Find the distance between the points (3, 8) and (-1, 9). Round the distance to the nearest hundredth. 3.87 4.12 5.74 2.24

Answers

Answer 1

Answer:

≈ 4.12 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (3, 8) and (x₂, y₂ ) = (- 1, 9)

d = [tex]\sqrt{(-1-3)^2+(9-8)^2}[/tex]

   = [tex]\sqrt{(-4)^2+1^2}[/tex]

   = [tex]\sqrt{16+1}[/tex]

   = [tex]\sqrt{17}[/tex]

    ≈ 4.12 ( to the nearest hundredth )

Answer 2

Answer:

The distance between given points is: 4.12 units

Step-by-step explanation:

Given points are:

(3, 8) and (-1, 9)

Here

[tex](x_1,y_1) = (3,8)\\(x_2,y_2) = (-1,9)[/tex]

The distance is calculated using the following formula:

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Putting the values, we get

[tex]d = \sqrt{(-1-3)^2+(9-8)^2}\\d = \sqrt{(-4)^2+(1)^2}\\d = \sqrt{16+1}\\d = \sqrt{17}\\d = 4.123105...[/tex]

Rounding off to nearest hundredth

d = 4.12 units

Hence,

The distance between given points is: 4.12 units


Related Questions

What the slope of this please help :)

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Answer:

-0.1

Step-by-step explanation:

Answer:

The answer to the question provided is:

[tex] - \frac{1}{10} [/tex]

does anyone understand this i never get it

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Answer: 18

Step-by-step explanation:

6 ÷ 2 = 3

162 ÷ 54 = 3

The constant ratio is 3

6 × 3 = 18

Hope I helped!

I will mark brainliest please help ​

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3.75 quarts=15 cups

Do this worksheets if someone do I will make him or her brainly if correct.

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Answer 17: -6/25-29%-3/10-1/3-34.5%-

Explanation: 6/25 is .24 as a decimal, 29 is .29, 3/10 is .30, 1/3 is .33, and 34.5 is .34

Answer 18: 78% is the same as 7.8/10 not 7/8. 7/8 as a percent is 87.5%

Find the missing side or angle.
Round to the nearest tenth.
B=18°
C=152°
b=4
c=[ ? ]

Answers

Answer:

c = 6.1

Step-by-step explanation:

Given that: B = 18° , C = 152°,  and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

[tex]\frac{b}{Sin B}[/tex] = [tex]\frac{c}{Sin C}[/tex]

[tex]\frac{4}{Sin 18^{o} }[/tex] = [tex]\frac{c}{Sin 152^{o} }[/tex]

c = [tex]\frac{4* Sin 152^{o} }{Sin 18^{o} }[/tex]

 = [tex]\frac{1.8779}{0.3090}[/tex]

 = 6.0773

c = 6.1

Therefore,  the value of the missing side, c, is 6.1

Write the following equation in slope-intercept form: y-3=2x. *

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

Slope- intercept form: y = mx + b

y - 3 = 2x

     y = 2x + 3

5 + r = 7
what does r =

Answers

Answer:

2

Step-by-step explanation:

5+2=7

15-a=20 what value would make this true

Answers

Answer:

a = -5

Step-by-step explanation:

15 - a = 20

Move the constant of 15 to the other side by subtracting it.

-a = 5

Divide by -1 to make a positive.

a = -5

Check.

15 - (-5) = 20

15 + 5 = 20

20 = 20

Answer:

-5

Step-by-step explanation:

15-(-5)=20

5 turns into a positive

15+5=20

What is the distance between the points (-9,5) and (8,5)

Answers

Answer:

17 units

Step-by-step explanation:

Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between (-9, 5) and (8, 5):

Let,

[tex] (x_1, y_1) = (-9, 5) [/tex]

[tex] (x_2, y_2) = (8, 5) [/tex]

Plug in the values into the distance formula:

[tex] d = \sqrt{(8 - (-9))^2 + (5 - 5)^2} [/tex]

[tex] d = \sqrt{(17)^2 + (0)^2} [/tex]

[tex] d = \sqrt{(289 + 0)} [/tex]

[tex] d = \sqrt{289} [/tex]

[tex] d = 17 [/tex]

What is the value of the expression (2/5+2/5)×3/10?
HELP

Answers

What is the value of the expression (2/5+2/5)×3/10?

