Point A is at (-2, 4) and point M is at (2.5, 3.5).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answers
Answer:
Coordinates of point B: (7, 3)
Step-by-step explanation:
Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),
let [tex] A(-2, 4) = (x_2, y_2) [/tex]
[tex] B(?, ?) = (x_1, y_1) [/tex]
[tex] M(2.5, 3.5) = (\frac{x_1 +(-2)}{2}, \frac{y_1 +(4)}{2}) [/tex]
Rewrite the equation to find the coordinates of B
[tex] 2.5 = \frac{x_1 - 2}{2} [/tex] and [tex] 3.5 = \frac{y_1 + 4}{2} [/tex]
Solve for each:
[tex] 2.5 = \frac{x_1 - 2}{2} [/tex]
[tex] 2.5*2 = \frac{x_1 - 2}{2}*2 [/tex]
[tex] 5 = x_1 - 2 [/tex]
[tex] 5 + 2 = x_1 - 2 + 2 [/tex]
[tex] 7 = x_1 [/tex]
[tex] x_1 = 7 [/tex]
[tex] 3.5 = \frac{y_1 + 4}{2} [/tex]
[tex] 3.5*2 = \frac{y_1 + 4}{2}*2 [/tex]
[tex] 7 = y_1 + 4 [/tex]
[tex] 7 - 4 = y_1 + 4 - 4 [/tex]
[tex] 3 = y_1 [/tex]
[tex] y_1 = 3 [/tex]
Coordinates of point B: (7, 3)
Answer:
Coordinates of point B: (7, 3)
Step-by-step explanation:
Given M(2.5, 3.5) as midpoint of AB, and A(-2, 4),
Rewrite the equation to find the coordinates of B
Coordinates of point B: (7, 3)
Related Questions
Round four hundred seventy-six thousand three hundred twenty-one and fifty thousand eight hundred nine hundred-thousandths to the nearest dollar.
Answers
Answer:
476,321.50
476,322
Step-by-step explanation:
Divide. Round your answer to the nearest whole number.
5,481 - 0.605
Answers
Answer:
Step-by-step explanation:
It matters what the order is when you do the rounding.
5481 = 5500
0.605 = 1
The rounded answer is 5500 / 1 = 5500
However if you do the question and then round you get a much closer answer.
5481 ÷ 0.605 = 10712
whats the decimal of -3 13/20
Answers
Step-by-step explanation:
-3 13/20
-3 65/100
-3 0.65
= -3.65
Logan is solving this problem:
The cheetah ran 0.05 hours at a rate of 70 mph. How far did the cheetah run?
Logan solves the problem by writing:
d = r t. d = 70.05 miles.
What is wrong with Logan’s work?
A.) Logan used the wrong formula. He should have used A = bh.
B.) Logan did not use parentheses when substituting, and he did not multiply the numbers.
C.) Logan's work is correct.
D.) Logan labeled his answer incorrectly. The correct label is feet.
Answers
Answer:
Logan did not use parentheses when substituting, and he did not multiply the numbers.
Step-by-step explanation:
took the assignment, it was correct.
Answer:
B
Step-by-step explanation:
How much is 28 + 56 + 93
Answers
Answer:
177
Hope this helps
The function f(x) = 2x – 3 is graphed below.
What is the y-intercept?
Answers
Answer:
ill give u the answer if u do 73 divided by 2628
Step-by-step explanation:
A recipe says it produces the best summer drink. The recipe calls for cup of lemonade for every 1 cups of iced tea. If 16 cups of the summer drink are made, how many of those are cups of lemonade? Re-create the table to give your answer.
Answers
7b-2/5=6b-7/5 nudfghnkdfbvugyteugdyvbbbvybhjedfs
Answers
Answer:
b=−1
Step-by-step explanation:
Jose filled up his car with gas before embarking on a road trip across the country. The
capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4
gallons of gas left in the tank. Write an equation for G, in terms oft, representing the
number of gallons of gas remaining in Jose's gas tank after t hours of driving.
