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

Rob owns stock in dowc beverage co. and agram imports. he owns 86 more shares of agram imports, which pays a dividend of $5.15 per share, than he does of dowc beverage co., which pays $6.52 per share. if rob receives $4,585.15 in dividends annually, how many shares of agram imports does he own? a. 535 shares b. 635 shares c. 398 shares d. 441 shares

Answers

If Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.

What is a dividend?

A dividend is the distribution of cash or stock that a company makes to its stockholders periodically.

Dividends are usually based on a dividend payout ratio, determined by the Board of Directors of the company.

Data and Calculations:

                                       Dowc Beverage Co.     Agram Imports

Dividend per share                 $6.52                               $5.15

Number of shares                    x                                     x+ 86

Number of shares                 355 (441 - 86)                  441 (355 + 86)

Total dividend received      $2,314.60 ($4,585.75 - $2,271.15))  $2,271.15

which is equivalent to $2,314.60 ($355 x $6.52)

Assuming total shares from Agram Imports to be 441, the total dividends will be $2,271.15 ($5.15 x 441), and, the dividend from Dowc Beverage Co. will be $2,314.60 and the number of shares will be 355 ($2,314.60/$6.52), which is 86 less than the shares in Agram Imports.

Thus, if Rob receives $4,585.75 in annual dividends, the number of shares of Agram Imports that Rob owns is D. 441 shares.

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In 2014 the population of Kenya was estimated to be 45,121,040 with a growth rate of 2.7%. Question 1 Use the exponential growth formula to write an equation that estimates the population y in terms of the time t. Enter your answer in the box. Then apply the exponential growth formula to estimate the population of Kenya in 2020. Round to the nearest whole number

Answers

Answer:

y = 45,121,040×1.027^t

Step-by-step explanation:

An exponential growth equation is generally of the form ...

 value at time t = (initial value)(growth factor)^t

where the growth factor is the multiplier for a period equal to one time unit.

Here, the initial value (in 2014) is 45,121,040. The growth factor is given as 1.027 (2.7% added per year), and we can define t as the number of years after 2014. Then our equation is ...

 y = 45,121,040×1.027^t . . . . where t = years after 2014

find the area of parallelogram whose height is 6 cm and base 5 cm

Answers

Answer:30cm^2Step-by-step explanation:

A parallelogram is a type of quadrilateral(four sides polygon) that has both the pair of opposite sides parallel and equal.

Area of a parallelogram = height× base

from the question,

height= 6cm

base= 5cm

area= 6×5= 30cm^2

9000 dollars is placed in an account with an annual interest rate of 8% how much will be in the account after 17 years to the nearest cent

Answers

12,240 dollars is the answer

What is the minimum or maximum value of the given function

Answers

Answer:

It has a minimum of -3 and a unkown maximum

Step-by-step explanation:

A yard dart is thrown from a height of 3 feet with an initial velocity of 25 feet per second at an elevation angle of 70°. how long is the dart in the air? round to the nearest tenth. 0.7 seconds 0.8 seconds 1.5 seconds 1.6 seconds

Answers

Based on the height the yard dart is thrown from, the inital velocity, and the elevation angle, the length of time the dart is in the air is 1.6 seconds.

What amount of time did the dart spend in the air?

This can be solved using a projectile motion calculator which can show you the velocity of the dart and the time it spent in the air.

Plugging in the given values above, we find that the yard dart spent a total of:

= 1.6 seconds in the air

In conclusion, option D is correct.

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Estimate the weight of the chips in the bag.

Answers

Answer:

Kale, 1 carrots, 4 sweet potatoes, 3, beets, 2

Step-by-step explanation:

um just round

P.S. Iready sucks

Answer:

Kale ; 1(oz)

Carrots; 4(oz)

Sweet Potatoes; 4(oz)

Beets; 2(oz)

Step-by-step explanation:

When rounding anything that is equal to or greater than 5 rounds up, anything that is less than 5 rounds down.

Round to the nearest whole ounceVegetable        |     Weight(oz)

       Kale              \          1.35                ⇒    1(oz)

    Carrots            \         3.50                ⇒   4(oz)

Sweet potatoes   \         3.81                ⇒   4(oz)

      Beets              \        2.29                ⇒   2(oz)

When rolling a pair of die, what is the probability of rolling the sum of 12 OR less than 5? P(sum of 12 OR <5)

Answers

Because there are 36 total possibilities, the probability P (sum of 12 OR 5) is 7/36.

