The line segment joining the points ( 3,-4) and (1,2) is trisected at the points P and Q . If the coordinates of P and Q are (p , -2 ) and ( 5/3 , q ) respectively, find the values of p and q.

Answers

Answer 1

Answer:

P = 7/3 and q = 0

Step-by-step explanation:

The given parameters are;

The endpoints of the segment are, (3, -4) and (1, 2)

The points that trisect the given points are P and Q with coordinates (p, -2) and (5/3, q) respectively

Therefore, we have;

The first point of the trisection cuts 1/3 of the length from one point and the second point of the trisection cuts 2/3 of the length from the same point

The coordinates of P or Q = (3 - (3 - 1)/3, -4 - (-4 - 2)/3) = (7/3 , -2)

Therefore, given that the y-coordinate value of the derived point coincides with the y-coordinate value of the point P, (p, -2) and there is only one point with x = -2 on the line, we have that the coordinate of the point P is (p, -2) = (7/3 , -2)

∴ P = 7/3

Similarly we have the second point of the trisection, Q, given as follows;

We are already given the x-coordinate value of the point Q as the 5/3 in (5/3, q)

Point Q = (5/3, q) = (3 - 2×(3 - 1)/3, -4 - 2×(-4 - 2)/3) = (5/3 , 0)

Point Q = (5/3, q) = (5/3 , 0)

∴ q = 0.


Related Questions

* Ms. Quintero has visited 16 of the 50 states. What percent of the states has she visited? KEY Part (is) Whole(of) % 100 Whole

A.25%
B.32%
C.16%
D.8%​

Answers

Answer:

B. 32%

Step-by-step explanation:

16/50 = 32% lol

goodluck!

The notebook shows the money Lisa earned and spent on her first day selling kale at the
Farmers' Market. A positive number represents money earned. A negative number represents
money spent. Lisa wants to find her profit for the first day.

Answers

Answer:

Step-by-step explanation:

7 + (-5)= 2


please help. its on ratio.​

Answers

Answer:

2/14, 1/7, 3/21, and 18/126

Step-by-step explanation:

Evaluate the expression shown below and write your answer as a fraction in simplest form.
3
4
+
1
6
4
3

+
6
1

plss help

Answers

Answer:

Step-by-step explanation:

the answer would be 11/12

Two parallel lines are crossed by a traversal. What is the value of y?

Answers

Answer:

y = 50 is answers and it is alternate angle

Answer:

B

Step-by-step explanation:

The two angles are the same

the length of a rectangle is 8 units greater than its width . find the dimensions when its area is 105 square units.

Answers

I hope this helps ;)

What does W equal? I’m lost

Answers

Answer:

it looks like it would be 69% like the one below it

Step-by-step explanation:

Solve for g in the proportion
g 15
4 6​

Answers

Answer:

g times 15 if it's a algebraic question

g=6

Refer to the explanation for the process.

Explanation:

Solve:

9 g=15 10

Cross multiply each denominator by the opposite numerator.

9×10=15×g

Simplify.

90=15g

Divide both sides by 15

90 15=g

Simplify.

6=g

Switch sides.

g=6

Hope this helps!

PLEASE HELP ASAP 20 POINTS WILL GIVE BRAINLIEST

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Wind farms are a source of renewable energy found around the world. The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v (in meters per second). If a turbine generates 500 kW in a 10 m/s wind, how much power does it generate in a 12 m/s
wind?

Answers

Answer: P = 0.5 *(12)^3 = 864 kW

Step-by-step explanation:

We calculate the power as follows:

P=C*v^3,

where C = constant and v is the velocity,

lets find the C first, from the given conditions

P = C*v^3

500= C(10)^3

C=500/(10)^3 = 0.5

If a turbine generates 500 kW in a 10 m/s wind, then 864 KW power does it generate in a 12 m/s wind

What is Power?

Power is the amount of energy transferred or converted per unit time.

Given,

The power P (in kilowatts) generated by a wind turbine varies directly as the cube of the wind speed v

P = kv³

Where k is the proportionality constant.

