Given the points K(-2;5), L(1,3) and M(-5; 2p). Calculate the value
of p if KL ILM.

How do I solve this question?

Answers

Answer 1

The product of the perpendicular lines is a negative one. Then the value of p will be negative 3.75.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Given the points K(-2,5), L(1,3) and M(-5, 2p).

If KL is perpendicular to LM. Then we have

The slope of KL will be

KL = (1+2)/(3-5)

KL = -1.5

The slope of LM will be

LM = (1+6)/(3-2p)

LM = 7/(3-2p)

We know the product of the perpendicular lines is a negative one.

        KL x ML = -1

-1.5 x 7/(3-2p) = -1

              -10.5 = -3 + 2p

                 2p = -7.5

                   p = -3.75

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Related Questions

To divide x3y by x4y, first divide y by y to get x3/x4. Which of these would you do next to solve?

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the division of x³y by x⁴y is equal to 1/x.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The division of x³y by x⁴y can be done as,

x³y/x⁴y

= x⁽³⁻⁴⁾ y⁽¹⁻¹⁾

= x⁻¹

= 1/x

Hence, the solution of the division of x³y by x⁴y is equal to 1/x.

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Helpppppppppp meeeeeee pleaseeeeeeeee

Answers

Answer:

If you are rounding to the nearest tens the smallest number is 45. If you are rounding to the nearest whole number, the smallest number is 49.5

Answer:

49 and 51

Hope it helps

Angle relationships with parallel lines

Answers

Answer:

x = 132

Step-by-step explanation:

x = 180 - 48

x = 132

x+48=180 (Angle On A Straight Line)
x=180-48
x=132

How many times can you subtract the number five from 25.

Answers

Answer:

one time

Step-by-step explanation:

because after that you would subtract by 20

1/4 how do u get 16 from it show me the calculations​

Answers

Answer:

It's not possible to get 16 from 1 divided by 4 alone. It will always be 0.25

Amber is solving the inequality |x+6| - 12 < 13 by graphing. Which equations should Amber graph?

Answers

Answer:

y₁ = |x+6|  ; y₂ = 25

Step-by-step explanation:

|x+6| - 12 < 13

⇔ |x+6| < 25

Equation for the given inequality is equals to [tex]y_{1} =| x+ 6| , y_{2} =25[/tex]

What is inequality?

" Inequality is defined as the algebraic expression which represents the relation between two variables using sign of inequality."

According to the question,

Given inequality,

|x+6| - 12 < 13

Add both the side of the inequality 12 we get ,

|x+6| - 12+12< 13 + 12

⇒  |x+6| < 25

As represent in the graph equation for the given inequality are,

[tex]y_{1} =| x+ 6| , y_{2} =25[/tex]

Hence, equation for the given inequality is equals to [tex]y_{1} =| x+ 6| , y_{2} =25[/tex].

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the bill at an electronics store was $52 before tax.
tax is 5 percent. what is the total price with tax?

Answers

Answer:

$54.6

Step-by-step explanation:

To solve the question, we need to find how much 5% of 52 is

For questions where we need to calculate the percentage, we will multiply the number by given percentage and then divide it by the whole, 100%

52*5/100 = 2.6

Now the price before the tax was 52 and the tax is 2.6

the total price:

2.6 + 52 = 54.6

Choose all the equations that are equivalent
to -3(x - 2) = 4x − 2(x - 1).
-
Enter the corresponding letters, in alphabetical
order, separated by commas (without spaces).
A. -5x = -4
B. -5x = 4
C. -5x = 8
D. 2x - 4 =-3x
E. -3x + 6 = 2x + 2
F. -3x - 6 = 2x - 2

Answers

Answer:

a,e

Step-by-step explanation:

Answer:

A, E

Step-by-step explanation:

lets first solve the equation using distributive property:

-3(x-2)=4x-2(x-1)

-3x+6=4x-2x+2

-3x+6=2x+2    (E)

Now move the like terms on one side:

-3x-2x=2-6

-5x=-4             (A)

can i have some help with this?

Answers

Introduction:

          Hello, my name is Snacks, and I will help you out! :-D

For the answer, refer to the "Answer" portion of this answer. For the step-by-step procedure, refer to the "Procedure" portion of this answer.

Thank you.

So, let's start.

[tex]\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square\square[/tex]

"Answer" portion ↓

[tex]\frak{14x+8}[/tex]

"Procedure" portion ↓

Let's take a look at our problem, it says we need to find the perimeter of the rectangle; luckily, we have all the info we need!

This is the perimeter formula:

⇒[tex]\frak{Perimeter_{rectangle}=2(a+b)}[/tex]

So basically, it says we need to take the rectangle's length (a), add it's width (b), and multiply their sum times two, and this is equal to the perimeter.

The problem tells us that:

⇒ Length 5x+5

⇒ Width 2x-1

As the equation says, we should add the length and the width:

⇒ 5x+5+2x-1

⇒5x+2x+5-1

⇒7x+4

· Hooray! We found the perimeter!

