Of Q is the midpoint od RP, Find the coordinates of R if P(9,-2) and Q (4,5)

Answers

Answer 1

Answer:

(-1,12)

Step-by-step explanation:

let R be(x,y)

Q(4,5)=midpoint

R(x,y)=(x1,y1)

p(9,-2)=(x2,y2)

now,

(4,5)= x1+x2/2 , y1+y2/2

(4,5)= x+9/2 , y-2/2

so,

x+9/2=4              y-2/2=5

x+9=8                  y-2=10

x= -1                      y=12

therefore, R(x,y)= (-1,12)


Related Questions


Identify the domain, range, and codomain in each graph. Then use the codomain and range to determine whether the
function is onto.

Answers

Answer:

Step-by-step explanation:

Domain : Set of all possible input values (x-values) on a graph

Codomain : Set of all possible out values for the input values (y-values) on the graph

Range : Actual output values for the input values (x-values) given on the graph.

Therefore, for the given graph,

Domain : (-∞, ∞)

Codomain : (-∞, 2]  

Range : (-∞, 2]

From the given graph every input value there is a image or output value.

Therefore, the given function is onto.

Three sides of a triangular field are of lengths 10 m, 20 m and 15 m respectively. Find the cost of fencing the field at the rate of Rs 25 per m.

Answers

Answer:

Step-by-step explanation:

Length of fence = Perimeter of triangle

                          = 10 + 20 + 15

Length of the fence = 45 m

Cost of fencing per meter = Rs. 25

Cost of fencing 45 m = 25 * 45

                                  = Rs. 1125

[tex]\huge{\fbox{\fbox{Given:}}}[/tex]

Lengths of the three sides of triangle are 10m,20m and 15m.

Length of the fence =

Perimeter of the ∆

[tex](10 + 20 + 15)m \\ = 45m[/tex]

[tex]\large{\fbox{\gray{Cost \: of \: fencing \: the \: field=}}}[/tex]

[tex]45 \times 25 = Rs1125[/tex]

▬▬▬▬▬▬▬▬▬▬▬

Write two polynomial functions whose quotient will be the same degree as the divisor.

Answers

Answer:

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

[tex]q(x) = 2x - 1[/tex]

Step-by-step explanation:

Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]

Let

[tex]f(x) = 6x^2 - 11x + 4[/tex]

[tex]g(x) = 3x - 4[/tex]

The quotient of two polynomial is the result of division between the two polynomials

Let q(x) represent the quotient polynomial

[tex]q(x) = \frac{f(x)}{g(x)}[/tex]

Where g(x) is the divisor

[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]

Factorize the numerator

[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]

[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]

[tex]q(x) = 2x - 1[/tex]

Notice that: q(x) and g(x) have the same degree of 1

between what two integers is √32

Answers

Answer:

5 and 6.

Step-by-step explanation:

5^2 = 25 and 6^2= 36

As we know, 32 is between 25 and 36, therefore √32 is between √25 and √36.

n.p + p for n = 3 and p = 6

Answers

Answer:

Hey there!

3.6+6

9.6

Let me know if this helps :)

Solve for s.
8-45 5+13

Answers

where is the s in here though

Write an algebraic expression that represents the following statement: “7 less than the quotient of 5 and n" *

Answers

[tex]\huge\boxed{\boxed{\bold{\frac{5}{n}-7}}}[/tex]

[tex]\hrulefill[/tex]

We'll start with the expression for the quotient of [tex]5[/tex] and [tex]n[/tex], which means we'll use division:

[tex]\frac{5}{n}[/tex]

Now we find [tex]7[/tex] less than that, meaning we'll use subtraction:

[tex]\frac{5}{n}\bold{-7}[/tex]

3
Find the side length of a cube with a volume of 141 yd

Answers

Answer:

Do you have a picture of the problem/graph?

Step-by-step explanation:

Only then, can i provide an acurate answer!

pls & thx

The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n=m−a n = −m − a n=a+m n = a − m

Answers

Answer:

n = m − a

Step-by-step explanation:

Given:

a = m - n

Where,

a = Actual cost an item

m = Original price

n = amount of coupon

Solve the formula for the amount of the coupon

a = m - n

Add n to both sides

a + n = m - n + n

a + n = m

Subtract a from both sides

a + n - a = m - a

n = m - a

Amount of coupon, n = Original price of an item, m - Actual cost of an item, a

-(-21) = -21 true or false

Answers

Answer:

False

Step-by-step explanation:

-(-21) is positive 21 since there are 2 negative signs, and -21 is negative, therefore they are not the same.

