The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. The distance between the Elm and Symphony Stations is how many miles?

The Units Of The Subway Map At The Right Are In Miles. Suppose The Routes Between Stations Are Straight,

Answers

Answer 1

Answer:

Distance between 2 stations= 8.94 miles

Step-by-step explanation:

The coordinates of Symphony Station is given by:

Symphony Station: (x₁ , y₁) : (1,2)

The coordinates of Elm station is given by:

Elm Station: (x₂ ,y₂) : (-3,-6)

We know that the distance formula can be used to find distance between these 2 points. Distance formula is given as

d= √((x₂ - x₁)² + (y₂ - y₁) ²)

Substitute values

d= √((-3 - 1)² + (-6 - 2) ²)

d= √((-4)²+(-8)²)

d= √(16+64)

d=√80

d= 8.94 miles


Related Questions

simplify
x + x + y x y
plz thx

Answers

Answer:

2x + y^2

Step-by-step explanation:

We group the like terms, so:

x + x = 2x

y * y = y^2

_______________________________

Hey!!

Solution,

X+X+y*y

= 2x+y^2

The answer is 2x+y^2

hope it helps

Good luck on your assignment

____________________________




Helen has only 10 questions left to do of her Math homework. She
has 120 minutes before it's her bedtime and it takes 5 minutes to do
each Math question. Describe the pattern and determine how much
time she will have available after her homework is complete.

A)Start at 120 and add 5 each time. She will have 70 minutes of free time after she finishes her math questions.

B) Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions.

C)Start at 120 and subtract 5 each time. She will have 75 minutes of free time after she finishes her Math questions.

D) Start at 120 and subtract 5 each time. She will not have enough time to complete all of her math questions.​

Answers

Answer:

B. Start at 120 and subtract 5 each time. She will have 70 minutes of free time after she finishes her math questions
B, each question is 5 minutes, so it will take her 50 minutes for her to finish her homework and yu subtract that from 120 and she will have 70 minutes left.

Which equation is equivalent to

(1/3)^x= 27^X+2

Answers

Answer:

x=-1½

Step-by-step explanation:

1/3^x=27^x+2

3^-x=3^3x+6

-x=3x+6

-6=3x+x

-6=4x

x=-1½

Which of the following is most likely to be a relative minimum for this graph?

Answers

Answer: A (3, -4)

Step-by-step explanation:

A minimum is at the lowest point on the parabola. The minimum and maximum can be seen by looking at the vertex.

If you go right 3 spaces on the x-axis horizontally, then down 4 spaces vertically on the y-axis you get (3, -4).

4 is negative because you are going down below the x-axis.

sin(x+16degrees) = cos(2x+14 degrees) what is x

Answers

Answer:

X=20°

Step-by-step explanation:

SinX+16°+Cos2X+14°=90

3x+30=90

3x=60

x=20°

Solve y = 7x + 8 if the domain is {-4, -2, 0, 2}.

Answers

Answer:

y= -29 if domain is -4

y=-6 is domain is -2

y=8 if domain is 0

y=22 if domain is 2

Step-by-step explanation:

What is 3x^2-10x-8 fully factored?

Answers

Answer:7678

Step-by-step explanation:

Answer:

Step-by-step explanation:

Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!

Answers

Answer:

w = -5x^2+20x+160/x

Step-by-step explanation:

Divide both sides by x and since you can't divide -5(x-8)(x+4) by x, it becomes a fraction resulting the answer to be w = -5x^2+20x+160/x.

I may be wrong, it's been a while since I solved these types

The length of a rectangle is 2 units greater than the width. The area of the rectangle is 24 square units. What is it's width?

Answers

Answer:

4 units

Step-by-step explanation:

Length would be 6 units and width would be 4 units

6*4 = 24 proving my claim to be true

Answer:

Width = 4 units

Step-by-step explanation:

Let us pose the width as w, and the length as l. If the length is 2 units greater than the width, consider the following;

[tex]l = 2 + w,\\\\w = width,\\l = length[/tex]

The area of this rectangle can be determined through length * width / l * w, and is given to be 24 square units. We can say l = 2 + w instead, solving for the width ( w );

[tex]( 2 + w ) * w = 24,\\2w+w^2=24,\\\left(w-4\right)\left(w+6\right)=0,\\w = 4, w = - 6\\\\Solution - width = 4 units[/tex]

As the width couldn't be a negative value, we had to take the positive of 4 and - 6, which was 4 units.

Which is an equation of the line containing the points (4, 6) and (6, 10) in standard form
A) 2x -y= -2
B) -2x -y= -22
C) -2x +y= -8
D) -2x +y=-2

Answers

Answer:d

Step-by-step explanation on ed

Given: Lines y and z are parallel, and ABC forms a triangle.
Prove: m25 + m_2 + m26 = 180°
M

Answers

Answer: Brainliess plsssssss

The answer in this question is Alternate interior angles are congruent.

