Segment AB has coordinates A(-4, 7) and B(5, 1). Find AP/AB and the coordinates of P that partitions AB such that AP:PB = 1:2. AP/AB= [Select] Coordinates of P: ( [Select] [Select] Hint: (x₁+ m/n (x2-x1). Y₁+ m/n (y2-V₁))​

Answer:

90 degrees :)

Step-by-step explanation:

x and 90 are supplementary.

x + 90 = 180

x = 90

The circumference of the circle is  [tex]C =\dfrac{20\pi}{4+\pi}[/tex]  when A is a minimum.

The circumference of the circle is the length of the curve traced out from the fixed point which is equidistant from the locus of the curve.

Let the side of the square be s

and the radius of the circle be r

The perimeter of the square is = 4s

The circumference of the circle is =2πr

Given that the length of the wire is 20 cm.

According to the problem,

4s + 2πr =20

⇒2s+πr =10

[tex]s=\dfrac{10-\pi r}{2}[/tex]

The area of the circle is = πr²

The area of the square is = s²

A represents the total area of the square and circle.

A=πr²+s²

Putting the value of s

[tex]A =\pi r^2 +(\dfrac{10-\pi r}{2})^2[/tex]

[tex]A =\pi r^2 +(\dfrac{10}{2})^2-2\times \dfrac{10}{2}\times \dfrac{\pi r}{2}+(\dfrac{\pi r}{2})^2[/tex]

[tex]A = { \pi r^2}(\dfrac{4+\pi}{4})-5\pi r+25[/tex]

For maximum or minimum [tex]\dfrac{dA}{dr}=0[/tex]

Differentiating with respect to r

[tex]\dfrac{dA}{dr}=\dfrac{2\pi r(4+\pi )}{4}-5 \pi[/tex]

Again differentiating with respect to r

[tex]\dfrac{d^2A}{dr^2}=\dfrac{2\pi (4+\pi )}{4}[/tex]    > 0

For maximum or minimum

[tex]\dfrac{dA}{dr}=0[/tex]

[tex]\dfrac{2\pi r(4+\pi )}{4}-5 \pi=0[/tex]

[tex]r = \dfrac{10\pi}{\pi (4+\pi)}[/tex]

[tex]r=\dfrac{10}{4+\pi}[/tex]

Therefore the circumference of the circle is

C = 2 π r

[tex]C = \dfrac{20 \pi }{4+\pi }[/tex]

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Answer:

( -2 , -1 ) , ( -2 , 3 ) , ( 1 , 0 )

if you need any other help , please let me know [ you'll have to pay ]

Answer:

X=26

Combine multiplied terms into a single fraction to make the question more simple.

EX: 3(2x-16)/4

Answer:

x=26

Step-by-step explanation:

3/4(2x-16)=27

3/4×2(x-8)=27

3/2(x-8)=27

x-8=27×2/3

x-8=9×2

x-8=18

x=18+8

x=26

The coordinates of the point B are given as (2, - 4)

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Under a reflection in the y- axis

A point (x, y) → (- x, y), hence

A(- 2, - 4) → B(2, - 4)

Therefore the coordinates of the point B are given as (2, - 4)

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Answer:

8 pigs are there according to the questions because in question there is told that there are pigs as well as ducks

Answer:

Step-by-step explanation:

Answer:

(-2, -11)

(0, -1)

(2, 9)

(4, 19)

Step-by-step explanation:

when x = -2:

⇒ y = 5(-2) - 1

⇒ y = -10 - 1

⇒ y = -11

when x = 0:

⇒ y = 5(0) - 1

⇒ y = 0 - 1

⇒ y = -1

when x = 2:

⇒ y = 5(2) - 1

⇒ y = 10 - 1

⇒ y = 9

when x = 4:

⇒ y = 5(4) - 1

⇒ y = 20 - 1

⇒ y = 19

[tex] \qquad \qquad \rm \large \dag \: Answer \: \dag[/tex]

We have been given a Quadratic equation, where we have to find the real values of x ~

So, let's proceed with middle term splitting method :

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: x {}^{2} + 6x - x - 6 = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: {x(}^{} x + 6) - 1(x + 6) = 0[/tex]

[tex]\qquad \sf  \dashrightarrow \: (x + 6)(x - 1) = 0[/tex]

Now, we have two conditions here~

Either (x + 6) = 0

[tex]\qquad \sf  \dashrightarrow \: x = - 6[/tex]

or (x - 1) = 0

[tex]\qquad \sf  \dashrightarrow \: x = 1[/tex]

Answer:

A. Every small detail listed.

Step-by-step explanation:

This is incorrect because a summary is short. Listing every small detail would make your summary too long.

hope this helps

have a good day

Answer:

sin2x = √3/2.

Step-by-step explanation:

sin2x = 2 sinx cosx

So sinx cosx = 1/2 sin2x

So  1/2 sin2x = √3/4

sin2x = √3/4  * 2

sin2x = √3/2.

Check the picture below.

so we have a rectangle with two circles, the rectangle is a 21x10.5 and the circle's have a radius of 5.25, so let's get the area of the two circles and subtract it from the whole area of the containing rectangle.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(21)(10.5)}~~ - ~~\stackrel{two~circles}{2[\pi (5.25)^2]}}\implies 220.5~~ - ~~55.125\pi ~~\approx~~47.32[/tex]

answer:-1

reason :

Once the numbers add up, once they decrease

what does it mean?

it mean that:

The first and second numbers we add are one, they become two

The second and third numbers are one and two. We subtract the second number from the third number, it becomes negative one and ...

1+1=2

1-2=-1

2+(-1)=1

-1-(+1)=-2

1+(-2)=-1

so we should - them

-2-(-1)=-1

The next number in the given sequence will be negative 1.

