What are the coordinates of the point in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6?

Answers

Answer 1

Answer:

The coordinates of the point P  in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:

(x, y) = (-1, -7)

Step-by-step explanation:

Let P be the point.

As the point P is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6

i.e.

(x₁, y₁) = (-2,-8)

(x₂, y₂) = (5,-1)

Rise = y₂ - y₁ = -1 - (-8) = -1 + 8 = 7

Run = x₂ - x₁ = 5 - (-2) = 5 + 2 = 7

1 : 6 ratio means the point P lies at

[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]

Thus,

rise for P = 7 × 14% = 1

run for P =  7 × 14% = 1

Thus, coordinates of P will be:

x = -2 + 1 = -1

y = -8 + 1 = -7

Thus,

The coordinates of the point P  in the directed line segment from (-2,-8) to (5,-1) that partitions the segment into the ratio of 1 to 6 will be:

(x, y) = (-1, -7)

Related Questions

Find the measure of the missing angle.
56

Answers

Answer:

34 degrees

Step-by-step explanation:

angles on a straight line add up to 180 degrees so over here the middle angle as we can see is 90 degrees so we add that to the 56 degrees. From adding them we get 146. 180 -146 is 34 degrees and that is our answer. :)

44 because the line is 180 so 180=56+90(for the right angle)+a when you do the Matt a is 44

change 4x - 5y = 10 into slope intercept form and graph

Answers

Answer:

Slope intercept form: y = 4/5x - 2

Step-by-step explanation:

(subtract 4x from both sides) -5y = -4x + 10

(divide everything by -5) y = 4/5x - 2

To graph, place a point at (0,-2), and then travel up 4 and over right 5 (or down 4 and to the left 5) to place the next point, then draw a line through the points

4. if f (x) = 2x2 – 32, what is the value of f (5)?

Answers

Step-by-step explanation:

f(x)=2×2-32

f(5)=252-32

f(5)=220

(2,8) and (1,3)
What is the equation of the line

Answers

Answer:

y=5x-2

Step-by-step explanation:

Which of the following numbers is to the right of 6 on a number line? Select all the apply

Answers

Answer:

[tex]\sqrt{47}[/tex] [tex]\sqrt{91}[/tex]

Step-by-step explanation:

The first two are too small to be greater than 6 so those are out.

Any answer with a negative is before 0, so you could rule those out

You are now left with sqrt(47) and sqrt(91)

Please help I’m failing math and I might get held back

Answers

Answer:

[tex]tan 56 = \frac{26}{x}[/tex]

Step-by-step explanation:

[tex]tangent = \frac{opposite}{adjacent}[/tex]

Side z is the hypotenuse, since it is opposite the right angle.

Side x is the adjacent, since it is next to the angle you are solving for.

The side measuring 26 is the opposite, since it is opposite the angle you are solving for.

Mai gave half of her brownies, and then half a brownie more, to Kiran. Then she gave half of what was left,
and half a brownie more, to Tyler. That left her with one remaining brownie.

Can someone please help me with this problem, I really need help.

Answers

Answer:

x = 7

Step-by-step explanation:

all we know is that she had 1 brownie at the end, in the end she gave half her brownie to tyler, so add one who will get 1 1/2, before that she split her brownies between her friends, so multiply 1 1/2 by 2 and you will get 3, before that she gave 1/2 a brownie to Kiran, so we would add 1/2 to 3 and get 3 1/2, before that she first split it in half for a her friends, so at last,  multiply 3 1/2 by 2 and you will geet 7 as your final answer.

The answer would be 7!

 

You would take 1 and add 1/2 to it

= 1 1/2

Then, multiply by 2

= 3

Then add 1/2 to that

= 3 1/2

Then multiply 2 one more time

= 7

This is because Mai gave half of her brownie and then half more of her brownie to each person she gave it to

So you would add 1 + 1/2 and then multiply by 2

Since she did this to 2 people you would repeat one more time!

Hope this helped!

 

2(x + 5) = 30 what does x equal?​

Answers

Answer:

x = 10

Step-by-step explanation:

(2x10) + (2x5) = 30

Answer:

10

Step-by-step explanation:

2(x+5)=30

30÷2=15

15-5=10

x=10

Two planes travel at a constant speed. Plane A travels 2,800 miles in 5 hours. Plane B travels 3,885 miles in 7 hours.

1. Which plane is faster?

Answers

Answer: First.

