Using the Distance Formula

For problems 1 - 6, find the distance between each pair of points. Round to the nearest tenth when necessary
1. (0,0) and (-3,4)
2. (1,2) and (6,14)
3. (8,11) and (15, 35)
4. (3,8) and (-5,-7)
5. (-2,-3) and (-1,-4)
6. (-3,5) and (3,5)

Answers

Answer 1

Answer:

Step-by-step explanation:

since I did 1 already ,  i'll do 2 - 6 .. fast

using the formula for distance  =  sq rt [ (x2 - x1 ) ^2  + (y2 - y1 ) ^2 ]

2)  sq rt [ (6-1)^2 +  (14-2)^2

sq rt [ 25 + 144]

sq rt [ 169]

13

3) sq rt [ (15 - 8)^2 + (35-11)^2 ]

sq rt [ 49 + 576 ]

sq rt [625]

25

4) sq rt [ ( -5 -3 )^2 + (-7 - 8)^2 ]

sq rt [ 64 + 225]

sq rt [ 289]

17

5) sq rt [(-1-(-2))^2 + (-4-(-3))^2]

sq rt[ (-1+2)^2 + (-4+3)^2]

sq rt [ 1 + 1 ]

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

6) sq rt [ 3-(-3)^2 + (5-5)^2]

sq rt [ (3+3)^2 + 0]

sq rt [ 9 ]

3

:)  phew....  :P


Related Questions

helppppp! please show your work!

Answers

Answer:

90 - 37 will give a solid 53

Step-by-step explanation:

the two sums of A to C to C to B so 22.9(C, B) and 14.1 (A, C)

and know that this angle is 90 degrees, my guess would be to subtract the to given numbers with degrees to earn the sum so 22.9 + 14.1 equals 37

now we add angle degrees and sum and subtract one another,

90 - 37

What is 77 .35 divided by 3.5

Answers

Answer:

22.1

Step-by-step explanation:

77.35÷3.5=22.1

Have a wonderful day!

that is
[tex]2x + 2x[/tex]

Answers

if you are asking “what is 2x+2x”
the answer is 4x

2+2=4

they both have the variable of x, so it just gets added onto the end

hope this helps!

Answer:

2x + 2x =  4x

Step-by-step explanation:

slope=4; y-intercept =-5

Answers

Y=mx+b I haven’t done this in a while but I think you just plug in so it’ll be Y=4x-5

A circle has two tangents AB and AC that intersect in the exterior of the circle. If the measure of the arc closest to the intersection is 118°, determine the measure of ∠A

Answers

Answer:

62

Step-by-step explanation:

[tex]360 - 118 = 242[/tex]

[tex] \frac{242 - 118}{2} = 62[/tex]

Angle a=62

Which ratio is equivalent to 3:18?
A 6:21
B 5:20
( 7:42
D 12:2

Answers

C 7:42 you just calculate the ratio of an amount then divide by the total number of parts in. The ratio and then multiply this answer by the original ratio

The ratio is equivalent to 3:18 is 7:42.

What is Ratio?

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Ratio = 3:18

         = 1: 6

1. 6:21

= 3:7

2. 5:20

= 1:4

3. 7:42

= 1:6

4. 12:2

= 6:1

Hence, the ratio is equivalent to 3:18 is 7:42.

Learn more about Ratio here:

https://brainly.com/question/13419413

#SPJ5

How many solutions can be found for the equation 5x + 3(x - 1) = 10x - 2x - 3?
None
One
Two
Infinitely many

Answers

Answer:

Infinitely many

Step-by-step explanation:

Equation: 5x + 3(x - 1) = 10x - 2x - 3

1) 5x + 3x - 3 = 10x - 2x - 3

2) 8x - 3 = 8x - 3

3)  8x = 8x

4) x = x

Based on this information, it seems that the best answer would be infinitely many solutions.

please help!! i'll give brainliest and 5 stars

Answers

Answer:

I believe its G. 2x<8

Step-by-step explanation:

An open circle means that it is only less than OR more than, and since the arrow is pointing towards the left, it means that it is less than 8. I really hope this helps!

Help ASAP 15 points

a) What is the length of the side of the small square? Do NOT put units in your answer and round to the tenths.
b) What is the area of the small square? Do NOT put units in your answer and round to the tenths.

Answers

Answer:

Step-by-step explanation:

a) Let's [tex]x[/tex] the length of the side of the small square.