× Actually, we didn't find the perimeter, yet! Remember, we also need to multiply by 2.

Multiplication results in

⇒ 2(7x+4)

expanding the expression

⇒14x+8

· Now we did find the perimeter, and what's more, we've written it in simplest form.

hope it's helpful!wishing you a great day!

[tex]\mathbb{LUSCIOUS\:SNACKS} -\:Greetings\:![/tex]

--

This diagram shows the plan for a wooden deck. The scale dimensions of the deck are shown.
If the scale used in the diagram is 1/4 = 1ft.
what is the perimeter of the actual deck?

36 ft

48 ft

12 ft

3 ft

Answers

The correct answer is 48ft :)

Someone please help me plsssssssssssssssssssssssssssss

Answers

Answer:

232

Step-by-step explanation:

6 cm
6 cm
What is the area?

Answers

Answer:

= 18 [tex]cm^{2}[/tex]

Step-by-step explanation:

As the triangle is right angled:

formula  

       = [tex]\frac{1}{2}[/tex] base x height

         = [tex]\frac{1}{2}[/tex] 6 x 6

         =[tex]\frac{1}{2}[/tex] x 36

         =[tex]\frac{36}{2}[/tex]

           = 18 [tex]cm^{2}[/tex]

What is the product? assume x greater-than-or-equal-to 0 (startroot 3 x endroot startroot 5 endroot) (startroot 15 x endroot 2 startroot 30 endroot)

Answers

The product of the expression assuming x greater-than-or-equal-to 0 is; (30x√30).

What is the product of the expression?

The product of the expression assuming the fact that x greater-than-or-equal-to 0 can be evaluated as follows;

(√(3x) × √5) (√15x × 2√30)

(√15x × 2√450x)

(2√6,750x²)

(30x√30)

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50. Mrs. Lopez made decorative candles in different
sizes for sale at her church. All of the candles are in
cylindrical jars. The size of the largest candle was bigger
than the smallest candle by a scale factor of two. If the
height and radius of the smallest candle are 5 cm and
1.7 cm, respectively, calculate the volume of the biggest
candle. Use 3.14 for T. Round to the nearest hundredth.

Answers

The volume of the biggest candle given the volume of the smallest candle is  90.75cm³.

What is the volume of the largest candle?

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder =πr²h

π = 3.14r = radius

Volume of the smallest candle = 3.14 x 5 x 1.7² = 45.37 cm³

Volume of the largest candle =  45.37 cm³ x 2 = 90.75cm³

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please help.... thank you​

Answers

Answer:

going from left to right

1. 1/2

2. 3/4

3. 1 1/4

4. 1 1/2

5. 1 3/4

6. 2 1/2

7. 2 3/4

8. 3 1/2

9. 3 3/4

since 1/2 is > 1/4

and 3/4 is > 1/2

whenever you have a number in front of a fraction, it goes between the number it is (say 3) and the number after (4)

hope this helps:)

A triangle has a base of 8 cm and a height of 12 cm.
What is the area of the triangle?

Enter your answer in the box.

*box* cm2

Answers

Answer: 48 cm^2

Step-by-step explanation:

The equation for the area of a triangle is 1/2(base*height). Plug in the numbers to get an equation of 1/2(8*12). 8*12 = 96. Now divide by 2. 96/2 = 48.

Answer:

48 cm^2

Step-by-step explanation:

a triangle area is hb/2

so 8*12=96

96/2=48 therefore 48 is the answer.

three-quarters of a number is 12 more than two-third of the number what is the number

Answers

Answer:

oww my brain but umm 3 i think

Step-by-step explanation:

pretty sure

For the function: f(x) = 18 − x − x2
Find f(9)

Answers

f(9) = 18-9-(9)^2

=> f(9) = 18-91-81

=> f(9) = -153

A landscape architect used the entire length of an 80-foot rope to lay out a flower bed in the shape of a square. In another area, he used the entire length of the same rope to lay out a second flower bed in the shape of a circle. (Drawings not to scale.)


What is the area of the square?



What is the area of the circle? Round your answer to the nearest square foot?



Which shape should the landscape architect recommend to a client who wants the largest possible area for an 80-foot rope?

A.
Square

B.
Circle

Answers

Answer: The area of the square is 400sqf.

Answer 2: Area of circle = 509.31 square feet.

Answer 3: The circle because the circle's are is larger

Answers:

Area of the square = 400 square feetArea of the circle = 509 square feetRecommended shape with largest area = Circle

==========================================================

Explanation:

The rope forms the perimeter of each shape. This is the distance around the outer edges.

The square has all four sides the same length. Since we have 80 feet of rope, each side must be 80/4 = 20 feet long.

The area of the square is 20*20 = 400 square feet.

--------------

The circle has a circumference of 80 feet, which leads to a radius of...

C = 2*pi*r

r = C/(2pi)

r = 80/(2pi)

r = 12.732395

which is approximate. I used my calculator's stored version of pi so I could get the most accuracy possible.

Then use this to find the area of the circle

A = pi*r^2

A = pi*(12.732395)^2

A = 509.295782

This value is also approximate.

