Point G and point H are the same distance form point F. Which coordinates could be the location of point H?
Answers
Answer:
[tex]H = (5,1)[/tex]
Step-by-step explanation:
The attachment is not clear. However, the points of G and F are:
[tex]F = (3, 2)[/tex]
[tex]G = (4, 4)[/tex]
And the options are:
[tex]A.\ (1, 2) \\ B. (4, 2)\\ C. (5, 1) \\ D. (2, 5)[/tex]
Required
Determine the coordinates of H
This question will be solved using distance formula, D
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Since F is equidistant of G and H, the formula can be represented as:
[tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex] and
[tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]
Where:
[tex](x_1,y_1) = (4,4)[/tex]
[tex](x,y) = (3,2)[/tex]
[tex]H = (x_2,y_2)[/tex]
Substitute values for x , y , x2 and y2 in [tex]D = \sqrt{(x_2 - x)^2 + (y_2 - y)^2}[/tex]
[tex]D = \sqrt{(x_2 - 3)^2 + (y_2 - 2)^2}[/tex]
Square both sides:
[tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
Substitute values for x , y , x1 and y1 in [tex]D = \sqrt{(x_1 - x)^2 + (y_1 - y)^2}[/tex]
[tex]D = \sqrt{(4 - 3)^2 + (4 - 2)^2}[/tex]
Square both sides:
[tex]D^2 = (4 - 3)^2 + (4 - 2)^2[/tex]
[tex]D^2 = (1)^2 + (2)^2[/tex]
[tex]D^2 = 1 + 4[/tex]
[tex]D^2 = 5[/tex]
Substitute 5 for D^2 in [tex]D^2 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
[tex]5 = (x_2 - 3)^2 + (y_2 - 2)^2[/tex]
From the list of given options, the values of x and y that satisfy the above condition is: (5,1)
This is shown below
[tex]5 = (5-3)^2 + (1-2)^2[/tex]
[tex]5 = (2)^2 + (-1)^2[/tex]
[tex]5 = 4 + 1[/tex]
[tex]5 = 5[/tex]
Other options do not satisfy this condition. Hence, the coordinates of H is:
[tex]H = (5,1)[/tex]
Related Questions
What fraction are equivalent to 5/20?
Answers
Answer:
A. 4/16, because 5/20 = 1/4 and 1/4 = 4/16
Step-by-step explanation:
If u r talking about edge then this is correct, hope this helps :)
A food manufacturer uses an extruder (a machine that produces bite-size cookies and snack food) that yields revenue for the firm at a rate of $200 per hour when in operation. However, the extruder breaks down an average of two times every day it operates. If Y denotes the number of breakdowns per day, and suppose Y follows a Poisson distribution. The daily revenue generated by the machine is R=1600−50Y^2. Find the expected daily revenue for the extruder.
Answers
Answer:
$1300
Step-by-step explanation:
λ = average = 2 per day, Y denotes the number of breakdowns per day,
But E(Y) = λ, E[Y(Y - 1)] = λ²
E(Y²) = E[Y(Y - 1)] + E(Y), hence:
E(Y²) = λ² + λ
The daily revenue is R=1600−50Y². The expected daily revenue for the extruder E(R) is:
E(R) = E(1600−50Y²) = 1600 - 50E(Y²)
E(R) = 1600 - 50(λ² + λ)
Substituting:
E(R) = 1600 - 50(2² + 2)
E(R) = 1600 - 300 = 1300
E(R) = $1300
Find the distance between the points (2.8) and (54).
Answers
Answer:
It's 51.2
Step-by-step explanation:
All u gotta do is subtract 54 - 2.8
NUMBER 6 ONLY. Please help. Only if you are SURE
Answers
Answer:
I think it should be zero
(66 POINTS)
Lara is trying to solve a puzzle where she has to figure out two numbers, x and y. Five times x is greater than or equal to 3 more than y. Also, 1 more than 4 times y is greater than twice x. Which graph represents the possible solutions?
Answers
Answer: number -5,4
Step-by-step explanation:
Which expression is equivalent to 6-(-8)?