What is a sequence?

A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

The first and second numbers we add are one, they become two.

The second and third numbers are one and two. We subtract the second number from the third number, it becomes a negative one, and ...

1 + 1 = 2

1 - 2 = - 1

2 + (-1) = 1

-1 - (+1) = -2

1 + (-2) = -1

Then the next number in the sequence will be given as,

-2 - (-1) = -1

The next number in the given sequence will be negative 1.

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Answer:

(x-6)^2 =40

Step-by-step explanation:

The correct answer is (x-6)^2 =40

why??

Expand (x-6)^2

x^2 -12x+36 =40

Transpos  40 to the left side

So,

x^2 -12x+36 -40

Which is

x^2 -12x -4=0

The first step in finding the incenter of the triangle, JKL using paper folding is to Fold the paper so that the legs of ∠K overlap.

The first step in using the paper folding method is to fold the paper so that the legs of the triangle overlap.

Then unfold the paper and draw a line at the crease you find. This will allow you to label the point of intersection after you do the same for all the sides of the triangle. This point is the incenter.

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Answer:

Sample proportion (phat) = 180/400 = 0.45z-critical value for 95% confidence interval is z-score for probability = 0.975 = 1.96CI = phat +/- z-critical value * sqrt((phat)(1-phat)/sample size)      = 0.45 +/- 1.96 * sqrt(0.45 * 0.55/400)    = 0.45 +/- 0.049     = 0.401, 0.499

Answer:

i would like to.    the answer is 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer would be 4, because 4 factors into every number.

Answer:

12*1/4= 3

30 is C

16*3/4 = 12

31 is B

Answer:

30: C

31: B

Step-by-step explanation:

30: If the width of the vegetable garden is 1/4 of it's length, we have to divide the length of the garden (12 feet) by 4 and we get 3 feet.

31: We just need to multiply 16 by 3/4 and we get 12.

The simplified form of the expression (2 + 8) : 5 + 3 x 4 – (1 + 5) in the ratio is 10 : 11.

Usually, simplification involves proceeding with the pending operations in the expression. Like, 5 + 2 is an expression whose simplified form can be obtained by doing the pending addition, which results in 7 as its simplified form.

Simplification usually involves making the expression simple and easy to use later.

The given expression is

(2 + 8) : 5 + 3 x 4 – (1 + 5) : 2 =

10 : 5 + 12 - 6

10 : 11

The simplified form of the expression in the ratio is 10 : 11.

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The true statements about the scatter plots are

From the graph of the scatter plot, we have the following highlights:

The above highlights mean that (a), and (d) are true

Since the graph is a linear association, then it can be used to model hourly rates

This means that (e) is true

Hence, the true statements about the scatter plots are (a), (d) and (e)

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Answer:

Whats remind?

Step-by-step explanation:

Answer:

The price of other chair is $3841.25

Step-by-step explanation:

Step 1: Write equations.

First equation: The price of one type of chair is three times the price of the other.

Let x be the price of one type of chair and y the price of the other type of chair.

[tex]x = 3y[/tex]

Second equation: The total price for both is $15365

[tex]x + y = 15365[/tex]

Step 2: Solve the system of equations.

1) [tex]x = 3y[/tex]

2) [tex]x + y = 15365[/tex]

Substitute x in the second equation with x from first.

[tex]x + y = 15365\\(3y) + y = 15365[/tex]

Now solve for y (y is the price of the other chair).

[tex]4y = 15365\\y = \frac{15365}{4}\\y = \$3841.25[/tex]

Answer:

tan cox³ / 5s

Replace ^-1 with ^(-1)

Replace x3 with x³

Simplify

x³ / 5

Use equation to solve

tan • ((co • (s-1)) • x³ / 5)

Take the previous equation and format it in a simpler form

tan • ((co • (s-1)) • x³ / 5) ⇒ tan • cox³ / 5s

tan cox³ / 5s

Answer:

[tex]x=\frac{ln(\frac{19}{7}) }{2}[/tex]

Step-by-step explanation:

7*e^2x + 10 = 29

Subtract 10 to both side.

7*e^2x = 19

Divide 7 to both side.

e^2x = 19/7

Inverse e with ln.

ln(19/7) = 2x

Divide 2 to both side.

[tex]x=\frac{ln(\frac{19}{7}) }{2}[/tex]

Step-by-step explanation:

you know by using the x and y coordinates of the point in the equations and see, if both equations are still true.

if yes, it was a solution, and if just only one is false, then it was not a solution.

(3, -2) in

y + 4x = 10

5x - y = 13

so,

-2 + 4×3 = 10

-2 + 12 = 10

10 = 10 true

5×3 - (-2) = 13

15 + 2 = 13

17 = 13 false

so, it was NOT a solution.

Answer:

2√13

Step-by-step explanation:

⇒ √(3√3)² + 5²

⇒ √27 + 25

⇒ √52

⇒ 2√13

The arc YOR of the circle is the major arc

In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.

The formula for Area of a sector is given as;

θ/360 * πr²

where;

θ is the central angle of the sector

r is radius

Now, looking at the given options we can say that the only one that represents the area of the sector is;

A = n/360 * πr²

where n is the central angle of the sector

Given data ,

Let the arc of the sector be represented as YOR

Now , the center of the circle is Q

The angle subtended by the minor arc of the circle = 150°

So , the remaining angle = 360° - 150° = 210°

And , the angle subtended by the major arc = 210°

So , the arc YOR is the major arc of the circle

Hence , the major arc is YOR

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Answer:

(2)(2)+10x+12/x+3

=

10x+16/x+3

Step-by-step explanation: