Step-by-step explanation:

The square feet which is the area of a 12 ft circle is 113.10. If there is a option for that

Answer:

113.04 ft^2

Step-by-step explanation:

use formule A = πr^2

Answer:

y = 1x-5

Step-by-step explanation:

We know two points so we can find the slope

(0,-5) and (5,0)

m = ( y2-y1)/(x2-x1)

   = ( 0 - -5)/(5-0)

   (0+5)/(5-0)

    5/5

=1

We know the y intercept = -5

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = 1x-5

Answer:

Angle A = 19

Step-by-step explanation:

Vertical angles are congruent ( equal to each other )

If angle A and angle B are vertical angles and vertical angles are congruent then angle A = angle B

If angle A = 3x + 13 and angle B = 5x + 9 then 3x + 13 = 5x + 9

( Note that we just created an equation that we can use to solve for x )

We now solve for x using the equation created

3x + 13 = 5x + 9

Step 1 subtract 3x from both sides

Outcome: 13 = 2x + 9

Step 2 subtract 9 from both sides

Outcome: 4 = 2x

Step 3 divide both sides by 2

Outcome: x = 2

Now to find Angle A

All we have to do to find the measure of angle a is simply substitute 2 for x in it's given expression ( 3x + 13 )

Substitute 2 for x

Angle A = 3(2) + 13

Multiply

Angle A = 6 + 13

Add

Angle a = 19

Answer:

6 for 46.50$

Step-by-step explanation:

you can divide 67.50 over 46.50 (it is less than 3/2)

so 46.50 for 6 is the most expensive

of course if you buy more, it is going to be cheaper than buying less

Answer:

Step-by-step explanation:

The amount to be paid = The new price

where;

New price = (100-x)/100 * Original price

Original price = 40.00

x = discount

100-35/100 * 40.00

65/100 *40

26 shilling

Answer:

log10( 5x^2)

Step-by-step explanation:

2 log10 (x) + log10 (5)

we know that  c loga (b) = log a (b^c)

log10 x^2 + log10 (5)

We also know that logc a + logc b = logc (ab)

log10 (x^2* 5)

log10( 5x^2)

Answer:

Odd:: 8+7+9=24

Even:: 2+8=10

So difference of odd and even is 24-10=14

Reducing 3 from this will make the difference (14–3) divisible by 11.

So the number to be subtracted is 3

And the number is 82786.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

If you subtract the number by 1 i.e. 376233 it will be exactly divisible by 11.

Answer:

-1 ≤ x  < 3

Step-by-step explanation:

2 ≤ 2x + 4 < 10

Subtract 4 from all sides

2-4 ≤ 2x + 4-4 < 10-4

-2 ≤ 2x  < 6

Divide all sides by 2

-2/2 ≤ 2x/2  < 6/2

-1 ≤ x  < 3

Answer:

x= -1 or x= 5/3

Step-by-step explanation:

3x²–2x=5​

3x²-2x-5=0

(3x+_)(x-_)

(3x-5)(x+1)

(I just use a guess and check method to see what will fill the blanks and let the expression expand to become 3x²–2x=5​)

3x-5=0

3x=5

x= 5/3

x+1

x=-1

x= -1 or x= 5/3

Hope this helps!

Answer:

C. Yes, 3.5.

Step-by-step explanation:

If there is a relationship of direct proportionality for every ordered pair of the table, then the constant of proportionality must the same for every ordered pair. The constant of proportionality ([tex]k[/tex]) is described by the following expression:

[tex]k = \frac{y}{x}[/tex] (1)

Where:

[tex]x[/tex] - Input.

[tex]y[/tex] - Output.

If we know that [tex](x_{1}, y_{1}) = (13, 45.5)[/tex], [tex](x_{2}, y_{2}) = (14, 49)[/tex] and [tex](x_{3}, y_{3}) = (15, 52.5)[/tex], then the constants of proportionalities of each ordered pair are, respectively:

[tex]k_{1} = \frac{y_{1}}{x_{1}}[/tex]

[tex]k_{1} = \frac{45.5}{13}[/tex]

[tex]k_{1} = \frac{7}{2}[/tex]

[tex]k_{2} = \frac{y_2}{x_2}[/tex]

[tex]k_{2} = \frac{49}{14}[/tex]

[tex]k_{2} = \frac{7}{2}[/tex]

[tex]k_{3} = \frac{y_{3}}{x_{3}}[/tex]

[tex]k_{3} = \frac{52.5}{15}[/tex]

[tex]k_{3} = \frac{7}{2}[/tex]

Since [tex]k_{1} = k_{2} = k_{3}[/tex], the constant of proportionality is 3.5.

