Find the distance between ( -2,3) and (4,5)

Answers

Answer 1
(-2,3)(4,5)

Distance:-

[tex]\\ \sf\longmapsto \sqrt{(4+2)^2+(5-3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{6^2+2^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{40}[/tex]

[tex]\\ \sf\longmapsto 2\sqrt{10}units[/tex]


Related Questions

can someone please help me with Arithmetic Sequences

Answers

Answer:

287

Step-by-step explanation:

Sum of A Finite Arithmetic Sequnece is

[tex] \frac{a _{1} + a _{n} }{2} n[/tex]

Where a1 is first term

an is final term

N is the number of terms.

We know a1 is 1

An is 40 but we don't know n.

To find n, we use the definition of a Arithmetic Sequence

[tex]a _{n} = a + (n - 1)d[/tex]

where d is the common difference. Let use the final term, 40 as a example.

Here the common difference is 3 so we have

[tex]40= 1 + (n - 1)3[/tex]

[tex]39 = 3(n - 1)[/tex]

[tex]13 = n - 1[/tex]

[tex]14 = n[/tex]

So we have 14 terms in this finite series.

Now we compute

[tex] \frac{1 + 40 }{2}(14) = \frac{41}{2} (14) = 41 \times 7 = 287[/tex]

So the answer is 287

write the equation of the line that passes through the point of (2,-1) and has a slope of -3​

Answers

Answer:

y=-3+5

Step-by-step explanation:

Setting y=Ax+B we find that the slope A=-3 and -1=-3(2)+B which means that B=5. Thus, the equation of the line is y=-3x+5.

Question 2 (1 point)
(05.05 MC)
A system of equations is shown below:
x+y=3
2x - y = 6
The x-coordinate of the solution to this system of equations is

Answers

(3,0)

Step-by-step explanation:

Different - add

2x - y = 6

+

x + y. = 3

3x = 9

÷3

x = 3

Substitute x = 3 into one of the equation:

x + y = 3

3 + y = 3

-3

y = 0

Solution is (3,0)

Hope this helps!

What is the m∡U in the figure shown?

Answers

Answer:

m<U=70

Step-by-step explanation:

we know that the measure of the out side angle is equal to the measure of the 2 inside angles, so 120-50=70

Answer:

∠ U = 70°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ RVU is an exterior angle of the triangle , then

∠ U + 50° = 120° ( subtract 50° from both sides )

∠ U = 70°

If an amount increases by 5. 1% each year, what is the growth factor?

please show steps

Answers

the growth factor is simply the same amount, but in decimal format, so what is 5.1% of anything?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{5.1\% of anything}}{\left( \cfrac{5.1}{100} \right)anything}\implies 0.051(anything)[/tex]

so the growth factor is simply the decimal format of 0.051.

1 + = 24 + 5 what is the answer please help

Answers

Answer:I think it would be 28

Step-by-step explanation:

I think you mean 1+x=24+5, so that's what i'm answering

1 + x = 24 + 5

1 + x = 29

-1.        -1

x= 28

Answers :

the Pythagorean theorem

angle-angle similarity theorem

triangle sum theorem

interior angle theorem

Answers

Answer:

angle-angle similarity theorem

Factor the expression below. 12x3−18

Answers

Answer:

6(2x³-3)

Step-by-step explanation:

To factor the expression: 12x³−18:

We rewrite 12x³ as 6×2x³

And rewrite -18 as -6×3

6×2x³-6×3

Take out the common factor of 6:

6(2x³-3)

This is our answer
Brainliest please!

42=3x+6
what’s x in this equation

Answers

Answer:

X = 12

Step-by-step explanation:

Input 12 for X

[tex]3*(12)+6 = 42[/tex]

Answer:

x = 12

Step-by-step explanation:

The value of x is 12. (Refer attachment)

What is the gradient of 2y=4x+6

Answers

Answer:

The answer is 2.Divide each side by 2

Simplify : y = 2x + 3

Replace x = 1 -> y = 5

We will draw a line that goes through the point 1 on the x axis, and point 5 on the y axis (cant draw right now, sorry xd)

(Now, you can find the gradient by simply forming a right triangle with the hypotenuse being the line itself, but i will use the slope to save time)

We will select 2 points : (1;0) and (0;5)

Replace it into m = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{5-0}{0-1} = -5[/tex]

Beth withdrew $35 from her checking account. in which column should she record the $35 withdrawal? a checking account has columns check number, debits, deposits, balance. check number debit deposit balance

Answers

In the debit column, She records the $35 withdrawal. Debit is balanced in basic accounting by credits,

What is debit?