When rounding to the nearest whole number, we get A = 509

The area of the circle is about 509 square feet.

The circle has the largest area.

What are the odds of rolling a sum of 6 using two number cubes? (Hint.. there are 36 possible outcomes)

Answers

Answer:

5/36

Step-by-step explanation:

there are only 5 times you can get a sum of 6,

1+5,2+4,3+3,4+2,5+1( note: the first value is from the first die and the second is from the second die)

Which of the following are true? Select all that apply.

1. 9 m = 9000 mm
2. 8 km = 8000 m
3. 10 cm = 100 mm
4. 890 cm = 8900 m
5. 2000 m = 20 km
6. 4 m = 40 cm

Answers

The following are true:

1. 9 m = 9000 mm

2. 8 km = 8000 m

3. 10 cm = 100 mm

What is unit conversion?

Unit conversion is a multi-step process that involves multiplication or division by a numerical factor, selection of the correct number of significant digits, and rounding.

1. 9m in mm

  1 m = 1000 mm

  9 m = 9000 mm

2. 8 Km in m

   1 Km = 1000 m

   8 Km = 8000 m

3. 10 cm in mm

    1 cm = 10 mm

    10 cm = 100 mm

4. 890 cm in m

   1 cm = 1/100 m

   890 cm = 8.9 m

5. 2000 m in Km

   i m = 1/1000 Km

   2000 m= 2 Km

6. 4 m in cm

    1 m = 100 cm

    4 m = 400 cm

From the above discussion (1), (2), (3) are true.

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40% of the cars in a parking lot were american made cars. if there are 60
american made cars in the parking lot, how many cars are in the lot?

Answers

there are "x" amount of cars in the lot, and oddly enough that's 100%, if we know that 60 is 40% of that, what is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x & 100\\ 60& 40 \end{array} \implies \cfrac{x}{60}=\cfrac{100}{40}\implies \cfrac{x}{60}=\cfrac{5}{2} \\\\\\ 2x=300\implies x=\cfrac{300}{2}\implies x=150[/tex]

HELP!!!!!!
This is the only thing i dont understand in my math class

Answers

Answer:

{1, 2, 3, 4}

Step-by-step explanation:

Concepts

The domain of a function is all the possible x-values for that function. In other words, it's all the x-coordinates listed in the graph.

Application

In this case, we have to list the domain of the given function. To do this, we have to first label the points, and then list their x-coordinates in increasing order.

Solution

Points:

(1, 4)(2, 3)(3, 2)(4, 1)

X-Coordinates:

1, 2, 3, 4

Domain:

{1, 2, 3, 4}

The G.C.D of the three number and their L.C.M is 900. Two of the number are 60 and 150. what are the other possible numbers​

Answers

Another two number can be 30 and 30

Find the value of x. Round your answer to the nearest tenth

Answers

Answer:

Your answer would be 24 but then if you  round it to the nearest tenth the you would have 20

Step-by-step explanation:

i hope this helps

please help I need this​

Answers

Answer:

the best answer is B

commending, is the act of praise or approval

C

Answer:

Why because u and the person sharing room, he or she is not slave to you. he or she do 50 percent and you 50 percent to keep peace in the room. steps why if the person say they are moving out then in that case who will clean the room

Will mark brainlist to whoever answers first!
Full explanation please

Answers

Answer:

D

Step-by-step explanation:

To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image. The ratio of these distances gives us the scale factor,

J-(2,2)

A-(4,4)

--

G-(-2,-2)

C-(-4,-4)

--

H-(4,4)

B-(8,8)

a birthday cake is divided equally between 9 people what fraction of the cake does each person have?

Answers

i am pretty sure it is 1/9 because each person gets a piece of the cake and if there are 9 people there are 9 pieces.

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

  A birthday cake is divided equally between 9 people.

What fraction of the cake does each person have?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{\underline{Answer and How to solve:-}}}}[/tex]

[tex]\ast[/tex] Remember, a fraction looks like:-

[tex]\boxed{\frac{\xrightarrow{numerator}x}{\xrightarrow{denominator}{y}}}[/tex]

Where:-

numerator -> number of parts takendenominator -> total parts

In this case we divide a cake equally between 9 people, so we divide the cake into 9 parts, and each person gets a part of the cake.

So we have a fraction as follows:-

[tex]\dfrac{?}{9}[/tex]

Now, each person gets 1 part. 1 becomes our numerator:-

[tex]\dfrac{1}{9}[/tex]

[tex]\uparrow\sf{Our\:Answer}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

Find y.
Do not round your answer.
9 in
у
5 in
Х
19 in
y = [ ? ] in
=

Answers

Answer: 11.2

I found the answer in the comments and figured I should make it an answer, so it's easy to find:)

<3

Which is Greater, negative 2 and 2 fifths or negative 2 and 1 forth?

Answers

Answer:

-2 and 1/4

Step-by-step explanation:

1/4 is equal to 0.25

2/5 is equal to 0.40

Because it is negative, 1/4 is considered greater.

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