3. Is the line through points P(0, -9) and Q(2, -8) perpendicular to the line through points R(1,4) and S(3, 3)?
Explain.

Answers

Answer 1

Answer:

no

Step-by-step explanation:

1. to make up the equations of lines PQ and RS:

(PQ)  [tex]\frac{x-0}{2} =\frac{y+9}{1}; \ \frac{x}{2}=\frac{y+9}{1};[/tex]

(RS)  [tex]\frac{x-1}{-2}=\frac{y-4}{1}; \ \frac{x-1}{-2}=\frac{y-4}{1};[/tex]

2. to write the pointed verctors of PQ and RS:

for PQ it is p=(2;1); for RS it is r=(-2;1).

3. according to the pointed vectors it is clear, the given lines are not perpendicular [2*(-2)+1*1≠0].


Related Questions

triangle is graft on a coordinate grid and then translated three units to the left in two units up. Of one vertice of The original triangle is located at (1,-8) what is the order pair of this vertex of the new triangle after translation?

Answers

Answer: 33

Step-by-step explanation:

I need help please!:D

Answers

Answer:

first one bro, its easy just multiply 10×10×10=30and0,43

Answer: 30 x 50 = 430/10 x 0.43 = 4.3 thats all i got bc im working on the same thing

Step-by-step explanation:

If the diameter of the circle is 24 cm, find its area correct to one decimal place.

A= ______ cm2

Answers

Answer:

A=pi times radius squared

24/2= 12 is the radius (since it's half of diameter)

A=pi times 12 squared

12 squared is 12 times 12 which is 144

A=pi times 144

A=452.389342

Rounded to 452.4

A labtop has ablisted price of $739.98 befire tax. If the sales tax rate is 8.75%, find the total cost of the labtop with sales tax included.

Answers

The total was 804.73 pretty sure

Graphing Ratios Which line includes the ratios in the table? Reading a Graph All the ratios lie on line 4 .

Answers

Answer:

the answer is b

Step-by-step explanation:

literally it just said b i thought it was a number currently crying

Answer:

Yes it's b

edge

Step-by-step explanation:

Help me pleaseeeeeeeeeeeeeeeeeeeeeeeee

Answers

Eduardo is packing 12 pairs of mismatched socks for his trip.

Answer:

12

Step-by-step explanation:

(30 - 6) /2 = 24 / 2 = 12

PLEASE HELP!!


Does this circle have a radius or a diameter?

Answers

Answer:

2yd is the radius.

Step-by-step explanation:

it has a radius pls give brainliest Bae

Find the​ t-value such that the area left of the​ t-value is 0.01 with 8 degrees of freedom.
A. 2.896
B. -4.501
C. 2.998
D. -2.896

Answers

Answer:a is the answer

I NEED HELP ASAP WITH THIS QUESTION

Answers

Answer:

A: mean and mode

B: mean

C: median and mode

D: median is greater

Step-by-step explanation:

im not so sure about the answer for a bit I hope this helped you a bit.

what are the first four multiples of the number 6

Answers

Answer:

6,12,18,24

Step-by-step explanation:

3) 4 hours worked for $12; 7 hours worked for $28
O yes
no

Answers

Answer:

no cuz if u work for 4 hours and get $12 then if u work for 7 hours u get $21

Step-by-step explanation:

It depends on what you want to reach because 12 * 4 = 3 and 28 * 7 = 4 ...., But if you want to reach those measures the answer is YES but if both have to give you the same, the answer is NO

What is the distance along the unit circle between any two successive 8th roots of 1?

Answers

Answer:

C.) pi/4

Step-by-step explanation:

Edg 2020, answered the question and got it right :)

The cable railway was driven by a 8 foot diameter drum that turned 13 revolutions per minute. Find the linear velocity of the cable.

Answers

Answer:

The linear velocity of the cable ≅ 327 feet per minute.

Step-by-step explanation:

Given that the diameter of the drum = 8 feet

Radius of the drum = [tex]\frac{diameter}{2}[/tex]

           = [tex]\frac{8}{2}[/tex]

           = 4 feet

Radius of the drum = 4 feet

1 revolution = circumference of the drum

circumference of the drum = 2[tex]\pi[/tex]r

where r is the radius.

