given directed line segment ab find the coordinates of p such thats the ratio of ap to pd is 2:1

Given Directed Line Segment Ab Find The Coordinates Of P Such Thats The Ratio Of Ap To Pd Is 2:1

Answers

Answer 1

Answer:

The point P on line AB such that the ratio of AP to PB is 2:1 is P = (0, 3)

Step-by-step explanation:

The dimension of the graph can be taken as 1 box = 1 unit

Therefore;

The coordinates of the point A = (-2, -7)

The coordinates of the point B = (1, 8)

For the a point P that gives the ratio AP to PB = 2:1 is given as follows;

The fraction of AP to AB = 2/(2 + 1)×AB = 2/3 × AB

Which gives;

The coordinate of the point P = (-2 + 2/3×(1 - (-2)), -7 + 2/3×(8 - (-7)))

P = (0, 3)

Therefore;

The coordinates of P such that the ratio of AP to PB is 2:1 is P = (0, 3).


Related Questions

Please help me with math.​

Answers

Answer:

Step-by-step explanation:

1=

option b= 4

2.

option b=60miles per hour

Hope it helps

Measure of arc JKM= ???

Answers

Answer:

180°

Step-by-step explanation:

JM is the diameter of the circle with center L.

[tex] \huge \red{ \boxed{\therefore m\widehat{(JKM)} = 180\degree}} \\ [/tex]

Answer:

          measure of arc JKM = 180°

Step-by-step explanation:

JLM is diameter so  arc JKM is half of circle

measure of arc JKM = 0.5m•360° = 180°

-3n+2>-4n-3 help me solve this

Answers

Answer:

n>−5

Step-by-step explanation:

Step 1: Add 4n to both sides.

−3n+2+4n>−4n−3+4n

n+2>−3

Step 2: Subtract 2 from both sides.

n+2−2>−3−2

n>−5

HELP PLEASE
Will give brainliest

Answers

Answer:

[tex]=7x^2+8x-2[/tex]

Step-by-step explanation:

So, on Monday, Tuesday, and Wednesday, he mowed:

[tex](4x^2+3x-4),(5x-8),(3x^2+10)[/tex]

yards, respectively.

To determine how many yards he mowed in the three days, simply add the three expressions. Thus:

[tex](4x^2+3x-4)+(5x-8)+(3x^2+10)[/tex]

Combine like terms:

[tex]=(4x^2+3x^2)+(3x+5x)+(-4-8+10)[/tex]

Add or subtract:

[tex]=7x^2+8x-2[/tex]

And it cannot be simplified further :)

A square has an area of 112 cm squared what is the approximate perimeter of the square

Answers

Answer:

approximate perimeter is 42.32

Step-by-step explanation:

each side of a square is equal to each other

1. Find the square root of 112

[tex]10.58^2 = 112[/tex]

2. Multiply 10.58 by 4(number of sides)

[tex]10.58(4) = 42.32[/tex]

Is -5+(p+3) and – 5р — 15 equivalent to each other

Answers

Answer:

They are not

Step-by-step explanation:

Because p +3 is 3p and it does not add up to 15.

Solve for w: -6w + 1 = -11

Answers

Answer:

w =2

Step-by-step explanation:

[tex]-6w + 1 = -11[/tex]

Move +1 to the right side and change its sign

[tex]-6w =-11-1\\[/tex]

Simplify

[tex]-6w =-12[/tex]

Divide both sides of the equation by -6

[tex]\frac{-6w}{-6} = \frac{-12}{-6} \\\\w = 2[/tex]

Please someone help me, youvmust find the value of: ​

Answers

Answer:

1

Step-by-step explanation:

Using the sum to product formulae and the exact values

sin x + sin y = 2sin([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )

cos x + cos y = 2cos([tex]\frac{x+y}{2}[/tex] )cos([tex]\frac{x-y}{2}[/tex] )

sin45° = cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , cos30° = [tex]\frac{\sqrt{3} }{2}[/tex]

Given

[tex]\frac{sin75+sin15}{cos75+cos15}[/tex]

= [tex]\frac{2sin(\frac{75+15}{2})cos(\frac{75-15}{2}) }{2cos(\frac{75+15}{2})cos(\frac{75-15}{2}) }[/tex]

= [tex]\frac{2si45cos30}{2cos45cos30}[/tex]

= (2 × [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) ÷ (2 × [tex]\frac{1}{\sqrt{2} }[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] )

