what is the distance between points (4,0) and (-2,-3)

Answers

Answer 1

Hi! I'm happy to help!

To solve this equation, we need to find how much distance is between the y coordinates, how much distance is between the x coordinates, and then use the Pythagorean Theorem.

Let's start with finding the distance between the x coordinates. The first x coordinate is 4, and the second is -2. This means that the distance in x is 6.

Next, we need to find how much distance is between the y coordinates. The first y point is at the y coordinate 0, and the second is at the y coordinate -3. This means that the distance in y is 3.

Now we use the Pythagorean Theorem, which says that a²+b²=c²

A and b refer legs of a right triangle, and c refers to the hypotenuse (longest side) of the right triangle. Imagine the two points on a line, the direct distance is the c, and the y and x movements alone are a and b.

Let's say x is a, and y is b. Let's insert our values:

6²+3²=c²

36+9=c²

45=c²

To find c, we need to find the square root of 45

√45

6.708203...

Rounds to about 6.7 in tenths.

So, the distance between those two points is about 6.7.

I hope this was helpful, keep learning! :D

Answer 2

Answer:

im doing online school and the correct answer is 6.7

Step-by-step explanation:


Related Questions

What is the slope of the given graph?

Answers

Answer:

Looks like it's 1.

Step-by-step explanation:

Since it is a positive slope and it goes up 1 unit, the slope is 1.

Solve 3x − x + 2 = 12.

Answers

X=5 is ur answer my guy it’s simple math

2x=12_2 2x=10 x=5 that answer

Amaya wants to jog 8 Miles this week she has jog 2 1/2 miles on Monday and 3 2/5 miles on Wednesday how many miles does amaya still need to jog to meet her goal​

Answers

Answer:

2 1/10 miles.

Step-by-step explanation:

She has already jogged 2 1/2 + 3 2/5 miles.  This is 2 5/10 + 3 4/10 or 5 9/10.  8 miles is also equal to 7 10/10 miles.  So, to find the remaining amount of miles, we can do 7 10/10 - 5 9/10 = 2 1/10.

Amaya still needs 2.1 miles to jog to meet her goal​.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

Operators who let do basic mathematical calculations.

- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that this week she has jog 2 1/2 miles on Monday and 3 2/5 miles on Wednesday

She has already jogged 2 1/2 + 3 2/5 miles.  

⇒ [tex]2\dfrac{1}{2} + 3\dfrac{2}{5} = \dfrac{5}{2} + \dfrac{17}{5}[/tex]

Convert fractions into decimals,

⇒ 2.5+3.4

Apply the arithmetic operation,

⇒ 5.9

So, to find the remaining amount of miles,

⇒ 8 -5.9 = 2.1

Hence, Amaya still needs 2.1 miles to jog to meet her goal​.

Learn more about Arithmetic operations here:

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Refer to the number line. Find the coordinate of point H that is 1/5 of the distance from C to F.
A B C
DEF
-7-6-5-4-3-2-1 0 1 2 3 4 5 6 7

Answers

Number lines are used to represent numbers on a line at regular intervals. The coordinate of point H is -2.2

From the number line, we have:

[tex]C = -4[/tex]

[tex]F = 5[/tex]

First, we calculate the distance between C and F using absolute functions

[tex]CF = |C - F|[/tex]

[tex]CF = |-4- 5|[/tex]

[tex]CF = |-9|[/tex]

Remove absolute bracket

[tex]CF = 9[/tex]

Point H is [tex]\frac 15[/tex] of the distance so, we have:

[tex]H = \frac 15 CF[/tex]

[tex]H = \frac 15 \times 9[/tex]

[tex]H = 1.8[/tex]

This means that point H is 1.8 from the right of C.

