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

Answer 1

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

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

Related Questions

If a person walks 1/3 mile in 15 minutes, how far will that person walk in one hour?

Answers

Answer: 1 1/3 miles

Step-by-step explanation:

Since we know that an hour is 60 minutes, and 60 divided by 15 = 4, then we can multiply 1/3 times 4 to get the total number of miles in 60 minutes.

1/3 X 4 = 4/3

4/3 = 1 1/3

Therefore, the answer is 1 1/3 miles.

Answer:In an hour, a person will walk 4/3 mile.Step-by-step explanation:1/3 mile = 15 minutes=> 1/3 mile x 4 = 15 x 4 minutes=> 4/3 mile = 60 minutesConclusion:

Therefore, in an hour, a person will walk 4/3 mile.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

The midpoint of AB is M(1, -4). If the coordinates of A are (-3, -6), what are the coordinates of B

Answers

Answer:

Step-by-step explanation:

x value of M is 1 - (-3) = 4 units to the right of A

B will be another 4 units to the right of M or x = 1 + 4 = 5

y value of M is -4 - (-6) = 2 units above A

B will be another 2 units above M or y = -4 + 2 = -2

B = (5, -2)

HELP! I don't understand

Answers

Answer:

Step-by-step explanation:

1/2x + 4 = 10
solve the following equation algebratically. Show the work to support the answer.

Answers

Answer:

(1/2)x + 4 - 4 = 10 - 4

2(1/2)x = 6 * 2

x = 12

I MARK BRAINLIEST AND 50 points!!! find the magnitude of the resultant. forces of 92.6 lb and 118 lb act on an object. the angle between the forces is 75.2°.
a) 208 lb
b) 130 lb
c ) 168 lb
d) 150 lb

Answers

Answer:

This a vector addition problem and you need to know the law of cosines and law of sines to solve this problem.

Two vector forces of 80lbs and 70 lbs act on an object at 40 degree angle between them.

The magnitude of the resultant force can be found by applying the law of cosines:

c2 = a2 + b2 - 2abcos140°

where a = 80, b = 70 and c is the resultant force vector you are asked to find

Once you find the magnitude of the resultant force, then you can find the angle it makes wrt the 70lb force using the law of sines:

sinα/a = sin140°/c

where α is the angle opposite side a, or the angle between the resultant and the 70lb vector that you are asked to find. so it would be 140lbs

Step-by-step explanation

What is that answer Share 126 gallons of petrol between Steve and Dave in the ratio 2:5

Answers

5+2=7 parts in the ratio
126÷7=18 gallons per part
s:d
18x2:18x5
36:90

2x-y=3
X+y=3
Slove equations algebraially

Answers

These are simultaneous equations

Add the two equations together and get

3x = 6

x = 2

2 + y = 3

y = 1

Find two numbers whose sum 7500 and whose product is the maximum value.
(Round your answer to the nearest whole number.)
Blank = 1
Blank = 2

Answers

The two numbers whose sum is 7500 and whose product  is a maximum value are 3750 and 3750.

Let the two numbers be x and y.

Since their sum equals 7500,

x + y = 7500  (1)

Their product f(x,y) = xy  (2)

We desire to maximize the product.

From (1), x = 7500 - y

Substituting x into (2), we have

f(x,y) = xy

f(x,y) = (7500 - y)y

f(y) = 7500y - y²

To maximize the product, we find the value of y that maximizes f(y), we differentiate f(y) and equate it to zero.

So, df(y)/dy = d(7500y - y²)/dy

f'(y)/dy = d(7500y)/dy - dy²/dy

f'(y)/dy = 7500 - 2y

Equating it to zero, we have

7500 - 2y = 0

7500 = 2y

y = 7500/2

y = 3750

To determine if this gives a maximum for f(y), we differentiate f'(y) with respect to y.

So, f"(y) = d(7500 - 2y)dy

f"(y) = 0 - 2

f"(y) = -2 < 0.