= 1

Answer:  1

Step-by-step explanation:

sin 75 = sin(30 + 45) = sin30 · cos45  + cos30 · sin45

                                 [tex]=\dfrac{1}{2}\cdot \dfrac{\sqrt2}{2}+\dfrac{\sqrt3}{2}\cdot\dfrac{\sqrt2}{2}\qquad =\dfrac{\sqrt2+\sqrt6}{4}[/tex]

sin 15 = sin(45 - 30) = sin45 · cos30  - cos45 · sin30

                                  [tex]=\dfrac{\sqrt2}{2}\cdot \dfrac{\sqrt3}{2}-\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}\qquad =\dfrac{\sqrt6+\sqrt2}{4}[/tex]

cos 75 = cos(30 + 45) = cos30 · cos45  - sin30 · sin45

                                   [tex]=\dfrac{\sqrt3}{2}\cdot \dfrac{\sqrt2}{2}-\dfrac{1}{2}\cdot\dfrac{\sqrt2}{2}\qquad =\dfrac{\sqrt6-\sqrt2}{4}[/tex]

cos 15 = cos(45 - 30) = cos45 · cos30  + sin45 · sin30

                                   [tex]=\dfrac{\sqrt2}{2}\cdot \dfrac{\sqrt3}{2}+\dfrac{\sqrt2}{2}\cdot\dfrac{1}{2}\qquad =\dfrac{\sqrt6+\sqrt2}{4}[/tex]

       [tex]\dfrac{\sin 75+\sin 15}{\cos 75+\cos 15}[/tex]

   [tex]=\dfrac{\frac{\sqrt2+\sqrt6}{4}+\frac{\sqrt6-\sqrt2}{4}}{\frac{\sqrt6-\sqrt2}{4}+\frac{\sqrt6+\sqrt2}{4}}\\\\\\=\dfrac{\frac{\sqrt6}{2}}{\frac{\sqrt6}{2}}\\\\\\=1[/tex]

26/90 = n/360
What is N?

Answers

Answer:104

Step-by-step explanation:

Answer:

n = 104

Step-by-step explanation:

26/90 = n/360

Using cross products

26 * 360 = 90 (n)

Divide each side by 90

26 * 360/90 = 90 (n)/90

104 = N

Apply each transformation described to Figure A. If you get stuck, try using tracing paper. A figure A with a point P, a line l and a point P prime on a triangular grid. A translation which takes LaTeX: PP to LaTeX: P'P ′ A counterclockwise rotation of A, using center LaTeX: PP, of 60 degrees A reflection of A across line LaTeX: \ellℓ HTML EditorKeyboard Shortcuts

Answers

Answer:

p

Step-by-step explanation:

9/5 - 4/3 =

A. 1/3

B. 8/15

C. 7/15

D. 1 1/15

Answers

Answer:

[tex] \frac{7}{15} [/tex]

Step-by-step explanation:

[tex] \frac{9}{5} - \frac{4}{3} = \frac{27 - 20}{15} = \frac{7}{15} [/tex]

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{7}{15} }}}}}[/tex]

Option C is the correct option

Step-by-step explanation:

[tex] \sf{ \frac{9}{5} - \frac{4}{3} }[/tex]

Take the L.C.M ( Lowest Common Multiple ) of 5 and 3.

L.C.M of 5 and 3 = 15

⇒[tex] \sf{ \frac{9 \times 3 - 4 \times 5}{15} }[/tex]

Multiply the numbers

⇒[tex] \sf{ \frac{27 - 20}{15} }[/tex]

Subtract 20 from 27

⇒[tex] \sf{ \frac{7}{15} }[/tex]

Hope I helped!

Best regards! :D

If segment AB is 4 units, segment AD is 23 units, and segment CD is 12 units, what is the length of segment BC?
23
A
9 units
B.
6 units
C
7 units
D
8 units

Answers

Answer:

C . 7 units

Step-by-step explanation:

The question is lacking appropriate diagram. Find the diagram to the question attached.

From the diagram, it can be seen that AD = AB+BC+CD

Given the following

AD = 23units

AB = 4units

CD = 12units

To get C=BC, we will substitute the given segments into the expression above as shown;

23 = 4+BC+12

23 = BC + 4 + 12

23 = BC+16

Subtract 16 from both sides

23-16 = BC+16-16

7 = BC

Hence the length of segment BC is 7units.

Please help me!! I can't do this...

Answers

Answer:

focus and belive on your self

Step-by-step explanation:

2x3 + x2 + 7x - 6)-(- 2x + 10x + 10x+9)​

Answers

Answer:

2x³ + x² - 11x - 15

Step-by-step explanation:

Step 1: Write out expression

2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)

Step 2: Distribute negative

2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9

Step 3: Combine like terms (x)

2x³ + x² + 9x - 10x - 10x - 9 - 6

2x³ + x² - x - 10x - 9 - 6

2x³ + x² - 11x - 9 - 6

Step 4: Combine like terms (constants)

2x³ + x² - 11x - 15

Answer:

Im here can u do it now?

Step-by-step explanation:

So I have 5 cats and eat 2819 how many do I have left

Answers

Answer:

-2814

Step-by-step explanation:

5 cats, u eat 2819 of them, that means u have negative 2819

the answer is negative 2814 “-2814” hope this helped!!

