The coordinate plane represents a map of a town. Each unit represents 1 mile.
A post office is located at (4-2). The town is considering constructing a library exactly 4 miles north or south of the post office
Plot a point that represents one of the locations the town is considering for the library
Drawing Tools Click on a tool to begin dowing Delete Undo
Select
Retet
Point
Answers
Answer:
(4, 2) or (4, -6)
Step-by-step explanation:
Going 4 miles north would move the point (4, -2) 4 units up. When done so, the point (4, 2) is reached.
Going 4 miles south would move the point (4, -2) 4 units down. When done so, the point (4, -6) is reached.
A graph is shown below for further conformation.
hope this helps!
Related Questions
The trinomial x2 bx – c has factors of (x m)(x – n), where m, n, and b are positive. what is the relationship between the values of m and n? explain.
Answers
The relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.
What is trinomial?A trinomial is the type of algebraic expression in which there are three terms present and more than one variable are present.
The trinomial given in the problem is,
[tex]x^2 +bx - c[/tex]
This trinomial has factors of,
[tex](x +m)(x - n),[/tex]
Where m, n, and b are positive.
If this factors multiply by each other, we get,
[tex](x +m)(x - n)\\x^2+nx+mx+nm\\x^2+(n+m)x+nm[/tex]
Compare it with the trinomial, we get,
[tex]b=(m+n)[/tex]
Which is the sum of the terms,
[tex]c=nm[/tex]
Which is the product of the terms.
Hence, the relationship between the values of m and n for the trinomial x²+bx -c is (m+n) is the sum of the roots and (mn) is the product of the roots.
Learn more about the trinomial here;
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Faith wants to add a 20% tip to a $56 restaurant bill. How much will Faith pay including the tip?
Answers
Answer:
67.20$
Step-by-step explanation:
multiply 56 by 1.2
Answer:
$67.2
Step-by-step explanation:
Given:
Price = $56Tip = 20%∴ Equation: Price + Tip = Total
⇒ 56 + (20/100 × 56) = TotalSimplify the equation to obtain the total:
⇒ 56 + (20/100 × 56) = Total⇒ 56 + (20/50 × 28) = Total⇒ 56 + (20/25 × 14) = Total⇒ 56 + (4/5 × 14) = Total⇒ 56 + (56/5) = TotalConvert the expression in the parenthesis into decimals:
⇒ 56 + (56/5) = Total⇒ 56 + (11.20) = TotalOpen the parenthesis and simplify:
⇒ 56 + 11.20 = Total⇒ $67.2 = TotalFaith will pay (including the tip) $67.2.
camden is on a charter bus that has traveled 111 miles in 2 1/2 hours at this rate how many miles will the bus travel in the next 1/2 hour
Answers
111/150=.74
.74*30=22.2 miles
Bryce left a 20% tip on a $45 dinner bill. How much was the tip?
Answers
Answer:
$9
Step-by-step explanation:
divide the value by thr total value then multiply by 100. formula=(value/total value)x100
Amanda uses her Credit card to purchase $75 of materials Amanda pays her credit card off each month
Answers
The remaining balance that Amanda will pay when the credit card is used to pay $75 from the total amount is $125.
How to compute the amount?Your information is incomplete. Therefore, an overview will be given. Let's assume that the total purchase made by Amanda is $200.
In this case, she uses her credit card to make payment for $75. Therefore to know the remaining balance, you'll subtract $75 from the total purchase. This will be:
= $200 - $75
= $125
Learn more about credit card on:
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5x-3y=-2, -x+2y=-8
Solve by elimination method
Answers
Which transformation "turns" a figure around a point?
Translation
Dilation
Reflection
Rotation
Answers
Answer:
Rotation
Step-by-step explanation:
Rotation is where you rotate a figure about a point on a graph. Reflection would essentially mirror a figure across and axis, translation would move a figure, and dilation woukd change the size of the figure.
It's trig...First person gets branliest
Answers
Answer:
~29.99
Step-by-step explanation:
Tell whether the relation is a function. Explain your reasoning
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}
Answers
Answer:
no, since the numbers are mixed up both negative and positive
Answer:
relation is a function
Step-by-step explanation:
For the relation to be a function each value of x in the domain must map to exactly one unique value of y in the range.
This is the case here so the relation is a function
Find an expression for the area of each shade region,write your answer in standard form
Answers
Answer:
8x+24
Step-by-step explanation:
(x+5)²-(x+1)²
x²+10x+25-(x²+2x+1)
x²+10x+25-x²-2x-1
8x+24
Hence the required equation is 8x+24 or 8(x+3)
6,500 dollars is placed in a savings account with an annual interest rate of 4%. If no money is added or removed from the account, which equation represents how much will be in the account after 2 years?
Answers
A=6500×(1+0.04)^2
The equation represents how much will be in the account after 2 years will be A = $6,500 + ($6,500 x 4 x 2)/100.
What is simple interest?Let P be the principal, R be the rate of interest, and T be the time. Then the interest rate is given as,
I = (PRT)/100
6,500 dollars is placed in a savings account with an annual interest rate of 4%.