Answers
Answer:
g=-2t+12
Step-by-step explanation:
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Jose filled up his car with gas before embarking on a road trip across the country. The capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4 gallons of gas left in the tank.
The slope of the equation will be
⇒ (12 - 4) / 4
⇒ 8 / 4
⇒ 2 gallons per hour
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be
G = 12 - 2t
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne's function?
Answers
Complete question is;
Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne’s function?
A) 0, 1, 2, 3, 4, …
B) …, −4, −3, −2, −1, 0
C) …, −3, −2, −1, 0, 1, 2, 3, …
D) …, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …
Answer:
Option A: {0,1, 2, 3, 4,....}
Step-by-step explanation:
Domain is simply a set of input while the range is a set of output values.
For example, if we have a function named f(x) = x², the domain will be all possible values of x being inputed while the range will be the value of f(x) for all possible values of x inputed.
Now, from the question, we are told that she wrote the amount of money she spent as a function of the number of bottles sold.
If the number of bottles sold is denoted by "x", it means the function is; f(x).
Now, number of bottles has to be a non-negative whole number or simply a non-negative integer. Thus, the possible values of x are all non-negative whole numbers like, 0,1, 2, 3, 4, 5....
Thus,domain is {0,1, 2, 3, 4,....}
Answer:
A. 0,1,2,3,4,.....
Step-by-step explanation:
A train goes from Springfield, MA to Boston at a speed of 40 mph. On the return journey it moves at a speed of 80 mph. If the return journey takes an hour less than the outward journey, what is the average speed overall of the train?
Answers
Answer:
The answer is 53.3333333
Step-by-step explanation:
first you know that the speed on the way there is 40 mph and the back is 80
lets call the time x On the way there the time would just be X on the way back it would be x-1 because it took one less our
to calculate the distance you need to do speed times time therefor the distance on the way there would be 40x and the way back would be 80x-80
Then I made an equation 40x=80x-80 X=2
so the distance would be 80 miles but to find average speed you need to do total distance over total time so it would be 160 over 3 because the time is 2x-2 x=2 so thats 3
Hope this helps
Solve the absolute value equation for n
1-8n +41 + 6 = 34
Answers
Answer:
n=1.85
Step-by-step explanation:
1-8n+41+6=36
-7n+47=36
shift 47 to the other side
-7n=36-47
-7n=-13
n=-13/-7
cancel the negative sign
n=13/7
n=1.85
please mark as brainliest!!!
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11? Plus-or-minus one-eleventh, plus-or-minus five-elevenths, plus-or-minus 1, plus-or-minus5 Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11 Plus-or-minus one-eleventh, plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11 0, Plus-or-minus one-eleventh, Plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11
Answers
Answer:
Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11
Step-by-step explanation:
According to the Rational Root Theorem, the potential roots of f(x) = 5x² – 7x + 11 are; Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11.
Rational Root Theorem:The given function is; f(x) = 5x² – 7x + 11
On this note; Using the rational Root Theorem while determining the root; we have;
f(x) = 0 = x² -7/5x + 11/5.
The possible roots are therefore the factors of the constant, 11/5 and are as follows;
±11/5±1±11±1/5.Read more on Rational Root Theorem;
https://brainly.com/question/4251786
Help me ASAP please
Answers
from what I remember from what my teacher taught me was that its nonlinear. I'm 98% sure its nonlinear
I'm am so sorry if I get it wrong. I'm apologizing ahead. if you want you can get the points back I dont mind because I feel bad when I get things wrong but I'm pretty sure its non linear
True or False? Complementary Angle’s are two angles that add up to 90 degrees
Answers
Answer:
True
Step-by-step explanation:
Definition of Complementary Angle’s
There are 1200 students in a school 51% of them are female how many are male
Answers
Answer:
Step-by-step explanation:
588 are boys
1% of 1200 is 12, 50% is 600, add 12 and 600 together, you get 612, subtract it from 1200 and it gives you 588
Which relation represents a function? {(0, 3), (2, 4), (0, 6)} {( - 7, 5), ( - 7, 1) ( - 10, 3), ( - 4, 3)} {( 2,0), (6, 2), (2, -2)} {( - 6, 5), ( - 3, 2), (1, 2), (6, 5)}
Answers
Answer:
is it none of the above
Step-by-step explanation:
Help...............................
