Find the distance between the pair of points. ​(4​,1) and ​(9​,6​)

Answers

Answer 1

Answer:

5√2 or 7.07 units

Step-by-step explanation:

To find the distance between two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the given values of (4​,1) and ​(9​,6​)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(9 - 4)² + (6 - 1)²]

Simplify the parentheses.

d = √[(5)² + (5)²]

Simplify the exponents.

d = √[25 + 25]

Add.

d = √[50]

Evaluate the radical.

5√2 or 7.07

Round the decimal.

5√2 or 7.07 units

Hope this helps!


Related Questions

The points represented by the table lie on a line. How can you find the slope of the line
from the table? What is the slope of the line?

Answers

Answer:

Step-by-step explanation:

okay so you can take any two points 1 x one y in the form (x, y) and (x, y) so

(2, 5) and (4, 1)

then use the slope formula y2-y1/ x2 -x1

1-5+=4

4-2=2

slope equals 4/2 simplified equals 2

I THINKKKKK!

SOMEONE PLEASE HELP MEEEEE3​

Answers

the answer is (3,4)

Read aloude What fraction of the jug did the three boys drink at the soccer game?

Answers

Answer:

1/3

Step-by-step explanation:

if all the boys drank out of the jug than the fraction would be 1/3

1/3+1/3+1/3=1

Simplify the expression: ∣∣112 − 56∣∣ − (25 + 110)

Answers

The answer should be -79

Given that,

The equation is  ∣∣112 − 56∣∣ − (25 + 110).

Based on the above information, the calculation is as follows:

= (112 - 56) - (25 + 110)

= 56  -135

= -79

Learn more: brainly.com/question/17429689

Answer:

1/4

Step-by-step explanation:

I got it right

72 in.= ______ yd.
yd.=yards
in.=inches
HOW MANY YARDS ARE IN 72 INCHES? HOW DO I SHOW MY WORK FOR THAT???!!!!!
correct=brainliest

Answers

Answer:

72 inches equals 2 yards to get the answer you divide 72 by 36 which equals 2 .

Step-by-step explanation:

Using the digits 1, 3, 5, 7 at most once, you can make many three-digit numbers. What is the maximum possible sum of two such distinct numbers?

Answers

Answer:

1504

Step-by-step explanation:

Given the digits :

1, 3, 5, 7

The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.

Highest three digit number = 753

Next highest = 751

The sum of these two. Values gives :

753 + 751 = 1504

The money used in Tajikistan is called the Somoni. The exchange rate is $7 = 22 Somoni. Find how many dollars you would receive if you exchanged 66 Somoni.

A: $207.43
B: $21
C: $16
D: $18

Answers

Answer:

B: $21

Step-by-step explanation:

it’s 21$ because 66/22 = 3
and 7 x 3 = 21

4=2/9x A) 6 B) 9 C) 15 D) 18

Answers

Answer:

D. 18

Step-by-step explanation:

multiply both sides by 9/2, the reciprocal of 2/9.

4×(9/2)=x

express 4×(9/2) as a single fraction.

4×9/2=x

multiply 4 and 9 to get 36.

36/2=x

divide 36 by 2 to get 18.

18=x

swap sides so that all variable terms are on the left hand side.

x=18

Answer:

D 18

Step-by-step explanation:

you devide 4 by 2/9 and get your answer

An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply

Answers

Answer:

2. 35 degree.

Answer:

35°, 35°

Step-by-step explanation:

An isosceles triangle has 2 congruent angles.

The sum of the measures of the angles of a triangle is 180°.

A triangle cannot have 2 angles measuring 110° each since that sum alone equals 220° which is more than 180° before taking into account the measure of the third angle.

That means the angle measuring 110° must be the vertex angle. The other two angles are congruent, and each one measures x.

x + x + 110 = 180

2x + 110 = 180

2x = 70

x = 35

Answer: 35°, 35°

What percent of 50 is 36?

Answers

50% of 36 means a half of 36 which is 18

Answer:

72%

Step-by-step explanation:

%/100 = is/of Write formula

x/100 = 36/50 Substitute known values

50x=3600 Cross multiply

/50   /50 Divide both sides by 50 to isolate x

x    =72

Can someone please help me with this math question

Answers

Answer:

The answer would be D

Step-by-step explanation:

Most of the points are grouped together and can be define by a line or equation so there is a correlation between the outside temperatures and the heating cost so right away we can eliminate option A

There is no such thing as a constant correlation so we can eliminate answer choice C

As the temperatures rise ( or as the x values rise) the cost of heating decreases ( or the y values decrease) This is an example of negative correlation correlation because as one value increase the other value decreases.

this is also notable from looking at the graph .