So, y = 3750 gives a maximum for f(y) = f(x, y)

Since x = 7500 - y

Substituing y = 3750 into the equation, we have

x = 7500 - 3750

x = 3750

So, the two numbers whose sum is 7500 and whose product is a maximum product are 3750 and 3750.

Learn more about product of two numbers here:

https://brainly.com/question/15607519

Which symbol correctly compares the two angle measures? pi/4 radians_____30°
A. <
O B. >
C. =
I don't know the answer and thats my guess :,)​

Answers

Answer:

B. [tex]\frac{\pi }{4} Rad>30^{0}[/tex]

Step-by-step explanation:

[tex]\frac{\pi }{4} Rad=(180/4)^{0} =45^{0}[/tex]

Hope this helps

What is the slope of the line?

Answers

Answer:

[tex]-\frac{1}{3}[/tex]

Step-by-step explanation:

If we take points [tex](1,1)[/tex] and [tex](4,0)[/tex] from the line, we can determine the slope:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{0-1}{4-1}=\frac{-1}{3}=-\frac{1}{3}[/tex]

Therefore, the slope of the line is [tex]-\frac{1}{3}[/tex]

W/5+20=22. How do I do this

Answers

Answer:

W = 10

Step-by-step explanation:

W / 5 + 20 = 22

W / 5 - 20 = 22 - 20

W / 5 = 2

W * 5 = 2 * 5

W = 10

Step-by-step explanation:

[tex] \frac{w}{5} + 20 = 22 \\ \\ \frac{w}{5 } = 22 - 20 \\ \\ \frac{w}{5} = 2 \\ \\ w = 5 \times 2 \\ \\ w = 10[/tex]

In an A.P. if Tₚ = q and Tq = p, then find the rth term.
Please solve this problem​

Answers

Formula:

We know that

nth term of the AP is Tn = a+(n-1)d

Where, a = First term

d = Common difference

n = number of terms

Now,

Given that

pth term of the A.P. = Tp = q

⇛a + (p-1)d = q

⇛(p-1)d = q - a

⇛d = (q-a)/(p-1) →→→→(i)

and

qth term of the A.P. = Tq = p

⇛a + (q-1) d = p

⇛ (q-1)d = p-a

⇛ d = (p-a)/(q-1) →→→→(ii)

From Eqn(i) and Eqn(ii)

⇛(q-a)/(p-1) = (p-a)/(q-1)

On applying cross multiplication then

⇛(q-a)×(q-1) = (p-a)×(p-1)

⇛q²-q-aq+a = p²-p-ap+a

⇛q²-q-aq = p²-p-ap

⇛ap-aq = p²-p+q-q²

⇛a(p-q) = (p²-q²)-(p-q)

⇛a(p-q) = (p+q)(p-q)-(p-q)

⇛ a(p-q) = (p-q){(p+q)-1}

On cancelling (p-q) both sides then

⇛a = (p+q-1) →→→→Eqn(iii)

On Substituting the value of a in Eqn(ii) then

⇛ d = [p-(p+q-1)]/(q-1)

⇛d = (p-p-q+1)/(q-1)

⇛d = (-q+1)/(q-1)

⇛d = -(q-1)/(q-1)

⇛d = -1

We have,

a = p+q-1 and d = -1

Now, rth term of the AP

⇛ Tr = a + (r-1)d

⇛Tr = (p+q-1)+(r-1)(-1)

⇛ Tr = p+q-1+(-r+1)

⇛ Tr = p+q-1-r+1

⇛ Tr = p+q-r

Therefore, Tr = p+q-r

Answer: rth term of the given A.P. is p+q-r

Answer:

rth=q+p+qxp

Step-by-step explanation:

rth= 3 of the T and Tq added together and joined.

Try changing these improper fractions to mixed numbers.
16/5?

( teach me how to solve this please!)