Then the amount after 2 years is calculated as,
A = P + I
A = P + PRT / 100
A = $6,500 + ($6,500 x 4 x 2)/100
Thus, the equation will be A = $6,500 + ($6,500 x 4 x 2)/100.
More about the simple interest link is given below.
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Charlotte is running at a rate of 23 /h. What is Charlotte’s speed in /s?
Answers
Answer:
0.00638
Step-by-step explanation:
Use some dimensional analysis. There are 60 minutes in 1 hour, and 60 seconds in 1 minute:
[tex] \frac{23}{1} \frac{units}{hour} \times \frac{1}{60} \frac{hour}{minutes} \times \frac{1}{60} \frac{minute}{seconds} [/tex]
The units of hour will cancel, minutes will cancel, leaving the units of seconds:
[tex] \frac{23}{60\times 60} \frac{units}{seconds} = 0.00638 \frac{units}{second} [/tex]
A rope has a density and thickness such that a 3.25-centimeter-long segment of it weighs 61.40 grams. there are 28.3495 grams in an ounce and 2.54 centimeters in an inch. how many ounces would a 19.45 inch length of the same rope weigh? a. 5.10 oz b. 11.49 oz c. 32.92 oz d. 53.90 oz
Answers
A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.
How many inches in one centimeter?A centimeter is a unit to measure a length in the metric system. One centimeter is equal to 0.39 inches.
It is given that
3.25 cm length of rope weighs 61.40 grams.
There are 28.3495 grams in an ounce.
There are 2.54 centimeters in an inch.
a = b
c = x
So x = cb / a
If there are 2.54 centimeters in 1 inch,
centimeters= 19.45 × 2.54/ 1 inch
centimeters= 49.403
Now, if 3.25 centimeters long weighs 61.40 grams, then
grams= 49.403 × 61.40 / 3.25 centimeters
grams= 933.34
Finally, if there are 28.3495 grams in 1 ounce,
ounces= 933.34 × 1 ounce / 28.3495 grams
ounces= 32.92
Thus, A 19.45-inch-long segment of the same rope would weigh 32.92 ounces.
Learn more about centimeter:
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A park recorded 3.5x10^4 visitors in 1936 and 2.2x10^5 visitors in 1986. How many more people visited the park in 1986 than in 1936
Answers
In 1986 visitor 2.2*10^5 = 220000
So more people visited = (220000-35000)
= 185000
There is a pic the answers are not in in please solve if you could include work that would be ideal
Answers
Answer:
400 is the required answer
correct answer is 405.125
Step-by-step explanation:
If u want complete solution do mention in the comment
Find the surface area of each solid.
Answers
Answer:
232 in^2
Step-by-step explanation:
80 + 80 + 20 + 20 + 16 + 16 = 232
Check previous answer for better explanation!
Use the Distributive Property to simplify the expression 3(3x−5)
Answers
3(3x−5)
(3 times 3x)(3 times -5)
9x-15
Since you don't know what x is, you can't simplify it any more than this.
Hey there!
Use the Distributive Property to simplify the expression 3(3x - 5) :
Answer :9x - 15 ✅
Explanations :- Distributive Property :
A(B - C) = AB - BC
- Given expression :
3(3x - 5)
A = 3B = 3xC = 5>> Distribute the 3 to the 3x and to the 5 :
3(3x - 5)
= 3*3x - 3*5
Therefore, your answer is 9x - 15 .
Have a good day ;)
A coat is discounted 40% off its regular price. Which value is equivalent to 40%
Answers
Answer:
A coat is discounted 40% off its regular price. Which value is equivalent to 40%
=2/5
What is 1.625 rounded to the nearest tenth.
Answers
Answer:
1.6
Step-by-step explanation
2 is les than 5 so you round down
Put the following equation of a line into slope-intercept form, simplifying all fractions.
3y−3x=15
Answers
__________________________________________________________
Hello! In this question, we will be changing our given equation to turn it into slope-intercept form.
__________________________________________________________
Explanation:
We are given the following equation:
3y − 3x = 15
Our goal is to turn the equation into slope-intercept form, which is:
y = mx + b
Let us rearrange the equation and simplify it:
3y − 3x = 15
Add 3x to both sides, which would cancel the 3x on the left.
3y = 3x + 15
Now, divide everything by 3 to get the "y" variable by itself.
y = x + 5
Therefore, your simplified equation in slope-intercept form would be:
y = x + 5
__________________________________________________________
Answer:
y = x + 5
__________________________________________________________
Part I: Reviewing the slope intercept form equation
Given equation:
3y - 3x = 15Slope intercept form: y = mx + b
[Where "m" is the slope and "b" is the y-intercept]
Part II: Isolating "y" and it's cooeficient on one side of the equation
In the slope intercept form equation, we can see that the "y" variable is completely isolated on one side of the equation. Therefore,
⇒ 3y - 3x = 15⇒ 3y - 3x + 3x = 15 + 3x⇒ 3y = 3x + 15Part III: Isolating "y" from it's cooeficient
The "y" variable in the slope intercept form has no cooeficient. Therefore, we need to isolate the cooeficient of "y" in our equation ( 3y = 3x + 15 ). This can be done by dividing 3 both sides or multiplying 1/3 both sides.
