The diagram shows a rectangle ABCD. The point A is (2, 14), B is (−2, 8) and C lies on the x-axis. Find
(i) the equation of BC,
(ii) find coordinates of C and D

Answers

Answer 1

Answer:

Step-by-step explanation:

since AB and BC are perpendicular so AB.BC=0, (scalar product)

AB=(-4, -6), and BC=(xc+2, yc-8)

AB.BC= -4x-8-6y+48 =0

so the equation of BC is 2x+3y-20=0

C is on the line BC, so 2xc+3yc-20=0, but yc=0, so xc=20/2=10

AB and CD are parallel, so det(AB, CD)=0

AB and AD are perpendicular so AB.AD=0

AB=(-4, -6) and CD =(x-10, y), AD= (x-2, y-14)

det(AB, CD)=0

             x-10-y = 0 equivalent to  x-y = -10

AB.AD=0

 -4x+8-6y+84=0  equivalent to   2x+3y=44

let's solve

x-y = -10

2x+3y=44

-5y = -64, y = 64/5, x= -10+64/5=14/5

finally  D(14/5, 64/5)


Related Questions

The endpoints of GH are G(-3,0) and G(7, -8) Find the coordinates of the midpoint M

Answers

Answer:

(2,-4)

Step-by-step explanation:

Answer part A and part B

Answers

Answer: Part A: a square pyramid Part B: 84 square feet

Step-by-step explanation:

Part A: The shape will have a base that is a square with triangles on each of its edges that connect at a point at the top.

Part B: The amount of nylon needed is the surface area of the net. There is a square and two triangles. The square has a side length of 6 so its area will be 6*6=36 square feet. Each triangle has a base of 6 and a height of 4 so each of their areas will be [tex]\frac{6*4}{2}=12[/tex] square feet. Adding up the area of the 4 triangles and the square gives us 4*12+36=84 square feet.

I dont think I can write this; any help?

Answers

Answer:

3^2-5

4th Answer (d)

4th from the top.

Step-by-step explanation:

A 100 ftladder leans against a building. When the angle of elevation of the ladder is 81 degrees, how high up the building will the ladder reach?

Answers

Answer:

I am not to sure but i think a.

Step-by-step explanation:

I really don’t know but I hope this helps

I need help with the perimeter

the measurements of a rectangular tablecloth are 94 cm and 64 cm.

how many cm does the perimeter of the tablecloth measure?

how many cm of fabric were used to make it?

Answers

Step-by-step explanation:

1) Perimeter = 2(l + w)

Perimeter = 2(94 + 64)

Perimeter= 2(158) = 361 cm

2) Fabric required = Area

Area = l × b

Area = 94 × 64

Area = 6016 cm²

Word Problem:

The measurements of a rectangular tablecloth are 94 cm and 64 cm.

Solution and Answer:

How many cm does the perimeter of the tablecloth measure?

Perimeter = 2(Length × Width)P = 2(l + w)P = 2(94 + 64)P = 2(158)P = 316 cm

Therefore, the perimeter of the tablecloth is 316 cm.

How many cm of fabric were used to make it?

Area = length × widthA = l × wA = 94cm × 64 cmA = 6,016 cm²

Therefore, the fabric is 6,016 cm².

Solve each equation. Be sure to check for extraneous solutions 53=5|p-4|+8

Answers

53=5p+28
Got answer from the lord

The diameter of a circle has endpoints (7, 33) and ( 31, 1). Part One: What is the radius of the circle in units?

Answers

Answer:

20 units

Step-by-step explanation:

31 - 7 = 24

33 - 1 = 32

24 ^2 + 32^ 2 = c^2

576 + 1024 = c^2

c = 40(diametre)

r = 40÷ 2

= 20 units

What is the multiplicative inverse of: ⅔

Answers

Answer:

the multiplacative inverse of ⅔ is 3/2 because when we multiply them both it returns 1

2/3 x 3/2 = 1

Elizabeth continued to save for her car down payment.