What is the definition of probability?

It is defined as the ratio of favorable outcomes to total outcomes; in other words, the probability is the number that indicates the likelihood of an event occurring.

Given data;

Total outcomes rolling a pair of dice =6×6=36

Probability obtaining the total of 12 is;

P(A) = 1/36

P(A) = 1/36

P(A) = 1/36

Probability of obtaining the total is less than 5:

P(B)=6/36

the probability of rolling the sum of 12 OR less than 5 is calculated as;

P(sum of 12 OR 5) = 1/36 + 6/36

P= 7/36

Hence,the probability P (sum of 12 OR 5) is 7/36.

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please need help with this question

Answers

8 × 6 = 8 × (5 + 1)

… = (8 × 5) + (8 × 1)

… = 40 + 8

… = 48

#89 will give brainliest for best answer!​

Answers

Answer:

Median: 11

Range: 12

25th Percentile: 9

75th Percentile: 14

Interquartile Range: 5

Step-by-step explanation:

The median is the line in the 'middle' of the box. The range is the largest number minus the smallest number. 25th Percentile is the first line of the box, 75th is 3rd line. IQR is the 75th Percentile - 25th Percentile.

Hope this helps! :)

What is the area of the figure shown?

Answers

Check the picture below.

now, we're making an assumption that, the two blue shaded region are equal in shape, and thus if that's so, that area above the 14 is 6 and below it is also 6, 14 + 6 + 6 = 26.

so hmm if we simply get the area of the trapezoid and subtract the area of the yellow triangle and the area of the cyan triangle, what's leftover is what we didn't subtract, namely the shaded region.

[tex]\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h~~=height\\ a,b=\stackrel{parallel~sides}{bases~\hfill }\\[-0.5em] \hrulefill\\ h=15\\ a=14\\ b=26 \end{cases}\implies A=\cfrac{15(14+26)}{2}\implies A=300 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Areas}}{\stackrel{trapezoid}{300}~~ - ~~\stackrel{yellow~triangle}{\cfrac{1}{2}(26)(9)}~~ - ~~\stackrel{cyan~triangle}{\cfrac{1}{2}(15)(6)}} \\\\\\ 300~~ - ~~117~~ - ~~45\implies 138\qquad \textit{blue shaded area}[/tex]

15-(7+3x)=16-(4x-1)
please give me a step by step answer, I don't understand the rules to removing parenthasees and I keep getting different answers :( pls help

Answers

Answer:

Step-by-step explanation:

please help. Trying to find the missing measure. Explanations needed

Answers

Answer:

l=5.1in

r=2.4in

Step-by-step explanation:

size increase of 50% so just add (+50%) to both existing values

Describe how to identify the lines of symmetry in the shape below.​

Answers

This shape has 2 lines of symmetry!

A line of symmetry is where both sides are equal and you split it in between
EX: when you fold when you put the line, both sides will be equal!

PS: A circle has infinite amount of symmetry, it’s lines aren’t straight which makes it round and all equal

In a circle with radius 4, what's the
area of a sector with a central
angle that measures 132 degrees?

Answers

Answer:

18.43 units

Step-by-step explanation:

132/360 cause 360 degrees in circle

π4^r=area of totoal

16π= area

16π*132/360=18.4306769011

Find the value of x.

11.4
12.6
18.9
15.3

Answers

The value of d is 15.3

On a piece of paper graph f(x) = 3x if x<3 2x if x>3 then determine which answer choice matches the graph you drew​

Answers

It's a combine function (Alike signum function)

Which is given by

[tex]\\ \rm\Rrightarrow f(x)=\begin{cases}\sf 3x,x<3\\ \sf 2x,x>3\end{cases}[/tex]

Find some points

(0,0)(1,3)(4,8)(2,6)

Graph attached

Red line is 2x and blue one is 3x

A right rectangular pyramid is sliced vertically (down) by a plane passing
through the vertex of the pyramid. what is the shape of the cross-section?

Answers

A right rectangular pyramid when sliced vertically, the  shape of the cross-section is known as Triangle.

What is A triangle?