So that;

circumference of the drum = 2 x [tex]\frac{22}{7}[/tex] x 4

                                             = [tex]\frac{176}{7}[/tex]

                                            = 25.143

circumference of the drum = 25.143 feet

The linear velocity of the cable = (13 x 25.143) feet per minute

                               = 326.859 feet per minute

The linear velocity of the cable ≅ 327 feet per minute.

A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?

Answers

Answer:

26.4%

Step-by-step explanation:

PLS GIVE BRAINLIEST

The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.

The probability of selecting a black pair of socks first is:

probability = (number of black pairs)/(total number of pairs)

= 8/17

Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.

The probability of selecting a blue or white pair of socks second is:

probability = (number of blue and white pairs)/(number of remaining pairs)

= 9/16

Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:

probability = (8/17)*(9/16)

= 27/136

To learn more about probability here:

https://brainly.com/question/32117953

#SPJ2

After John worked at a job for 10 years, his salary doubled. If he started at $x, hls salary after 10 years is​

Answers

Answer:

$2x

Step-by-step explanation:

x × 2 = 2x

I hope this helps!

A movie theater sold 1,096 tickets on Friday. On Saturday, it sold 4 times as many tickets as on Friday. How many tickets did the movie theater sell on Saturday? A. 4,096 B. 4,364 C. 4,384 D. 4,416

Answers

Answer:C.4,384

Step-by-step explanation:

1,096 × 4 = 4,384

This is why the answer is C.4,384.

I need help please Will mark brainliest. Thank you

Answers

I believe this means y=13

Write an equation for the line through the points (7, 2) and (10,6) in point-slope form.

Answers

Answer:

Your answer is y-2=4/3(x-7)

Step-by-step explanation:

Answer:

y-2=4/3(x-7)

Step-by-step explanation:

PLEASE HELPPP MEEEEE

Answers

Step-by-step explanation:

iikkkkkooooinnjjjrtreuuh
helppppppopooppopppppp

HELP PLEASE:
What is the point-slope form of the line with slope 25 that passes through the point (−4, −7)?
y−7=2/5(x−4)
y+7=2/5(x+4)
y+4=2/5(x+7) ​
y−4=2/5(x−7)

Answers

Answer:

y + 7 = 2/5 (x + 4)

Step-by-step explanation:

(I hope 25 is 2/5)

The formula is y - y1 = m (x - x1), so you put the variables in to y1 and x1 plus add the slope in as m, and there you are! Point slope form. (you also have to flip the signs when putting them in, causing -4 and -7 to become 4 and 7)

Hope this helps!

One cold night the temperature was 0 degrees at 8 p.m. The temperature dropped at a constant rate from 8 p.m. to midnight. At midnight the temperature was −16.8 degrees. What was the temperature at 9 p.m.? Enter your answer in the box. degrees


PLZ HELP!!!! 50 POINTS !!!!

Answers

Answer:

Step-by-step explanation:

the rate is -4.2, so after an hour the temperature would be -4.2 degrees

A park shaped like a rectangle. The diagram shows the how the park is split into a sports field and a playground. Let x represent the length in meters of the sports field. Write an expression to represent the area of the park as the sum of the areas of the sports field and the playground.

Answers

20x+310
310 Is the length times width of the playground and 20x is letting x represent the length of the sports field.

Answer:

20x + 310

Step-by-step explanation:

step 2 is 20(x + 15.5)

answerrrrrrrrrrrrrrrrrrrrrrrrr

Answers

Depends on the amount of cups in the recipe to start with, let’s say it starts with a 1 c recipe, for a 4 c you would need 1 c of lemon juice. So it’s probably.....

1 c of lemon juice

Find the mean for the scores 3860,5300,8560,4,200,5360

Answers

Answer:

The mean is 5444

Step-by-step explanation:

Hope this helps!

Answer:

add and divide for the mean

Step-by-step explanation:

3860 + 5300 + 8560 + 4200 + 5360 = 27280

27280 ÷ 5 = 5456

Also, I have inserted a rhythm that helps you remember the mean, median, mode and range.  

Hope this helps, stay safe, take care, keep smiling and always be happy. I believe in you my friend!! (if this is wrong please tell my and I will improve my answer!)

URGENT. Find f(3) if
f(x)=x^3 + 2x^2-x-1

Answers

Answer:

41

Step-by-step explanation:

Jus replace x with 3 and put it in a calculator.

The answer is 41 because x = 3

IQ scores (as measured by the Stanford-Binet intelligence test) in a certain country are normally distributed with a mean of 95 and a standard deviation of 18. Find the approximate number of people in the country (assuming a total population of 323,000,000) with an IQ higher than 126. (Round your answer to the nearest hundred thousand.)