-6+8
-6+(-3)
6+(-8)
6 + 8
Answers
Answer:
6+8 becuase -(-8) = +8
Step-by-step explanation:
The American College Testing Corporation has a test called the ACT that is used for admissions to college. The American College Testing Corporation reports that students who attend 2-year colleges in the Midwest United States have an average ACT score of 21.5, with a standard deviation of 3.17. The president of the Minneapolis Community College wonders if students who attend her college have a ACT scores that are significantly different from the ACT scores reported by the American College Teaching Corporation. The president would perform a ___________ test, and use a z-critical value of _____.
Answers
Answer:
Two tailed test
+/-1.96
Step-by-step explanation:
Following this claim, the president would have to perform a two tailed test. Since he wants to know if the Act scores of students in her school are significantly different from what is reported by the ACT corporation.
At a confidence level that is 95%, the level of significance is = 0.05. then the z critical value to be used would be +/- 1.96
Convert the following repeating decimal into a fraction. *
0.497
Answers
Answer:
497/1000
Step-by-step explanation:
sorry but that's as simplified as it gets
How do you solve these? I guess I have to find how much they are in percents
Answers
Answer
1) 2500 %
2) 1800%
3) 3500%
Step-by-step explanation:Convert the decimal to a percentage by multiplying the decimal by 100 .
please help me with all
Answers
Answer:
Part A. Mike will save $1650 if he saves $150 for 11 months.
Part B. Since $1750-$150 = $1600 Mike will need to save $100 in the 12th month. Since $100 is less than $150, he will be able to reach his goal.
Part C. If Mike saves $160 every month for 12 months, he will have saved $1920.
NEED HELP ASAP NOW OR I DIE. -9 to the 28th power as a positive or negative explain
Answers
Answer:
Positive.
Step-by-step explanation:
Negative to a even power becomes positive
5
Jody has 3 red marbles, 5 blue marbles, and 8 yellow marbles. What is the ratio of red marbles to blue marbles?
Answers
Answer:
3:5
Step-by-step explanation:
There are 3 red marbles
5 blue marbles
SO
3:5
Answer: 3:5
Step-by-step explanation:
There are 3 red marbles and 5 blues marbles so the ratio of red marbles to blue marbles will be 3:5 or 3 to 5, or 3/5
Josh is comparing the volume of a cylinder and steer. The cylinder has a high of 8 inches and radius of 6 inches. This sphere has a radius 6 6 inches. What is the van of the cylinder and spare in terms of pie
Answers
Answer:Has a diamanitor of 6). B.)9 pi square units ... What is the volume, to the nearest whole cubic inch, of a cylinder with a height ... Volume of Cylinders, Cones, and Spheres Assig…
Step-by-step explanation:
NEED THIS ASAP PLEASE
Answers
Answer:
50
Step-by-step explanation:
if it costs $55 for 20 people to go rent a movie at red box how much does it cost per person?
Answers
It costs $2.75 per person
(c−9)2−(4c−2)2 factor
Answers
Answer:
−2(3c + 7)
Step-by-step explanation:
Factor the polyomial
I need help plz, ASAP
Answers
Answer for #5:
L=2,6,f=-2,6 ,m=3,1 ,g=-3,1 ,n=6,3 ,h=-6,3
Answer:
b
Step-by-step explanation:
A car travels 53.6 miles in an hour.
if the car continues at the same speed for 19 hours, how many miles will it travel?
Answers
Answer:
The car would have traveled 1,018.4 miles in 19 hours because you have to multiply 1 by 19 to get to 19 so you would have to do the same to the miles and 53.6 times 19 is 1,018.4 miles.
Step-by-step explanation:
g When comparing the 90 percent prediction and confidence intervals for a given regression analysis Multiple Choice the prediction interval is narrower than the confidence interval. the prediction interval is wider than the confidence interval. there is no difference between the size of the prediction and confidence intervals. no generalization is possible about their comparative width.
Answers
Answer:
the prediction interval is wider than the confidence interval
Step-by-step explanation:
Given that the confidence intervals depicts how a researcher got its parameter of interest, for example, regression coefficient, and prediction intervals show the researcher where to find the subsequent sampled data.