⇒ 3y/3 = (3x + 15)/3⇒ y = (3x + 15)/3Part IV: Simplify the other side of the equation
Finally, simplify the other side to obtain our equation in slope intercept form.
⇒ y = 3x/3 + 15/3⇒ y = x + 5Therefore, the equation in slope intercept form is y = x + 5.
Gagu is paid £1200 per month.
He is going to get a 4% increase in the amount of money he is paid.
Work out how much Gagu will be paid per month after the increase.
Answers
gagu kaba de charot labyu..
ito formula pala makuha interest,
You can calculate simple interest in a savings account by multiplying the account balance by the interest rate by the time period the money is in the account. Here's the simple interest formula: Interest = P x R x N. P = Principal amount (the beginning balance).
Someone help me please
Answers
How do I solve problems like these
Answers
First of all we need to find the equations of the lines :
y( red ) = - x + 2
y(blue) = 2x - 1
Then we must to put the equations equal to each other and going to to find the value of x :
[tex]- x + 2 = 2x - 1[/tex]
Add both sides x
[tex] - x + x + 2 = 2x + x - 1[/tex]
[tex]2 = 3x - 1[/tex]
Add both sides 1
[tex]2 + 1 = 3x - 1 + 1[/tex]
[tex] 3 = 3x[/tex]
Switch sides
[tex]3x = 3[/tex]
Divide both sides by 3
[tex] \frac{3x}{3} = \frac{3}{3} \\ [/tex]
[tex]x = 1[/tex]
After u the value of x , put it in one the equations to find the value of y :
[tex]y = - x + 2[/tex]
[tex]y = - (1) + 2[/tex]
[tex]y = - 1 + 2[/tex]
[tex]y = 1[/tex]
Thus the solution is ( 1 , 1 ) .
Which functions have a vertex with a x-value of 0? select three options. f(x) = |x| f(x) = |x| 3 f(x) = |x 3| f(x) = |x| − 6 f(x) = |x 3| – 6
Answers
The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are functions have a vertex with a x-value of 0.
What is a function?A connection between independent variables and the dependent variable.is defined by the function. Functions help to represent graphs and equations.
The standard absolute value function is found as;
[tex]\rm f(x) = a|x - h| + k[/tex]
Where,
(h, k) denotes to the vertex
h is the vertex of the x-coordinate
k is the y-coordinate of the vertex
By comparing the standard equation with the given equation in the options we will get the functions to have a vertex with an x-value of 0;
[tex]\rm f(x) = |x| \\\\ \rm f(x) = |x| + 3 \\\\ f(x) = |x| - 6[/tex]
The functions have a vertex with a x-value of 0 will be f(x) = |x|,f(x) = |x|+ 3 and f(x) = |xl - 6.Option 1,2 and 4 are functions have a vertex with a x-value of 0.
Hence options 1,2 and 4 are functions that have a vertex with an x-value of 0.
To learn more about the function refer to the link;
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Answer:
A, B, D
Step-by-step explanation:
A newspaper printer can print 15,000 newspapers in 4 hours. At the same rate, how many newspapers can they print in 24 hours?
Answers
Answer: its gonna be 90k (90,000)
Step-by-step explanation: 4 hrs = 15k meaning if u add 4 + 4 its basically gonna be 15k + 15k. so in 24 hr its gonna be 90k because 4 + 4 + 4 +4 + 4 = 24 so if 4 is 15k then it would also be 15k + 15k + 15k +15k +15k and thats 90k.
i took the test. and give brainliest pls
What is the equation of the line that is parallel to the line y − 1 = 4(x 3) and passes through the point (4, 32)? y = –one-fourthx 33 y = –one-fourthx 36 y = 4x − 16 y = 4x 16
Answers
The equation of the line that is parallel to the line y = 4x + 13 and passing through the point (4, 32) will be y = 4x + 16. Then the correct option is D.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The equation of the line is given below.
y − 1 = 4(x + 3)
The equation can be written as
y = 4x + 13
Then the equation of the line that is parallel to the line y = 4x + 13 and passing through the point (4, 32) will be
The slope of the parallel lines will be the same
Slope = 4
Then
y = 4x + c
The line is passing through (4, 32)
32 = 4(4) + c
32 = 16 + c
c = 16
The equation of a parallel line is y = 4x + 16
More about the linear system link is given below.
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Answer:it’s d
Step-by-step explanation: y=2/5x+5
ASAP as well I’m sorry ……..
Answers
Mid School.
Why don't students want their name written up by their teacher, when they in trouble?
Answers
Answer:
Students will usually not want their name written because they believe it is humiliating.
What is the answer to the question 3m-8n/13
Answers
Answer:
the answer to the question is 3m8n = 13
What is the value of this expression when
d= 47 and f = 3?
6 (d - f) +f
Answers
Answer:
267
Step-by-step explanation:
We are given the expression: 6 (d - f) +f
The value of the expression when d= 47 and f = 3 is :
6 (47 - 3) +3 = 6×(44) + 3 = 264 + 3 = 267
=267