Answers

Answer:

13,797,339 people

Step-by-step explanation:

Given that μ = 95 and σ = 18

The total number of population is N = 323,000,000

Now, we calculate the probability that IQ is higher than 126

P(X>126) = 1 - P[Z ≤ 126 - 95 / 18]

P(X>126) = 1 - P[Z ≤ 1.72]

P(X>126) = 1 - [ NORMSDIST(1.72)] Using MS Excel

P(X>126) = 1 - 0.957283779

P(X>126) = 0.042716221

Hence, the required probability is 0.042716221

Now, we calculate the approximate number of people in the county with an IQ higher than 126

Number of people = P(X>128) * N

Number of people = 0.042716221 * 323,000,000

Number of people = 13797339.383

Number of people = 13,797,339

Therefore, the approximate number of people in the country with an IQ higher than 126 is 13,797,339 in population

There are 13800000 people in the country with an IQ higher than 126

The z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 95, σ = 18;

For x > 126:

[tex]z=\frac{126-95}{18} =1.72[/tex]

From the normal distribution table, P(z > 1.72) = 1 - P(z < 1.72) = 1 - 0.9573 = 0.0427

For a total population of 323,000,000:

Number of people in the country =  0.0427 * 323,000,000 = 13800000

Hence there are 13800000 people in the country with an IQ higher than 126

Find out more at: https://brainly.com/question/15016913

True or false:
FGH is a right triangle​

Answers

Answer:

False

Step-by-step explanation:

Suppose |FG| is hypotenuse

the sum of square length of side legs must be equal to square of hypotenuse

(√63)^2 + 6^2 = 10^2

63 + 36 = 100

99 is not equal to 100 therefore the given triangle is not a right triangle.

For 1-4 which congruence postulate or theorem could be used to prove that the triangles are congruent

Answers

Answer:

Theorem 4.6 Angle-Angle-Side (AAS) Congruence Theorem: If two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of a second triangle, then the two triangles are congruent.

Step-by-step explanation:

Given the rotation in the image below, solve for the values of x and y,

HELPPPP

Answers

Answer:

x = 5

y = 4

Step-by-step explanation:

Since, rotation of a figure is a rigid transformation.

In a rigid transformation shape and size of the figure remains unchanged, that means image and pre-image are always congruent.

By the property of congruent triangles,

x = 5

3y = x + 7

3y = 5 + 7

3y = 12

y = 4

1.The area of the KM 89 Farm in San Vicente is (x²+7x +12) sq meters. If its width is (x + 3) meters, what is the length of the farm?

2. A box has a volume of (x³ + 12x²+ 47x + 60) cu. cm. If it is (x + 3) cm high, what is the product its width and length?

3. The base of a parallelogram is(f-2) cm. If its area is (f³-8) cm², find an expression for the height of the parallelogram.4. Any wants to paint the wall of his room for renovation. If the area of the wall is (3x³- 4x² + 2x + 4) m² and a paint can cover (x²- 2x + 2) m², how many cans of paint will he use to paint the whole wall?

5. A rectangular garden in a backyard has an area of (x² + 5x - 6) square meters. Its width is (x + 2) meters. What is the length of the garden?

I need the solution with the answer thank youuu

Answers

Step-by-step explanation:

1. A = lw

l = A/wl = (x²+7x +12) / (x + 3) = (x + 4)(x + 3)/(x + 3) = x + 4 m

2. V = lwh

lw = V/hlw = (x³ + 12x²+ 47x + 60) / (x + 3) = (x³+ 3x² + 9x² + 27x + 20 x + 60) /(x + 3) = (x + 3)(x² + 9x + 20) / (x + 3) = x² + 9x + 20 cm²

3. A = bh

h = A/bh = (f³-8) / (f-2) =(f - 2)(f² + 2f + 4)/(f-2) =f² + 2f + 4 cm

4. A = p*c

c = A/pc =  (3x³- 4x² + 2x + 4) / (x²- 2x + 2) =(3x³ - 6x² + 6x + 2x² - 4x + 4) /(x² - 2x + 2) =(x² - 2x + 2) (3x + 2) / (x² - 2x + 2) =3x + 2 cans

5. A = lw

l = A/wl = (x² + 5x - 6)/(x + 2) =(x - 1)(x + 6)/(x + 2) m

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