So, the coordinate of H is:

[tex]H = C + 1.8[/tex]

[tex]H = -4 + 1.8[/tex]

[tex]H = -2.2[/tex]

Hence, the coordinate of point H is -2.2

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A boy is 12 years old his mother is four times as old as he is in x years time the mother will be three times as old as. the son form an equation in x and hence find x




plzzzzzzz help ​

Answers

Answer:

age of boy = 12

age of mother = 4 times age of boy = 4*12 = 48

let x = years time

3(12+x) = 48+x

36+3x = 48+x

3x-x = 48-36

2x = 12

x = 6

In 6 years time the mother will be three times as old as the son.

pleasexmark me as brainlist

need some help with 8th grade math

Answers

Answer:

D = (3,3)

E = (-5,0)

F = (-2,2)

Step-by-step explanation:

the y axis is the vertical line of the graph so an example of flipping would be (-3,5) turns to (3,5) changing only the x value same the other way around (5,-9) turns to (-5,9) only the x value changes symbol

Answer:

D1 = (3, 3)     E1 = (-5, 0)      F = (-2, -2)

Step-by-step explanation:

D1 = (3, 3)

E1 = (-5, 0)

F = (-2, -2)

Only answer number 37.

Answers

Step-by-step explanation:

Use the distance formula:

(x2, y2) with (x1, y1)

[tex] d \: = \sqrt{( x2 \: - \: x1) {}^{2} \: + \: (y2 \: - \: y1) {}^{2} } [/tex]

Find the lengths of each segment one at a time.

For AC:

A(-3,8) C(0,2)

[tex]d = \sqrt{( - 3 - 0) {}^{2} + (8 - 2) {}^{2} } [/tex]

[tex]d \: = \sqrt{9 + 36} [/tex]

[tex]d \: = \sqrt{45} = 3 \sqrt{5} [/tex]

For BC:

B(6,5) C(0,2)

[tex]d \: = \sqrt{(6 - 0) ^{2} + (5 - 2) {}^{2} } [/tex]

[tex]d \: = \sqrt{36 + 9} [/tex]

[tex]d \: = \sqrt{45} = 3 \sqrt{5} [/tex]

For CD:

C(0,2) D(2,-4)

[tex]d \: = \sqrt{(0 - 2) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]

[tex]d \: = \sqrt{4 + 36} [/tex]

[tex]d \: = \sqrt{40} = 2 \sqrt{10} [/tex]

With all the segment lengths found, we can conclude that segments AC and BC have the same lengths.

Which represents a unit rate ?

A. The cost of cat food is $36 per 3 bags
B. The cost of orange juice is $3 per jug
C. The cost of photocopies is $1 per 10 pages
D. The cost of roses is $50 per 2 dozen

Answers

B. The cost of orange juice is $3 per jug

A unit rate, in terms of mathematics, is a rate per unit.

Examples of unit rates are:

The car travels 25 km per hour

The cost of bags of apples is $6.00 per bag of apples.

The unit rate in these choices is Choice B:

The cost of orange juice is $3 per jug

The other choices are rates, not unit rates.

B, unit rate means the cost of one item so in option A it’s the cost for three bags not one item/bag, in option B it’s the cost of one jug so that would be your answer but we could check it with the rest. Option C is the cost per 10 pages not one so that choice is eliminated, choice D is per two dozen not one so that choice is also eliminated

Cuantos gramos de grasas saturadas hay en 100 g de leche entera en polvo?

Answers

Answer: Well 100g is 100 grams so 100 grams?

Step-by-step explanation:

Look below :)
Everything is underneath, ty. Just need an answer by Wednesday

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{3}{6}=\dfrac{9}{18}=\dfrac{27}{54}[/tex]

[tex]\dfrac{3*3}{6*3}=\dfrac{9}{18}\\\\\\\dfrac{3*9}{6*9}=\dfrac{27}{54}[/tex]

18
A company is expanding its building area from 16,500 square feet to 22,605 square feet. What is the percentage increase of the
area of the building space?

