Given the points P(-3; 2), Q(2; 7) and R(-10; y). Determine the values of y if P is equidistant from Q and R.
Answers
The values of y are 1 and 3
What is distance formula -
\(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
x1 and y1 are x and y coordinates of a point.
similarly x2 and y2 are x and y coordinates of another point.
Explanation with steps -
As point P is equidistant from Q and R, the distances PQ and PR should be the same.
So, calculate distance PQ can be calculated from the above formula
The distance PQ is \(\sqrt{50}\)
now use this distance to calculate the unkown 'y'
\(\sqrt{50} =\) \(\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
\(\sqrt{50} =\) \(\sqrt{(-10-(-3))^2+(y-2)^2}\)
\(\sqrt{50} =\) \(\sqrt{49+(y-2)^2}\)
Squaring both sides
50 = 49 + \((y-2)^{2}\)
\(y^{2}-4y+3=0\)
On factorizing,
\((y-1)(y-3)=0\)
Thus we get values of y to be 1 or 3
To see more about distance formula
refer : https://brainly.com/question/1872885
#SPJ2
Related Questions
what are the domain and the range
Answers
Answer:
Domain 1,3,5,7,9,11
Range 5,6,7,8,9,10
A recipe for one batch of cookies calls for 3 cups of sugar and 2 tablespoons of salt.
How many batches can you make with 12 cups of sugar and 8 tablespoons of salt?
Answers
12/3 = 4
8/2 = 4
gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. it forms a pile in the shape of a right circular cone whose base diameter and height are always equal. how fast is the height of the pile increasing when the pile is 25 feet high?
Answers
Below is the answer
Learn more about circular cone at https://brainly.com/question/30355649
#SPJ4
Why do we square the residuals when using the least-squares line method to find the line of best fit?
Answers
We square the residuals when using the least-squares line method to find the line of best fit because we believe that huge negative residuals (i.e., points well below the line) are just as harmful as large positive residuals (i.e., points that are high above the line).
What do you mean by Residuals?We treat both positive and negative disparities equally by squaring the residual values. We cannot discover a single straight line that concurrently minimizes all residuals. The average (squared) residual value is instead minimized.
We might also take the absolute values of the residuals rather than squaring them. Positive disparities are viewed as just as harmful as negative ones under both strategies.
To know more about the Least-Squares Line method, visit:
https://brainly.com/question/14940432
#SPJ4
.
| * +15 | = 37 how do you solve this
Answers
Answer:
2*11+15=37
22+15=37
37=37
Step-by-step explanation:
PLEASE HELP ANSWER FAST AND ADD AN EXPLANATION!!
Answers
The total mass of the paperclips in the box is 6. 144 × 10^1 mg. Option C
1 mass of a paperclip = 8.0 × 10−4 mg
But there are 7.68 × 104 paperclips = x mg
cross multiply
x = 7.68 × 104 × 8.0 × 10−4 mg
Multiply through
x = 61. 44 × 10^ 4 -4
x = 61. 44 × 1
x = 6. 144 × 10^1 mg
Thus, the total mass of the paperclips in the box is 6. 144 × 10^1 mg. Option C
Learn more about scientific notation here:
brainly.com/question/27862246
help pleaseee i’ll put you as brainliest
Answers
Answer:
Step-by-step explanation:
If a boat has the speed = 15 miles per hour
Let the speed of the river = v miles per hour
If the boat is moving down stream, that means boat is traveling with the stream of the river.
So the speed of the boat downstream = (15 + v) miles per hour
Since, speed of the river stream is added with the speed of the boat, it will reach the destination earlier than the expectation.
Roberto debe leer un libro que contiene 340 páginas en 4 días por lo cual planea la siguiente distribución: el primer día 1/5 de las páginas del libro, el segundo 1/4 de lo que queda por leer y el tercero 1/6 del resto. ¿Cuántas páginas le quedan por leer a Roberto en el cuarto día?
Answers
Answer:
170 pages
Step-by-step explanation:
Roberto must read a book that contains 340 pages in 4 days for which he plans the following distribution
The number of pages he read for the first day :
The first day 1/5 of the pages of the book
This is calculated as:
1/5 × 340 pages
= 68 pages
For the second day:
The second 1/4 of what remains to be read
The number of pages remaining after the first day is calculated as:
340 - 68 = 272 pages
Hence, the number of pages read on the second day is
1/4 × 272 pages
= 68 pages
For the third day
One the third day, 1/6 of the rest was read.
