C is the midpoint of PQ, if P is (4,m) , C is (n,-1) and Q is (-2,4) then m & n respectively are
Answers
Given points are P(4,m) and Q(-2,4)
Let (x1, y1) = P(4,m)
Where, • x1 = 4 and • y1 = m
Let (x2, y2) = Q(-2,4)
Where, • x2 = -2 and • y2 = 4
We know that
The coordinates of the mod point of the linesegment joining the points (x1, y1) and (x2, y2)
is M(x,y) = ( {x1+x2}/2 , {y1+y2}/2 )
Mid point of the linesegment PQ
⇛M(x,y) = ( { 4+(-2)}/2 ,{m+4}/2)
⇛M(x,y) = {(4-2)/2 , {m+4}/2)
⇛M(x,y) = (2/2,{m+4}/2)
⇛M(x,y) = (1,{m+4}/2)
According to the given problem
Mid point of PQ = C(n,-1)
M(x,y) = C(n,-1)
(1,{m+4}/2) = (n,-1)
On Comparing both sides then
1 = n and (m+4)/2 = -1
n = 1 and m+4 = -2
n = 1 and m = -2-4
n = 1 and m = -6
Hence, the value of m&n will be (1&-6) respectively.
Additional comment:
The coordinates of the mod point of the linesegment joining the points (x1, y1) and (x2, y2)
is M(x,y) = ( {x1+x2}/2 , {y1+y2}/2 )
also read similar questions: Given that rectangle LMNO with coordinates L(0,0), M(3,0), N(3,7), O(0,7), P is the midpoint of LM⎯⎯⎯, and Q is the midpoint of NO⎯⎯⎯, which of the following pr...
https://brainly.com/question/25188846?referrer
Related Questions
QUESTION 18 PLEASE HELP ME ASAPP
Answers
Answer:
constant over time
Step-by-step explanation: for every 3 cookies the cost goes up 2 dollars
combine like terms (3x-2y+z)+(5z-8x-5y)+(-15x+8z)
Answers
Answer:
−20−7+14
Step-by-step explanation:
A statistics teacher was interested in the relationship between the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used
to obtain the regression equation ý= -3.64x + 96.5, where x represents the number of procrastination days and ý is
the predicted grade. What is the predicted grade of a student who procrastinated for 1 week?
O24.59
71.02
O 92.86
O. 96.5
Answers
Answer:
71.02
Step-by-step explanation:
x is the number of days
1 week = 7 days
-3.64 (7) + 96.5 = 71.02
Giải phương trình vi phân sau
Y"=2y'+y=e^x
Answers
You likely mean to write the differential equation,
y'' - 2y' + y = exp(x)
The homogeneous part
y'' - 2y' + y = 0
has characteristic equation
r² - 2r + 1 = (r - 1)² = 0
with a root at r = 1 with multiplicity 2, so the characteristic solution is
y = C₁ exp(x) + C₂ x exp(x)
For the particular solution, we assume an ansatz
y = ax² exp(x)
where a is an unknown constant. Differentiating the ansatz twice:
y' = ax² exp(x) + 2ax exp(x) = (ax² + 2ax) exp(x)
y'' = (ax² + 2ax) exp(x) + (2ax + 2a) exp(x) = (ax² + 4ax + 2a) exp(x)
Substitute y and its derivatives into the DE:
(ax² + 4ax + 2a) exp(x) - 2 (ax² + 2ax) exp(x) + ax² exp(x) = exp(x)
Solve for a :
(ax² + 4ax + 2a) - 2 (ax² + 2ax) + ax² = 1
2a = 1
a = 1/2
Then the particular solution is
y = 1/2 x² exp(x)
The general solution is then
y = C₁ exp(x) + C₂ x exp(x) + 1/2 x² exp(x)
A survey found that in a sample of 75 families, 26 owned dogs. A survey done 15 years ago found that in a sample of 60 families, 26 owned dogs. Find the 95% confidence intervals of the true difference in the proportions.
