A city s location is represented on a map at the origin (0,0). Ted lives 20 miles south and 20 miles west of the city represented on this map. What are the coordinates of Ted's house? (Make sure to place your answer in parenthesis.) ex. (x,y) *

Answers

Answer 1

Answer:

(-20,-20)

Step-by-step explanation:

You can draw it out on a graph to see that the point 20 units down (south) and 20 units left (west) is (-20,-20), or you can subtract 20 from both the x and y values. [(x-20),(y-20)]

Related Questions

If a tennis court is 24 meters long, what is the approximate length in yards?

Answers

Approximately 26.2 yards
Because 1 meter = 1.094 yards

Hope this helped :)

Write a program that will solve a quadratic equation: ax2 + bx + c = 0. The program must ask the user to enter the values for a, b and c. It should then determine the discriminant of the parabola and based on the discriminant it should display the real roots: Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots. Use the if - then else structure in your program to decide the outcome of the program. User must then use the quadratic equation to solve for x: = − ± √ −

Answers

Answer:

x= -b ±√b²- 4ac/2a

Step-by-step explanation:

ax2 + bx + c = 0

Dividing the quadratic equation by a gives

x2 + b/ax + c/a = 0

x2 + b/ax = - c/a

Applying the square formula

(x)^2 + 2(x) (b/2a) + (b/2a)^2= + (b/2a)^2- c/a

(x+b/2a)^2= b²/4a² - c/a

(x+b/2a)^2= b²/4a² - 4ac/4a²

(x+b/2a)^2= b²- 4ac/4a²

Taking square root of both sides gives

(x+b/2a)= ±√b²- 4ac/2a

x= -b/2a±√b²- 4ac/2a

x= -b ±√b²- 4ac/2a

This is called the quadratic formula and it can solve the value for x for the given value of a, b and c for the quadratic equation.

From this it is concluded that

Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots.

This is because a square root of a value greater than 0 is possible and gives two values for roots of x.

The square root of a value less than 0 gives a negative number and therefore the roots are an imaginary number.

The square root of a value greater equal to 0 gives a zero leaving behind only one real root.

If a = 9 mm and b = 12 mm what is side c of a right triangle using the
pythagorean theorem?

Answers

Answer:

Step-by-step explanation:

9^2+12^2=225

square root of 225 is 15

Question 3 options:
Point Y lies in between points X and Z on a given line.

The length of XZ = 30, and the length of YZ = 10.

Find the length of XY.

k12

Answers

Answer: XY= 20

Step-by-step explanation:

i took the test and got it correct

30 - 10 = 20

A person invested $8,800 in an account growing at a rate allowing the money to
double every 15 years. How much money would be in the account after 4 years, to the
nearest dollar?

Answers

Answer:10587

Step-by-step explanation: better than original answer

Please helppppppp i need it so I don’t get detention tomorrow .

Answers

Answer:

a) = 27

b) = 5

10. (02.03)
Below are the steps to solve an equations
Step 1: IX - 4l+ 1 = 8
Step 2: IX - 4l = 8 - 1
Step 3: IX - 4l = 7
Which of the following is a correct next step to solve the equation? (1 point)
X-4 = -7
x+4=-7
x + 4 = 7
-x-4= 7

Answers

Answer:

x-4 = 7 , x-4 = -7

Step-by-step explanation:

IX - 4l+ 1 = 8

Subtract 1 from each side

IX - 4l = 8-1

IX - 4l = 7

Then separate into two equations, one positive and one negative

x-4 = 7 x-4 = -7

PLEASE HELP ME ITS URGNT The sum of two consecutive integers is 173. What number is the greatest of the two consecutive integers?

Answers

Answer:

Let x=the smaller integer.

Let x+1+ the larger integer.

x+(x+1)=173

(x+x)+1=173

2x+1=173

2x+1-1=173-1 (substract 1 from both sides)

2x=172 (divide 2 to both sides)

2x/2=172/2

x=86

x+1=87

Step-by-step explanation:

2.39 x 4.37 =

Please solve for me

Answers

Answer:

10.4443

I hope this helps :D have a good day!

If 7/9x - 4/9x = 1/4 +5/12
what is the value of x?

