if PQ=8 and Q lies at -13 where could P be located?

Answers

Answer 1

Answer:

In the given figure the point on segment PQ is twice as from P as from Q is. What is the point? Ans is (2,1).

Step-by-step explanation:

There is really no need to use any quadratics or roots.

( Consider the same problem on the plain number line first.  )

How do you find the number between 2 and 5 which is twice as far from 2 as from 5?

You take their difference, which is 3. Now splitting this distance by ratio 2:1 means the first distance is two thirds, the second is one third, so we get

4=2+23(5−2)

It works completely the same with geometric points (using vector operations), just linear interpolation: Call the result R, then

R=P+23(Q−P)

so in your case we get

R=(0,−1)+23(3,3)=(2,1)

Why does this work for 2D-distances as well, even if there seem to be roots involved? Because vector length behaves linearly after all! (meaning |t⋅a⃗ |=t|a⃗ | for any positive scalar t)

Edit: We'll try to divide a distance s into parts a and b such that a is twice as long as b. So it's a=2b and we get

s=a+b=2b+b=3b

⇔b=13s⇒a=23s


Related Questions

What’s yz I’ll mark Brainly

Answers

Answer:

y is a point on a grid and z is the ending letter of the alphabet

Step-by-step explanation:

Answer:

The answer is 5 because if line WY is a bisector and is a 90 degree angle, then XY and YZ are equal. Therefore YZ = 5

Which set of measurements will produce a scalene acute triangle?

Answers

PLEASE GIVE BRAINLIST

An ACUTE triangle contains three acute angles. (In other words, each angle of an acute triangle is less than 90 degrees.) A SCALENE triangle is one in which all sides have different lengths (and therefore, all angles have different measures).

HOPE THIS HELPED

Graph the given function. State the domain and range. y=-11√6-9x+1

Answers

Go to desmos then you will get your answer and makes sense graphining

Find the distance between each pair of points (8,5) ,(-1,3)

Answers

Answer:

d=9.220

Step-by-step explanation:

Answer:

sqrt(85)

Step-by-step explanation:

Use the distance formula.

d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

d = sqrt[(-1 - 8)^2 + (3 - 5)^2]

d = sqrt[(-9)^2 + (-2)^2]

d = sqrt[81 + 4]

d = sqrt(85)

Answer: sqrt(85)

HELP PLEASEEEE A dressmaker needs to cut 4-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 4-inch pieces can the dressmaker cut from 15 of these rolls of ribbon? How many inches of ribbon does the dressmaker have, in total?

Answers

1620 - written as 4•3•9•15

Answer:

1620 peices

Step-by-step explanation:

9 ft = 9 x 12 (12 inches make 1 ft) = 108 x 15 rolls = 1620 inches

1620 inches divided by 4 inches = 405 peices

:)

What is the distance between (8, -3)(8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and (4, -7)(4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis?

Answers

Answer:

The distance between both points is 4√2 units

Step-by-step explanation:

Here in this question, we want to calculate the distance between two given points.

These points are (8,-3) and (4,-7)

Mathematically, the distance between two points can be given as;

D = √(x2-x1)^2 + (y2-y1)^2

where x1 = 4, x2 = 8 , y1 = -7 and y2 = -3

Substituting these values;

D = √(8 -4)^2 + (-3-(-7)^2

D = √(4)^2 + (4)^2

D = √(16+16)

D = √(32)

D = 4√2 units

Answer:

32 Number C

Step-by-step explanation:

(x + 2)2 + (y - 3)2 = 4

Answers

Answer: x=3

Step by Step:
(x+2)2+(y-3)2=4
2x+4+(0-3)x2=4
2x+4-3x2=4
2x+4-6=0
2x=6
x=3

,mmnj3gohb4yvgbuh4rbihb3rvhbeffhobvouwebohbewovjdkcbhoebfvhubefhvbhuewfbviohbefwovbehbvhebfphbpvibepivb4uhbvuohebfvhubefubvuhrb4ibeiovbivbiohefbvihiefbvhbehbvehvbhefbvhfobvubfrfibefiuuibubvfvneubvuhefbvuhb>>>
mkmm'nmlc
sorry out of order

Answers

Answer:

jdkskdjdjfnfnekeoeodnfnfnn;#>#[<:<:÷_9:÷8÷8_:>^:#<:8÷^8<#9<^g9su9ugsvy9e9uebu93vy838y3vy038j3b7496g4b79468g4bu940bev9urbd0ubdb0iuv0d0ibdv0ud9vy3 yv83 8y38 y y88_:-;0<#9_%;3636:04:9649660:3:_939_:$<$:9<#0;#_9^#:9<

7

just seven my dude or dudett

Find the value of the following:|-15|.​

Answers

Answer:

The answer is 15 because that absolute value for anything is 15. No matter what number

Step-by-step explanation:

What is the inverse of the function f(x) = 1/9 x + 2?

h(x) = 18x - 2
h(x) = 9x - 18
h(x) = 9x + 18
h(x) = 18x + 2​

Answers

Answer: the answer is option B. or h(x) = 9x - 18

Step-by-step explanation:

Answer: h(x) = 9x - 18

Step-by-step explanation:

I just took the test and got it right

5. What is the side length of a square with
an area of 7 square units?

Answers

Answer:

3.5 units

Step-by-step explanation:

Since it's a square, all sides are the same length. To find the two side lengths used to get the area, you divide 7 by 2.