Step-by-step explanation:

Let's find the speed of the first airplane:

2800 ÷ 5 = 560 (miles per hour)

Let's find the speed of the second plane:

3885 ÷ 7 = 555 (miles per hour)

Thus, the first plane flies faster than the second.

The first plane is faster.


The first plane travels at 560 miles per hour. The comparisons are 2 hours apart. Add 560 2 times to 2800 and you get 3,920 which is greater than 3,885, the original number of MPH for the second plane.


Meaning the first plane is faster.

one step equations word problems. I ONLY NEED 3-8!!!!

Answers

3: 18
4: 17
5: 561
6: 17
7: 23
:)

Mark's dad is three times older than Mark. Mark's sister is 2 years younger than Mark. (3m) The sum of their ages is 48. How old are Mark, his sister, and his dad?

Answers

Answer:

Age of Mark [tex]=10[/tex] years

Age of Mark's dad [tex]=30[/tex] years

Age of Mark's sister [tex]=8[/tex] years

Step-by-step explanation:

Let age of Mark be [tex]x[/tex] years.

Mark's dad is three times older than Mark

Age of her Mark's dad [tex]=3x[/tex]

Mark's sister is 2 years younger than Mark

Age of Mark's sister [tex]=(x-2)[/tex] years

The sum of their ages is 48.

[tex]x+3x+x-2=48\\5x-2=48\\5x=50\\x=10[/tex]

Age of Mark [tex]=x=10[/tex] years

Age of Mark's dad [tex]=3x=3(10)=30[/tex] years

Age of Mark's sister [tex]=x-2=10-2=8[/tex] years

Use the formula C= dxd
Pix diameter = Circumference
A group of students stood in a circle to play a game. The circle had a diameter of 22 meters.
Which measurement is closest to the circumference of the circle in meters?
A 34.54 m
B 1,519.76 m
C 379.94 m
D 69.08 m

Answers

Answer:

69.08m

Step-by-step explanation:

Circumference of a circle = πd where

d is the diameter of the circle

Given

diameter = 22metres

circumference of the circle = 3.14(22)

circumference of the circle  = 69.08m

Hence the circumference of the circle is 69.08m

Answer:

d i think sorry if im wronge

Step-by-step explanation:

Find a cubic function with the given zeros.
3, -4, 7 (5 points)

f(x) = x3 - 6x2 - 19x + 84
f(x) = x3 - 6x2 - 19x - 84
f(x) = x3 + 6x2 - 19x + 84
f(x) = x3 - 6x2 + 19x + 84

Answers

Step-by-step explanation: its a+b which equals 182

If x = 0, then tan-Ir is

Answers

Answer:

If x<0 then tan-1(1x) equals. check-circle. Answer. Step by step solution by experts to help you in doubt clearance & scoring excellent

PLEASE HELP WILL MARK BRAINLIEST PLZ PLZ PLEASE!!

Answers

Answer:

1) C

2) B

3) A,B, and C

4) C

5) B

6) C

Step-by-step explanation:

Answer:

1. C

2. B

3. A, B, C

4. C

5. B

6. C

Step-by-step explanation:

1. You can remember the name by just looking at their positions- they alternate and they're on the exterior

2. They are supplementary meaning they add to 180°, set the angle measures up to 180 and solve for x!

76 + 2x = 180

2x = 104

x = 52

3. Equilateral trinagles have these qualities

4. Those hashes on the sides of the triangles signify those sides are the same length- that means the angles opposite of those sides share the same angle measure. If you know two angles are 35, and the last angle is 2x, you can set up an equation:

35 + 35+ 2x = 180

70 + 2x = 180

2x = 110

x = 55

5. That square means a right angle which equals  90°, like question 4, you set up an equation!

90 + 5x + 5x = 180

90 + 10x = 180

10x = 90

x = 9

6. Set up a proportion.

12 : 30 // 12(x) = 30, x = 2.5

8 : y // 8(2.5) = y, y = 20

Kahleela starts the engine on her small private airplane. The engine drives a propeller with a radius of 8.5 feet and its centerline 11.5 feet above the ground. At idle, the propeller rotates at a constant speed of approximately 800 revolutions per minute. The height of one propeller tip as a function of time is given by h = 11.5 + 8.5 sin(800t), where h is the height in feet and t is the time in minutes. Find h when t = 5.5 minutes.