ANSWER

[tex] \frac{6}{25} [/tex]

EXPLANATION:

[tex]( \frac{2}{5} + \frac{2}{5} ) \times \frac{3}{10} [/tex]

[tex] \frac{4}{5} \times \frac{3}{10} [/tex]

[tex] \frac{6}{25} [/tex]

Decimal Form:

[tex]0.24[/tex]

HopeItHelps you

#CarryOnLearning

If 2^3x-1 = 32 then x = (image included)
a. 5
b. -2
c. 2
d. 4/3
e. -4

Answers

Answer:

x is equal to two.

Step-by-step explanation:

We know that 32 is a power of 2.  It is in fact two to the power of five.  So we can re-express that as:

[tex]2^{3x - 1} = 2^5[/tex]

Because they have the same constant as a base, we can toss the base altogether, and equate the exponents:

[tex]3x - 1 = 5\\3x = 6\\x = 2[/tex]

need help asap please

Answers

Step-by-step explanation:

We know that opposite sides of parallelogram are equal so

t + 10 = 3t

3t-t = 10

2t = 10

t = 10/ 2

t = 5

Therefore the value of the should be 5 so that it makes a parallelogram.

Hope it will help :)

Jason keeps track of the money he earns and spends in the table below. A positive number
means money earned. A negative number means money spent. Which list shows the
amounts in dollars ordered from least to greatest?

Answers

Need more info to solve this

Which graph is the graph of y-2=4(x+5)

Answers

Answer:

The answer is C

Answer:

A

Step-by-step explanation:

y=4(x+5)+2

y=4x+20+2

y=4x+22

The Y-intercept is going to be 22, so we can already eliminate D and C. and so the difference between A and B is that B is a negative line and A is not. And since the slope is not negative in the equation, B cannot be the answer, so A is the answer.

Mylo started making this graph to relate the number of hours he works with the amount of money he is paid. A point representing which information could be added to the graph to show a proportional relationship? A. $16 for working 2 hours B. $36 for working 4 hours C. $40 for working 5 hours D. $58 for working 6 hours\

Answers

Answer:

I can confirm that  the awnser is B

Step-by-step explanation:

I got a 100%

Answer:

B

Step-by-step explanation:

the other person said it was B

The Equation of line K is y=8/7x+3 perpendicular to line k is line L which passes through (-8,3) what is the slope of the equation of line l

Answers

Answer:

mathm waaayys can help you

Step-by-step explanation:

Which is an x-intercept of the graph of the function Y = Cot(3x)?

Answers

Answer:

A on ed 2021

Step-by-step explanation:

if you go on Desmos graphing calculator and graph y = cot(3x)

then graph the points

A. (pi/6, 0)

B. (pi/3, 0)

C. (3pi, 0)

D. (6pi, 0)

POINT A. (pi/6, 0) is the only point that intercepts the graph

The x-intercept of the graph of the function y = cot(3x) is ,

⇒ (π/6, 0)

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Here, The graph of the function is given as:

y = cot(3x)

Now, To determine the x-intercept of the graph, we set the graph to 0.

So, we have:

cot(3x) = 0

Take the arccot of both sides;

3x = arccot(0)

Evaluate the arccot of 0

3x = π/2

Divide both sides by 3

x = π/6

Hence, the x-intercept of the graph of the function y = cot(3x) is

⇒ (π/6, 0)

Learn more about x-intercepts at:

brainly.com/question/3951754

#SPJ7

what is 14/25 as a decimal and as a percent?

Answers

Answer: 0.56 as a decimal 56% as a percentage

Step-by-step explanation:

14/25 = (14×4)/(25×4) = 56/100 = 0.56
0.56 = 56%

pls help, i need this in 5 mins!