This is known to be a kind of shape that is said to be in  a closed form and it is also known to be a 2-dimensional shape that has 3 sides, 3 angles, and also 3 vertices.

Note that when the when the right rectangular pyramid is sliced vertically (down) by a plane passing through the  of the pyramid, the new shape of the cross-section is a triangle.

See full question below

A right rectangular pyramid is sliced vertically (down) by a plane passing through the  of the pyramid. What is the shape of the cross-section?

A. Rectangle

B. Pyramid

C. Triangle

D. Trapezoid

See full question below

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BC = ?
please help me

Answers

Answer:

tan65=?/7

7*tan65=?

=15.0115

What is the value of y?
a.) 17.25
b.) 33
c.) 37
d.) 39

Answers

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

u know that the left triangle is not a right angles triangle so u cannot do Pythagoras and 27 is the other bottom side meaning that the length of the left triangle base is 20.25

Find the area of the triangle ABC with the coordinates of A(10, 5), B(15, 15), and C(30, 9).
A = units²

Answers

Answer: 90

Step-by-step explanation:

What is 9x8-7+4x10-2x7

Answers

Answer:

91

Step-by-step explanation:

9x8-7+4x10-2x7

72-7 + 40- 2x7

72 - 7 + 40 - 14

65 + 40 - 14

105 - 14

= 91

Please help! I'm timed. ​

Answers

Answer:

M=-10/4

M=-5/2

-5/4+m=-15/4

Step-by-step explanation:

Original equation:

3/4+m=-7/4

=-5/2

the other answers mentioned above is also -5/2

Hope that helps!

The two polygons are similar.

1. Find X

2. Find Y

Answers

Answer:

x=11

y=9

Step-by-step explanation:

place both and solve for x and y.

in the figure below, lines p and q are parallel. What do you notice?

35 points

Answers

Answer:

Answer:

A

Step-by-step explanation:

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

Angle 4 and 5 are both obtuse angles. There measurements are greater than 90 degrees and less than 180 degrees. Angle 4 and 5 could be either a 120 degree angle or a 130 degree angle.

The factors of 52 and the first three factors of 130 are listed in the table below. Fill in the remaining five factors of 130 and then identify the greatest common factor, or GCF, of 52 and 130.



Type the multiples in the increasing order.
130: 1, 2, 5,

GCF of 52 and 130:

Answers

Factors of 130: 1, 2, 5, 10, 13, 26, 65, 130

GCF of 52 and 130 is 26

I found a similar question here so that's what I can only tell you. I hope it will help you.

Ac and db are chords that intersect at point h. a circle is shown. chords a c and d b intersect at point h. the length of a h is 20 minus x, the length of h b is 12 minus x, the length of d h is x 4, and the length of h c is x. what is the length of line segment db? 4 units 8 units 16 units 20 units

Answers

The chords ac and db are intersecting chords, and the length of line segment db is 16 units

How to determine the length of segment db?

The given parameters are:

ah = 20 - x

hb = 12 - x

dh = x + 4

hc = x

Start by calculating the value of x using the following intersection chord equation

ah * hc = dh * hb

So, we have:

(20 - x) * x = (x + 4) * (12 - x)

Solve for x

x = 4

The length of segment db is calculated using:

db = dh + hb

So, we have:

db = x + 4 + 12 - x

Substitute 4 for x

db = 4 + 4 + 12 - 4

Evaluate

db = 16

Hence, the length of line segment db is 16 units

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Answer:

c

Step-by-step explanation:

Paige has a cell phone plan that charges $0.06 per minute plus a monthly fee of $15.00.She budgets $25.50 per month for her total cell phone expenses without taxes.
What's the maximum number of minutes Paige could use her phone each month and still stay within her budget?
A. 675
B.425
C. 250
D.175

Answers

The answer is 175 explanation: 25.50 -15 =10.5 divided by 0.06 = 175
D. Is the correct answer because minus the 15 from the 25.50 you get how much is left then decide that by 0.06 and you get the answer x

-5(y+.2)=25 what is y? PLEASE SOLVE ASAP

Answers

-5(y+2)=25

y+2=25 ÷(-5)

y+2= -5

y= -5-2

y=7

how to do a reflection on the line y=-x

Answers

change (x,y) -> (-y,-x)

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