If a turbine generates 500kW in a 10m/s wind, we need to find how much power does it generate in 12m/s wind

first solve the proportionality constant k

500 = k (10³)

k = 500 / 10³= 0.5

so when v = 12 m/s

P = 0.5(12³)

p = 864 kW

Hence 864 kW  is the power generated by a 12 m/s wind.

To learn more on Power click:

https://brainly.com/question/2409175

#SPJ2

Find the total surface area of the
following square pyramid:
9 cm
10 cm
SA = [?]cm2

Answers

Answer:

280 cm2

Step-by-step explanation:

1)find the area of square

A=LW

=10×10

=100

2) find the area of triangle

A=B×H÷2

=10×9/2

=45

Coz,there are 4 triangle we multiple by 4

=45×4

=180

3)find the total surface area by adding the two

=100+180

=280cm2

Answer:

SA = [280] cm 2

Step-by-step explanation:

For Lateral Area the formula is 4(1/2 10 x 9)

But the 1/2 makes it 4(1/2 5 x 9)

Then you multiply 5 x 9 = 45 then multiply 45 by the 4 and get 180

Then for Surface Area you put in (180 + 100) = 280

You get the 100 by multiplying 2 of the base numbers together.

In each table, y and x are in a proportional relationship.
Select the table with a constant of proportionality of –3.
A. 'x' is 1 2 3. 'y' is -3,-6,-9
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

Answers

The table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

where,

k = constant of proportionality

A. 'x' is 1 2 3. 'y' is -3,-6,-9

y = k × x

-3 = k × 1

- 3 = k

k = -3

B. 'x' is 1, 2, 3. 'y' is -1, -2, 0

y = k × x

-1 = k × 1

-1 = k

k = -1

C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

y = k × x

-3 = k × 1

-3 = k

k = -3

D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

y = k × x

-3 = k × 1

-3 = k

k = -3

or

y = k × x

-3/2 = k × 2

-3/ 2 = 2k

k = -3/2 ÷ 2

k = -3/2 × 1/2

k = -3

Therefore, the table with a constant of proportionality of –3 are

A. 'x' is 1 2 3. 'y' is -3,-6,-9

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3

A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1

Read more:

https://brainly.com/question/13441754

5 2/5 as a decimal number

Answers

Answer:

27/5 = 5,4

Step-by-step explanation:

5 2/5 = 27/5 = 5,4

Can someone help me please​

Answers

1. 96%
2. 57.142858%
3. 83.333333333333%

1+1+2+3+4 is what
it says it needs to be 20 characters long

Answers

Answer:

11

Step-by-step explanation:

how do you know how to read yet not know this

Bella wants to save for a vacation in three years and this vacation costs $2300. She deposits $2000 into a bank earning 5% interest compounded monthly. How much money does Bella have after 3 years?

Answers

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

point slope line equation of the line through (8,-8) and (9,8)

Answers

Answer:

y+8=16(x-8)

Step-by-step explanation:

y-y1=m(x-x1) is the formula

Just substitute from the first pair then you should get the answer.

Find the balance in the account.
$3,800 principal earning 2%, compounded annually, after 7 years

Answers

Answer:

A = $4360.515918 which rounded to the nearest penny is $4360.52

Step-by-step explanation:

i’m trying one last time
Write an equation in standard form of the line that passes through the following
points, where a ≠0 and b ≠0.

Answers

Answer:

The equation =3 is equivalent to = 0 +3. From this form, we know the line has slope =0.

Step-by-step explanation:

Answer:

ax + by = c

Step-by-step explanation:

The standard form of the line is

ax + by = c; where a, b and c are numbers

Also a and b are coefficients are not zero so there are x and y terms.


[tex] |15 - 4| [/tex]
PLEASEEEEE HELPPP ​

Answers

Answer:

11

Step-by-step explanation:

15-4=11

|11|=11

Remember that the lines mean absolute value, so whatever the answer is, it will be positive.

15-4=11 therefore, the absolute value pf this is 11.