Answers

the answer is 37%

: 16500*37%= 6150

6150+16500=22605 :correct

note that one movable point always defines an extremum point

Answers

Answer:

And

Step-by-step explanation:

Noted Sir. Thanks A Lot 2 U

A woman stands on a mountain at 8,000 feet above sea level. A man stands in a valley at 400 feet below sea level. What equation shows the difference in their elevations?

8,000 + (-400) =
8,000 - 400 =
8,000 - (-400) =
-8,000 - 400 =

Answers

Answer:

8,000 - (-400)

Step-by-step explanation:

Answer: 8,000 - (-400) =

Step-by-step explanation:

IF A= { a, b, c d and B={a,b,c,d}
how can I solve this

Answers

Answer:

what we have to prove or equation ?

PLS HELP WILL MARK AS BRAINLIEST ​

Answers

Answer:

SEE THE IMAGE FOR SOLUTION .

HAVE A GREAT DAY

Answer:

11. D

12. C

13. D

14. B

15. E

Step-by-step explanation:

11.

1/3 + 1/2 = 2/6 + 3/6 = 5/6

A is 3/4

B is 2/3

C is 9/10

D is 4/5

E is 2/5

the closest to 5/6 is 4/5.

12.

this is totally easy. just simply additions and one subtraction (to see what is left).

8+10+9 = 27

so, he has

60 - 27 = 33 hours left

13.

the mean value of a series of equal weighted numbers is simply their sum divided by the amount of numbers.

so,

(2+5+3+6+4)/5 = 20/5 = 4

14.

a scale factor is always applied to all dimensions, otherwise the result will be distorted. and that would be especially bad for a map.

so, clearly the width of the larger map is 3 times the width of the smaller map. therefore, the length of the larger map has to be also 3 fine the length of the smaller map.

3×6 = 18

15.

3t - 10 = 8

3t = 18

t = 6

2= 2.27- m/4

How do I do this?! I need this for mathematics homework!

Answers

Answer:

1.08 = m

Step-by-step explanation:

2= 2.27- m/4

Subtract 2.27 from each side

2-2.27= 2.27-2.27- m/4

-.27 = -m/4

Multiply each side by -4

-.27 * -4 = -m/4 *-4

1.08 = m

93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)]
(b) lim x→3 g[f(x)]

Answers

Answer:

a) 23 and b) 13

Step-by-step explanation:

I. If f(g(x)) is composit function

Find fog and gof

     fog = 3(g) - 1

           = 3(x+5) -1

           = 3x + 15 -1

           = 3x + 14

    gof = (f) + 5

          = (3x - 1) +5

          = 3x + 4

II. Fill in a) and b) question

            lim x -> 3 fog

           = 3(x) + 14

           = 3(3) + 14

          = 9 + 14

       a)  = 23

            lim x-> 3 gof

           = 3x + 4

           = 3(3) + 4

           = 9 + 4

        b)  = 13

Got more question or something to discuss, leave comment below

Show work please

[tex] \sqrt{ \frac{45}{5} } [/tex]

Answers

Answer: 3

Step-by-step explanation:

[tex]\sqrt{ \dfrac{45}{5}} =\sqrt{9}=\bold3[/tex]

Answer:

3

Step-by-step explanation:

We don't really need to simplify this, but if you do:

45/5 is the same as 45 ÷ 5 so

45/5 = 9

Now we have to find the square root of 45/5(or 9). The square root of a number(x for example) is the number(y) that multiplied by itself once will equal x or y · y = x.

For this you can use a calculator:

[tex]\sqrt{\frac{45}{5} }[/tex] = 3

or

[tex]\sqrt{9}[/tex] = 3

express each of the following in standard form 0.000000000221​

Answers

Answer:

[tex]2.21 \times {10}^{ - 10} [/tex]

Step-by-step explanation:

When we shift (.) from left to right in scientific notarion, the power of 10 varies in negative numbers according to how many numbers we shift.