Answers
The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:
75 = 100 26 = X 26 x 100/75 = X 34.66 = X 34.66 x 0.95 = 32.93 34.66 x 1.05 = 36.40 60 = 100 26 = X 26 x 100/60 = X 43.33 = X 43.33 x 0.95 = 41.16 43.33 x 1.05 = 45.50 45.50 - 32.93 = 12.57 41.16 - 36.40 = 4.76
Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
Learn more about maths in https://brainly.com/question/25989509
helpp anyone?? :(
No linkssss porfavorr plaesaaje cjkq
Answers
Answer:
127/100 = 1.27
1.4
1 whole and 1/3 = 1.5
Step-by-step explanation:
Hope this helps
May I get Braineist pls
A rectangle has a perimeter of 270cm and its length is 2½cm times its width find its width
Answers
Answer:
Width = 38.57cm
Step-by-step explanation:
Perimeter = 270cm
Let x be the width, so
Length = 2 1/2 x = 5x/2
Perimeter of Rectangle = 2(length + width)
270cm = 2(5x/2 + x)
270 = 5x + 2x
7x = 270
x = 38.571 cm
Therefore, the width is 38.57cm (rounded to 2nd decimal place)
Answer:
width = 38.6 cm (approx.)
Step-by-step explanation:
let the width be x cm, so that the length is 2.5x cm.
Perimeter = 2 (length + width)
2 (length + width) = 270 cm
or, 2 (2½x cm + x cm) = 270 cm
or, 3½x cm = 270/2 = 135 cm
or, x = 270/7 cm = 38.6 cm (approx.)
Help me I need the math problem
Answers
Answer:
y=4x-3
Step-by-step explanation:
Answer:
DO i care... no ask your dam teacher won der why u aint pass
Step-by-step explanation:
Multiply the numerator and the denominator of the given fraction by the following factor to find an equivalent fraction
Fraction: 8/15
Factor: 4x
Answers
Answer:
32/60
Step-by-step explanation:
because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)
numerator: 8*4=32
denominator: 15*4=60
final equivalent fraction: 32/60
Robin is making floral arrangements for a party. Each arrangement has 8 roses and 10 carnations. Each carnation costs $0.75 and each rose costs $1.85. Which expression represents the total cost for one arrangement? A 8 + 10 + (0.75 + 1.85) B (8 + 0.75)(10 + 1.85) C 10(0.75) + 8(1.85) D 8(0.75) + 10(1.85)
Answers
r less than one-eighth
Answers
Answer:
what did you mean
Step-by-step explanation:
is not a question
How many terms does the expression 14 + 9 have? What are they? Explain how you know.
Answers
Answer:
23, so 1. i know because i added 14+9 and got 23. im sorry if you meant like a definition term, please comment if thats what you meant. because i'll help you then.
Step-by-step explanation:
help me please please
Answers
Answer:
i think its D or 14/16
Step-by-step explanation:
Answer:
[tex]\frac{14}{16}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] + [tex]\frac{10}{16}[/tex]
Before adding we require the denominators of both fractions to be common
Multiply numerator/ denominator of first fraction by 4
= [tex]\frac{1(4)}{4(4)}[/tex] + [tex]\frac{10}{16}[/tex]
= [tex]\frac{4}{16}[/tex] + [tex]\frac{10}{16}[/tex] ( now add the numerators leaving the common denominator )
= [tex]\frac{4+10}{16}[/tex]
= [tex]\frac{14}{16}[/tex]
The fraction can be simplified by dividing the numerator/ denominator by 2 to
[tex]\frac{7}{8}[/tex]
Help help bell help be math ASAP
Answers
Answer:
2x + 2 = 28
2x = 26
x = 13
Step-by-step explanation:
what does 5/6+1/3 equal
Answers
Answer:
5/6 + 1/3 = 7/6
Step-by-step explanation:
Look at the graph below. What is the slope of the line?
A. - 1/2
B - 2
C. 1/2
D. 2
Answers
Answer:
1/2
Step-by-step explanation:
We know two points on the line
(-1,1) and (3,3)
The slope of a line is given by
m = (y2-y1)/ (x2-x1)
= ( 3-1)/(3- -1)
= (3-1) /(3+1)
= ( 2/4
= 1/2
what is the unit rate if there are 1,760 in 8 servings
Answers
Answer:
Unit rate = 220 calories
Step-by-step explanation:
In order to find the unit rate, you simply have to divide the total number of calories (1760) by the number of servings (8).
1760/8=220.
Therefore, the unit rate is 220 calories.
Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .
Answers
Answer:
y= -2x+9
Step-by-step explanation:
First of all, since they need to be parallel, they must have the same slope to never intercept. Next, you can use a graphing calculator to test y-intercepts like desmos. You will find that 9 works, as it goes through (4,1) and never intercepts with the 1st line.
What is the vertex of the absolute value function below?
(will give brainliest)!!!
(–3, –2)
(–3, 2)
(2, –3)
(2, 3)
Answers
Answer:
(-3,2)
Step-by-step explanation:
Go where the two coordinates match, you'll see that it's (-3,2).
