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

The formula for the density of an object is d = , where m is the mass and V is the
volume. Solve the formula for V in terms of d and m.

Answers

Answer:

m=dV

Step-by-step explanation:

Chau made $252 for 18 hours of work. At the same rate, how much would he make for 9 hours of work?

Answers

Answer:

$126

Step-by-step explanation:

$252/$18=$14 dollars per hour.

now take 14*9 and you get $126.

Answer:

$126

Step-by-step explanation:

Okay, so to solve this question, we need to get from 18 (hours) to 9. To do this, we obviously divide 18 by 2. Since we did this, we now have to do the same thing with the other side ($252.) 252 divided by 2 is 126. This means that if Chau made $252 in 18 hours,  he will make $126 in 9 hours.

Have a nice day! :)

Expand and simplify (X+5) (x+7)

Answers

Answer:

x^2+12x+35

Step-by-step explanation:

x(x+7)+5(x+7)

x^2+7x+5x +35

x^2+12x+35

Mark has a bag with different flavors of candy. The bag contains 4 cherry, 3 lemon, 7 watermelon, and 2 grape candies. Which of the following shows the complement of selecting a grape candy?

Answers

The complement of selecting a grape candy is D. 7:8.

What is the complement in probability?

The complement of a choice is the ratio of not choosing the specified item in preference to others.

The chance of choosing a grape candy is 1/8 or 1:8.  The complement of choosing a grape candy is 7:8 or (1 - 1/8).

The complement of a choice is the opposite probability of choosing an event.

Items          Number    Ratio

Cherry               4         4/16

Lemon               3         3/16

Watermelon      7         7/16

Grape candies  2        2/16

Total                 16

The ratio of grape candies = 2/16 or 1:8

The ratio of not choosing grape candies = 14/16 or 7/8

Thus, the likelihood of failing to choose a grape candy is Option D.

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Question Completion with Answer Options:

A. 1:8

B. 4:6

C. 13:16

D. 7:8

WHAT ARE THESE TRIANGLES SIMILAR BY?? SSS SAS OR AA

Answers

Answer:

The triangles are similar by SSS

because the first two sides which is 3•5+3•5 add up to 7

while the second sides which is 4+4 adds up to 8 so they are similar

You have a bag with 2 red marbles, 1 blue marble, 5 white marbles, 8 green marbles, and 14 yellow marbles. What is p(not yellow)?

Answers

Answer:

2 + 1 + 5 + 8 + 14 = 30 total marbles

30-14 yellow marbles = 16

16/30 = probability of not yellow

Review the incomplete steps in the derivation of the tangent sum identity.

A 2-column table with 5 rows. Column 1 has entries Step 1: Original expression, step 2: rewrite using the definition of tangent, step 3: apply the sine sum identity and cosine sum identity, step 4: question mark, step 5: simplify using the definition of tangent. Column 2 has entries tangent (x + y), StartFraction sine (x + y) Over cosine (x + y) EndFraction, StartFraction sine (x) cosine (y) + cosine (x) sine (y) Over cosine (x) cosine (y) minus sine (x) sine (y) EndFraction, blank, StartFraction tangent (x) + tangent (y) Over 1 minus tangent (x) tangent (y) EndFraction.
Which action can be taken to the expression in Step 3 to give an expression for Step 4?
divide both the numerator and denominator by sin(x)sin(y)
divide both the numerator and denominator by sin(x)cos(y)
divide both the numerator and denominator by cos(x)sin(y)
divide both the numerator and denominator by cos(x)cos(y)

Answers

Answer:

D divide both the numerator and denominator by cos(x)cos(y)

Step-by-step explanation:

just took test

The derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).

What is trigonometric identity?

The trigonometric identities is the relationship between the different trigonometric ratios.

These trigonometric identities are the basic formulae that are true for all the values of the reference angle.

For the given situation, the derivation for the tangent sum identity is given in the table below.

The derivation follows the steps,

[tex]\dfrac{sin (x+y)}{cos (x +y)}[/tex]

we know that,

sin (x + y) = sin x cos y + cos x sin y

cos (x + y) = cos x cos y - sin x sin y

Substitute;

[tex]\dfrac{sin x cos y + cos x sin y}{cos x cos y - sin x sin y}[/tex]

Divide each term by cos x cos y

[tex]\dfrac{\dfrac{sin x cos y}{cos x cos y} + \dfrac{cos x sin y}{cos x cos y} }{\dfrac{cos x cos y}{cos x cos y} - \dfrac{sin x sin y}{cos x cos y} }[/tex]

Now, [tex]\dfrac{tan x + tan y}{1 - tan x tan y}[/tex]

Hence we can conclude that the derivation of tangent sum identity taken to the expression in Step 3 to give an expression for Step 4 is option D; divide both the numerator and denominator by cos(x)cos(y).

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Solve each equation.

Possible group activity: columns. Tell me what you notice about both columns.

Solve the equations in one column. Your partner will work on the other column.

Check in with your partner after you finish each row. What do you notice?

Answers

Answer:

this is for column A

Step-by-step explanation:

1: x=9

2:x=8

3:x=7

4:x=84

5:Exact Form: 15/2

Decimal Form: 7.5

Mixed Number Form: 7 ½

6:Exact Form: 25/6

Decimal Form: 4.16

Mixed Number Form: 4 ⅙

7:x=77

8:decimal form:0.03

exact form: 1/30

9:x= 2.83

10:x=6

11: 2.17

12:Exact Form:1/3

Decimal Form: 0.3

Which expression are equivalent to 4+4x+2y+x-y)?