A rectangle has perimeter 56 cm and length 21 cm. What is its width?

Answers

answer the answer is 7.

hhhhhhhhhhh

Answer:

width=7 cm

Step-by-step explanation:

perimeter=2(lengths+width)

        56   =2(21+x)

         56  =42+2x

   56-42  =2x

        2x    = 14

            x   =7    

therefore the width=7 cm

what is six over seven times two and three over fourteen?​

Answers

The answer is 72 if you mean two multiplied by three by fourteen

 and seven is equal to six times a number.

Word problems can be tricky no matter what level of math or science you are in.

First look at the question for words that indicate mathematical symbols.

"times" indicates multiplication

"and" indicates addition

"a number" means we have a variable, x, to solve for

Now we can go from left to right and write it in a mathematical equation

7x + 7 = 6x

Then, solve for x

7x + 7 = 6x

7 = 6x - 7x

7 = -1x

7/-1 = x

x = -7

Finally, we check our work.

7x + 7 = 6x

7(-7) + 7 = 6(-7)

-49 + 7 = -42

-42 = -42 √

 

The answer is x = -7

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Parviz F. answered • 02/11/14

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Mathematics professor at Community Colleges

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 First thing you do in word problems : choose a variable for unknown, what problem is asked you to find.

 

       n    the number

     

       7n     7 times the number

 

        7n + 7       7 times the number and 7

 

      Then the problem says it is equal  6n , make the equation

 

       7n + 7 = 6n

 

       and solve:

 

        7n - 6n = -7

 

         n = -7  / is the answer

 

      

 

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KERITHA C. answered • 02/25/18

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If 1 is added to seven times a number, the result is equal to 2 more than six times the number. Find the number.

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Rodney S. answered • 02/16/14

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Certified Math Teacher (Grades 6 and Up) for Hire

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Seven times a number and seven is equal to six times a number.

 

Step 1:  Translate the verbal to Algebra.

 

7x + 7 = 6x.  ("And" means addition if no other operation is present.)

 

Step 2:  Solve for x.

 

7x - 6x + 7 = 6x - 6x.      (subtract 6x from both sides)

 

1x + 7 = 0.             (Simplify)

 

1x + 7 - 7 = 0 - 7.      (subtract 7 from both sides)

 

1x = -7.             (Simplify)

 

1x/1 = -7/1.        (Divide both sides by 1)

 

x = -7.              (Simplify)

 

Step 3:  Check 7 times the number -7 and 7 is equal to six times the number -7.

 

7(-7) + 7 = 6(-7)

 

-49 + 7 = -42

 

-42 = -42.   (Both sides are equal!)

 

The number again is -7.

 

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Vivian L. answered • 02/10/14

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Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACH

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Hi Alyson;

7x+7=6x

Let's subtract 7x from both sides...

7x+7-7x=6x-7x

7=-x

Let's multiply both sides by -1...

(-1)(7)=(-1)(-x)

-7=x

Let's check our work...

7x+7=6x

[(7)(-7)]+7=(6)(-7)

-49+7=-42

-42=-42

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im going to give and example: 7(b+3) would the answer be -8z?

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12-7*6+19-14=11

Quick please I really need this

Answers

Answer:

y = 39

Step-by-step explanation:

550 x [tex]\pi[/tex] = [tex]\pi[/tex] [tex]r^{2}[/tex] x 11 + y

550 x [tex]\frac{7}{22}[/tex] = [tex]\frac{7}{22}[/tex] x 11 x 11 + y

550 x [tex]\frac{7}{22}[/tex] x [tex]\frac{22}{7}[/tex] = 11 x 11 + y

550 = 11 x 11 + y

[tex]\frac{550}{11}[/tex] = [tex]\frac{11}{11}[/tex] x 11 + y

50 = 11 + y

50 - 11 = y

39 = y

C. Find the equation of the line perpendicular to
y = 14x-5 and passing through (2,-3).

Answers

Answer:

[tex]y = -4x + 5[/tex]

Step-by-step explanation:

We want to find the equation of the line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{4} x - 5[/tex]

And which passes through the point (2, -3).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

In other words, since the slope of the original line is 1/4, the slope of the perpendicular line will be -4.

