Mike and Lilly are working together on a science project. They agreed to

meet halfway between their houses and ride their bikes to the library

together. Approximately how far will Mike and Lilly ride to the library once

they meet each other at the halfway point?

Answers

Answer 1

The approximate distance Mike and Lilly will have to travel between halfway point and Library is 7.8 miles.

From the graph :

Mike's coordinate = (-4, 2) Lilly's coordinate = (2, - 2) Library coordinate = (4, 6)

Meeting point = Halfway point :

(x1 + x2) /2 ; (y1 + y2) / 2

X - coordinate = (-4 + 2) / 2 = - 2/ 2 = - 1

Y - coordinate = (2 + (-2)) /2 = 0/2 = 0

Hence, meeting point = (-1, 0)

The distance between meeting point and library :

Distance = √[(x2 - x1)² + (y2 - y1)²]

Distance = √[(4 - (-1))² + (6 - 0)²]

Distance = √(25 + 36)

Distance = √61 = 7.8 miles

Therefore, the distance between halfway point and library ls approximately 7.8 miles

Learn more :https://brainly.com/question/8283882

Mike And Lilly Are Working Together On A Science Project. They Agreed Tomeet Halfway Between Their Houses

Related Questions

mulitiply: -23x(x+3)

Answers

Answer:

[tex] - 23x(x + 3) \\ { - 23x}^{2} - 69x \\ \\ \\ \\ \\ \\ hope \: it \: helps \\ stay \: safe \: healthy \: nd \:and \: happy[/tex]

Answer:

[tex]-23x^{2} -69x[/tex]

Step-by-step explanation:

Using the distributive property:

[tex]-23x(x+3)[/tex]

You will multiply both the x and the 3 inside the parantheses by the -23x outside.

[tex]-23x[/tex] · [tex]x = -23x^{2}[/tex]

Then:

[tex]-23x[/tex] · [tex]3 = -69x[/tex]

If you combine both you will recieve:

[tex]-23x^{2} -69x[/tex]

The question is in the picture

Answers

Since you’re dealing with a linear equation in slope-intercept form, we know the equation is going to be in the form of y=mx+b.

Therefore, we need to find the slope (“m”) of the line (change in y/change in x), which is rise/run. We also need to find the y-intercept (“b.”)

1.) (0, -3) (1, -1)
We took two points from the line to find the slope. We will use the 2 coordinate pairs to find the slope.

2.) m=(y2-y1)/(x2-x1)
This is the slope “m” formula.

3.) m=( -1+3)/(1-0)
Input the coordinate values into the formula. The +3 you see is due to -(-3)=+3.

4.) m=2/1
We simplified the above formula.

5.) m=2
By division.

We now have the slope or “m.” M=2. Therefore, the equation rises 2 units and runs 1 unit.

Now, finding the y-intercept:

The y-intercept or “b” is where the line intersects the y-axis. It is the starting point of a linear equation.

To find the y-intercept, we need to figure out what the output is when the input is 0. We can see on the table in the picture that with an input of 0, the output is -3.

Therefore, b=-3. This is because an input of 0 means that there is no movement on the x-axis, so we can determine where the where the linear intercepts the y-axis.

Therefore, the equation is y=2x-3, where m=2 and b=-3.

That’s the answer: y=2x-3

Ben has to unload a truck filled with 25 bags of grain for his horses. Each bag weighs 50.75 pounds. How many pounds does he have to lift? *
A) 12,687.50 pounds
B) 1, 268.75 pounds
C) 126.875 pounds
D) 1250 pounds

Answers

Answer:

50.75 x 25 = 1268.75 pounds

Answer:

B) 1,268.75 pounds

Step-by-step explanation:

Multiply the numbers: 50.75 * 25 = 1,268.75

Multiply. Enter the product in simplest form.


3/5 × 2/3
=

Answers

answer: 3/5 x 2/3= 0.4

Answer:

0.4 or 4/10

Step-by-step explanation:

3. 2 5 4

-- x -- = -- = --

5 3 8 10

Math………………………..gomath

Answers

Answer:

The answer is 47.