Thus,

[tex]x^{2} + (\sqrt{40})^2 = (\sqrt{50})^2[/tex]

[tex]x^{2} + 40 = 50[/tex]

[tex]x^{2} = 50 - 40[/tex]

[tex]x^{2} = 10[/tex]

[tex]x = \sqrt{10}[/tex]

[tex]x=3.16[/tex]

b) Now, the area of the small square is

[tex]A= x^{2}[/tex]

[tex]A=(3.16)^2[/tex]

[tex]A=9.99[/tex]

Ben made a model (shown below) of the square pyramid he plans to build when he grows up. Find the surface area of the model.

Answers

Answer:

The answer is "[tex]240 \ m^2[/tex]"

Step-by-step explanation:

please find the given diagram image file in the attachment.

In this question, the surface area model includes two things that are square pyramid is equal to the area of the square base and the area of the flour lateral triangle:

[tex]SA= 10\times 10 +4 (\frac{1}{2}\times (10) \times (7))\\\\[/tex]

     [tex]= 100 +4 (\frac{1}{2} \times 70)\\\\= 100 +4 (35)\\\\= 100 +140\\\\=240 \m^2\\\\[/tex]

The surface area of the model is [tex]240 \ m^2[/tex].

Nine-hundred seven tickets were sold for a concert. Seven hundred eighty-nine people attended the concert

Part A: Write an equation for p, the number of people that bought tickets but did not attend.

Part B: How many people bought tickets but did not attend?

Answers

Answer:

A: 907-789=p

B: 118 bought tickets but didn't go.

Step-by-step explanation:

907 is the people that bought the tickets, you subtract the people that did go which is 789 which would give you the people that didn't go but still bought tickets.

Alicia's monthly gross pay is $1,700. Alicia pays 10.5% of her monthly income in federal withholding. How much federal withholding does she pay?

Answers

Answer:

$161.90

Step-by-step explanation:

You divide 1700 by 10.5.

quantos segundos tem um ano?

Answers

Answer:

31,536,000

Step-by-step explanation:

O link pra baixar a resposta :

bit. ly /2X07d ra

what is the solution of
2x-5=3

Answers

Our goal is to solve for x
Our first step is to add 5 to both sides
2x = 8
Our next step is to divide both sides by 2
x = 4

What is the area of the triangle need help!!

Answers

Answer:

40 square units

Step-by-step explanation:

Area of triangle = 1/2×b×h

= 1/2×10×8

= 40 square units

help!! help!! help!! help!! help!! help!! help!! help!! help!! USING THE ELIMINATION METHOD SOLVE THESE PLEASEE HELPPPO!!!!!​

Answers

Answer:

a = 15, b = -14

Step-by-step explanation:

From the question,

a/5 - b/2 = 10

Multiply all through by 10

(a/5)10 - (b/2)10 = 10×10

2a - 5b = 100...................... Equation 1

a - b = 29 ........................ Equation 2

Solving equation(1 ) and equation (2) simultaneously

using elimination  method,

multiply equation (2) by 2.

2a - 2b = 58.................... Equation 3

Substract equation 3 from equation 1

2a - 2a -5b-(-2b) = 100-58

0 - 5b+2b = 42

-3b = 42

b = 42/-3

b = -14.

Substitute the value of b into equation 2

a - (-14) = 29

a +14 = 29

collect like terms

a = 29-14

a = 15.

Hence, a = 15, b =-14

A convex hexagon has interior angles that measure 100°, 127°, 90°, 182°, and 85°. What is the measure of the 6th interior angle?



a. 187°

b. 88°

c. 136°

d. 160°

Answers

The measure of the 6th interior is B. 88

A student was given to solve 25 ×36 . Instead ,he solved 25×63. By how much did his answer differ?​

Answers

Answer:

His answer differ by 675

Step-by-step explanation:

25*36=900

25*63=1575

1575-900=675

Answer:

He will answer as 25*63=1575

WORTH 50 POINTS!!!!!!!!!!!!!!!

1. What is the degree of the monomial 3x^2y^3?

A. 2
B. 3
C. 5
D. 6

2. What is the simplified form of 8b^3c^2 + 4b^3c^2 ?

A. 12bc

B. 12b^3c^2

C. 12b^6c^4

D. 12b^9c^4

3. What is the simplified form of (4j^2 + 6) + (2j^2 + 3) ?

A. 6J^2 --- 3
B. 6J^2 + 3
C. 6J^2 + 9
D. 4J^4 + 3

4. what is the difference of the following polynomials?