Step-by-step explanation:

Alternate interior angles are defined as when the two lines are crossed by another line which is called transversal, the pairs of angles on opposite sides of the transversal but inside the two lines are known as alternate interior angles.

What is a equivalent expression to $3.79 x 2 = $7.58

Answers

Answer: $7.58/2=$3.79

Step-by-step explanation:

if a number of 721 students enrolled to a school & the number increases by 7%, by the next year how many students will there be?

Answers

Answer:

771

Step-by-step explanation:

Answer:

771

Step-by-step explanation:

a) Find the square number
7
12
20
25
27
b) Find the cube number
7
12
20
25
27

Answers

Answer:

a) 25

5² = 5×5 = 25

b) 27

3³ = 3×3×3 = 27

(a) The square number is 25.

(b) The cube number is 27.

The following information should be considered:

The square number is the number that should be multiplied by itself.While on the other hand, the cube number is the number that should be multiplied it by 3 times itself.

So based on the given options, we can conclude that

(a) The square number is 25.

(b) The cube number is 27.

Learn more: brainly.com/question/17429689

Write the equation for a line that passes through the point (2,5) and a slope of m =10 in point slope form

Answers

Answer:

y=10x-15

Step-by-step explanation:

with the points given you know x=2 and y=5

make a new point called (x,y)

now use the formula (y-5)/(x-2)=10 (10 being the gradient)

y-5 = 10(x-2)

y-5=10x-20

add 5 to both sides

y-5+5=10x-20+5

y=10x-15

Since we're given a point and a slope, we can write

the equation of this line using the point-slope formula.

The point-slope formula is shown at the top of the image below.

The given point, (2,5), represents (x1,y1).

Now plug in the information to get the equation below.

Now you can distribute the 10.

Then add 5 to both sides.

You will end up with the equation y = 10x - 15 as your answer.

Solve the equation.

y + 6 = –3y + 26

Answers

Answer: y=5

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

y+6=-3y+26

Taking like terms to both side, y+3y=26-6

4y=20(Dividing both sides by 4)

y=5

the two-way table below shows the intended careers among the incoming class of first-year college students, divided by gender. If a student is chosen and random, what is the probability of the student is female who intends to be a research scientist?​

Answers

Answer:

c. 2.2%

Step-by-step explanation:

The total number of all students in all fields, male and female is 4663.

There are 103 female research scientists.

p(female scientist) = 103/4663 = 0.022 = 2.2%

HURRRYYYYYYY

A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 4.



A).1/4


B).1/3


C).1/2


D).2/3

Answers

Answer:

(C) ¹/₂

Step-by-step explanation:

Given;

A standard number cube with the numbers 1 through 6 = 1, 2, 3, 4, 5, 6

The probability of rolling a number less than 4 = 3, 2, 1

The probability of rolling 3, P(3) = ¹/₆

The probability of rolling 2, P(2) = ¹/₆

The probability of rolling 1, P(1) = ¹/₆

Probability of rolling a number less than = P(3) or P(2) or P(1)

                                                                   = ¹/₆ + ¹/₆ + ¹/₆

                                                                   = ³/₆

                                                                   = ¹/₂

Therefore, the probability of rolling a number less than 4 is ¹/₂

Option (C) ¹/₂

Please answer correctly !!!!!!!!!! Will
Mark brainliest !!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

The discriminant is what's under the square root sign in the quadratic equation.  The equation for the discriminant is [tex]b^{2}-4ac[/tex], where b is the coefficient of x, a is the coefficient of [tex]x^{2}[/tex], and c is the number with no variable attatched to it.  If we plug in the numbers ([tex]17^{2} -4*4*3[/tex]) it gives you 241, which is the discriminant.  Since 241 is more than zero, it has 2 zeros.  If the discriminant was 0, there'd be 1 zero, and less then zero there would be zero zeros.

What is the volume in cubic units of a cube with a side length of 1/2 unit?

Answers

Answer:

1/8

Step-by-step explanation:

[tex]\frac{1}{2}^3 = \frac{1^3}{2^3} = \frac{1}{8}[/tex]

The volume of the cube is 1/8^2 units.

A cube consists 6 squares. Squares can be easily be recognized because of one trait, they have equal side lengths on all 4 sides.

By knowing that a cube consists of only squares, you can immediately figure out that all sides of the cube are also 1/2 unit.

The formula for a cube is l*w*h. With that being said you then would multiply 1/2 by itself three times. This can be written out as 1/2*1/2*1/2 or 1/2^3 (which is why the exponent 3 is considered “cubed”.)