The number of pages remaining after the first day is calculated as:
272 - 68 = 204 pages
Hence, the number of pages read on the third day is
1/6 × 204 pages
= 34 pages
Therefore, the number of pages Roberto has to read on the fourth day is calculated as:
340 pages - (68 + 68 + 34)pages
340 pages - 170 pages
= 170 pages
Help plz i will give brainlest
Answers
tyler drove 138miles, and brittney drove 116miles. what is the ratio of tyler's miles to brittney's miles? write your answer as a simplified fraction.
Answers
Tyler drove 138miles, and brittney drove 116miles, the ratio of tyler's miles to brittney's miles is 69/58.
The ratio of Tyler's miles to Brittney's miles can be found by dividing Tyler's miles by Brittney's miles.
Ratio of Tyler's miles to Brittney's miles = Tyler's miles / Brittney's miles
Ratio of Tyler's miles to Brittney's miles = 138 miles / 116 miles
Simplifying the ratio by dividing both numbers by their greatest common factor, which is 2, we get:
Hence,
Ratio of Tyler's miles to Brittney's miles = 69/58
This means that for every 69 miles Tyler drove, Brittney drove 58 miles.
Learn more about ratio proportion here brainly.com/question/29774220
#SPJ4
A number "a" less than 20.
Answers
Answer:
19
Step-by-step explanation:
answer as fast as possible please!!
Answers
jsjsjskjsjsusjsiaiajiaisjs
Answer:
D
Step-by-step explanation:
76 times the amount in X equals Y
Nina is an artist who sells paintings online. She charges the same amount to ship each painting. When she sells 4 paintings, she charges a total of $9.96 for shipping. When she sells 8 paintings, she charges a total of $19.92 for shipping. How much more does Nina charge for shipping 20 paintings than for shipping 16 paintings?
a$2.49
b$9.96
c$19.92
d$29.96
Answers
Answer:
b. $9.96
Step-by-step explanation:
To solve this problem, let's first calculate how much Nina charges for shipping per painting. We'll divide the total shipping cost by the number of paintings sold.
When Nina sells 4 paintings and charges a total of $9.96 for shipping:
Shipping cost per painting = $9.96 / 4 = $2.49
When Nina sells 8 paintings and charges a total of $19.92 for shipping:
Shipping cost per painting = $19.92 / 8 = $2.49
We can see that regardless of the number of paintings sold, Nina charges $2.49 for shipping per painting.
Now let's calculate how much Nina charges for shipping 20 paintings and 16 paintings:
Shipping cost for 20 paintings = $2.49 * 20 = $49.80
Shipping cost for 16 paintings = $2.49 * 16 = $39.84
The difference in shipping charges for 20 paintings and 16 paintings is:
$49.80 - $39.84 = $9.96
Therefore, Nina charges $9.96 more for shipping 20 paintings than for shipping 16 paintings. The correct option is (b) $9.96.
What is the x-intercept of the graph that is shown below?
Answers
Answer:
(-2, 0)
Step-by-step explanation:
its where the line crosses through the x-axis
1 of 39 men is chosen at random. 27 men passed the test. 12 men failed. What is the probability that the man failed his test
Answers
Answer:
30.7%, 0.3, or 4/13
Step-by-step explanation:
The correct procedure for this problem is:
The number of men that passed the test and the number of men should be located as the numerator and denominator of the fractional number.12/39 is our fraction, which we can reduce to 4/13We can change it to a percent and a decimal, which would be 30.7% and 0.3.2.5kg of sultana brand costs $4.80 and 1.5 kg of Weetabix costs $2.95, show with working which is the best buy?
Answers
2.5kg of sultana brand cost 4.80$
price of 1 kg sultana brand = 0.520$ per kg
1.5 kg of weetabix costs $2.95
price of 1 kg weetabix brand = 0.509$
The best buy is weetabix !
The graph of a system of linear equations is shown below.
Answers
Answer:
wheres the graph lol ?