Convert the mixed number into an improper fraction: 3 2/9​

Answers

improper fraction: 29/9
29/9

First, multiply the whole number (which is 3 in this case) and multiply it by the denominator (which is 9)
3 x 9 = 27

Second, add the numerator (which is 2) to the answer of the above
27 + 2 = 29

Third, place the answer over 9

29/9

Use the course calculator to solve this problem:

8 + 17 × 26

Answers

Answer:

450

Step-by-step explanation:

8+17=25

25x26=450

Answer: 500

Step-by-step explanation:

You have to do multiplication first according to PEMDAS so you do 17 times 26 and you get 442 add 8 you get 500.

13) Which set of values is a function?
*

Answers

The third option values in function

Answer:

The first option

Step-by-step explanation:

86% of a university's freshman class are majoring in Computer Science. If 8514 students in the freshman class are Computer Science majors, how many students are in the freshman class?

Answers

Answer:

9900 Students

Step-by-step explanation:

Divide 8513 by .86 to show the rest of the freshman class.

You can check by doing 9900 times .86 to see %86 of 9900

Total there are 9900 students are in the freshman class.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, 86% of a university's freshman class are majoring in Computer Science.

8514 students in the freshman class are Computer Science majors.

Let the number of students are in the freshman class be x.

Here, 86% of x=8514

86/100 ×x=8514

86x=851400

x=851400/86

x=9900

Therefore, total there are 9900 students are in the freshman class.

To learn more about the percentage visit:

brainly.com/question/24159063.

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Classify the triangle by its sides:
17 cm, 5 cm, 13 cm?

Answers

Answer:

13 cm i think.

Step-by-step explanation:

Please help
-2x = x - 15

Answers

-2x-x=x-x-15 (subtract x on both sides)
-3x=-15
x=5

Hope this helps!! :)

Answer: x=5

Step-by-step explanation:

subtract x from both sides

-2x-x=x-15-x

-3x=15

then divide both sides by -3

-3x=-15

-3x   -3

x=5

hope this helps! please mark as brainliest! Thanks

Factor by using the distributive property: 8x - 4y + 20.
a.2(4x - 2y + 10)

b.8(x - y + 12)

c.4xy(2x - 2y + 5)

d.4(2x - y + 5)

Answers

D since if you just use the prophet

Dr. Porterfield a financial counselor guru informed Mr. Halpayne he needs $2,000,000 saved if he intends to retire with his wives (7 of them) and not be homeless in future. Calculate the present value Mr. Halpayne needs if he intends to retire in 20 years provided he invests in a financial plan that pays 5% interest compunded monthly.

Answers

9514 1404 393

Answer:

  $737,289

Step-by-step explanation:

The future value of an investment P invested at rate r per year compounded monthly for t years is ...

  FV = P(1 +r/12)^(12·t)

We want to find P for the given future value, so we can solve for that:

  P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)

  P = $2,000,000(1 +.05/12)^(-240) = $737,289

Mr. Halpayne needs a present value of $737,289 to support his retirement.

What's the product of 3 2/3 and 14 2/5 ?
A. 52 4/5
B. 52 4/15
C. 54
D. 42 4/5

Answers

Answer:

52 4/5

Have a nice day! :)

WILL GIVE BRAIN IF CORRECT

Answers

i. c b a

ii. e d f

iii. h i g

hope this helps

now give me your brain lol

Answer:

1. (<A) > (<B) > (<C)

2. (<F) > (<D) > (<E)

3. (<H) > (<I) > (<G)

Step-by-step explanation:

The sides-angles theorem in a triangle states that the largest angle in a triangle will be opposite the largest side. One can apply this to the given set of triangles:

(1)

CB > AC > AB

4.4 > 3.1 > 2.7

(<A) > (<B) > (<C)

(2)

DE > FE > DF

(x) > (x-3) > (x-5)

(<F) > (<D) > (<E)

(3)

GI > GH > HI

(21x) > (14x) > (13x)

(<H) > (<I) > (<G)

Evaluate the expression 3 ⋅ 2^t , when t=1. *

Answers

Answer:

6

Step-by-step explanation:

3 ⋅ 2^t

Let t=1

3 ⋅ 2^1

Exponents first

3 * 2

6

Marcy is making cookies. For each batch of dough, she needs 23 cup of sugar. How much sugar will she use if she makes 6 batches of cookies?