Step-by-step explanation:

You multiply 5×14 which is 70, and then you take 23 from 70 which is 47

the angle subtended by the minute hand in 25 minutes

Answers

Answer:

150

Step-by-step explanation:

60 minutes = 1 full rotation,

In 25 minutes, we have 25/60 rotation,

25/60 *360

150

Simplify 11 square root 1215

Answers

Answer:

35

Step-by-step explanation:

Its 34.85685 but simplifies to 35.

Answer:

[tex]99\sqrt{15} \thickapprox \:383.42535[/tex]

Step-by-step explanation:

[tex]11\sqrt{1215}[/tex]

Factor [tex]1215[/tex] [tex]=9^{2} \times 15[/tex]. Rewrite the square root of the product [tex]\sqrt{9^{2} } \sqrt{15}[/tex], than take the square root of [tex]9^{2}[/tex].

[tex]11\times 9\sqrt{15}[/tex]

Multiply 11 and 9 which will give you 99.

[tex]99\sqrt{15}[/tex]

_________________________

error error error error

Answers

Answer:

I really like helping people so can you take this app more seriously ..?

Step-by-step explanation:

Use the figure to find the measures of the numbered angles.​

Answers

Answer:

∠3 = 95°

∠4 = 85°

Step-by-step explanation:

Angle 3 and the angle that is already given are Corresponding angles meaning they will be equal.

Angle 3 and Angle 4 are Supplementary angles so their degrees add up to 180°.

Hope this helps!

I need help with this

Answers

Answer:

c

Step-by-step explanation:

Help please help me please

Answers

Answer:

Step-by-step explanation:

Solve the equations. Check your solution.
|x-2|=|4+x|

Answers

ghdhdjhdd dududbribrrh tiene en 73839933

You deposit $6500 in a savings account that has a rate of 9%. The interest is
compounded semiannually. How much money will you have after fifteen years?
Round to the nearest cent.

Answers

Answer:601.85

Step-by-step explanation:

help plzz ill gve brailiest

Answers

Answer:

The 2nd answer is the correct

Step-by-step explanation:

Hope this helps:)

In laissez-faire economics, what is the role of the government in the economy?

Answers

Answer:

In a laissez-faire economy, the only role of the government is to prevent any coercion against individuals.

Step-by-step explanation:

HOPE IT HELP

d/d{cosec^-1(1+x²/2x)} is equal to​

Answers

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

Let assume that

[tex]\rm :\longmapsto\:y = {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

We know,

[tex]\boxed{\tt{ {cosec}^{ - 1}x = {sin}^{ - 1}\bigg( \dfrac{1}{x} \bigg)}}[/tex]

So, using this, we get

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2x}{1 + {x}^{2} } \bigg)[/tex]

Now, we use Method of Substitution, So we substitute

[tex] \red{\rm :\longmapsto\:x = tanz \: \rm\implies \:z = {tan}^{ - 1}x}[/tex]

So, above expression can be rewritten as

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( \dfrac{2tanz}{1 + {tan}^{2} z} \bigg)[/tex]

[tex]\rm :\longmapsto\:y = sin^{ - 1} \bigg( sin2z \bigg)[/tex]

[tex]\rm\implies \:y = 2z[/tex]

[tex]\bf\implies \:y = 2 {tan}^{ - 1}x[/tex]

So,

[tex]\bf\implies \: {cosec}^{ - 1}\bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = 2 {tan}^{ - 1}x[/tex]

Thus,

[tex]\rm :\longmapsto\:\dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg)[/tex]

[tex]\rm \:  =  \: \dfrac{d}{dx}(2 {tan}^{ - 1}x)[/tex]

[tex]\rm \:  =  \: 2 \: \dfrac{d}{dx}( {tan}^{ - 1}x)[/tex]

[tex]\rm \:  =  \: 2 \times \dfrac{1}{1 + {x}^{2} } [/tex]

[tex]\rm \:  =  \: \dfrac{2}{1 + {x}^{2} } [/tex]

Hence,

[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \dfrac{d}{dx} {cosec}^{ - 1} \bigg( \dfrac{1 + {x}^{2} }{2x} \bigg) = \frac{2}{1 + {x}^{2} }}}}[/tex]

Hence, Option (d) is correct.