Answer
graph?
Step-by-step explanation:
4. Find the product of (a+b)(a²-ab+b?)
Answers
Answer:
a³+b³
Step-by-step explanation:
this is formula. You can also refer to the attachment
Answer:
Step-by-step explanation:
(a + b) (a² - ab + b) = a*(a² - ab + b) + b(a² - ab + b)
= a*a² - a*ab +a*b + b*a² - b*ab + b*b
= a³ - a²b + ab + a²b -ab² + b²
= a³ - a²b + a²b + ab - a²b + b²
= a³ + ab - a²b + b²
May someone tell me if I’m correct cause I think I’m right but I need to double check with someone thanks
Answers
Answer: Proportional
Step-by-step explanation: Any table that starts with (0,0), it means it’s proportional!
William spends a winter day recording the temperature once every three hours for science class. At 9 am, the temperature was -12.2°F. Between 9am and noon, the temperature rose 16.2°F. Between noon and 3pm, the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. What was the temperature at 6pm?
Answers
If William spends a winter day recording the temperature once every three hours for science class. If the temperature dropped 9.1°F. Between 3pm and 6pm, the temperature dropped 5°F. The temperature at 6pm is: -11.1°F
How to find the temperature?Between 9am and noon, the temperature rose 16.2°F, so the temperature at noon will be:
Temperature at noon = -12.2 + 16.2
Temperature at noon = 3.0°F
Between noon and 3pm, the temperature dropped 9.1°F, so the temperature at 3pm will be:
Temperature at 3pm = 3.0 - 9.1
Temperature at 3pm = -6.1°F
Between 3pm and 6pm, the temperature dropped 5°F, so the temperature at 6pm was:
Temperature at 6pm =-6.1 - 5
Temperature at 6pm = -11.1°F
Therefore the temperature at 6pm is -11.1°F.
Learn more about temperature here:https://brainly.com/question/25677592
#SPJ1
1) True or False: Consider a value of r = 0.500. It would be
appropriate to multiply this value by 100 and intepret it as
representing 50%.
Answers
Answer:
False
Step-by-step explanation:
r × 100
= 0.500 × 100
= 50
Convert the decimal to percentage by multiplying by 100.50 = 5,000%
False (5,000% ≠ 50)
Please help me respond this question
Answers
Check the picture below.
Answer:
14.1
Step-by-step explanation:
You add all of your numbers up, and then you divide by how many numbers you have.
At a certain university, students who live in the dormitories eat at a common dining hall. Recently, some students have been complaining about the quality of the food served there. The dining hall manager decided to do a survey to estimate the proportion of students living in the dormitories who think that the quality of the food should be improved. One evening, the manager asked the first 100 students entering the dining hall to answer the following question. Many students believe that the food served in the diniog tall necds improvement. Do you think that the quality of food served here needs improvement, even though that would increase the cost of the meal plant? a. In this setting, explain how bias may have been introduced based on the way this convenience sample was selected and suggest how the sample could have been selected differently to avoid that bias. b. In this setting, explain how bias may have been introduced based on the way the question was worded and suggest how it could have been worded differently to avoid that bias.
Answers
Based on the provided information, a) bias is introduced through convenience sampling there could be specific variable associated with the first hundred students. It can be avoided by simple random sampling. b) bias is introduced through wording as it includes a negative consequence. It can be avoided by just asking for an opinion without any associated reasoning or consequences.
Bias refers to a deviation of feedback which is based on certain influences by the surveyor and respondent. Sampling bias or selection bias refers to a type of bias in which a researcher gathers a sample of respondents for a questionnaire that does not accurately represent the population. Survey bias refers to the way the question is phrased or formatted, leading people to choose a certain answer instead of another. In the given case,
a) A bias may have been introduced based on the way the convenience sample was selected as there could be specific variable associated with each of the first hundred students that walk into the dining room. The first hundred students could possibly like the food and that is the reason why they come early to the dining room. Selecting students at the dining room may also exclude the students who dislike the food and choose to eat elsewhere. A simple random sample can help avoid this bias. By randomly selecting students at the university campus would provide a more inclusive and true representation of the population.
b) A bias may have been introduced based on the way the question is worded is to maintain the current meal plan as it presents a negative consequence to introducing a new meal plan. It states that a new meal plan would result in more cost. In order to avoid bias, the survey should ask students opinion about the food without introducing any external reasoning.