Answers

Answer:

3 1/5

Step-by-step explanation:

The improper fraction 16/5 is called improper because the top number(the numerator) is bigger than the bottom number(the denominator) we "fix" this by dividing and creating a mixed number (it is called mixed because there is a whole part and a fraction part):

As 16÷5 >>> doing this division gives you 3 wholes and 1/5 leftover. We write this as

3 1/5 (in handwriting the three is big and the 1/5 is a fraction, it is the mixed number they are asking you for)

A 3-inch candle burns down in 4 hours. If b represents how much of the candle, in inches, has burned away at any time given in hours, t, write a proportional equation for b in terms of t that matches the context

Answers

use this equation:

b+t+3+4

Find the equation that represents the proportional relationship in this graph, for y in terms of x.

Answers

Answer:

y = 0.4 x

Step-by-step explanation:

Which equation best matches the scenario below?

The total cost t is proportional to the number n of items purchased at a constant price of $4.

A) 4t = n
B) t = 4n
C) t = n ÷ 4
D) 4t = 4n

Answers

Answer:

Definetly t = 4n

Evaluate the expression for m = 45.
m|
54
Submit

Answers

[tex]|m| -54\\\\\text{When}~ m=45,\\\\|45| -54 = 45 -54 = -9[/tex]

[tex]\huge\textbf{Hey there!}\\\\\\\\\\\\\\\huge\boxed{\mathbf{|m| - 54 = }}\\\huge\boxed{\rightarrow \mathbf{|45| - 54 = }}\\\huge\boxed{\mathbf{\rightarrow 45 - 54}}\\\\\huge\text{Start at 45 and go back 54 to the left.}\\\huge\text{You should be left on \boxed{\bf -9}}\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{-9}}}\checkmark\\\\\\\\\\\\\\\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}\\\\\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Solve the inequality below for z.
8z+3>3z-17
A.z>-4
B.z<-14/5
C.z<-4
D.z>-14/5

Answers

a.
8z+3 > 3z-17
subtract 3 from both sides
8z > 3z -20
subtract 3z from both sides
5z > -20
divide both sides by 5
z > -4
Answer: z > -4Step-by-step explanation:8z + 3 > 3z - 17=> 8z - 3z > -3 - 17=> 5z > -20=> z > -4Conclusion:

Therefore, the solved inequality is z > -4.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Perform the indicated operations/solutions.
1. 12-7+45÷15x11=
2. 16x2+12-18÷9-4=

Answers


1. 12-7+45÷15x11=50.6
2. 16x2+12-18÷9-4=38

What is the second number in the sequence?

Answers

Answer:

Step-by-step explanation:

Let "n" be the second odd number in the sequence

(n - 2) + n + (n + 2) + (n + 4) + (n + 6) = 135

                                              5n + 10 = 135

                                                      5n = 125

                                                        n = 25

23 + 25 + 27 + 29 + 31 = 135

Write -37.75 as a mixed number.​

Answers

Answer:

[tex]-37\frac{3}{4}[/tex]

Step-by-step explanation:

0.75 is equivalent to three quarters, or (3/4).

3/4 would be the fraction. -37 would be the whole number.

[tex]-37.75 = \boxed{-37\frac{3}{4}}[/tex]

Hope this helps.

Answer:

- 37 3/4

Step-by-step explanation:

Find the value of x. Round to the nearest degree.

Answers

Ok done. Thank to me :>

Determine if a relation is a function {(-1,5), (2, 7), (-3,2), (-1, 1)}

Answers

The relation is NOT a function

Answer:

Step-by-step explanation:

A relation is only a function if ALL the x-values (the first number in the pairs) ONLY have one partner.

Check that -1

At first that -1 is paired up with a 5 in the ordered pair (-1, 5) but then later... that -1 is down there hanging out with a 1 in the last ordered pair (-1, 1).

This means that this relation (all the pairs lumped together) is NOT a function. Just because of that -1 pairing up with more that one partner.

please help me on this one would be great help.