Multiplying 1/2 by itself three times will then look like this: 1/2*1/2=1/4*1/2=1/8 or just 1/2*1/2*1/2=1/8

Help please!
How does the function f(x)=x^2−4x−21 illustrate the Fundamental Theorem of Algebra?

Fill in the blanks. (Hint: Your answers are numbers.)

The degree of f(x) is _____. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly _____ zeros. Those zeros are 7 and _____.

Answers

f(x)=x²−4x−21

The degree is the biggest power of x.  That's a polynomial of degree 2, also called a quadratic function.  Let's find its zeros.

0 = x²−4x−21 = (x - 7)(x+3)

x=7 or x=-3

The fundamental theorem guarantees every non-constant polynomial with complex coefficients has a complex zero, let's call it r.  If we divide the polynomial by x-r there won't be any remainder and we'll get a new polynomial, one degree less.  The fundamental theorem again applies and (if it's not a constant polynomial) we are assured of another zero, s.  We divide by x-s and get a new polynomial of degree one less.  We repeat all this until we get a constant polynomial (degree zero).    So we get a zero for every degree. They're not necessarily all different.

Answer:

The degree of f(x) is 2. The Fundamental Theorem of Algebra guarantees that a polynomial equation has the same number of complex roots as its degree. This means that f(x) has exactly 2 zeros. Those zeros are 7 and -3.

Reflect triangle A in the line y=x
please can you just state all the coordinates to make up the triangle

Answers

Answer:

(5,6), (3, 6) and (3, 5).

Step-by-step explanation:

If we imagine the line y = x to be a mirror , the image of each point is the same perpendicular distance to the mirror has the original point.

So the image of (6,5) = (5,6)

(6, 3) ---> ( 3, 6)

(5,3) ---> (3, 5).

Note that the coordinates are reversed in each case.

In this case the general rule for the reflection is  (x, y)  ---> (y, x).




Which statement best explains why pollution stays within the Earth's atmosphere? *

Answers

Answer:

Because of cars, and factories making it everyday.

Step-by-step explanation:

What is the following product?
Sqrt 30 • sqrt 10
2 sqrt 10
3 sqrt 10 4 Sqrt 10
10 sqrt 3

Answers

Answer:

10 sqrt 3.

Step-by-step explanation:

sqrt30 = sqrt10 * sqrt 3

so sqrt30 * sqrt10

= sqrt10 * sqrt10 * sqrt3

= 10 sqrt 3.

Answer:d

Step-by-step explanation:

What is the volume of box B?

Answers

Answer:

Answer:  The box measurements are as follows: Box A: height = 5 inches, length = 18 inches, width = 10. Box B: height = 8 inches, length = 10 inches, ..

Step-by-step explanation:

is this the answer you were looking for

What are the x-intercepts of y=4x^2-16

Answers

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

To find the x intercepts of a graph, you need to set the y to 0. This is because a graph only intersects the x axis at the line y=0. Hence:

[tex]4x^2-16=0[/tex]

Factor:

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

The x intercepts are at (-2,0) and (2,0). Hope this helps!

Answer:

The x intercepts are -2 and 2

Step-by-step explanation:

y=4x^2-16

Set equal to zero to find the x intercepts

0 =4x^2-16

Factor

0 = 4(x^2 -4)

Factor again, noticing the difference of squares ( a^2 - b^2) = (a-b)(a+b)

0 = 4(x-2) (x+2)

Using the zero product property

0 = x-2   0 = x+2

x =2          x = -2

The x intercepts are -2 and 2

A small cube is cut off from a larger cube as shown .What is the number of FACES and EDGES in the cut cube as shown?
plz answer fast need it urgently​

Answers

Answer:

All cubes, regardless of size, will have 6 faces and 12 edges.

HELP PLEASE I DON'T UNDERSTAND THIS AT ALL​

Answers

Answer:

PV/nR = T

Step-by-step explanation:

PV = nRT

Divide each side by nR

PV/nR = nRT/ nR

PV/nR = T

Answer:

So we know that P*V = n*R*T im guessing

So that means that we divide it by how much we are multiplying by T aka n*R

so PV/nR = T

I am guessing that this is no physics fomula or math formula with things I dont know but if these are just random vars this is the answer.

Step-by-step explanation:

Hhhhhhheeeeelllllpppppppp

Answers

Answer:

tan 41 = 0.87

sin 63 = 0.89

cos 14 = 0.97

Step-by-step explanation:

No explanation since the question states to use the ALEKS calculator so you just make sure the calculator is in degrees then simply press tan 41 etc.

Which answers are equal to the expression below? Check all that apply

Answers

Answer:

A, B, D, E, F

Step-by-step explanation:

Other Questions
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