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?
Answers
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
sup my guys.
simplify.
12/232 x 24/127 =
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Answer:
36/3683
Step-by-step explanation:
Consider the following Function:
F(x)= 7x-9
If the output is 26, what is the input?
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★ Input of the given function F(x) is 5.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Given:-✯ F(x) = 7x - 9
✯ Output = 26
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-According to the question the output is 26.
Hence, the above data can be written in an equation form.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ F(x) = 7x - 9 = 26
➪ 7x = 26 + 9
➪ 7x = 35
➪ [tex]\sf x = \dfrac{35}{7}[/tex]
➪ [tex]\bold\red{x = 5}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, F(x) = 5
A bacteria colony started with 2 bacteria. The colony is growing exponentially at 10% per hour. How long will it take to have 1 million bacteria?
Answers
Answer:
the time taken for having 1 million bacteria is 137.68 hours
Step-by-step explanation:
The computation is shown below:
y = 2 × (1.10)^x
1,000,000 = 2 × (1.10)^x
500,000 = (1.10)^x
x = log (500,000) ÷ log (1.10)
= 137.68 hours
hence the time taken for having 1 million bacteria is 137.68 hours
Given the explicit formula for an arithmetic sequence, find the first five terms and the term names in the problem: t(n) = -7.1-2.1n Find t(27)
Answers
Answer:
t(n) = -7.1 - 2.1n
t(27) = -7.1 - 2.1(27)
t(27) = -7.1 - 56.7
t(27) = -63.8
for the n term 1,2,3,4,5 you can use it like previous I have done
Can some one help me with this problem? I’m completely lost with this one
Answers
Answer:
C
Step-by-step explanation:
Write an equation of the line with a slope of -7 and y-intercept of 1
Answers
Answer:
y = -7x + 1
Step-by-step explanation:
You put it in the form y = m*x + b
Where m = the slope, so -7 and b = the y-intercept, so 1.
This means it's y = -7x + 1
Note: this answer assumes the equation can be put in slope-intercept form.
Answer:
y = -7x + 1
Step-by-step explanation:
Slope-intercept form, or y = mx + b format, is written in a way that easily reflects the slope and y-intercept of a line. The m, or the coefficient of the term with the x, represents the slope. The b represents the y-value of the y-intercept.
Therefore, substitute the number -7 and 1 in place of those variables. Since -7 is the slope, substitute in place for m. Since 1 is the y-intercept, substitute in place of b. This gives us the equation y = -7x + 1.
A bakery offers a sale price of $2.70 for 3 muffins. What is the price per dozen? The price per dozen muffins
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Answer:
Step-by-step explanation:
i think your asnwer would be 14 dollers but im not to sure
hope this helps
i am so sorry if i am wrong
pls help me i will mark the brainlyiest thingg if you get it right
Answers
Answer:
(3x+6) degrees+(5x+4) degrees equals 90 degrees
Step-by-step explanation:
Answer:
try 3x+6+5x+4=90
sorry if it's wrong
What is a secure line of credit?
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Answer:
A secured line of credit means you're promising an asset like real estate or a savings account as collateral in case you don't pay back what you owe. With an unsecured line of credit, you don't have to put down an asset as collateral to secure the loan.
16.Speedy Rentals charges $300 per month to rent a car plus an initial deposit of $500. Thrifty Rentals charges $200 per month to rent a car plus an initial deposit of $1,000. (a)If you wanted to rent a car for 4 months, which company's cost would be lower? (b)For how many months would you have to rent a car for the price to be the same for both companies?
Answers
Answer:
A: Speedy Rentals is $100 cheaper if you only rent a car for 4 months
B: If you rented a car for 5 months then both places woulb be the same amount
Step-by-step explanation:
Susanna purchased a shirt for $5, pants for $10, and a jacket for $25. She wants to buy at least one purse for the outfit, but she wants to have something left of her original $65. How much money might she spend on the purse?
Answers
Answer:
$15 dollars left after you purchased everything except the purse.
Step-by-step explanation:
5+10+25=40
65-40=15
if you have $15 left it depends on how much the purse costs.
Say it costs $10 dollars you would have $5 left and so on
PLEASE HELP-
Which statements accurately compare the different functions check all that apply (multiple answers)
Answers
===================================================
Explanations:
Choice A) This is true. The y intercept is where graph crosses the y axis. The blue V shaped graph and the orange parabola cross at 8 on the y axis. Therefore, they have the same y intercept.Choice B) This is true. The x intercept is the same for both the orange parabola and red square root curve. They both cross or touch the x axis at 2.Choice C) This is false. For example, the value x = 0 is not in the domain of the square root function, but it is part of the domain of the absolute value function.Choice D) This is true. You have the correct answer. There is no y intercept because the square root curve does not touch or cross the y axis.Choice E) This is false. The first part about the square root function having a minimum domain value is true. This is x = 2, which is the smallest x value allowed. However, the part about the other two functions having a minimum range value is false. The arrows on the parabola indicate the curve goes forever downward. There is no smallest y value on the parabola. The same applies for the absolute value graph as well. Since both parts of choice E aren't true, this means the complete statement overall is false.Answer:
A, B, D
Step-by-step explanation:
Right on edge 22
Place these fractions in order from least to greatest: 3/8 , 1/4 , 1/2 , 2/3 , 5/6 , 1 1/2 , 1 5/8
Answers
Answer:
it’s in order but switch the 3/8 and the 1/4?