Answers

Answer: 4(3x + y) and 12x + 4y

Step-by-step explanation:

Please Help Me!!!!!
I will mark brilliant ​

Answers

Answer:

D.) No, because one x-value corresponds with two different y-values

A function is a relation in which each input has only one output.

inputs=x     outputs=y

I hope this helps :

please someone help me with this question
4x-3=2x+7​

Answers

X = 5

more words because it wont send ;-;

I NEED HELP PLEASE !!!!

Answers

Answer:

Angle CBD

Step-by-step explanation:

Here, we want to find another name for angle 2

We firstly identify its location

We can see that the angle is on the point B

so B would be the center in the naming

As we can see too, the other sides there enclosing the angle is C and D

So the name of the angle is ;

Angle CBD

PLS HELP WITH THIS QUESTION

Answers

Step-by-step explanation:

put the point on -2 and make the line go left

Alexandra worked 5 hours on Monday, 4.5 hours on Tuesday, and 2.5 hours on Wednesday. Which is closest to the mean number of hours she worked over the three-day period?

Answers

5 + 4.5 + 2.5 = 12 ÷ 3 = 4

how I know mean is when you add each together then divide it by how many things you added together so we added 3 things together so just divide your answer by 3.

What is the quotient of 4.8 divided by (-0.4)

Answers

Answer:

Step-by-step explanation:

lets divide 4.8/(-0.4)=-12

Answer:

The answer to this question is negative 12

I can someone answer this for me.

Answers

The answer to your question is c because look at the x inputs they are the same for a And b but not for c and that’s how you tell if there a function or not.

Solve the following problems:
1. In a 100 kilometer trip, Jojo uses 12 liters of gasoline, how many liters of gasoline will he use on a trip of 350 kilometers?
2. Mutya sold 2 baskets of avocado at Php30.00 per kg. If a basket contains 5 1/2 kg, how much did Mutya
earn?​

Answers

Answer:

Q1. 42 litersQ2. Php. 330  

Step-by-step explanation:

Question 1

Use ratios to solve:

12/100 = x/350x = 12*350/100x = 42 liters

Question 2

1 basket → 5 1/2 kg ⇒ 2 baskets → 2(5 1/2) = 11 kg1 kg → 30 ⇒ 11 kg → 11*30 =  330  

Mutya earned Php. 330  

Solve the equation
5x - 12 = 3 (x+ 6)

Answers

Answer:

x=15

Step-by-step explanation:

5x-12=3(x+6)   =  5x-12=3x+18

+12 on both sides

5x=3x+30

-3x on both sides

2x=30

2x/2=x

30/2=15

x=15

( 2х — у > — 2
( 8x — ус 5​

Answers

hehehehehehehe unknown sorry not sorry

Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
PLEASE GIVE ME EXPLANATION

Answers

Answer:

Daniel

Step-by-step explanation:

Daniel ran 5000/40=500=4=125 meters in 1 minutes

Andy ran 4550/37=122.9729... some less than 123 meters in second

Daniel was faster than Andy

Choose the equation of the line that is parallel to the y- axis.

A. X=-2
B. X+y=0
C. X=y
D. Y=2

Answers

the answer is x=-2 because its the only one thats parallel to the y axis
The answer is A. Because it’s parallel to the Y axis

Find the length of cd

Answers

Answer:

About 7.2 units

Step-by-step explanation:

[tex]cd \: = \sqrt{( - 8 - 2)^{2} + (7 - 3 )^{2} } = 7.21[/tex]

Instructions to care for a plant say to water it with 5 cups of water every day. The plant has been getting 15% too much water. How much water has the plant been getting?

Answers

Answer:

5.75 cups of water

Step-by-step explanation:

divide 5 by 15 % and add that to what it it should be getting

given f(x) = 2x + 1, find the following. then write down the corresponding ordered pairs

Answers

Answer: 5, 1 and -1

Step-by-step explanation:

f(2)  

= 2(2) + 1

= 4 + 1

= 5

f(0)

= 2(0) + 1

= 0 + 1

= 1

f(-1)

= 2(-1) + 1

= -2 + 1

= -1

Isabel ran for president of the chess club, and she received 12 votes. There were 15 members in the club. What percentage of the club members voted for Isabel?

Answers

Answer:

80%

explanation:

just looked up "what percentage is 12 out of 15 and it gave me an answer"

just do this for all ur other questions like this

The table shows the balance of an account each year.

Years Balance
0 $40
1 $42
2 $44
3 $46
What is the interest rate of the account?

Answers

Answer:

+2 each year. 40+(2+y), y being years.

Which statement is true about the points shown on the number line?

Answers

Step-by-step explanation: −5.6<−4.2, and −5.6 is located to the left of −4.2.

Answer:

-4.5 < -2.3, and -4.5 is located to the left of -2.3.

Step-by-step explanation:

At a holiday camp, the ratio of boys to girls is 2/3 The ratio of girls to adults is 2/5 . Work out the ratio of children to adults at the holiday camp. Give your answer in the simplest form.​

Answers

5 lots of 3:2 →5×(3:2)=(5×3):(5×2)=15:10

HOPE THIS HELPS

CAN U PLEASE GIVE ME BRAINLIEST

Which statement best matches the expression y<

Answers

Answer:

d

Step-by-step explanation:

Andy has two cylindrical cans. The smaller can has a radius of 2 cm and height of 8 cm. The larger can has a radius of 4 cm and height of 6
cm. About how much more liquid will the larger can hold than the smaller can?
A
30 cubic centimeters
B
40 cubic centimeters
C
200 cubic centimeters
D
300 cubic centimeters

Answers

Answer: 200 cubic centimeters

Step-by-step explanation: Trust me

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