Therefore, Prediction intervals must cater to the uncertainty in estimating the population mean, and the random variation of the individual values.
Hence, when comparing the 90 percent prediction and confidence intervals for given regression analysis, a prediction interval is invariably wider than a confidence interval.
This explains the fact that the prediction interval will not collapse to a single value as the sample size rises.
What is (-24)+(-36)+(-12)
(Simplify the following )
Please help me.. if I fail I’ll get kicked from school
Answers
-24-36-12
-72
(-24)+(-36)+
-24-36-12
-72
Solve the system using substitution.
X + 5y = 0
3y + 2x = -21
([?], 1)
Answers
Answer:
(-15, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
x + 5y = 0
3y + 2x = -21
Step 2: Rewrite Systems
x + 5y = 0
Subtract 5y on both sides: x = -5yStep 3: Redefine Systems
x = -5y
3y + 2x = -21
Step 4: Solve for y
Substitution
Substitute in x: 3y + 2(-5y) = -21Multiply: 3y - 10y = -21Combine like terms: -7y = -21Isolate y: y = 3Step 5: Solve for x
Define equation: x + 5y = 0Substitute in y: x + 5(3) = 0Multiply: x + 15 = 0Isolate x: x = -15. In the formula I=P·r·t, what does I stand for?
Answers
Answer:
I stand for simple interest.
p stands for principal amount
R Stands for Rate of interest
T stands for Time
This is the formula for simple interest.
Complete this division sentence.
763 + 23 =
r
Answers
Answer:
is it a division or addition
Step-by-step explanation:
for me the answer is 786
What is the first step in the decision-making process, and why is it important?
Answers
Answer:
Recognizing the problem or opportunity and deciding to address it.edge ⬇️
Mallie's car dealership expects to sell 18 cars every 6 days. Based on this information, how many days does the dealership expect that it will take to sell 90 cars
Answers
Answer:
30 days
Step-by-step explanation:
1 way:
18 cars/6 days = 3 cars/1 day
90cars/3 cars a day= 30 days
another way:
90 cars/18 cars= 5
6 days * 5= 30 days
Find the slope of the line through each pair of points. (-20,-4), (-12, -10)
Answers
Answer:
-0.75 i think
Step-by-step explanati
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
c2+2c
Answers
Answer:
Step-by-step explanation:
c2+2c+4
(c+2)^2
^ is the exponent
On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.
Answers
Answer:
B.Reigion D
Step-by-step explanation:
Answer:
Region B
Step-by-step explanation:
Cause i just know
An accident in a laboratory results in a room being contaminated by a radioisotope with a half-life of 8 days. If the radiation is measured to be eight times the maximum permissible level, how much time must elapse before the room is safe to enter?
Answers
Answer:
24 days
Step-by-step explanation:
Let the permissible time be Ro
Let the initial activity be R= 8Ro
From;
0.693/t1/2 × t= 2.303 log R/Ro
Half life of the radionuclide= t1/2 = 8 days.
Hence;
0.693/8 × t = 2.303 log 8
t= 2.1/0.087
t= 24 days
help please, i will love you forever
Answers
Answer:
See Below
Step-by-step explanation:
I'm not going to do the homework for you, but I will complete three of the problems to help you understand the process.
We are converting between different units of measurement.
Here are the conversions to know:
12 inches = 1 foot
3 feet = 1 yard
1760 yard = 1 mile
5280 feet = 1 mile
#1
We need to convert 7 feet into inches.
7 feet * 12 inches per foot = 84 inches
Now we know:
84 inches = 7 feet
What's the difference is between 84 inches, and 18 inches?
84 inches - 18 inches = 66 inches
We need 66 more inches to get a length of 7 feet.
#2
We need to convert 2 miles into yards.
2 miles * 1760 yards per mile = 3520 yards.
Now we know:
3520 yards = 2 miles
What's the difference between 3520 yards and 2000 yards?
3520 yards - 2000 yards = 1520 yards
We need 1520 more yards to make 2 miles
#3
We need to convert 108 inches into feet.
108 inches / 12 inches per foot = 9 feet
Since there is no remainder,
9 feet = 108 inches.
Hopefully you can see what is going on here and do the rest yourself.