On a balance sheet of a company, a debit is an accounting entry that results in an increase in assets or a decrease in penalties.

Debits are balanced in basic accounting by credits, which function in the reverse manner.

If anyone withdraws the money from the account. The withdrawal will record in the debit column.

Hence In the debit column should record the $35 withdrawal.

To learn more about the debit refer to the link;

https://brainly.com/question/14279491

Answer: Debit

Step-by-step explanation: took the test (:

there is alot more but i really need help

Answers

The lines are neither

Use the properties of equality to find the value of x in this equation.

4(6x – 7) = 44

Answers

Answer:

x=3

Step-by-step explanation:

4(6x-7) = 44

6x - 7 = 11

6x = 18

x= 3

Can someone please explain this to me??

Answers

the formula for the discriminant is
b^2 - 4•a•c
now that you have this equation, plug in the values
(-17)^2 - 4(4)(3)
you get 289-48 and that is 241 which is the value of the discriminant.
since that value is positive, there are 2 solutions. if it were negative, there would be no solutions. if it were 0, there’d be one solution

Graph f(x) = x and g(x) = 5x + 1. Describe the transformations from the graph off to
the graph of g.

Answers

Answer:

the G graph runs straight through the middle while the F does not

North High School just put on
their Spring musica. The theater
department sold tickets for $5 for
adults and $2 for students. If they
sold 574 fickets for $2,120, how
many of each ticket was sold?

Answers

5x + 2y = 2120

x + y = 574

2y = 2120 - 5x

2y = 1148 - 2x

1148 - 2x = 2120 - 5x

-972 = -3x

x = 324

574 - 324 = y

y = 250

324 adult tickets sold, 250 student tickets sold

Simone is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time t, in years, since Simone started studying the population, and the number of tigers, N(t) year ​ right parenthesis, is modeled by the following function: N year(t)=612⋅(2/3)^t Complete the following sentence about the monthly rate of change in the tiger population.

Answers

Answer:

Every month, the number of tigers decays by a factor of 0.97

Step-by-step explanation:

khan academy!

Every month, the number of tigers decays by a factor of 0.97.

We have given that,

Simone is an ecologist who studies the change in the tiger population of Siberia over time.

What is the exponential equation?

An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = b^x, where b > 0 and b ≠ 1.

The relationship between the elapsed time t, in years, since Simone started studying the population, and the number of tigers, N(t) year ​ right parenthesis, is modeled by the following function: N year(t)=612⋅(2/3)^t

We have to determine to Complete the following sentence about the monthly rate of change in the tiger population.

To learn more about the exponential equation visit:

https://brainly.com/question/12940982

#SPJ2

Please help. I’ll mark you as brainiest and give 20 points

Answers

Answer:

i and iii are correct

Step-by-step explanation:

ur welcome:)

Let f be defined as shown. Which statement is
true?

Answers

Answer:

exist:12703

Step-by-step explanation:

does not exist :8913

SORRY BUT I HAVE ANOTHER PROBLEM!!!!! WILL GIVE BRAINLIEST & 50 POINTS

For all [tex]x \neq -3, \frac{x^2-6x +9}{6x-18} =[/tex]

F. [tex]\frac{x+3}{x-3}[/tex]

G. [tex]\frac{x-3}{6}[/tex]

H. [tex]\frac{1}{x-3}[/tex]

J. [tex]x-3[/tex]

K. [tex]\frac{x}{3}[/tex]

Answers

Answer:

The correct option is G.Hope this help!!