Hope this helps!

Answer:

False. It is equal to 21.

Step-by-step explanation:

-(21) would equal -21

However,

- (- 21) equals 21

The two negatives "cancel" each other out.

Answer: False. It is equal to 21.

You have taken up gardening for relaxation and have decided to fence in your new
rectangular shaped masterpiece. The length of the garden is 4 meters and 34 meters
of fencing is required to completely enclose it. What is the width of the garden?

Answers

Answer:

  13 meters

Step-by-step explanation:

Adjacent sides form half the perimeter, so the sum of the unknown side and the given side is 34/2 = 17 meters.

  4 meters + width = 17 meters

  width = 13 meters . . . . . subtract 4 meters

True or false, 6 divided by 1/2 is larger than 6 1/2​

Answers

Answer:

True

Step-by-step explanation:

6 divided by 1/2 is the same as multiplying by two

Answer:

True

Step-by-step explanation:

6 divided by 1/2 = 12

You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12

Can you explain why -5.5 x -5.5 = 30.25 if 5x5 equals 25???? Why is it 30 and not 25??? Please show math.

Answers

5.5x5.5 = 30.25 because its in a half, not exactly 5. and its a positive answer because two negatives when multiplied or divided equals a positive

show that (x+1)(x+3)(x+5) can be written in the form ax^3 + bx^2 + cx+ d where a,b,c and d are all positive integers.

Answers

Answer:

x³ + 9x² + 23x + 15

Step-by-step explanation:

Given

(x + 1)(x + 3)(x + 5) ← expand the first pair of factors using FOIL

= (x² + 4x + 3)(x + 5)

Each of the terms in the second factor is multiplied by each of the terms in the first factor, that is

x²(x + 5) + 4x(x + 5) + 3(x + 5) ← distribute the 3 parenthesis

= x³ + 5x² + 4x² + 20x + 3x + 15 ← collect like terms

= x³ + 9x² + 23x + 15 ← in the form ax³ + bx² + cx + d

if x divided by 5 = 1760 , what is x ?

please help !

Answers

if x divided by 5 = 1760 , what is x ?

Set up an equation

[tex]\frac{x}{5}=1760[/tex]

Cross multiply

[tex]x=8800[/tex]

:)

Answer:

8,800

Step-by-step explanation:

5×1760=8800 if u divide that by 5

you get 1760

so its 8800

Question 4 -
Next >
What is the mode given the data set: 97, 82, 87, 97, 100, 75, 81?
A
81
B.
82
C.
97
D.
100
what’s the mode

Answers

It is c 97 cause it has the most of the same number

Given f(x) = 4(x - 8), determine the value of f(10).

Answers

Answer:

f(x) = 4(x - 8)

        4 (10 -8) = 8

Step-by-step explanation:

8 because you would replace the x with 10. f= 4((10) - 8)

Help ASAP!!!! Please , 15 points

Answers

Answer:

im probably wrong but i think it's C

the answer is B (37 degrees)

15p+69=93.
solve for both variables

Answers

To solve for p is
15p+69=93
-69=-69
15p=24
Divide both sides by 15
15P/15=24/15
P=1.6

Write the ratio in simplest form 9 to 12

Answers

The factors of 12 are 1, 2, 3, 4, 6, and 12. So the greatest common factor of 9 and 12 is 3. So you divide both sides by 3. So the simplest form of 9 to 12 is 34 .

Solve the equation for the variable.