What was her balance A after she made another deposit?

O $995
O $985
O $975
O $855

Answers

Answer:

985

Step-by-step explanation:

they are asking what her balance was after her first deposit (A) so you only adding 65.00 to the original 920.00

Inga is playing poker with some friends.

Let p represent the statement "Inga has two aces in her hand." Let q represent the statement "Inga has a full house." [Note, a "full house" is a specific type of hand in the game of poker.]

Which symbolic form represents the English sentence "Inga has either two aces in her hand or she has a full house."?

Group of answer choices

Answers

Symbolic form involves using symbols to represent statements. The symbolic form of the given sentence is p v q

Given that:

[tex]p \to[/tex] "Inga has two aces in her hand."

[tex]q \to[/tex] "Inga has a full house."

The given sentence "Inga has either two aces in her hand or she has a full house." can be represented as:

Either p or q

In symbolic form, either/or is represented as: v

So, the representation of either p or q is: p v q

Read more about symbolic forms at:

https://brainly.com/question/17042406

Here it is help me pls

Answers

Answer:

(- ∞ , 3) u (7 , ∞ )

Step-by-step explanation:

f(x) is negative below the x- axis

This is int the intervals x < 3 , x > 7

domain is (- ∞ , 3 ) u (7, ∞ )

Evaluate 3x when x = -8.

Answers

x = -8

3x = 3 · (-8) = -24

.......

Un cantante subió una publicación la semana pasada en una red social, obtuvo 21 751 "me gusta" y 83 464 "me encanta" por parte de sus fans. Sise sabe que 57 329 de los que participaron en la publicación eran del sexo femenino, ¿cuántas personas eran del sexo masculino? *
A. 46 786 B. 47 886
C. 57 896
D. 57 96​

Answers

Tenemos que resolver un ejercicio algebraico.

Veremos que la opción correcta es B: 47,886

Lo que sabemos es:

21,751 fans pusieron "me gusta"

83,464 pusieron "me encanta"

Asumimos que cada fan puede usar una sola de esas dos cosas.

Entonces el número total de fans es:

21,751 + 83,464 = 105,215

Tambien sabemos que entre los fans, hay 57,329 mujeres.

Entonces el resto serán hombres:

105,215 -  57,329 = 47,886

Podemos concluir que hay 47,886 hombres, por lo que la opción correcta es B.

Si quieres aprender más, puedes leer:

https://brainly.com/question/24585056

A shadow 60 meters long is cast by a stone tower that is 32 meters tall. If a cedar tree close
by casts a shadow 15 meters long, how tall is the cedar tree?
Write your answer as a whole number or a decimal. Do not round.

Answers

Answer:

107

Step-by-step explanation:

you will add 60 + 32 +15 = 107 that is how i got the answer

What is 0.446 kilometer rounded to the nearest tenth?

Answers

Answer:

0.4 is your answer :3

Step-by-step explanation:

What does the digit 2 represent in 701, 280?
Twenty thousand
Two hundred
Two hundred thousand
Two thousand

Answers

It represents two hundred

please help 14 points

Answers

multiply 4 and 3 then add 2, 14/3
14/3 is the improper factor I did this to

What is the greatest common factor of 42 and 64

Answers

The GCF should be 2
Yea 2 or 7 I think or it might be 8

Is p(4p - 9) =12 or p(4p - 9) - 12 quadratic?

pls need help
From: Brainly.ph (philippines​)

Answers

Answer:

p(4p - 9) =12 ⇒ 4p² - 9p = 12 ⇒ 4p² - 9p - 12 = 0

This is a quadratic equation

p(4p - 9) - 12 ⇒ 4p² - 9p - 12

This is a quadratic expression

Step-by-step explanation:

p(4p-9)=124p²-9p=12

Since, it's one term has power 2 ,so it is quadratic

p(4p-9)-124p²-9p-12

Since, it's one term has power 2, so it is quadratic

Helpppppppppppppppppppp

Answers

Step-by-step explanation:

could you write it clearly pls !!!