(6x^3 - 2x^2 + 4)

- (2x^3 + 4x^2 - 5)
------------------------------------

A. 4x^3 - 2x^2 - 1

B. 8x^3 + 6x^2 - 1

C. 4x^3 - 2x^2 + 1

D. 4x^3 - 6x^2 + 9

( OKAY THIS ONE EVEN HARDER ;-; )

5. f (x) = 3x^3 - 4x^2 + 6x and g (x) = 5x^3 + 2x^2 - 3x. What is f (x) - g (x) ?

A. -2x^3 - 6x^2 + 9x

B. -2x^3 - 6x^2 - 3x

C. 2x^3 + 6x^2 + 3x

D. 8x^3 - 6x^2 - 9x
------------------------------------------------------------------------------------------------------------------
i need my grades to improve a bit so please help ;(

(if you wanna do some work while listening to sugarcrash for an hour then i will send you da link!)

Answers

Answer:

2. 6j^2 + 3

Step-by-step explanation:

Answer:

A=5283

Step-by-step explanation:

Read carefully and choose the name of the student who made the correct statement.... ahhh help

Answers

Kiara is right, they are both the same because it is a steady, constant line

Which of the following cannot be determined?
a. The angle between two vectors.
b. The magnitude of a vector.
c. The point product of a vector.
d. The angle of a vector in standard position.

Answers

Answer:

C point product of a vector.

Step-by-step explanation:

Got it right on Odyssey ware

What is a tree diagram?

a
A drawing with branches of all possible outcomes
b
A written list of all possible outcomes
c
A description of all possible outcomes

Answers

The answer will be C and the reason why is because

Answer:

Ok so a tree diaphragm is used in math. The answer is b a written list because it’s a little small diaphragm used for math also I’m in sixth grade

Step-by-step explanation:

Can someone please help me with this?

Answers

9514 1404 393

Answer:

1.411.99

Step-by-step explanation:

The Pythagorean theorem (see Hint) tells you the length of the hypotenuse (c) is ...

  c² = 1² + 1² = 2

  c = √2 ≈ 1.4142136 . . . units

The estimated value of the length of the hypotenuse is 1.41 units.

__

Of course the shaded square will have an area that is the square of that value:

  area = s² ≈ 1.41² ≈ 1.99 . . . . . rounded to hundredths

The estimated area of the square is 1.99 square units.

__

Additional comment

Of course, we don't have to estimate. We can use the exact value of the side length to determine the shaded square has an area of ...

  area = s² = (√2)² = 2 . . . . exactly

We can also get there by recognizing that the lengths of 1 represent half the length of each of the diagonals of the square. That is, the square's diagonals are both of length 2. The area is half their product, so is (1/2)(2·2) = 2 square units.

Which of the following numbers could not be used to describe a distance walked?
O 12 feet
O - 140 feet
130 feet
O |-125 feet
Home | Lesson AS...
acer

Answers

Answer:

You cant use acre to describe distance walked

Step-by-step explanation: Because 1 acre is 43560ft

6. Identify the restrictions on the domain.
x−7/x+4 ÷ x/x+3

Answers

Answer:

x cannot = -4 and -3

Step-by-step explanation:

If m∠XWY=20∘,m∠XWZ=40∘, and XY = 16, what is the value of YZ?

Answers

Answer:

YZ=16

Step-by-step explanation:

Because they are parallel

Help me please I really need this to be done

Answers

Answer:

852

Step-by-step explanation:

1420 ×60% as an equation would be: 1420×.60

PLEASE HELPP!! PLEASEE

Answers

Answer:

The rate of change is -300 meters per minute

Step-by-step explanation:

Here, we want to get the rate of change for the given situation

Firstly, we will need to collate the points

Let us have the points as:

(time, height)

The points are;

(10,4500) and (15,3000)

The formula for the slope m representing the average rate of change is;

m = (y2-y1)/(x2-x1)

m = (3000-4500)/(15-10) = -1500/5 = -300 meters/minutes

Mathematics Question!

Mika estimated the sum of 189.27, 15.8, and 11.2 by rounding each number to the nearest whole.

What was Mika’s estimate and what is the actual sum of the numbers?

Enter your answers in the boxes

Mika estimated the sum to be blank. The actual sum is blank


PLEASE DON’T ANSWER IF YOU DON’T NO THE ANSWER!

Answers

Answer:

Mika's estimated the sum to be 216. The actual sum is 216.27

Step-by-step explanation:

Mika:

189.27 = 189

15.8 = 16

11.2 = 11

189 + 16 + 11 = 216

Actual:

189.27 + 15.8 + 11.2 = 216.27

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! HELP !!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

I’m pretty sure it’s cube?
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