We are also given that it passes through the point (2, -3). Hence, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x- x_1)[/tex]

Substitute:

[tex]\displaystyle y - (-3) = -4 (x - (2))[/tex]

Simplify:

[tex]y + 3 = -4(x - 2)[/tex][tex]y = -4x + 5[/tex]

Distribute:

[tex]y + 3 = -4x +8[/tex]

And subtract:

[tex]y = -4x + 5[/tex]

In conclusion, our equation is:

[tex]y = -4x + 5[/tex]

Amy owes her mother $76. She pays her mother $14 on Sunday and $24 on Monday. Use an expression to describe the situation. How much does Amy still owe her mother?

Answers

Answer:

Amy still owes her mother $38.

Step-by-step explanation:

76 - 14 - 24

76 - 14 = 62

62 - 24 = 38

A sailboat travels a distance of miles in of an hour. Which complex fraction represents the unit rate in miles per hour?

Answers

Answer: I think its D and A

Step-by-step explanation:

Answer:

im pretty sure its D and also A

Step-by-step explanation:

The size of a population of fish in a pond is modeled by the function P, where P(t) gives the number of fish and t gives the number of years after the first year of introduction of the fish to the pond for 0≤t≤10. The graph of the function P and the line tangent to P at t=4 are shown above. Which of the following gives the best estimate for the instantaneous rate of change of P at t=4 ?

Answers

The slope (m) will be "279.33". A further solution to the question is provided below.

At one moment this same instantaneous modification rate would be the same with the functionality derivative assessed somewhere at the time. In certain other terms, the pitch of such tangent line towards the curvature is somewhere at a level equivalent to that as well.

According to the question,

(x₁, y₁) = (3, 0)(x₂, y₂) = (6, 838)

As we know,

⇒  [tex]Slope (m) = \frac{y_2-y_1}{x_2-x_1}[/tex]

By substituting the values, we get

⇒                  [tex]=\frac{838-0}{6-3}[/tex]

⇒                  [tex]=\frac{838}{3}[/tex]

⇒                  [tex]=279.33[/tex]

Learn more:

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The instantaneous rate of change is the rate of change at a particular point or instant in the graph. The instantaneous rate of change of P at [tex]t=4[/tex] is 250

I've added as an attachment, the graph that represents the population of the fish.

To determine the instantaneous rate of change at [tex]t=4[/tex], we simply calculate the slope (m) of the tangent line using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Because of the scale of the graph, I will use the following estimated points from the tangent line

[tex](x_1,y_1) = (3,0)[/tex]

[tex](x_2,y_2) = (4,250)[/tex]

So, the slope is:

[tex]m = \frac{250 - 0}{4 - 3}[/tex]

[tex]m = \frac{250}{1}[/tex]

[tex]m = 250[/tex]

Hence, the instantaneous rate of change of P at [tex]t=4[/tex] is 250

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what is the constant of the proportionality in the equation y = 7x

Answers

Answer:

7

Step-by-step explanation:

The equation of direction variation is

y = kx where k is the constant of variation

y = 7x  so 7 is the constant of variation

Answer:

7

Step-by-step explanation:

The equation of direction variation:-  

y = kx where k is the constant of variation -> Eq 1  

y = 7x  -> Eq 2

Comparing Eq 1 and Eq 2,

k=7


If PQ = 6x - 1 and PR = 15x - 29,
then QR = ?