Answers

t = 60

please mark me brianliest

Answer:

60

Step-by-step explanation:

Don Swifter earns $9.75 per hour as a clerk. He starts work Monday through Friday morning at 8:00 AM. He takes a one-half hour lunch break every day. If he finishes work at 3:30 PM Monday through Thursday, how late must he work on Friday to have total pay of $360.75 for the week?

Answers

Answer:

He works until 5:30.

Step-by-step explanation:

ok so first, every day don would take a total of 7 hours and 30 minutes on mon-Thurs. If we subtract his lunch from that total it would be 7 hours so next we do 7 hours times 9.75 which is 68.25$. Now that we know how much he makes per day, we times that by 4 since mon-thurs is 4 days. This would be 273$. Now we need to get to 360.75 so we subtract that. This would be 87.75$. Now if a normal day is 68.25$ and friday is 87.75, we find the diffrence which is 19.50. which is also 9.75(an hour) x 2 resulting in 2 hours extra. Therefore, he works 9 hours and 30 minutes on fridays (until 5:30). Thanks for putting in the work to understand and have a nice day!

Don must work approximately 9 additional hours on Friday to have a total pay of $360.75 for the week.

How to determine how late he must work

Don works from 8:00 AM to 3:30 PM Monday through Thursday. Let's calculate his total work hours for these four days:

Total work hours from Monday to Thursday:

(3:30 PM - 8:00 AM) - 0.5 hours (lunch break)

= 7.5 hours - 0.5 hours

= 7 hours (per day)

Total work hours for the week (Monday to Thursday):

4 days x 7 hours/day = 28 hours

Total pay for the week = Hourly rate x Total work hours + Additional hours on Friday

$360.75 = $9.75 x 28 hours + Additional hours on Friday

Additional hours on Friday = ($360.75 - $9.75 x 28) / $9.75

Additional hours on Friday = ($360.75 - $273) / $9.75

Additional hours on Friday = $87.75 / $9.75

Additional hours on Friday ≈ 9 hours (rounded to the nearest hour)

Learn more about work hours

https://brainly.com/question/3164396

#SPJ3

Which of the following graphs is described by the function given below?
y = 2x2 + 6x + 3
5
101
10
10
-20
20
- 10
10
-10
20-
101
A.
B.
C.
D.
A. Graph A
B. Graph B
O C. Graph C
D. Graph D

Answers

Answer:

Which of the following graphs is described by the function given below?

y = 2x2 + 6x + 3

-A. Graph A

The function y = 2x^2 + 6x + 3 is a quadratic function that has a vertex of (-1.5,-1.5)

How to determine the graph of the function?

The equation of the function is given as:

y = 2x^2 + 6x + 3

Differentiate

y' = 4x + 6

Set to 0

4x + 6 = 0

This gives

4x = -6

Divide by 4

x = -1.5

Substitute x = -1.5 in y = 2x^2 + 6x + 3

y = 2(-1.5)^2 + 6(-1.5) + 3

Evaluate

y = -1.5

This means that the function y = 2x^2 + 6x + 3 has a vertex of (-1.5,-1.5)

See attachment for the graph of y = 2x^2 + 6x + 3

Read more about quadratic graphs at:

https://brainly.com/question/18797214

#SPJ5

Explain plzzzzzzzzzzzzzz

Answers

Answer:

8/3

Step-by-step explanation:

x equals 8/3

7x_2_4x_6=0

3x=8 ÷3 in both sides

Look at the top questions. Pls I need help asap I don’t get it

Answers

X is the bottom and y is the left side an it should be straight

1 A polynomial expression of degree three is shown below.
8x3 + 125
Which expression represents the correct factorization of the polynomial?
A (2x + 5)(4x2 + 10x + 25)
B (2x + 5)(4x2 + 10x - 25)
C (2x + 5)(4x2 - 10x + 25)
D (4x + 25)(2x2 - 10x + 5)

Answers

Answer:

D şıkkı iyi dersler hadi

Answer:

C: [tex](2x+5)(4x^2-10x+25)[/tex]

Step-by-step explanation:

First of all, you need to be able to recognize the two terms as cubes, and what they are cubes of. In this case, [tex]8x^3 = (2x)^3[/tex] and [tex]125=5^3[/tex].