Answer:

answer 60

Step-by-step explanation:

The LCM(12, 20) = 60.

Answer:

L

Step-by-step explanation:

Here, we want to get the circle center

The diameter is a chord that passes through the center of the circle

looking at the given diagram, we can see chords SM and MN

Between this two, we can see that it is SM that passes through the center

Looking at the diagram, we can conclude that L is the circle center where the diameter SM passes

Answer:

none of these

Step-by-step explanation:

A number is divisible by 10 if the last digit of the number is 0. The numbers 20, 40, 50, 170, and 990 are all divisible by 10 because their last digit is zero, 0.

Problem 27)

Refer to the diagram that says "problem 27".

This is the graph of y = 5x where x is the time in years, and y is the amount of simple interest in the account.

This equation comes from the simple interest formula below

i = P*r*t

i = 100*0.05*x

i = 5x

y = 5x

Note: The graph is a straight line through (0,0) and (1,5)

=====================================================

Problem 28)

The abscissa is the x coordinate. For a point like (-3, -7), the abscissa is -3.

The ordinate is the y coordinate. For that point mentioned earlier, the ordinate is -7.

The graph of points is shown below in the figure labeled "problem 28".

When graphing any point, we always start at the origin (0,0) where the x and y axis meet up. Then for a point like (-3,-7) we move 3 units to the left on the x axis and 7 units down on the y axis to arrive at point A. The other points are plotted in a similar fashion. The labels A,B,C,D are optional. They were added to help keep track of the points.

Answer:

The dimensions of the box is 2 units.

Step-by-step explanation:

Volume of cube, V = 8 cubic units

Let the length of the side is a.

So,

The volume of the cube is

[tex]V = a^3\\\\8 = a^3\\\\a = 2 units[/tex]

So, the dimensions of the box is 2 units.  

Answer:

the answer is 110 degrees because 50 plus 20 is 70 and a triangle is 180 degrees so you do 180 minus 70 which gives you 110 :)

Step-by-step explanation:

Answer:

Six

Step-by-step explanation:

10 - 4 = 6

-4 + 10 = 6

Answer:

6

Step-by-step explanation:

[tex] - 4 + 10 = 6[/tex]

6

Answer:

- 3

Step-by-step explanation:

let n be the number , then

3n + 4 = n - 2 ( subtract n from both sides )

2n + 4 = - 2 ( subtract 4 from both sides )

2n = - 6 ( divide both sides by 2 )

n = - 3

The number is - 3

The number is - 3.

To find the number.

What is integer?

An integer is a whole number (not a fractional number) that can be positive, negative, or zero. All the whole numbers are also integers, because integers include all the positive and negative numbers.

Given that:

let n be the number , then

3n + 4 = n - 2 ( subtract n from both sides )

2n + 4 = - 2 ( subtract 4 from both sides )

2n = - 6 ( divide both sides by 2 )

n = - 3

So, the number is - 3.

Learn more about integer here:

https://brainly.com/question/24145706

#SPJ2

Answer:

x-1= -18

x = -18 +1

x = -17

2x - 4 = - 38

2x = -38 + 4

2x = -34

x = -34/2

x = -17

Step-by-step explanation:

Answer:

24 Miles

Step-by-step explanation:

We multiply:

40 * 0,6 = 24 miles

Answer:

12 5/24 thats the answer

Step-by-step explanation:

use this website for mixed number calculator: https://www.calculatorsoup.com/calculators/math/mixednumbers.php

Answer:

B

Step-by-step explanation:

3(3) + 0.75(2) = (3 + 0.75)x

Answer:

1 maps to 1

2 maps to 3

3 maps to 2

Step-by-step explanation:

the correctly assigned answer options describe everything.

there is not much else to say and explain.

these are all true statements due to the symmetry principle of a circle.

when 2 direct connections of two points on the circumference of a circle have the same length, then also their bent distances on the circumference of the circle are the same. and vice versa.

and yes, the perpendicular radius (or diameter) of the circle towards such a line cuts this line in half.

Answer:

m^2-n^2+6n-9

m^2-6n^2-9

Answer:

$8.00

$32.00

$62.000

N.$6.00 + $2.00

Step-by-step explanation: