The buildings of a university are mapped on a coordinate grid with the origin being at library.

The Math building is located at the point (1, 5) and the History building is located at (4, 9).

How far is it from the Math building to the History building?

The Buildings Of A University Are Mapped On A Coordinate Grid With The Origin Being At Library.The Math

Answers

Answer 1

Applying the distance formula, the distance between the the Math building to the History building is: 5 units.

What is the Distance Formula?

To find the distance between two given points on a coordinate grid, the distance formula which is used is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given the following:

Math Building (1, 5) = (x1, y1)History building (4, 9) = (x2, y2).

Plug in the values into the distance formula:

d = √[(4−1)² + (9 − 5)²]

d = √[(3)² + (4)²]

d = √(9 + 16)

d = √25

d = 5

Distance between the the Math building to the History building is: 5 units.

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Related Questions

plzzzzzz i will give u a thank u and 5 stars

Answers

Answer:

the answer is 440 square inches.

you just have to multiply all the numbers.

Answer:

B. 440 square inches

Step-by-step explanation:

all you have to do multiply 5x8x11 = 440

A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?


(Please help)

Answers

Answer: 3 1/2

Step-by-step explanation:

Yes

Answer:3 1/2

Step-by-step explanation:

find the value of x in each of the given triangles.​

Answers

Answer:

7.5

Step-by-step explanation:

10x + 8x + 6x = 180°

24x = 180°

x = 180°÷24

× = 7.5

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

expand and simplify (x-4)(x-1)

Answers

Step-by-step explanation:

(x - 4)(x - 1)

= x² - x - 4x + 4

= x² - 5x + 4.

Answer:

[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]

(x^2-5x+4) is the right answer.

Solve the equation for y. y-x=5

Answers

y - x = 5

y = x + 5

Hope this helps! :)

Answer:

Hi! The correct answer is y=5+x!

Step-by-step explanation:

~Add x to both sides of the equation~

100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.

Answers

Answer:

x = 29

Step-by-step explanation:

The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding

Corresponding angles sum to 180

(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 29

Mr. Tang gives a math test worth 90 points that contain 25 questions. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of question are there?

Answers

Answer:

m=10

w=15

Step-by-step explanation:

m + w = 25

3m + 4w = 90

Let's do substitution, first by solving the first equation for m.

m = 25 - w

Substitute!

3(25 - w) + 4w = 90

75 - 3w + 4w = 90

w = 15

m = 25 - 15 = 10

Complete the sentences to explain how to multiply 4.56 x 1,000

Answers

Answer 4560

Step-by-step explanation:

Take 1,000 over 4.56 and mutiply  6 times all the zeros wich gets

Take 6 times 1 and thats 6

And repeat that until you run out of dights which in this case is just 4.56

Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP

Answers

Answer:

1. 5

2. [tex]\sqrt{85}[/tex]

3. [tex]\sqrt{26}[/tex]

Step-by-step explanation:

1. just count the units: 5 units

2. Find the slope = rise/run = -7/6

you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)

use the pythagorean theorem to find the hypotenuse.

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]7^{2} + 6^{2} = c^{2}[/tex]

49 + 36 = [tex]c^{2}[/tex]

85 = [tex]c^{2}[/tex]

[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]

[tex]\sqrt{85} = c[/tex]

Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.

3. same process as 2

slope = -1/5

[tex]1^{2} + 5^{2} = c^{2}[/tex]

1 + 25 = [tex]c^{2}[/tex]

26 = [tex]c^{2}[/tex]

[tex]\sqrt{26} = c[/tex]

That is the farthest it can go, so that will be the answer.

help me please quickly

Answers

Answer:

(1)  4

Step-by-step explanation:

Isolate x.

[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3

x - 2 = 2

x = 2 + 2

x = 4

Find the distance between line OP the x's and y's are given please answer this with a fraction or decimal, I would appreciate it and give thanks to anyone who can help:)

Answers

Answer:

c ≈ 5.83095189485

Step-by-step explanation:

We can use the Pythagorean Theorem [tex](a^{2} +b^{2} =c^{2} )[/tex] for these kinds of problems.

So, pretend that line is the hypotenuse of a right triangle. One side would be

3 units long and another would be 5 units long. Let's plug that into the theorem.

3² + 5² = c²

Simplify.

9 + 25 = c²

Add.

34 = c²

And now square root both sides.

√34 = c

c ≈ 5.83095189485

Layla is driving to a concert and needs to pay for parking. There is an automatic fee of
$8 just to enter the parking lot, and when she leaves the lot, she will have to pay an
additional $3 for every hour she had her car in the lot. How much total money would
Layla have to pay for parking if she left her car in the lot for 6 hours? How much
would Layla have to pay if she left her car in the lot for t hours?

Answers

Answer:

additional charge=$3×$6

=$18

minimum charge =$8

total=$24

Answer:

$26

8 + 3t

Step-by-step explanation:

How many solutions does this system have?

y = 5 x minus 1. y = negative 3 x + 7.

no solutions
one unique solution
two solutions
an infinite number of solutions

Answers

Answer:

One

Step-by-step explanation:

There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.

What is a system of equations?

A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.