Learn more about Bias:
https://brainly.com/question/4503048
#SPJ4
Help me plz
Y-intercept ( , )
X-intercept ( , )
Answers
X intercept is (-1.2,0) its on the x axis
Coordinates go (x,y)
the only calculated fields you can create in access are those involving addition and subtraction. True or false?
Answers
Answer:
false
Step-by-step explanation:
False.
Access supports a wide range of built-in functions and operators that can be used to create calculated fields. These functions and operators include mathematical functions (such as multiplication, division, exponentiation), string functions (such as concatenation, trimming, and formatting), date and time functions, aggregate functions (such as sum, average, count), and more.
In addition, Access also allows you to create user-defined functions using VBA (Visual Basic for Applications), which can be used to perform custom calculations on your data.
Therefore, the statement "the only calculated fields you can create in Access are those involving addition and subtraction" is false.
learn more about 'function'
#SPJ11
A rectangular prism is 4 meters long, 5 meters wide, and has a height of 7 meters. What is its volume?
Please help! Will mark brainlyest.
Answers
The volume of the rectangular prism is 140 cubic meters.
The formula for finding the volume of a rectangular prism is length x width x height.
Given that the length is 4 meters, the width is 5 meters, and the height is 7 meters, we can substitute these values into the formula to find the volume:
Volume = length x width x height
Volume = 4m x 5m x 7m
Multiplying these values together, we get:
Volume = 140 cubic meters
Therefore, the volume of the rectangular prism is 140 cubic meters.
Know more about volume here:
https://brainly.com/question/463363
#SPJ11
Some friends went to
lunch and split the bill
equally. They each paid
$6.75. How many
people went to lunch?
Answers
Please help me please I will give the Brainlest
Answers
Answer: ASA
Step-by-step explanation:
Its obvious!! Two angles and one side (ASA).
"ASA" is when we know two angles and a side between the angles. "ASA" means "Angle, Side, Angle"
Junior purchases a Nissan Sentra from a car dealership. He got a 5 year simple interest loan with an interest rate of 2.45%. Junior purchased the car for $14,549. What will be the total cost of Junior's Nissan Sentra?
Answers
Answer:
$21,396
Step-by-step explanation:
Brainiest?
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and
last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch
1. Change the equation to slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show
2. Describe how you would graph this line using the slope-intercept method. Be sure to write using complete sente
3. Write the equation in function notation. Explain what the graph of the function represents. Be sure to use comples
4. Graph the function. On the graph, make sure to label the intercepts. You may graph your equation by hand on a
5. Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 for
sentences, explain how the graphs of the functions for the two months are similar and how they are different.
02.03 Key Features of Linear Functions-Option 1 Rubric
Requirements
Student changes equation to slope-intercept form. Student shows all work and identifies the slope and y-intercept of the
Student writes a description, which is clear, precise, and correct, of how to graph the line using the slope-intercept meth
Student changes equation to function notation. Student explains clearly what the graph of the equation represents.
Student graphs the equation and labels the intercepts correctly.
Student writes at least three sentences explaining how the graphs of the two equations are the same and how they are different.
Answers
1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.
2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.
3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.
4. A graph of the function with intercepts is shown below.
5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
How to change the equation to slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;
2x + 3y = 1,470
By subtracting 2x from both sides of the equation and dividing by 3, we have:
2x + 3y - 2x = 1,470 - 2x
y = -2/3(x) + 490
Therefore, the slope is -2/3 and the y-intercept is 490.
Part 2.
In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.
Part 3.
Next, we would write the equation in function notation as follows;
f(x) = -2/3(x) + 490
where:
f(x) represents the number of wrap lunch sold.x is the number of sandwich lunch sold.The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.
Part 4.
In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.
Part 5.
Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:
2x + 3y = 1593; y = -2/3(x) + 531.
2x + 3y = 1,470; y = -2/3(x) + 490.
In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.
Read more on slope-intercept here: brainly.com/question/7889446
#SPJ1
Complete Question:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.
