Mathematics High School

Lanya's house is located at (2 2/3, 7 1/3) on a map. The store where she works is located at (-1 1/3, 7 1/3). what is the distance from Lanya's home to the store?

Lanya's House Is Located At (2 2/3, 7 1/3) On A Map. The Store Where She Works Is Located At (-1 1/3,

Answers

Answer 1

Answer:

Option A: 4 units is the correct answer.

Step-by-step explanation:

Given that:

Layana's house is located at ([tex]2\frac{2}{3}, 7\frac{1}{3}[/tex])

Store is located at ([tex]-1\frac{1}{3},7\frac{1}3}[/tex])

We can find distance between two points by using distance formula.

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

The points can also be written as;

House (8/3, 22/3)

Store (-4/3, 22/3)

Putting values in the formula.

S = [tex]\sqrt{\frac{8}{3}-(-\frac{4}{3}))^2+(\frac{22}{3}-\frac{22}{3})^2[/tex]

S = [tex]\sqrt(\frac{8}{3}+\frac{4}{3}+0[/tex]

S = [tex]\sqrt{(\frac{8+4}{3})^2[/tex]

S = [tex]\sqrt{(\frac{12}{4})^2[/tex]

S = [tex]\sqrt{(4)^2[/tex]

S = 4 units

Hence,

Option A: 4 units is the correct answer.

Related Questions

9. Angeline bought s yards of satin fabric priced at $8.09 per yard
and c yards of cotton fabric priced at $3.79 per yard.
a) What expression could you use to determine the total cost of
the fabric?

Answers

Answer:

The expression Y = 8.09s + 3.79c  can be used to determine the total cost of the fabric.

Step-by-step explanation:

Given that:

Price per yard of satin fabric = $8.09

Yards of satin fabric bought = s

Price per yard of cotton fabric = $3.79

Yards of cotton fabric bought = c

Let,

Y be the total cost.

Y = 8.09s + 3.79c

Hence,

The expression Y = 8.09s + 3.79c  can be used to determine the total cost of the fabric.

X + 3 =8
X- 5 =7
Please someone help?

Answers

Step-by-step explanation:

x+3=8

8-5=3 so x=5

7+5=12 / 12-7=5

12-5=7

Answer:

the answer is (1) x = 5 (2) x = 12

The sides of a central angle are two_____ of the circle

Answers

Answer:

The sides of a central angle are two radii (aka radius) of the circle

Step-by-step explanation:

Answer:

Radii

Step-by-step explanation:

Are -4 ( x - 6) and -4 • x - 4 • 6 equivalent

Answers

Answer:

 [tex]no[/tex]

Step-by-step explanation:

Lets solve the first half.

[tex]-4 ( x - 6) = -4x + 24[/tex]

Second one:

[tex]-4 times x - 4 times 6 = -4x -24[/tex]

Now compare.....Not the same right??

So your answer is:  [tex]no[/tex]

Hope this helps :)

do you ever realize that if bees go extinxt the bee movie would be historical fiction

Answers

Answer:

people arent afraid of the dark. they are afraid of not being alone in the dark.

Step-by-step explanation:

Answer:

wow i never thougt about that

Step-by-step explanation:

What is the hardest part of solving a triangle with 2 sides given for you?

Answers

Answer:

As long as you understand the principles and rules of trig you can apply them to just about any problem. The hardest thing about word problems is understanding what they are asking.

Step-by-step explanation:

Farhan bought one dozen bananas for $2.40. What is the rate ( cost ) of each banana?

Answers

Answer:

20 cents

Step-by-step explanation:

12 divided by 2.40

James sat an English quiz. He scored 7 out of 8 what percentage did he get right?

Answers

Answer:

James scored 87.5% in the test.

Step-by-step explanation:

7 x 100 : 8 = 87.5%

I will give brainliest!!!

Answers

Answer:

B

Step-by-step explanation:

Okay, so this is a fairly challenging problem.

Parallel lines have the same slop, but different y-intercepts.

The new equation is y = 4/3 x + b

Now substitute x and y for the point's coordinates...

-4 = 4/3 (3) + b

(solve for b)

-4 = 12/3 + b

-4 = 4 + b

b = -8

The final equation is:

y = 4/3 x - 8

In point-slope form, this is B

go answer my last q please and if u answer this q just for the points i will report u

Answers

Answer:

ok i will go on you last q

Step-by-step explanation:

What is the y - intercept?

A. 0
B. 1
C. 2
D. 7​

Answers

Answer:

(0,7)

explanation:

if you draw out the graph you would see the graph touches the y axis at 7

Express 2x2 – 3x – 5 as the product of two binomial factors.