Just factor out

[tex]\\ \rm\hookrightarrow \dfrac{x^2-6x+9}{6x-18}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{x^2-3x-3x+9}{6(x-3)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{x(x-3)-3(x-3)}{6(x-3)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{(x-3)(x-3)}{6(x-3)}[/tex]

[tex]\\ \rm\hookrightarrow \dfrac{x-3}{6}[/tex]

The distance around a meter crater is 9755 ft. Find the diameter of the crater. Use 22/7

Answers

Answer:

[tex]\frac{68285}{44}[/tex] or [tex]1551.93181818...[/tex]

Step-by-step explanation:

[tex]\frac{9755}{2(\frac{22}{7})}\\\\[/tex]

60 POINTS!!
Match the steps to solve the following equation using distributive property. 4 (2x - 6) = 24

Answers

Answer:

1) 8x - 24 = 24

2) 8x - 24 + 24 = 24 + 24

3) 8x = 48

4) x = 6

Step-by-step explanation:

Bolded are the answer choices:

4(2x - 6) = 24

First, distribute 4 to all terms within the parenthesis:

4(2x - 6) = 24

(4 * 2x) - (4 * 6)

(8x) - (24) = 24

8x - 24 = 24.

Next, add 24 to both sides of the equations:

8x - 24 (+24) = 24 (+24)

8x = 24 + 24

8x = 48

8x - 24 + 24 = 24 + 24

Then, divide 8 from both sides of the equation:

(8x)/8 = (48)/8

x = 48/8 = 6

8x = 48

x = 6

~

Please help will mark

A scientist uses the equation shown below to predict the future population of a species. In the equation, y represents the estimated population and trepresents the number of years.
y=150•4^t

Which number is closest to the value of y when t=3/2

Answers

Answer:

1200 i think

Step-by-step explanation:

i used a calculator since its hard for me to do mental math

question 2

(sorry i replied late i was doing some of my school work)

so you make A be equal to 5000 since you want to know when his account will be that much money sooo

5000 = 2000(1.07t)

you divide 2000 from both sides

5000/2000 = 1.07t

5/2 = 1.07t

now you have to isolate t to solve for it

soo divide 1.07 to both sides

5/2 / 1.07 = t

t is equal to about 2.34 or 2 years (depends on what it tells you to round to) in the calc t is 2.336448598

so in maybe 2 years he'll have 5000 dollars

Multiply using the distributive property

Answers

Answer:

see image

Step-by-step explanation:

Nyana ate 1/4 of an apple. Nelmarie ate 1/4 of the same apple. How much of the apple did Nyana and Nelmaire eat in all?​

Answers

Answer:

Nyana and Nelmaire ate 2/4, or 1/2 of the apple in all.

Step-by-step explanation:

1/4 + 1/4 equals 2/4
2/4 is equivalent to 1/2

a car drives 5 1/2 miles in 1/12 hour. what is the speed of the ca in miles per hour.

Answers

Answer:

average speed  3.67mph

Step-by-step explanation:

I don't understand this
the box is in the shape of a cuboid.
height: 60cm
length: 100cm
width: 40cm
Joh wants to fill the box with grit.
A bag of grit costs £2.50
there are 8000cm^3 of grit in a bag.
Joh has £70 to spend on the grit.
Does John have enough money to buy all the grit he needs to fill the box completely?

Answers

We calculate the volume of the cuboid :

60 x 100 x 40 = 240000 cm^3

If every bag has 8000 cm^3 of grit, he will need 240000 : 8000 = 30 bags

Every bag cost £2.50, so he will need £2.50 x 30 = £75

Since he only has £70, he doesn't have enough money to buy the grit.

[tex]\frac{1}{3} + \frac{1}{3}[/tex]

Answers

Answer: 2/3

Explanation: 1+1=2 the denominators don’t change so it’s just 2/3

There are 90 students in Jeanette's grade. 63 of the students are enrolled in health. What percentage of the students are enrolled in health?

Answers

Answer=70

Step-by-step explanation

Total number of jeanette's grade =90

Number of students enrolled in health =63

Therefore. 63/90×100

=0.7×100

=70%

19. The trailer of an 18-wheeler measures 53 ft x 15 ft x 10 ft. How much freight will it hold?
O
A. 7950 ft
OB. 1200 ft
O C. 203 ft
O D. 78 ft

Answers

Answer:

A. 7950 sq. ft

Step-by-step explanation:

Volume of trailer = volume of a cuboid

Volume =  l × w × h

Volume = 53 × 15 × 10 = 7950

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