[tex]13x - 3.4 = 17.6 + 10x[/tex]
x = [?]​

Answers

Answer:

[tex]13x - 3.4 = 17.6 + 10x[/tex]

[tex] = ) \: 13x - 10x = 17.6 + 3.4[/tex]

[tex] = ) \: 3x = 21[/tex]

[tex] = )x = \frac{21}{3} [/tex]

[tex] = ) \: x = 7[/tex]

Answer:

x = 7

Step-by-step explanation:

13x - 3.4 = 17.6 + 10x

13x - 10x = 17.6 + 3.4

3x = 21

x = 21 : 3

x = 7

simplify the following expressions ( use distributed property )

Answers

Answer:

x - 3y

Step-by-step explanation:

Step 1: Write expression

[tex]\frac{3x-9y}{3}[/tex]

Step 2: Factor

[tex]\frac{3(x-3y)}{3}[/tex]

Step 3: Simplify

x - 3y

D
AB = 21
DC = 3x
AD = y +7
BC = 2y
Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show that quadrilateral ABCD is a parallelogram
by finding the lengths of the opposite side pairs.
A)
7.3
B)
14,7
21,7
D
21, 14

Answers

Answer:

D) 21,14

Step-by-step explanation:

Solve for k.
7k - 2 ≥ -9​

Answers

Answer: k ≥ -1

Step-by-step explanation:

7k - 2 ≥ -9

add two to both sides

7k ≥ -7

k ≥ -1

Answer:

k​ ≥ -1

Step-by-step explanation:

7k - 2 ≥ -9​

add 2 to both side

7k  ≥ -7

divide both sides by 7

k​ ≥ -1

1 less than the product of 2 and a number

Answers

2x-1 because the product of 2 and a number would be 2x and less than one; less than is subtract so in that case it would be 2x-1.

Product of 2 and a number less than 1 is 2a - 1

Given:

Product of 2 and a number less than 1

Find:

Expression

Computation:

Assume;

Another number is "a"

So,

According to question:

2(a) - 1

Product of 2 and a number less than 1 = 2a - 1

Learn more about liner equation;

https://brainly.com/question/3726207?referrer=searchResults

The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are

Standard form: - 2 p^2 + 24p - 54

Factored form: -2(p - 3)(y-9)

Vertex form: -2(p-6)^2 + 18.

Which form is most useful for finding a. The prices that give a profit of zero dollars?

b. The profit when the price is zero?

c. The price that gives the maximum profit?​

Answers

Answer:

Step-by-step explanation:

If the profit of a company made by the company is in the form a quadratic expressions but in the different forms as given in the question.

a). The prices that give a profit of zero dollars.

    Expression that is most useful,

    Factored form: -2(p - 3)(p - 9) = 0

    p = 3, 9

b). The profit when the price is zero .

    Standard form:

    Profit = -2p² + 24p - 54 = 0

    -p² + 12p - 27 = 0

    -p² + 3p + 9p - 27 = 0

    -p(p - 3) + 9(p -3) = 0

     (-p + 9)(p - 3) = 0

     p = 3, 9

c). The price that gives the maximum profit.

   Vertex form: -2(p - 6)² + 18

   Vertex of the given expression → (6, 18)

   Maximum profit will be at p = 6.

   Therefore, profit = -2(6 - 6)² + 18 = 18

Is there a difference between 6.780 and 6.78? Why or why not?

Answers

Answer:

Step-by-step explanation:

No there is no difference because in a decimal the zero's don't matter, they can go on infinitely but if the numbers above zero are the same and in the same order then the zero's don't make any difference.

True Or False The Solution to an equation is the ONE number that makes it true.

Answers

false, a solution can be multiple numbers

Answer:

True.

Step-by-step explanation: If you substitute the solution into the original equation, it is the only number that will make the equation balanced or have an equal value on both sides of the equals sign.

The perimeter of a rectangle is 150. The length of the rectangle is 9 more than the width. Find the width.

Answers

Answer:

33

Step-by-step explanation:

Length = Width + 9

Perimeter = Length + Length + Width + Width

Perimeter = Width + 9 + Width + 9 + Width + Width = 150

4(Width) + 18 = 150

Subtract 18 from both sides:

4(Width) + 18 - 18 = 150 - 18

4(Width) = 132

Divide 4 on both sides:

[tex]\frac{4(Width)}{4} =\frac{132}{4}[/tex]

Width = 33

I need help with this :) (easy)

Answers

.2x.8=.16
2.4x.7=1.68
3.9x.4=1.56
.9x.1=.09
.2x1.5=.3
.6x.6=.36

Answer:

Step-by-step explanation:

0.2 times 0.8 =0.16

2.4 times 0.7 = 1.68

3.9 times 0.4 = 1.56

0.9 times 0.1 = 0.09

0.2 times 1.5= 0.3

0.6 times 0.6= 0.36

pls mark brainliest

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