Answers

Answer:

x=2

Step-by-step explanation:

subtract 7/9x -4/9x

3/9x= 1/4 +5/12

first change 1/4 to 3/12

then add 3/12 + 5/12

3/9x = 8/12

change 3/9x to 1/3x then to 4/12x

4/12x = 8/12

then mulitiply by the reciprical 12/4 on both sides

x = 2

n − 9/4= 2n − 7/9 please add work

Answers

Answer:

- 1 17/36

Step-by-step explanation:

Step 1:

n - 9/4 = 2n - 7/9 Equation

Step 2:

- 9/4 = n - 7/9 Subtract n on both sides

Step 3:

- 81/36 = n - 28/36 Find common denominator

Step 4:

- 53/36 = n Add 28/36 on both sides

Answer:

n = - 1 17/36 Convert

Hope This Helps :)

Answer:

n= -53/36

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

n+ −9/4 = 2n+ −7/9

Step 2: Subtract 2n from both sides.

n+ -9/4 −2n=2n+ −7/9−2n−n+ −9/4 = −7/9

Step 3: Add 9/4 to both sides.

−n+ −9/4+9/4=−7/9+9/4 −n=53/36

Step 4: Divide both sides by -1.

−n/-1=53/36/−1n=−53/36

The line with the equation y=4x+5 undergoes a dilation with a scale factor of 2 and the center at (0,2). Determine the equation of the line that is a result of the dilation

Answers

Answer:

System of Equations

Let's call:

L: Length of the window in feet

W: Width of the window in feet

According to the first condition of the problem:

[tex]L = W + 4\qquad\qquad [1][/tex]

The perimeter of the rectangle is 64 feet. The perimeter is calculated as:

P = 2L + 2W =64

Dividing by 2:

[tex]L + W = 32\qquad\qquad [2][/tex]

The system of equations [1] and [2] can be used to find the dimension of the window.

Substituting from [1]

W + 4 + W = 32

Simplifying:

2W = 32 - 4 =28

Solving:

W = 28/2 = 14

Using [1]:

L = 14 + 4 = 18

The length of the window is 18 ft and its height is 14 ft

Mrs. Stokes solved the equation shown below. Select the correct justification for each step shown.

-3(8x-2)=9-21x Original equation
8x-2=-3+7x
8x+1=7x
1=-x
-1=x

Answers

Answer:

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

Below in bold

Step-by-step explanation:

-3(8x - 2) = 9 - 21x

~Divide -3 to everything

8x - 2 = -3 + 7x

~Add 3 to both sides

8x + 1 = 7x

~Subtract 8x to both sides

1 = -x

~Divide -1 to both sides

-1 = x

Note that this isn't the most used way to solve equations because you would typically use distribution to simplify the left side.

Best of Luck!

Find the slope from the graph below.

Answers

Answer:

X=-2 (The slope is - 2/1)

atus
kam
Suppose that y varies directly with x
and y = 5 when x = 6. What is y
when x= 5?
Be sure to simplify your answer.
у

Answers

Answer:

i need free points, thank you

Step-by-step explanation:

y varies x

y=kx

when y=5;x=6

5=6k

5/6=k

Now, when y=?;x=5

y=5\6(5)

y=25\6

y=4.17

2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4.
Which transformation maps the large triangle onto the small triangle?

dilation
reflection
rotation
translation

Answers

Answer:

dilation is the answer

what transformation is represented by the rule (x, y) (-x, -y)

Answers

The transformation which is represented is a 180 degree rotation about the origin

Which table represents a function

Answers

Answer:

The top right

Step-by-step explanation:

In the top right table, every x value has only one y value.

an average student spend 4½ minutes to read one page of a book. how much time will he need to read 5½ pages?

Answers

Answers

Answer:

A rational expression is a ratio of two polynomials. The domain of a rational expression is all real numbers except those that make the denominator equal to zero.

Step-by-step explanation:

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A city s location is represented on a map at the origin (0,0). Ted lives 20 miles south and 20 miles west of the city represented on this map. What are the coordinates of Ted's house? (Make sure to place your answer in parenthesis.) ex. (x,y) *​

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A city s location is represented on a map at the origin (0,0). Ted lives 20 miles south and 20 miles west of the city represented on this map. What are the coordinates of Ted's house? (Make sure to place your answer in parenthesis.) ex. (x,y) *