Answers
List all the factor pairs for the
number 48.
List all the factor pairs for the
number 23.
List all the factor pairs for the
number 12.
List the first 5 multiples for the
number 12.
List the first 5 multiples for the
number 8.
DON'T FORGET TO USE THE
MULTIPLE MONSTER.
(repeated addition or Math
Facts)
List the first 5 multiples for the
number 9.
List the first 5 multiples for the
number 4.
List the first 5 multiples for the
number 7.
Answers
Answer:
1 x 48, 2 x 24, 3 x 16, 4 x 12, and 6 x 8
Sorry I can do more if needed
Step-by-step explanation:
Sally is making lemonade. The ratio of cups of water to teaspoons of lemonade mix is 2 to 5. If Sally wants to make a larger batch, how many cups of water does she need is she used 25 teaspoons of lemonade mix?
Answers
Answer:56
Step-by-step explanation: jggjoohjmnj
NEED HELP ASAP PLEASE!!!!
The frequency tables below show the amount of weight loss during the first month of a diet program for both males and females. Identify the graph that shows the corresponding frequency polygons.
Answers
Answer: did you get the answer ?
Step-by-step explanation:
In 1902, the yearly attendance at a major league baseball park was 3.4 × 105 people.
One hundred years later, the yearly attendance was 1.7 × 106 fans.
How many times greater was the attendance in 2002 than in 1902? Enter your answer in the box.
Answers
Answer:
The number of attendance is 5 times greater than in 1902.
Step-by-step explanation:
Since we have given that
Number of attendance at a major league baseball park in 1902 =
Number of attendance at a major league baseball park in 2002 =
We need to find the number of times that the attendance in 2002 is greater than in 1902.
So, number of times becomes,
Hence, the number of attendance is 5 times greater than in 1902.
The linear function f(x) = 0.3x + 76 represents the average test score in your history class, where x is the number of the tests taken. Determine the test average for your history class after completing test 3.
A.
76.9
B.
79.9
C.
76.3
D.
76
Answers
Answer:C
Step-by-step explanation:
Scarlet believes that she will be able to sell 132 boxes of cookies in her Girl Scout troop. If there are 12 boxes in each crate how many crates should she order to sell
Answers
Answer:
11
Step-by-step explanation:
132 ÷ 12 = 11
Answer:
11 ( Did it on college bridge )
Step-by-step explanation:
There are 454 grams in a pound. Convert 330 grams to ounces.
Answers
11.6 ounces
330g x 1lb/454g x 16oz/1lb = 11.6 ounces
If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer. (citing my source usa test prep but i worked it out.)
I know the answer but can someone explain how it's correct, it is D.
Answers
Answer:
1/3x9= 3
3+2=5
Step-by-step explanation:
Substituting 9 for x
F(x)=2x+2 solve the inverse when x=4
Answers
3. Find the precise. or exact. sum of these two numbers. 123+358 =
Answers
Answer:
481
Step-by-step explanation:
A rectangular room is 4 yards long and 5 yards wide . Lucas is covering the floor with tiles that are 1 square foot . How many tiles will he need ?
Answers
Answer:
I think like 21
Step-by-step explanation:
i think it correct but if it not it okay but alaest I try my best on it
guys help me 3(x−4)≥−2x+3
Answers
Answer:
sensya na bobo den ako e✌