What is the slope of the function y = − 3/4 x + 5

Answers

-3/4 is the slope.

Good luck!

Answer:

M=3/4

Step-by-step explanation:

What is Prefix? ︎︎ ︎︎ ︎︎ ︎︎​

Answers

a word, letter, or number placed before another.

Giải phương trình:
sin*2x+sinxx.cox=1/2

Answers

Answer:

x = 9.47 degrees  ( in first quadrant.

Step-by-step explanation:

sin2x + sinx cos x = 1/2

Now sinx cos x = 1/2sin2x so:

3/2sin2x = 1/2

sin2x = 1/2 / 3/2

sin2x = 1/2 * 2/3 = 1/3

2x = arcsin 1/3 = 19.47 degrees

x = 9.74 degrees to nearest hundredth.

is 812 and 946 relativly prime?​

Answers

No, they are not relatively prime.

Choose the correct scientific notation. − 0.0003002

Answers

Answer:

         -4

3 × 10

Step-by-step explanation:

HELP PLEASEEEE THIS IS DUE IN LIKE 20 MINUTES

Answers

Answer:

m = 1/4

Step-by-step explanation:

Remember to use y = mx + b

Evaluate (4/25) 1/2

A 4/5

B 4/25

C2/5

D2/25

Answers

(4/25) 1/2 = 4/50 = 2/25

D. 2/25

2/25

Step-by-step explanation:

[tex]\begin{aligned}\tt\left(\frac{4}{25}\right)\cdot\frac{1}{2}&=\tt\frac{4}{50}\to(\div~2)\\&=\tt\frac{2}{25}\end{aligned}[/tex]

PLEASE HELP ME!
Explain what the algebraic solution of a system of two linear equations is and what that means in terms of the graphs of the equations of the system. Use AT LEAST 2 complete sentence in
your explanation. (3 points)

Answers

San ine to you bhai account and I will

The ratio of the number of men to the number of
women working at Forms, Inc. is 7:2. Altogether there
are 360 workers at the company. How many of the
workers are women?

Answers

Answer:

280 men; 80 women.

Step-by-step explanation:

this task can be solved used system of two equation (note, it is not the only and shortest way):

1) if number of men is 'm', women is 'w' and ratio is 7:2, then it is possible to write the first equation: m/w=7/2;

if together there are 360, then it is possible to write the second equation of the system: m+w=360.

2) after item 1 it is possible to make up and solve the system:

[tex]\left \{ {{m/w=7/2} \atop {m+w=360}} \right. \ => \ \left \{ {{7w=2m} \atop {m+w=360}} \right. \ => \ \left \{ {{m=280} \atop {w=80}} \right.[/tex]

In your own words, describe how you would use construction tools to construct a perpendicular to a line. Explain as if you were teaching a Geometry newbie. Use vocabulary in your explanation. Give an example of how you could then prove the line you created was perpendicular to the original line.

Answers

Can u do it by yourself

Simplify using the distributive property:
5(n-3)=

Answers

Answer:

distributive property says x(a+b)

= xa+xb

so 5(n-3)

= 5n-15

Answer: 5n-15

Step-by-step explanation: 5(n-3). multiply n by 5 and -3 by 5 to get 5n-15

Nicole can run 4
laps in 2/5 hour.
How long will it
Hake her to run 5
laps?

Answers

Answer:

15 minutos or

⁵/¹⁰ hour......

Step-by-step explanation:

ñññññññññlñ

Answer:

1/2 hour

2/5=4

x=5

Then cross-multiply

4x=2

x=1/2

In AIJK, k = 26 cm, ZI=135º and ZJ=11°. Find the length of i, to the nearest
centimeter.

Answers

Answer:

•26 cm to S1

Step-by-step explanation:

I KNOW IT THAT ANSWER

Two numbers multiply to be 20 and add to be 12. What are the numbers?

Answers

Answer:2 and 10

Step-by-step explanation:

The number will be 2 and 10
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