Answers

Answer:

(2x-5) (x+1)

Step-by-step explanation:

Express 2x2 – 3x – 5 as the product of two binomial factors.

factorize the given expression

2x^2 – 3x – 5

2x^2 – 5x+2x – 5

x(2x-5)+ 1 (2x-5)

(2x-5) (x+1)

Hence the expression as the product of two binomial is (2x-5) (x+1)

Please help it’s the last question I have left until I can turn this in please answer ASAP if possible

Answers

Answer:

i cant see

Step-by-step explanation:

solve the inequality

-6 is greater than t-(-13)

Answers

Answer is t >-19


-6>t-(-13)
-6>t+13
-19>t
t<-19

Given f(x) = 2x + 2, solve for x when f(x) = -4


Anyone know the answer? ​

Answers

x=-2 I’m pretty sure that’s the answer! :)

HELP WITH MATH WILL GIVE 10 POINTS, GOOD RATING, AND BRAINIEST

Answers

Answer:

ok.....mmmm............

Answer:

whats the ?

Step-by-step explanation:

Which system of linear inequalities has the point (2, 1) in its solution set?

Answers

Answer:

The 3rd graph

Step-by-step explanation:

Answer: its d on edge 2021

Step-by-step explanation:

If I add 3 to the left side of the equation, what do I have to do to the right side of the equation?

Question 3 options:

nothing


subtract 3


add 3


multiply by 3

Answers

Add 3 because whatever you do to one side you have to do to the other

Is the set of ordered pairs presented in the arrow diagram a function?Explain.

Answers

Answer:

no

Step-by-step explanation:

a function cant have the same range

Answer:

Functions as Arrow Diagrams When the domain and codomain of a function are finite sets then one can represent the function by an arrow diagram. Remember that an arrow diagram represents a function if exactly one arrow must leave each element of the domain and point to one element in the codomain.

Step-by-step explanation:

32°
C
B
D
E
What is the measure of ZABD?
A 32°
B. 58°
O c. 64°
OD. 148°
O E. 180°

Answers

I think it’s C


I hope it’s right

The measure of angle ZABD is 106°, the correct option is D.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The line AE and CD

Now,

The angle sum property to find angle D:

Z + A + B + D = 360° Substitute the given values:

Z + 32 + 58 + D = 360 Simplify:

Z + D = 270 Subtract Z from both sides:

D = 270 - Z

Now, you need to find angle Z. To do that, you can use the fact that opposite angles in a quadrilateral are supplementary, meaning they add up to 180°2. So, angle Z and angle C are supplementary:

Z + C = 180°

You can use the fact that C is an exterior angle of triangle YZX and it is equal to the sum of the opposite interior angles3. Therefore, C = Y + X. Substitute this value:

Z + Y + X = 180°

You are given that Y = 10° and X = 6°. Substitute these values:

Z + 10 + 6 = 180 Simplify:

Z = 164

Now, you can use this value to find angle D:

D = 270 - Z Substitute Z = 164:

D = 270 - 164 Simplify:

D = 106

Therefore, by algebra the answer will be 106°.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ7

EASY QUESTION!! is 12.0095 the same as 12.95?

Answers

no it is not the same

Answer:

no

Step-by-step explanation:

not the same

I don't remember how to solve this

Answers

Answer:

me too i fogort eventhough i did something just like it

2.
11 10 1 2 3
(-3, -2)
(3, 6)

Answers

(3, 6 ) is the answer

Identify the side lengths that form a right triangle.
a. 12, 13, 16
b. 15, 20, 21
c. 9, 40, 42
d. 10, 24, 26

Identify the side lengths that form a right triangle.
a. 3, 4, 8
b. 30, 40, 45
c. 5, 12, 13
d. 6, 12, 13

3. do the side lengths of 8, 10, and 13 form a right triangle?

4. Determine if ▼ABC is a right triangle if AB=36, AC=48 and BC=60​

Answers

Answer:

1. a. no.

b. no.

c. no.

d. yes.

2. a. no.

b. no.

c. yes.

d. no.

3. no it does not.

Step-by-step explanation:

im not sure about number 4 but i hope the others helped!

Help me ur smart ...

Answers

C. 2xy^2-5y^5
Both Binomial and 5th degree polynomial

Write an
inequality to compare – 24 and -14.

Answers

Answer: The position of -24 is to the left of -14.

The position of -14 is to the right of -24.

Step-by-step explanation:

We can conclude that -18 < -2.

We can conclude that -14> -24.

acceleration of a runner who goes from 1.4 m/s to 2.2 m/s in 4 s

Answers

Answer:

acceleration is 0.2m/s²

Step-by-step explanation:

Vf=Vi+at

Lets susbtitute our known variables into the equation

2.2=1.4+a(4)

We get

a=0.2m/s²

Justify whether the equation y=9x−4 defines a linear or nonlinear function.

Answers

Answer:
Linear

Explanation:
A non linear function would have a squared term

Please Help ASAP! The question is in the picture.

Answers

Answer:

$150012.84 or $150013 rounded

The growth factor is 1.07

Step-by-step explanation:

First create the equation:

y=1.07x+150,000

Then substitute:

y=1.07(12)+150,000

Calculate:

y=150012.84

I sell 1 piece of wood for £1000, however the price is now increased by 5000% how much will I make from 64 pieces of wood?

Answers

Answer: £3200000

Step-by-step explanation:

£1000 is 100%, so 5000% is x50 (5000/100) of £1000 which is £50000. Then 64x50000 is 3 200 000. Therefore you will make £3200000 from 64 piece of wood

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