Can anyone do it I'll give you brainiest

Answers

Answer:

64°

Step-by-step explanation:

? + 86 + 90 + 84 + 36 = 360

? = 360 - 86 - 90 - 84 - 36

? = 64

therefore, the missing angle = 64°

Find the hypotenuse
84 + 36 + x = 180
x = 60
80 + 60 + x = 180
x = 40
The value of ? Is 40

1/5+x+2/3=1 PLEASE HELP

Answers

Answer:

x=2/15

Step-by-step explanation:

1/5+x+2/3=1

3/15+x+10/15=15/15

13/15+x=15/15

x=2/15

Answer:

the answer to your question

Three computers just scanned for viruses at the same time. Computer A runs a virus scan every 10 days. Computer B runs a virus scan every 12 days, and Computer C runs a virus scan every 16 days. How long will it be until all the computers run a virus scan at the same time again?

Answers

Answer: 240 days.

Step-by-step explanation:

The number of days that it'll will be until all the computers run a virus scan at the same time again will be calculated by solving for the lowest common multiples of the numbers. This will be:

Multiples of 10 = 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240.

Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144, 156, 168, 180, 192, 204, 216, 228, 240

Multiples of 16 = 16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240

Here, we can see that the least common multiple is 240. Therefore, all the computers will scan at the same time in 240 days.

Using rational coefficients, find the factors of a polynomial function that has the following roots. ****Select all that apply**** 3 8i and 7 - square root of 5

the choices are
(x+3)
(x-3)
(x^2-9)
(x-8i)
(x^2+64)
(x-7-square root of 5)
(x^2-14x+44)
and (x^2-14x+54

Answers

Answer:

Options 2, 3, 4, 5, 7

Step-by-step explanation:

Given roots:

3, 8i and 7 - √5

Polynomial with same roots will have factors of:

(x - 3), (x - 8i) and (x - (7-√5))

So correct choices are:

(x - 3)(x^2-9), has a factor of (x - 3)(x - 8i)(x^2+64), has a factor of (x - 8i)(x^2-14x+44), has a factor of (x - 7 + √5)

No rush on this one:)

The price of a shirt decreases by 13$. Which integer represents the decrease in the shirt’s price?

Answers

Answer:

-13

Step-by-step explanation:

-13 since it's going down in price

Of the 25 fish that Karl caught
from the lake, 7 were trout. The
estimated population of the lake is
6,500 fish. About how many trout
would
you expect to be in the lake?

Answers

Answer:

1,820 trout

Step-by-step explanation:

Set up a proportion where x is the number of trout in the lake:

[tex]\frac{7}{25}[/tex] = [tex]\frac{x}{6,500}[/tex]

Cross multiply and solve for x:

25x = 45,500

x = 1820

So, you could expect 1,820 trout to be in the lake.

Which number best represents the slope of the graphed line?

Answers

Answer:

-1/3

Step-by-step explanation:

because i aint never seen two pretty best friends, its always one of em gotta be ugly

#2: Solve the linear system below using the elimination method. Type your
answer as an ordered pair in the form (#,#). *
-3x + 5y = -32
7x – 4y = 67

Answers

Answer:

[tex](9,-1)[/tex]

Step-by-step explanation:

Follow the same guidelines from the other answer. Hope this helps!!

Question 3 of 10
What is the measure of RST?

A. 72°
B. 162°
C. 324°
D. 81°

Answers

B I’m not sure but check

Answer:

D. 81

Step-by-step explanation:

This answer was confirmed by two people in the comments.

What I did to get this answer was subtract 162 by 81 so the math that I did was to make sure I got the same number as the answers.

[tex]162-81=81[/tex] ☑

[tex]162-72=90[/tex] ☒

[tex]162-162=0[/tex] ☒

[tex]162-324=-162[/tex] ☒

So, therefore the answer is [tex]81[/tex].

I hope this helped you. :)

Given the exponential function [tex]f(x) = -2(0.8)^x[/tex], what is the value of f(x) when x =0?

Answers

Answer:  -2

Work Shown:

[tex]f(x) = -2(0.8)^x\\\\f(0) = -2(0.8)^0\\\\f(0) = -2(1)\\\\f(0) = -2\\\\[/tex]

In the third step, I used the idea that [tex]x^0 = 1[/tex] where x is any nonzero number.

4v + 4(v + 10) = -2v - 20

Answers

V =-6 bc I distribute 4 into v+10 and go 4v+10 and add the same numbers and subtract both side and add both side to get v alone and divided 10v into -60 so the answer is v=-6
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