Answer:

s = 3/10

Step-by-step explanation:

-S - 5st =0

S = 3

t = -2

-3 - 5 (-2) s =0

10 s = 3

s = 3/10

urgent answer needed pls​

Answers

Answer:

25.

SEE THE IMAGE FOR SOLUTION

Jaxon swam 100 meters in 2 minutes 30 seconds. If each lap is 25 meters long which is most likely to be her time in seconds per lap

Answers

37.5 sec/lap

Step-by-step explanation:

2 m and 30 sec to sec equals 150 sec

each lap is 25 m

100 ÷ 25 = 4 laps

150 ÷ 4 = 37.5 sec per lap

The number of writing instruments in some teachers' desks is displayed in the dot plot. Which is greater the mean or the median? Explain your reasoning using the shape of the distribution.

please help..
30 points

Answers

The median is greater than the mean. From the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean.

In the given chart we can deduce the following;

number of instruments that is 5 = 1number of instruments that is 6 = 1number of instruments that is 7 = 1number of instruments that is 8 = 1number of instruments that is 9 = 3number of instruments that is 10 = 4number of instruments that is 11 = 2number of instruments that is 12 = 1

These numbers can be listed as follows;

5, 6, 7, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12

The median of these numbers is calculated as;

[tex]median = \frac{9+ 10}{2} = 9.5[/tex]

The mean of these numbers is calculated as;

[tex]mean = \frac{5+6+7+8+9+9+9+10+10+10+10+11+11+12}{14} = 9.07[/tex]

Thus, the median is greater than the mean.

Also, from the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean. But if the distribution is skewed to the right, the mean is always greater than the median.

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b. A line with a positive slope slants
and to the right. A line with a
negative slope slants
and to the right. A
line has zero
slope. A
line has undefined slope. Pleaseee help

Answers

Answer:

A line with a positive slope will slant up from left to right. Rise when calculating slope, the rise is the vertical distance between two specified points.

Write an equation of the line passing through point P that is perpendicular to the given line:
P(6, 0) y=4

Answers

Answer:

x=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is one of those things that will drive you insane until you understand the answer.

Every y value is 4 no matter what x is.

The perpendicular will meet y = 4 at the point (6,4)

Answer: So the equation has to be x = 6.

The blue line is y = 4

The red line is x = 6

The point of intersection is marked.

Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate

Answers

Answer:

11000 JY.

Step-by-step explanation:

According to today's exchange rate

1 US dollar = 110 JY

100 US dollars = 100 * 110 JY

You should get 11000 JY.

Pick the answer that is closest to this exchange rate.

Answer:

Gym B and Gym A charge the same hourly rate for childcare.

evaluate the expression c[tex]a^{2}[/tex]+a
for a=5 and c=-2

Answers

ca^2+a

= -2×5^2+5

= -2×25+5

= -50+5

= -45....

The spinner below shows 10 equally sized slices. Lisa spun the dial 1000 times and got the following results.

Answers

Answer:

where are the results

Step-by-step explanation:

(please help!)
Add −1.25+2.5

Plot the first addend and the sum on the number.

Answers

Answer:

the answer of this question is 1.25

-1.25+2.5 = 1.25.
___

Simplify the following expression:

2x − 8y + 3x2 + 7y − 12x

Question options:

3x2 − 14x − y


3x2 − 10x − y


3x2 − 10x − 15y


3x2 + 10x − y

Answers

Answer:

2nd option

Step-by-step explanation:

Given

2x - 8y + 3x² + 7y - 12x ← collect like terms

= 3x² + (2x - 12x) + (- 8y + 7y)

= 3x² + (- 10x) + (- y)

= 3x² - 10x - y

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