Answers

Answer:

85

Step-by-step explanation:

If Log 20 = 1.301 what is the value of Logsub100 20?

I need the step by steps! I can’t find anything videos online to teach this to me

Answers

Answer:

[tex]log_{100}20 = 0.6505[/tex]

Step-by-step explanation:

log20 = 1.301 (when you see only "log" with no base, it is taken as a base 10)

This basically means:

[tex]10^{1.301} = 20[/tex]  (This is the log in exponential form)

Since we don't know what  [tex]log_{100}20[/tex]  is equal to, we will say  [tex]log_{100}20[/tex] = x

So to solve for [tex]log_{100}20[/tex] = x, you do the same thing. (convert to exponential form)

[tex]100^{x} =20[/tex]

Now you will notice that both of these equations are equal to 20.

Since 20 = 20,

we can say [tex]100^{x}[/tex] = [tex]10^{1.301}[/tex]

Another way of saying 100, is [tex]10^{2}[/tex] (make the bases the same)

Now we get [tex]10^{2x} = 10^{1.301}[/tex]      

(we get 2x because an exponent to the power of an exponent ([tex]2^{x}[/tex]) is the same as 2 * x)

Because you have the same base, you can just ignore the 10s and focus on the exponents. So you get:

2x = 1.301

x = 0.6505

9. What is the best model for the data?
Answer choices:
Linear
Exponential
Quadratic

Answers

Answer:

Exponential

Step-by-step explanation:

I think this is the answer but not correct me if I'm wrong

I will mark you Brainly-est pls! I need this done by tomorrow :) it’s 55 points btw

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Answer:

Step-by-step explanation:

9. 1.6f + 0.4j - 13

11. -6y + 13

13. -1/2j + 15

Suppose y varies directly with x. Write a direct variation equation that relates x and y when y = 6 and x = 12

Answers

Answer:

y = 1/2x

Step-by-step explanation:

y = 6

x = 12

y = ax

6 = a(12)

a = 6/12

a = 1/2

y = 1/2x

Hope this helps!

simplify the expression (-6i)(-6i)​

Answers

Answer:

36i^2 i think that's right

plzzz help: The sequence graphed below can be generated using which formula?

Answers

Answer:

The answer is A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Edge2021

i attached a picture please tell me where she made a mistake i am really struggling thanks.

Answers

Answer:

step 1 is wrong ........

2). Parents and doctors wish to compare a child's he
children's heights of the same age. The height is the variable. Yes or NO

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is the variable

SUP= 125 UPE=110 SRE=85 find SUR

Answers

Answer:

m∠SUR = 15°

Step-by-step explanation:

m∠UPE = 110°

m∠UPR = m∠EPR [Given]

m∠UPR = [tex]\frac{1}{2}(m\angle UPE)[/tex]

             = [tex]\frac{1}{2}(110)[/tex]

             = 55°

Since, m∠SRU = m∠UPR [Given in the picture]

m∠SRU = 55°

m∠SRE = m∠SRU + m∠URP + m∠PRE

85° = 55° + m∠URP + m∠PRE

m∠URP + m∠PRE = 30°

Since, m∠URP = m∠PRE

m∠URP + m∠URP = 30°

m∠URP = 15°

Since, m∠URP = m∠SUR [Given in he picture]

m∠SUR = 15°

need help asap please

Answers

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.

I am joyous to assist you at any time.

Which linear function represents the line given by the point-slope equation y + 7 = -2/3 (x+6)?
O f(x) = -x-11
O fx) = x-1
O f(x) = 2x+3
O fx) = 2x + 13

Answers

Answer:

A- f(x) -x-11

Step-by-step explanation:

The top equation y+7= -2/3(x+6) has a

Y-intercept of (0,-11)

Slope=-2/3

Answer A has the the same

y-intercept (0,-11)

Slope of -1

Answer is the only one with the same y-intercept.

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