Answers

Answer:

a=21.1

Step-by-step explanation:

You can use the given (incorrect) equation and fill in the value of t to find h:

 h = 12.5 +9sin(750(3.5)) = 3.68 . . . . feet

__

Or, you can use the correct equation, or just your knowledge of revolutions:

 h = 12.5 +9sin(750(2π·3.5)) = 12.5 . . . . feet

in 3.5 minutes at 750 revolutions per minute, the propeller makes 2625 full revolutions, so is back where it started — at 12.5 feet above the ground.

Answer:

A. 3.1 feet is the answer i believe.........

Step-by-step explanation:

everyone if you can help that would be great

Answers

Answer:

the answer is 2.87

Step-by-step explanation:

use the pythagorean theorem

2^2+b^2=4^2

that goes to b= 3.5

for the triangle with x you also need to use the pythagorean theorem

[tex]2^{2}[/tex]+[tex]x^{2}[/tex]=[tex]3.5^{2}[/tex]

4+[tex]x^{2}[/tex]=12.25

subtract 4 on both sides

[tex]x^{2}[/tex]=8.25

[tex]\sqrt{x}[/tex]=[tex]\sqrt{8.25}[/tex]

x=2.87

Com oordon
9)
Consider the sequence of steps to solve the equation: 2(x – 4) + 6x = 9x – 10
Given = 2(x - 4) + 6x = 9x - 10
Step 1 = 2x - 8 + 6x = 9x - 10
Step 2 = 2x + 6x - 8 = 9x - 10
Step 3 = 8x - 8 = 9x - 10
Step 4 = 8x – 8x - 8 = 9x - 8x - 10
Step 5 = 0 - 8 = x - 10
Step 6 = -8 = x - 10
Step 7 = -8 + 10 = x - 10 + 10
Step 8 = 2 = x + 0
Step 9 = 2 = x
Which step in solving this equation is justified by the distributive property

Answers

Answer:

Step 1

Step-by-step explanation:

The problem distributed 2 into x and -4 which resulted in 2x - 8

convert the fraction 4/11 to a decimal using long division​

Answers

Answer:

Step-by-step explanation:

Answer:

0.36

Step-by-step explanation:

I used the long division method.

Hope this helps:)

Help me on this pleaseee

Answers

The answer would be B

How many yards are in 126 feet?



1 yard = 3 feet

Answers

Answer: I believe it 164

what is the answer to this question

Answers

Answer:

the height is 4

Step-by-step explanation:

it is a right triangle and also a perfect 3-4-5 right triangle

[tex] {3}^{2} + {h}^{2} \: equals \: {5}^{2} [/tex]

[tex]9 + {h}^{2} \: eqauls \: 25[/tex]

subtract 9 from 25

[tex] {h}^{2} \: equals \: 16[/tex]

then you square root 16

[tex] \sqrt{16} [/tex]

and now you height is 4

IM EAT SOMETHING
Try to guess what im eating (you have 3 tries)
sour but a little sweet
DARK red
LOTS of seed
wish you luck

Answers

Answer:

Raspberry?

Step-by-step explanation:

Did I get it???

Hope you have a great day! :)

I think the answer is a pomegranate...

simplfy
(9b + 5) + (3b – 6)

Answers

Your answer is 6b - 1

Pls helpppp I need the answer asap

Answers

Answer:

CASH = 7284

Step-by-step explanation:

MATHEMATICS = 12345123678

CASH = ?

Find what number the letters represent:

M = 1

A = 2

T = 3

H = 4

E = 5

I = 6

C = 7

S = 8

Then, replace the numbers in the word CASH:

C = 7

A = 2

S = 8

H = 4

Therefore, the number is 7284.

Hope this helps and please mark Brainliest :)

What kind of sequence is this? –41, –51, –61, –71

Answers

Answer:

Arithmetic

Step-by-step explanation:

Given this expression:
[tex]8 {x}^{3} + 16 {x}^{2} - 4x + 25[/tex]
what is the coefficient with the
[tex] {x}^{2} [/tex]
term.​

Answers

Answer:

the coefficient of x^2 is 16

Step-by-step explanation:

is the number in front of the variable and exponent

Help me please...........

Answers

Answer:

6/19

Step-by-step explanation:

Answer:

6/19 subtracting 3 each time form the numerator

Step-by-step explanation:

solve the derivative of f(x)= x^4e^tanx

Answers

Answer:

Step-by-step explanation:

please help, and i will mark you BRAINLIEST
Solve:
A. 27
B. 343
C. 729
D. 216

Answers

Answer:

729

Step-by-step explanation:

9 x 9 = 81

81 x 9 = 729

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