Answers

Answer; QR = 9x - 28

Explanation:

PR - PQ = QR
15x - 29 - 6x + 1 = QR
9x - 28 = QR

factorize the following questions
1. a^8-b^8
2. 32y^4 - 162

Answers

Answer:

1. [tex]2(16 {y}^{4} - 81)[/tex]

2. [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex]

Step-by-step explanation:

1. [tex] a^{8} - {b}^{8} [/tex]

➡️ [tex]( {a}^{4} - {b}^{4} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]( {a}^{2} - {b}^{2} ) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex](a - b) \times (a + b) \times ( {a}^{2} + {b}^{2} ) \times ( {a}^{4} + {b}^{4} )[/tex]

➡️ [tex]2(16 {y}^{4} - 81)[/tex] ✅

---------------------------------------------------

2. [tex] 32 {y}^{4} - 162[/tex]

➡️ [tex] 2(16y^{4} - 81)[/tex]

➡️ [tex]2(4 {y}^{2} - 9) \times (4 {y}^{2} + 9)[/tex]

➡️ [tex]2(2y - 3) \times (2y + 3) \times (4 {y}^{2} + 9)[/tex] ✅

A(-2,3)
Triangle ABC has vertices at A(-2,3), B(-3,6), and
C(2,-1) Is triangle ABC a night triangle? If so, which
angle is the night angle?
O No, the triangle has no right angles.
O Yes, the right angle is angle A
O Yes, the right angle is angle B
O Yes, the right angle is angle C
VA
C (2-1)
B (-3,-6)

Answers

second choice i’m prolly wrong

Other Questions
A bag has 3 red marbles, 2 blue, 4 greens and 1 yellow. What is the probability of pulling a blue, putting it backin the jar and then pull a green?Show Your Work For patients that take several medications throughout the day, a helpful key can be the use of ANSWeR RIGHT ANDIL ALSO GIVE 5 STAR AND BRAINLIEST Help! Solve the equation: a/0.4 = 20 the pituitary gland produces hormones such as According to _____ ______, if the government does not protect the people's natural rights, they can break the contract with the government and replace them. Thomas JeffersonThomas HobbesCharles MontesquieuJohn Locke How should we utilise the landform of Nepal for economic progress of the Nation? Suggest any seven point What is a fact sheet?A. information about the job position you are applying forB. information about your jobs, educatipn, and contact information for refeC. facts about the company where you are applying for workD. facts about the career field from your research outline 2. Which word best describes Heron? A kind B thoughtless C silly D powerful My backyard is 5.5 metres by 12 metres. (That is a length of 5.5 m and a width of 12 metres). I have poured a concrete slab in the top right corner where I have placed my shed which is 3 metres by 3 metres. I am also going to create a flower bed which will be half a metre from the fence on the left side and top end of the backyard; hugging the fence.I need to order buffalo grass to cover the rest of the space. How much square metres worth of Buffalo Grass will I need?How much will it cost me considering that Bunnings sell Buffalo Grass for $14.20 per metre squared? . What role(s) did Africa play in the Indian Ocean Trade Network SwagggggGGGGGGGGGGGGGG 51. Evaluate each of the following, and write the answer tothe correct number of significant figures.a. 97.381 + 4.2502 + 0.99195b. 171.5 + 72.915 8.23c. 1.00914 + 0.87104 + 1.2012d. 21.901 13.21 - 4.0215 20 points if these are correct pls. find the slope of the line Write the rational numbers whose multiplicative inverse are themselves Solve for c. b/c = a Convert 2 yards to centimeters. Round to the nearest wholecentimeter. Underline the simple subject and the simple predicate.The male lion impressed the zoo visitors with his loud roar. The ships captain closely examined the map. Lazlo divided the roasted sweet potatoes into four portions. Sticky syrup flowed from the overturned bottle. Most birds fly because they have wings. i need help with this plese asap [tex] \frac{1}{ \sqrt{2} + 1 } + \frac{1}{ \sqrt{2} + \sqrt{3} } + ... + \frac{1}{ \sqrt{n + 1} + \sqrt{n} } \leqslant 20[/tex]help....................