Step-by-step explanation:
Find the equation of the line
y=___x+___
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y = x+3 Solve by substitution. 2x + y = -6 What is the solution?
Answers
Answer: x= -1/2y-3
Step-by-step explanation:
plug in x+3 for the y variable.
2x + x + 3 = -6
3x + 3 = -6
3x = -9
divide by 3 on each side
x = -3
I will only give points if you give me a long answer (not THAT long.). Now, what is 100 x 300. Make sure to give a long answer but not that long. So enjoy your day.
Answers
Answer:
100×300=3000
Step-by-step explanation:
hope the picture attached helps
2] The band has a ratio of boys to girls of 5 to 4. There are 171 students in the band.
(Make sure to write out in words first)
How many are boys?
How many are girls?
Give work for each
Answers
9514 1404 393
Answer:
There are 95 boys.There are 76 girls.Step-by-step explanation:
The fraction that is boys is 5/(5+4) = 5/9. That fraction of the total is ...
boys = 5/9 × 171 = 95
Girls are the remainder:
girls = 171 -95 = 76
There are 95 boys and 76 girls in the band.
Oder the least to greatest: 3, -10, -5
Answers
Answer:
-10, -5, 3
Step-by-step explanation:
it's pretty simple and you just have to do it backwards if it was positive
help brainliest tired need help
Answers
Answer:
x = 9
y = 6
Step-by-step explanation:
Since, RS bisects AB,
5x - 9 = 5y + 6
5x - 5y - 9 = 6
5x - 5y = 6 + 9
5x - 5y = 15
x - y = 3 -------(1)
And RS = 36
Since, RS = RT + TS
(3y - 1) + (2y + 7) = 36
5y + 6 = 36
5y = 30
y = 6
From equation (1),
x - 6 = 3
x = 9
CAN SOMEONE PLEASE HELP ME AND TYSM IF YOU DO!!
Answers
Answer:
yes it's proportional
Step-by-step explanation:
what is 32 divided by 0.06?
Answers
Answer:
800
Step-by-step explanation:
hopefully i’m right
Mirko made a purchase of $150.00 and was charged 8.5% tax. What is just the tax collected?
i give brainliest
Answers
Answer:
11.59
Step-by-step explanation:
Im pretty sure thats correct
How do i find what to put into the boxes??
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khan sucks 3 for 30 points
again
Answers
Answer:
D, John did not make a mistake!
Step-by-step explanation:
Whatcha table shows a proportional relationship?
p 1 3 5 7 9
q 0 2 4 6 8
—————-
b 1 4 5 7 11
c 3 12 15 21 33
——————-
r 3 6 10 12 15
s 2 4 6 8 10
——————
x 1 2 3 4 5
y 9 10 11 12 13
Answers
Answer:
The answer is the second table (the one with B and C.)
Step-by-step explanation:
You know this, because the other tables are just based on patterns and the x and y values have nothing to do with each other. However, for the second table, the b value times 3 equals the c value. This is how you know the table shows a proportional relationship, and this is key to solving this problem.
Here's an image that helps demonstrate this idea:
Which one of these grids is shaded red and blue in the ratio 5 : 7?
A
B
D
E
F
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Express in the form 1:n.
Give n as a decimal.10:12
What is the discount given on a jacket that was originally priced $90 and is now $72?
Answers
Answer:
Step-by-step explanation:
The disCount will be the differenceb
Which table shows the amount of a substance decaying at an exponential rate?
Answers
Answer:D
Step-by-step explanation:
Just trust
A store bought a pair of shoes for $50 and sold it for $80. What percentage was the markup
Answers
Answer:
130
Step-by-step explanation:
50+80=130
sorry if i got it wrong
Answer:
60%
Step-by-step explanation: Cuz i said so
ֆին (Find) (√3+√7) (√7-√3)
Answers
Answer:
We are given
[tex]( \sqrt{3} + \sqrt{7} )( \sqrt{7} - \sqrt{3} )[/tex]
We want to consolidate the equation firstWe get an answer of 4Answer:
4
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex] and [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a
Given
([tex]\sqrt{3}[/tex] + [tex]\sqrt{7}[/tex] )([tex]\sqrt{7}[/tex] - [tex]\sqrt{3}[/tex] )
Each term in the second factor is multiplied by each term in the first factor, that is
[tex]\sqrt{3}[/tex] ([tex]\sqrt{7}[/tex] - [tex]\sqrt{3}[/tex] ) + [tex]\sqrt{7}[/tex] ([tex]\sqrt{7}[/tex] - [tex]\sqrt{3}[/tex] ) ← distribute both parenthesis
= [tex]\sqrt{21}[/tex] - 3 + 7 - [tex]\sqrt{21}[/tex] ← collect like terms
= 4