A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.

y = 5x - 1

y = 3x + 7

5x - 1 = 3x + 7

2x = 8

x = 4

y = 19

Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.

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What is the equation of the vertical asymptote for the graph below ?
y = 5 + 1 / x + 3

Answers

Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function ( note: this only applies if the numerator t(x) is not zero for the same x value). Find the asymptotes for the function . The graph has a vertical asymptote with the equation x = 1.

The equation of the vertical asymptote is x = -3

The function is given as:

[tex]y =\frac{5x +1}{x + 3}[/tex]

Assume the equation of the function is:

[tex]y =\frac{m(x)}{n(x)}[/tex]

So, by comparison;

We have:

[tex]n(x)=x + 3[/tex]

Set n(x) to 0

[tex]x + 3 = 0[/tex]

Subtract 3 from both sides

[tex]x = -3[/tex]

Hence, the equation of the vertical asymptote is x = -3

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I need to find the resultant matrix

Answers

the answers are there

i hope it will help you

what is 6X + 9 + 2x ​

Answers

Answer:

8x + 9

Step-by-step explanation:

Combine 6x and 2x since they are "like variables" meaning they both contain an x, and write in standard form ax + bx + c

If Luke is 5 feet and 9 inches tall and Ben is 6 feet and 2 inches tall, What is their total height in centimeters rounded to the nearest centimeter? (There are 2.54 centimeters in 1 inch)​

Answers

The answer is 257 centimeters .
5ft9 = 175.26 cm
6ft2 = 187.96 cm
175.26 + 187.96 = 363.22 cm
Round => 363 cm

A bear cub weighed 10 pounds. Each month it gains 5 pounds. Which equation correctly shows this linear relationship.
A.Y=5x +10
B.Y=10x +5
C.Y=5x-10
D.Y=10x-5

Answers

Answer:

A. Y = 5x + 10

Step-by-step explanation:

The bear gains 5 pounds a month. The X represents the months in which five pounds gradually build. This is represented by 5x. We need to add the bears original 10 pounds so Y = 5x + 10.

Answer:

a is the answer I did dat before

11 (9+ d)
simplify

help me pleas

Answers

Answer:

it issss 99+11d :)

Step-by-step explanation:

hope I helped

Answer:

99 + 11d

Step-by-step explanation:

11(9+d)

distribute the 11 into the ( )

99 + 11d

Hope this Helps!!!

Select the equation that is true.

Answers

Answer:

you didnt attach anything

Step-by-step explanation:

Find the value of "c". 4c + 18 = 74 *​

Answers

[tex]4c \: + 18 = 74[/tex]

[tex] \implies \: 4c = 74 - 18[/tex]

[tex] \implies \: 4c = 56[/tex]

[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]

[tex] \implies \: c = 14[/tex]

The value of c is 14 .

Answer:

14

Step-by-step explanation:

move all terms that don't contain c then solve.

Miguel designs a square garden. Each side length is 3x + 5. Write an expression to find the perimeter of Miguel’s garden.

Answers

Answer:

12x+20

Step-by-step explanation:

Perimeter of a garden = 4s, s being the length of the side

In this case, s = 3x+5

substitute the equation

4(3x+5)

=12x+20

The shadow of a building is 72 feet long. At the same time, John, who is 5 feet tall, casts a shadow that's 6 feet long. How tall is the building?

Answers

Answer:82feet tall

Step-by-step explanation:

What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6

Answers

Answer:

6:8:10:12

Step-by-step explanation:

Scale factor of 2-

3:4:5:6

multiply each number by 2

6:8:10:12

Write an equation for the line in standard form

Answers

Answer:

The equation of the line in standard form is y = -1/2·x - 3

Step-by-step explanation:

From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;

(-4, -1), (-2, -2), and (2, -4)

The slope, m, of the graph is given as follow;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, by substituting the values of the coordinates for two known points, we have;

[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]

The slope of the graph, m = -1/2

The equation of the graph on point and slope form is given as follows;

y - (-4) = -1/2(x - 2)

y = -x/2 + 1 - 4 = -x/2 - 3

The equation of the line in standard form, y = m·x + c  is y = -1/2·x - 3.

k - 873 = -695
What is the answer

Answers

Answer:

k= -1,568

Step-by-step explanation:

I am pretty sure this is the answer if not I am soo sorry

Answer:

178 is the answer......

Convert 4pi/5 to degrees.

Answers

Answer:

To convert radians to degrees, multiply by 180π , since a full circle is 360° or 2π radians. Cancel the common factor of π .

Answer:

144∘

Step-by-step explanation:

4π5⋅180∘π=144∘

What is the domain of this relation?

Answers

Answer:

{-3, 3, 5, 9}

Step-by-step explanation:

The domain is simply the inputs (x) used in the function.

Answer:

{-3,3,5,9} this is answer

Suppose that a​ person's peak blood alcohol level is0.04 ​(grams per 100​ mL) and that this level decreases by 20​% each hour.

Answers

I think cus she said she was she she she

Answer:

Step-by-step explanation:

incomplete question

95% of 15
i need help

Answers

Answer:

14.25

Step-by-step explanation:

im sorry im bad at explaning

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