Then you have to find a way you like to remember the formula for how to factorize. The way I do it is by saying "the binomial has the same zero as the original, so [tex]x^3+a^3=(x+a)(...)[/tex] and [tex]x^3-a^3 = (x-a)(...)[/tex] and the whole expression has one minus sign attached to the second term of either factor. In the sum of cubes first parenthesis has a plus, so the second term of the other parentesis has to take that minus: [tex]x^3+a^3=(x+a)(x^2-ax+a^2)[/tex] while in the difference of cubes you already used a minus, so everything else goes plus: [tex]x^3-a^3=(x-a)(x^2+ax+a^2)[/tex]

Or you commit the two formulas to memory.

Help...................

Answers

Step-by-step explanation:

the surface area of that object consists of

2 triangles (one left, one right)

1 rectangle at the top

1 rectangle at the bottom

1 rectangle in the back

so, we need to calculate the area of each of these 5 areas and sum them up. that's it.

the area of such a triangle is

6×8/2 = 24 m²

we have 2 such triangles, so in total they are 48 m².

the rectangle at the top

10×12 = 120 m²

the rectangle at the bottom

12×8 = 96 m²

the rectangle in the back

12×6 = 72 m²

so the total surface area is

48 + 120 + 96 + 72 = 336 m²

Other Questions
(3-5i)^2i know the answer Im just confused on how to get to that point. Please and thank you! PLSSS help now!!!!!! Will mark Brainlyest !!! Leo solved the equation b = 12 a13 for a, but made an error. His work is shown. Complete the sentences that follow. 13. My (A) best friend, Lan, always is (B) late for school because (C) she goes to bed (D) late. 5. Why do you think the Lady Beaming Bright left the elixir of life to Mikado and not to her foster parents? Question 124 ptsourrsRead the statements about The Book Thief and choose the one that is correct.7O Ilsa Hermann knows the Liesel steals books from her library and leaves the window open toencourage her to keep stealing.MSMax gives Liesel two books he has stolen, The Standover Man and The Word Shaker.ker Viktor Chemmel is finally brought to a stop when Liesel beats him up for throwing her book inthe river.When Liesel fills the basement with snow, she makes Max sick because he eats some of it.PreviousNext > Write a simple sentence using an er verb (include who, what where and when.) Answer the questions below.(a) The perimeter of a rectangular field is 276 m.If the length of the field is 75 m, what is its width?Width of the field: /m Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine xx, how much each bottle of juice costs. help me plz ineed help 1. Increased government spending that leads to more totalspending isA contractionary fiscal PolicyB expansionary fiscal policyC aliases-faireD legislative fiscal policy If the temperature changes by 100 K, by how much does it change in degrees Celsius?A. 0 degrees CelsiusB. 100 degrees CelsiusC. 37 degrees CelsiusD. 273 degrees Celsius At Howard High School, 6% of the students ride bikes to school. If 950 students attend Howard High School, how many students ride a bike to school?I need the answer like rn... A firm has the following fixed proportion production function q = min(k, 2l). a. Find the firms long-run total, average, and marginal cost functions. b. Suppose that k is fixed at 20 in the short run. Calculate the firms short-run total, average, and marginal cost functions. c. Suppose v = 1 and w = 3. Calculate this firms long-run and short-run average and marginal cost curves. Q4. A firms production function is given by q = 2z1 + 3z2. Given the input prices, w1 for z1 and w2 for z2. a. Find the input demands z1 and z2 minimizing the cost of producing the level of output q. b. Find the cost function for producing the level q. after buying one bottle caps for 27.70 richard has 19.15 left how much money did richard have to begin with??? 19=5+7x i need explanation its two step equation btw How many groups of are there in 30? a student is standing 20 feet away from the base of a tree what is linear independent vector Helpppp I need help If you cant really see it,says if m