Answers

Batches times the amount of sugar per batch

23*6=138

Answer:

138 cups of sugar

Step-by-step explanation:

23 cups for 1 batch times 6 batches equals 138.

23*6=138

LMN is a right-angle triangle. Angle NLM=90. PQ is parallel to LM. The area of triangle PNQ is 8cm^2. The area of triangle LPQ is 16cm^2. Work out the area of triangle

Answers

Answer:

The area of LQM is [tex]48cm^2[/tex]

Step-by-step explanation:

Given

Area of PNQ = 8

Area of LPQ = 16

See attachment for triangles

The area of PNQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * PN[/tex]

Substitute 8 for Area

[tex]8 = \frac{1}{2} * PQ * PN[/tex]

[tex]PQ * PN = 16[/tex]

The area of LPQ is calculated as:

[tex]Area = \frac{1}{2} * PQ * LP[/tex]

Substitute 16 for Area

[tex]16= \frac{1}{2} * PQ * LP[/tex]

From the attachment:

[tex]PN + LP =LN[/tex]

Make LP the subject

[tex]LP = LN -PN[/tex]

So:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex]

We have:

[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex] and [tex]PQ * PN = 16[/tex]

Equate both expressions:

[tex]\frac{1}{2} * PQ *(LN - PN) = PQ * PN[/tex]

Divide both sides by PQ

[tex]\frac{1}{2} (LN - PN) = PN[/tex]

Multiply both sides by 2

[tex]LN - PN = 2PN[/tex]

[tex]LN= 3PN[/tex]

Since PNQ is similar to LNM, the following equivalent ratios exist:

[tex]\frac{LM}{PQ} = \frac{LN}{PN}[/tex]

Substitute [tex]LN= 3PN[/tex]

[tex]\frac{LM}{PQ} = \frac{3PN}{PN}[/tex]

[tex]\frac{LM}{PQ} = 3[/tex]

[tex]LM = 3PQ[/tex]

Area of LQM is:

[tex]Area = \frac{1}{2} * LM * LP[/tex]

This gives:

[tex]Area = \frac{1}{2} * 3PQ * LP[/tex]

[tex]Area = 3 *\frac{1}{2} *PQ * LP[/tex]

Recall that:

[tex]16= \frac{1}{2} * PQ * LP[/tex]

So:

[tex]Area = 3 *16[/tex]

[tex]Area = 48cm^2[/tex]

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?​

Answers

Answer:

[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Step-by-step explanation:

Multiply both sides: by x+c

a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract ac from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add 2x to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor ax+2x: x(a+2)

x(a+2)=b-ac

Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2

Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]

Help asap! I really need some help here!!!

Answers

Answer: 9 ft2

Step-by-step explanation:

i took that test yesterday

What is the value of x in the equation (x/5) - 1 = 5.2


I need the work btw

Answers

Answer:  31

Step-by-step explanation:

(x/5) - 1 = 5.2

x/5 = 6.2

x = 6.2 x 5

x = 31

Answer:

To find

=>The value of x in the Equation => (X/5)-1=5.2

Step-by-step explanation:

(X/5)-1 =5.2

(X/5)= 5.2+1

x/5=6.2

X= 6.2*5

X=31

name three solutions of the inequality of z < 4

Answers

the answer is: 1,2,3

the inequality represents less than, meaning the value of z is less than 4

which leaves us with 3 numbers, 1, 2 and 3

1,2,3 pretty sure that’s the answer

An angle measures (2x + 11).
. What is the measure of an angle that is vertical to the given angle?
Please help ASAP

Answers

Vertical angles are always congruent, or of equal measure.
Vertical angle is equal to given angle. Answer is:(2x+11)

The required measure of a vertical angle is given as 2x + 11.

An angle measures (2x + 11). The measure of an angle that is vertical to the given angle is to be determined.

What is the angle?

orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

here,
The measure of angle remains the same because vertical angles are always equal for the two intersecting lines.

Thus, the required measure of a vertical angle is given as 2x + 11.

Learn more about Angles here:

https://brainly.com/question/13954458

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1) how many 1/4's are in 2/3?
2) how many 5/12's are in 1/2?​

Answers

Answer:

1) how many 1/4's are in 2/3 = 8/3

2) how many 5/12's are in 1/2?=6/5

Step-by-step explanation:

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