7÷2=3.5 units

The relationship between money earned and hours worked is linear joke and puetz the slope between 430 and 1290 that computes the slope between 4:30 and 10 75 how do the two slopes compare

Answers

Answer:

操你bit子Step-by-step explanation:

嗨,你好吗

nobody is helping so imma do full points.
can someone tell me the domain and range for these two graphs?

Answers

Answer: i really needed this if you look and how much points i have you might understand

UwU

Step-by-step explanation:

Who knows how to answer this. It's Dividing complex numbers.​

Answers

Answer:

answe is 1+i

mark this as brainliest!!

mark this as brainliest!!follow me!

Answer:

[tex]\large\boxed{1+i}[/tex]

Step-by-step explanation:

[tex]$\frac{4+2i }{3-i} $[/tex]

Factor the numerator

[tex]$\frac{2(2+i) }{3-i} $[/tex]

Multiply both numerator and denominator by the conjugate of the denominator.

[tex]$\frac{2(2+i) }{3-i} \cdot \frac{3+i }{3+i} = \frac{2(2+i)(3+i) }{9-i^2} $[/tex]

Once [tex]i^2=-1[/tex]

[tex]$\frac{2(2+i)(3+i) }{10} $[/tex]

Solving the numerator

[tex]2(2+i)(3+i) = 2(6+2i+3i+i^2) = 2(6+5i-1)=2(5+5i)[/tex]

[tex]$\frac{2(5+5i)}{2 \cdot 5} =\frac{5+5i}{5}=\boxed{1+i} $[/tex]

Solve the equation vf=vi+at for a

Answers

vf = vi + at
-at = vi - vf
a = (vi - vf) / -t

Can someone please help me out I need this equation to be completed 5x+5x=10x I don’t understand someone please help

Answers

Answer:no solution

Step-by-step explanation:combine like terms and then subtract 10 from the other side and it becomes no solution

(8 x 10^-3) x (2 x 10^-4)

Answers

Answer: 0.0000016

Step by step explanation:
Answer:0.000016
Explanation: (8x10^-3)=0.008
(2x10^-4)=0.0002
0.008x0.0002=0.000016

What are the points of intersection of the following functions? F(x)=3x+6 and g(x)=2x^2-3

Answers

Answer:

(3,15) and (-1.5, 1.5)

Step-by-step explanation:

If g(x) = 2x² - 3

Step by step order ....

Answers

To isolate x you would start by subtracting 1/2 from both sides and be left with 1/5x= 7/2, then you would multiply both sides by 5 to get rid of 1/5 and you would be left with x=35/2

Answer:

Step-by-step explanation:

1. Determine the LCM of the denominators LCM=10

2. Multiply each piece of the equation by the common denominator.

3. 2x + 5 = 40

4. Subtract 5 from both sides

5. 2x = 35

6. Divide both sides by 2

7. x = 35/2

Geometry Basics Test
A polygon is said to be regular if all of its sides are the same length. Find the perimeter of the regular octagon
whose vertices are as follows.
(-2,-4), (1,0), (1,5), (-2,9), (-7,9), (-10,5), (-10,0), (-7,-4)
(1 point)
| units
Basic
7
8
9

Answers

Answer:

P=40

Step-by-step explanation:

find the distance between each vertices:

between the following points to find the length of each sides, octagon has 8 sides , since it is regular pentagon the distance between each vertices =5

the length of each side of octagon=5

to check :d=√(x2-x1)²+(y2-y1)²

(-2,-4) and (1,0) , d=√[(1-(-2)]²+(0+4)² =√3²+4², d=5

(1,0) and (1,5)  , d= 5

(1,5) and (-2,9) ,  d=5

(-2,9) and (-7,9) , d=5

(-7,9) and (-10,5) , d=5

(-10,5) and(-10,0) , d=5

(-10,0) and(-7,-4), d= 5

(-7,-4) and (-2,-4), d=5

perimeter of octagon = 8a ( a is the length of the side)

p=8(5)

P=40

5x – 12 > 2x + 6 Plz help.