I see that that's Edge2021, I know how that feels. :/
Hope this helped! :)
Answer:
(-3, 2)
Step-by-step explanation:
help plssssssssssssssssssssssssssssssssssssss
Answers
Mark has taken four tests so far this quarter. His grades were 88%, 95%, 80%, and 92%. What is the mean of his test scores?
Answers
88+95+80+92= 355
355 divided by 4= 88.75
Answer:
88.75%
Step-by-step explanation:
add all the terms given = 355
there are 4 terms.in this set.
355 ÷ 4 = 88.75
1plss help, it time.............................
Answers
Answer:
24 in
Step-by-step explanation:
Compare "like" things:
Big/small = Big/small
30/L = 10/8
Crossmultiply
240 = 10L
Divide by 10
240/10 = 10L/10
24 = L
Please help?!! Hurry please!!
Answers
Answer:
C. [tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} [/tex]
Explanation:
[tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} \\ = \frac{ {m}^{2} - 2m + m - 2 }{ {(m)}^{2} - {(1)}^{2} } \\ = \frac{ m(m - 2) + 1(m - 2)}{(m - 1)(m + 1)} \\ = \frac{(m + 1)(m - 2)}{(m - 1)(m +1) } \\ = \frac{(m - 2)}{(m - 1)} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
You start at your school, 10 miles from your house and walk home at a rate of 2 miles per hour **negative slope since you are walking toward your house so the distance to home is DECREASING Distance from Home In Miles Distance from Home (Miles) TO 5 Time (Hours)
Answers
Answer:
Step-by-step explanation:
If you're supposed to plot that, it would be a line from (0, 10) to (5, 0)
slope would be -2 mi/hr
WILL MARK BRAINLIEST The width of a table is 2 feet less than the length. The area is 20 square feet. Find the dimensions. Show and
explain all work using mathematical concepts in this module.
Answers
Answer:
length ≈ 5.583 ft
width ≈ 3.583 ft
Step-by-step explanation:
If we let x represent the length of the table in feet, then the width is (x-2). The area is ...
A = LW
20 = x(x -2)
Writing this in standard form gives ...
x^2 -2x -20 = 0
The coefficients used in the quadratic formula are a=1, b=-2, c=-20. The solutions are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(-20)}}{2(1)}\\\\=\dfrac{2\pm\sqrt{4+80}}{2}=1\pm\sqrt{21}[/tex]
Of these values, the only one that makes sense is ...
length = 1+√21 ≈ 5.583 ft
width = length -2 ≈ 3.583 ft
Let width is x
length be x+2
Area=Length ×Breadthx(x+2)=20x²+2x=20x²+2x-20=0On solving
we get
x is around 3.58 or 3.6ft
Width=3.6ftLength=3.6+2=5.6ftWhat is the LCD/LCM of this equation
-12.2 + 2.8W - 8.8 = 1.05w
Answers
Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W
Step-by-step explanation:
Answer:
LCD/ LCM = 100
Step-by-step explanation:
- 12.2 + 2.8W - 8.8 = 1.05W
- 12 [tex]\frac{2}{10}[/tex] + 2 [tex]\frac{8}{10}[/tex] W - 8 [tex]\frac{8}{10}[/tex] = 1 [tex]\frac{5}{100}[/tex] W
- [tex]\frac{122}{10}[/tex] + [tex]\frac{28}{10}[/tex] W - [tex]\frac{88}{10}[/tex] = [tex]\frac{105}{100}[/tex] W
the LCM/ LCD is 100
A Biology test has 20 questions and is worth a total of 100 points. The test
consists of True/False questions worth 2 points each and multiple choice questions
worth 7 points each. How many of the test questions
are multiple choice and how
many of the test questions are True/ False?
# of true/false questions =
# of multiple choice questions =
THIS IS ALGEBRA PLEASE
Answers
Answer:
I've done alot of calculations on this but I cant get a definite answer I hope you got it I'm sorry I couldn't help you I tried but only got into a dead end
10 miles per hour is an example of an objects what?
Answers
Step-by-step explanation:
Speed is the correct answer
a box contains 4 red balls and 6 purple balls. Ezra takes out a ball, puts it back and then takes out another ball. what is the probability that both balls were red
Answers
Answer:
16/100 = 4/25
Step-by-step explanation:
4/10 * 4/10 = 16/100
On a number line, where would 2/10 be located? Choose all answers that make
a true statement.