Find the solutions to the equation below.
Check all that apply.
6x2 + 5x - 4 = 0
A. X=
-IN
B. X=
C. x =
1 D. x = -2
E. x=-5
F. X= 4

Answers

Answer:

X=1/2. X=4/3

Step-by-step explanation:

6x2+5X-4=0

6X2+8X-3X-4=0

2x(3x+4) - 1(3x+4)=0

2x-1) (3X-4)

X=1/2. X=4/3

The Solution of Equation is x = -4/3 or x= 2.

What is 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. LHS = RHS is a common mathematical formula.

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.

We have the Equation:

6x² + 5x - 4 = 0

Solving the Quadratic equation

6x² + 5x - 4 = 0

6x² -3x + 8x - 4 = 0

3x( x- 2) +4 (x-2)= 0

(3x + 4) (x-2) = 0

3x +4 = 0 or x-2 = 0

x = -4/3 or x= 2

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ7

Is two to the fourth power equal to 2×4

Answers

Answer:

No

Step-by-step explanation:

2 to the fourth power is equal to 16.

On the other hand, 2 times 4 is equal to 8.

So, they are not equivalent because 16 [tex]\neq[/tex] 8

4² is the same as the question 4 x 4 which is 16

find the measure of x(HEELP)

A.180

B.109

C.135

D.116

C.120

Answers

Answer:

x = 109

Step-by-step explanation:

The exterior  angle of a triangle is equal to the sum of the opposite angles in the triangle

x = 45+64

x =109

Answer:  B. 109 degrees

Step-by-step explanation:

The two remote interior angles add up to the exterior angle which means if you add the two measures you will get x.

64 + 45 =     109    

what is 4 1/2 * 2 1/7 as a mixed number in simplest form?

Answers

It would be 9 9/14 :)

Answer:

9 9/14

Step-by-step explanation:

[tex]4\frac{1}{2}\times\:2\frac{1}{7}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{1}{2}=\frac{9}{2}\\\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 2\frac{1}{7}=\frac{15}{7}\\\frac{9}{2}\times\frac{15}{7}\\\\\mathrm{Multiply\:fractions}:\\\quad \frac{a}{b}\times\frac{c}{d}=\frac{a\:\times\:c}{b\:\times\:d}\\\\=\frac{9\times\:15}{2\times\:7}\\\\=\frac{135}{14}\\\\[/tex]

[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{135}{14}\\=9\frac{9}{14}[/tex]

Find the other endpoint of the line segment with the given endpoint and midpoint.

Endpoint: ( -1, -7) Midpoint: ( -4, 10)

Answers

Don’t listen to other person above me who said you sell your self for s*x, just bc you need help on a question doesn’t make you stupid and doesn’t not mean you should drop out.

Here is the answer:

Endpoint 1 - (-1, -7)
Endpoint 2 - (-7, 27)
Midpoint - (-4, 10)

The Yellow Cab Company charges just $0.25 a mile, but it costs $5 to get in the cab. Express
Cab charges no fee to get in the cab, but $1.50 a mile for the ride.
a) If you are going 7 miles, which cab company should you call?
b)
If you are going 3 miles, which cab company should you call?
c)
For what length of drive is the cost equal?

Answers

Yellow Cab : y = 0.25x + 5
Express Cab: y = 1.5x
a) Yellow Cab: 1.75 + 5 = 6.75
Express Cab: 1.5 * 7 = 10.5
YELLOW CAB
b) Yellow Cab: 0.75 + 5 = 5.75
Express Cab: 1.5 * 3 = 4.5
EXPRESS CAB
c) 0.25x + 5 = 1.5x
1.25x = 5
x = 4
4 MILES

Answer:

For 7 miles call they Yellow Cab and for 3 miles call Express Cab

In 4 miles it cost $6.00 for both

Step-by-step explanation:

Express Cab= $4.50 for 3 miles, and for 7 miles it cost $10.50

Yellow Cab = $5.75 for 3 miles, and for 7 miles it cost $6.75

add 1.50 to 4.50 and is 6 dollars in 4 miles and add 0.25 to 5.75 and it also makes it 4 miles

Roger is x centimeters tall and Olivia is y centimeters tall. Their oldest sister, Isabella, is 25 centimeters shorter than the double of the sum of Roger and Olivia’s height. Write an expression for Isabella’s height

Answers

Answer: 2(x+y)-25

Step-by-step explanation:

First, we need to show the sum of Roger and Olivia's heights. If Roger is x and Olivia is y, the sum is x+y

Next, we need to double that. To double something we multiply it by 2. Since we need double the expression we found above, we put it in parentheses. So the doubled sum is shown as 2(x+y)

Finally, we need to show that Isabella is 25 centimeters shorter than the doubled sum. To do that, subtract 25.