Answers

Answer: I HOPE IT HELPS

Step-by-step ex

=

6

Explanation:

5

x

12

=

2

x

+

6

 

First, subtract  

2

x

from both sides of the equation:

5

x

12

 

 

2

x

=

2

x

+

6

 

 

2

x

3

x

12

=

6

Now add  

12

to both sides;

3

x

12

 

+

 

12

=

6

 

+

 

12

3

x

=

18

Finally, divide both sides by  

3

:

3

x

3

=

18

3

Therefore,

x

=

6xplanation:

Answer:

×<6

Step-by-step explanation:

here's the answer, have a good day! /(^-^)/

( i just used my calculator OwO )

Peter purchases a baseball card for $150 as an investment. His research tells him that the value of
the card should double every 3 years. When will the card reach a value of $ 4000?

Answers

Answer:

6 years

Step-by-step explanation:

Given

[tex]Initial\ Investment = 150[/tex]

[tex]Ratio = double[/tex]

Required

When will it get to 4000

This question illustrates a geometric progression and will be solved using:

[tex]T_n = ar^{n-1}[/tex]

In this case;

[tex]T_n = 4000[/tex]

[tex]r = double = 2[/tex]

[tex]a = 150[/tex]

So, we're to solve for n

[tex]4000 = 150 * 2^{n - 1}[/tex]

Divide through by 150

[tex]\frac{4000}{150} = 2^{n-1}[/tex]

[tex]26.67= 2^{n-1}[/tex]

Take Log of both sides

[tex]Log26.67= Log2^{n-1}[/tex]

Apply law of logarithm

[tex]Log26.67= ({n-1})Log2[/tex]

Take Log values

[tex]1.42602301569 = (n - 1) * 0.30102999566[/tex]

Make n - 1 the subject

[tex]n - 1 = \frac{1.42602301569}{0.30102999566}[/tex]

[tex]n - 1 = 4.73714591984[/tex]

Add 2 to both sides

[tex]n = 1 + 4.73714591984[/tex]

[tex]n = 5.73714591984[/tex]

[tex]n = 6[/tex] (Approximated)

Hence, it'll take 6 years

Sam bought 3 boxes of chocolate online. Postage was $9 and the total cost was $45. How much was each box?

Answers

Answer:

12 dollars each

Step-by-step explanation:

do the math

Answer:

$1.7

Step-by-step explanation:

3 x 9 = 27

45 ÷ 27 =

about $1.7

How many solutions does the following equation have?
14x + 12] = 0

Answers

Answer:

[tex]x=-\frac{6}{7}[/tex]

It has one solution

Step-by-step explanation:

[tex]14x + 12] = 0\\\\14x+12=0\\\mathrm{Subtract\:}12\mathrm{\:from\:both\:sides}\\14x+12-12=0-12\\\\Simplify\\14x=-12\\\\\mathrm{Divide\:both\:sides\:by\:}14\\\frac{14x}{14}=\frac{-12}{14}\\\\Simplify\\x=-\frac{6}{7}[/tex]

I BET NO ONE KNOWS THIS QUESTION . After years of Civil war , columbia is a peaceful democratic nation. TRU OR FALSE

Answers

Answer:

false?

Step-by-step explanation:

first, you put this question in mathematics. columbia is a “democracy” but i would say it isn’t peaceful.

the answer would be true

All functions are relations. True False

Answers

All functions are relations, but not all relations are functions. So its true

A parasail is 3/100 mile above the water. After five minutes, the parasail is 1/50 mile above the water. Find the change in height of the parasail.

Answers

Answer:

the change in height is 1/100 mile

Step-by-step explanation:

1/50 is also equal to 2/100, and since the previous height was 3/100 then you can just subtract 2/100 from 3/100 to get 1/100

Answer:

1/100

Step-by-step explanation:

1/50 = 2/100

then:

3/100 - 2/100 = (3-2)/100

= 1/100

Find the missing number so that the equation has infinitely many solutions. -4x+20=blank x+20

Answers

Answer:

0

Step-by-step explanation:

20 cancels itself out so

-4x = x

-4x - x = 0

-5x = 0

divide both sides by -5x

x= 0 but we don't write it out

For the equation -4x+20 to have infinite solution , it should be equal to

-4x+20 = -4x+20 , so the blank value is -4

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be -4x+20 = blank x + 20

Now ,

If the lines are coincident and have the same y-intercept, an endless solution can be generated.

The two lines with the same y-intercept and slope are the same line.

If the two lines share the same line, the system will produce an infinite solution. As a result, if the system of equations contains an infinite number of solutions, the system is consistent.

So , Both the equations should be equal for it to have infinite solutions

Therefore , -4x+20 = -4x+20

Hence , the value of the blank is -4

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Which scales are equivalent to 1 inch to 1 foot?

Select all that apply.

Group of answer choices

36 to 3

100 to 0.12

9 to 108

LaTeX: \frac{1}{12} 1 12 to 1

5 to 60

1 to 12

Flag this Question

Answers

36 to 3 100 to 0.12 and 9 to 108

which following statements are true? 11.5=11.05, 17.18 2.48

Answers

Answer:

Step-by-step explanation:

11.5=11.5

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