The final expression for Isabella's height is 2(x+y)-25

Which statement best describes the graph of 2x−5y=−25 and the graph of y=5/2x+5?

Answers

Answer:

Explanation:
2x - 5y = -25
-5y = -2x - 25
y = (-2/-5)x - 25/-5
y = (2/5)x + 5

y = 5/2x + 5

We can see that their slope is different but have the same y-intercept.

PLZ HELP!!!
At the band’s peak of popularity, a signed Black Diamond poster sold for $500. Three years later, the band was almost forgotten, and the poster was worth only $10. Write a function that will allow you to calculate how much the poster is worth after x years. State the meaning of each part of the equation in the context of the problem.

The annual depreciation rate is 72.86%

Answers

Answer:

The annual depreciation rate is 72.86%.

Step-by-step explanation:

The information provided are:

At the band’s peak of popularity, a signed Black Diamond poster sold for $500.Three years later, the band was almost forgotten, and the poster was worth only $10.

From the above data we know that the band's popularity depreciated.

The initial cost of a signed Black Diamond poster was, a = $500.

After three years the cost of a signed Black Diamond poster was, y = $10.

It can be seen that the value of a signed Black Diamond poster is decreasing exponentially over the years.

The formula for exponential decay or depreciation is:

[tex]y=a(1-r)^{x}[/tex]

Here,

y = final value

a = initial value

r = rate of depreciation

x = time

Compute the annual depreciation rate as follows:

         [tex]y=a(1-r)^{x}[/tex]

        [tex]10=500\times (1 -r)^{3}[/tex]

[tex](1-r)^{3}=\frac{10}{500}[/tex]

 [tex](1-r)=\sqrt[3]{\frac{1}{50}}[/tex]

    [tex]1-r=0.2714[/tex]

          [tex]r=1-0.2714\\\\r=0.7286[/tex]

Thus, the annual depreciation rate is 72.86%.

find the value. 2⅔×2¹/7​

Answers

Answer: 40/7, if you need, the mixed fraction is 5 5/7

Step-by-step explanation:

First of all, convert all the mixed fraction into improper fraction.

2 2/3=8/3

2 1/7=15/7

Then do the multiplication.

8/3 × 15/7=120/21=40/7 (You can directly simplify it to 40/7 since you can use 15 divided by 3 to get 5 left in the numerator)

Hope this helps!! :)

Please let me know if you have any question

Answer:

5.71

Step-by-step explanation:

two two by three × two one by seven

=8/3×15/7

=8×5/7 as 15 and three will divide and 15 will change to 5

=40/7

=5.71

Solve graphically 6x-3y+10=0 and 2x -y +9 =0​

Answers

Answer:

Step-by-step explanation:

6x-3y+10=0 ⇒-3y=-6y-10 ⇒ y=-6x/-3 -10/-3⇒ y=2x+10/3

2x -y +9 =0​ ⇒ -y=-2x-9 ⇒y=2x+9

y=2x+10/3y=2x+9

3-12=
please help i do not understand this

Answers

Unfortunately, I do not go to Harvard Business School so I am unable to solve this complex equation.

Answer: -9

Step-by-step explanation: you want to take away 12 from 3, which will leave you in the negatives

what is the differnece in meaning between f and f(x)

Answers

Answer:f(x) indicates applying the function to the value x and can also represent the actual value obtained by applying the function to x

Step-by-step explanation:

Answer:

f(x) means y

Step-by-step explanation:

You use f(x) when it is representing y in a function

Harry liked to collect old movies. On 4 different days, he bought 2 movies. On 2 other days, he bought 3 movies each day. After that he sold 2 sets of 2 movies. He figured out how many he had total, and then he divided that total into 2 groups to put onto his shelves. How many did he put on each shelf? Choose the expression that best matches this situation.

Answers

Answer:

Harry put 5 movies on each shelf.

Step-by-step explanation:

The information provided is:

On 4 different days, he bought 2 movies.On 2 other days, he bought 3 movies each day. After that he sold 2 sets of 2 movies.He divided the remaining into 2 groups to put onto his shelves.

So, first Harry bought 2 movies on four different days.

That is, a total of 8 movies.

Then, he bought 3 movies on two other days.

That is, a total of 6 movies.

So, in total Harry bought 14 movies.

Now, he sold 2 sets of 2 movies.

That is, he sold 4 movies.

He has 14 - 4 = 10 remaining movies with him.

It is provided that he divided remaining movies into 2 groups to put onto his shelves.

So, he put 10/2 = 5 movies on each shelf.

Answer:

[(4 x 2) + (2 x 3) – (2 x 2)] ÷ 2

Step-by-step explanation:

Can somebody help me with this ?? :)

Answers

The answer is C. If the verticle line intersects with the graph more than once, it is NOT a function.

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