Δ ABC was dilated from point A to get Δ ADE. Find the length of AD given a scale factor of 2.

Given:

The function is:

[tex]f(x)=\dfrac{2x}{x+4}[/tex]

To find:

The vertical and horizontal asymptotes of the given function.

Solution:

We have,

[tex]f(x)=\dfrac{2x}{x+4}[/tex]

For vertical asymptotes, equate the denominator and 0.

[tex]x+4=0[/tex]

[tex]x+4-4=0-4[/tex]

[tex]x=-4[/tex]

So, the vertical asymptote of the given function is [tex]x=-4[/tex].

The degree of the numerator is 1 and the degree of the denominator is also 1.

Since the degrees of numerator and denominator are equal, therefore the horizontal asymptote is:

[tex]y=\dfrac{a}{b}[/tex]

Where, a is the leading coefficient of numerator and b is the leading coefficient of denominator.

Leading coefficient of numerator is 2 and the leading coefficient of denominator is 1, so the horizontal asymptote is:

[tex]y=\dfrac{2}{1}[/tex]

[tex]y=2[/tex]

Therefore, the correct option is C.

How many apples are in each pie if a total of 3 and one-half apples were used to bake 2 pies?

Here you will have to divide the data.

Answer:

She has 5 candles left.

Step-by-step explanation:

Total of candy Sarah has = 25candies

If Sarah gave 2/5 of the candies to her sister, the total amount she gave her sister will be 2/5 of 25

2/5 of 25 = 10

The remaining candy left will be 25-10 which is 15.

If she gave 2/3 of the amount left to her friend, the amount she gave her friend will be 2/3×15 = 10candies.

Answer:

please mark me as brainlist

Answer:

The answer is x = 1800

Step-by-step explanation:

Hope this helps :)

Have a nice day.

Answer:

41

136

155

193

Step-by-step explanation:

use the equation 19*d+22=h

19 represents the number of hats knitted per day

22 represents the already made hats

Answer:

hhhhhhhhhhhhhhhhhhu

Step-by-step explanation:

Answer:

210 Km

Step-by-step explanation:

Distance travelled is calculated as

distance = speed × time ( time is in hours )

              = 90 × 2 [tex]\frac{1}{3}[/tex]

             = 90 × [tex]\frac{7}{3}[/tex]

            = 30 × 7

            = 210 Km

Answer:

102

Step-by-step explanation:

Exterior angle is sum of interior angles.

∠1 = 51 + 51

∠1 = 102

Answer: m∠1 = 102°

Step-by-step explanation:

The inside angles of a triangle always add up to 180°

so get the 3rd inside angle with

[tex]180-51-51=78[/tex]

And we know that a straight line in 180° on each side

So we take 180° and subtract 78° to get our answer 102°

Step-by-step explanation:

210÷3×2=140 (140)CD

210-140=70 (70)left

70÷4×1=17.50 (17.50)food

70-17.50=52.50 (52.50)left

Step-by-step explanation:   The standard formula for geometric sequence is an = a1 * r^(n-1) where r is the geometric factor and n is an integer. In this problem, upon substitution, an = 4*2^(n-1).

Answer:

[tex]\sqrt{89}[/tex] = 9.83

Step-by-step explanation:

[tex]\sqrt{89}[/tex]

[tex]\sqrt{25 + 64} \\\sqrt{5^2 + 8^2}[/tex]

Answer: 89

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Slope=(1-(-13))/(0-2))=-7. m is - 7 which is negative.

Answer:

Denise = 16

Sister = 10

Step-by-step explanation:

D=denise

S=sister

Eq 1)   D=S+6

Eq 2)  D-8 =4S-8

replace D with S+6 in Eq 2

(S+6)-8 = 4S -8

S-2 = 4S -8

add 8 to both sides

S+6 =4S

subtract S from both sides

6 = 3S

divide both sides by 3

2 = S   ( this is the sister age 8 years ago )

2+8 = 10  current age

plug that into Eq 1)

D = 10 +6

D=16    (Denise's current age)

so

Denise = 16

Sister = 10

if you subtract 8 from each , then there ages 8 years ago would be

Denise =8

Sister = 2

and 2*4 = 8  

this checks

Answer:

336π square millimeters

Answer:

A

Step-by-step explanation:

Answer:

-4/5

Step-by-step explanation:

2/5 ÷ -1/2

Copy dot flip

2/5 * -2/1

-4/5

Hello,

Your answer would be right side of the graph

Please mark as brainiest

The peak in the data would likely be the right side of the graph.

The distribution of a data set when displayed on a dot plot is said to be skewed left (left skewed) when most of the data appear on the right side of the graph. This means, the highest scores are on the right while the lowest values of the variable are on the left side of the graph (in order words, tapers towards the left of the graph). See the image labelled A in the attachment below.

Also, for a data set distribution that is skewed right (right skewed), most of the data appear on the left side of the graph. It will have a tail tapering to the right. See the image labelled A in the attachment below.

Therefore, for data set that ranges between 50 and 90, and the distribution is skewed left, the peak in the data would be to the right of the graph.

Learn more about skewness of a data set here:

https://brainly.com/question/3252860

Answer:

value of K =16

I hope it's helps you

Answer:

The vertex appears to be (-1,-5)   (The lowest point of line)

Axis of symmetry is x = -1   (Notice that the x value of the vertex is same)

y-intercept is (0, -3)     (where the line crosses the y-axis)

Answer:

B: 8/100 = n/75

Step-by-step explanation:

OPTION B is the correct answer.

Answer:

115

Step-by-step explanation:

When x = -11, x^2 = 121. y = 121 - 6 = 115.

Hope this helped,

~cloud

Answer:

115

Step-by-step explanation:

y = x^2 - 6

Let x = -11

y = (-11)^2 - 6

y = (121) -6

   = 115

I think there's an error with this question. Mind to check it back and tell me the detail?

a=132°

b=20°

Answer:

Solution given:

a=132°[exterior angle of a cyclic quadrilateral is equal to the opposite interior angle]

again

In ∆ BCO is similar to ∆ BOE

so

b=20°[corresponding angle of similar triangle are equal]

Answer:

b:    [tex]\frac{5-\sqrt{11} }{2}[/tex]< x < [tex]\frac{5+\sqrt{11} }{2}[/tex]  

c:  x < -5 , x > 7

Step-by-step explanation:

Answer:

because length is same I hope it will help you please follow me

Answer:

Step-by-step explanation:

[tex]Sin \ 30 = \frac{opposite \ side}{hypotenuse}\\\\\frac{1}{2}=\frac{h}{6}\\\\\frac{1}{2}*6=h\\\\3 = h[/tex]

h = 3 cm

Area of parallelogram = b * h

                                    = 6 * 3

                                     = 18 sq.cm

The area of the triangle is (A) [tex]73.6ft^{2}[/tex].

Area = [tex]\frac{1}{2}[/tex] × [tex]a[/tex] × [tex]b[/tex] × [tex]sin[/tex] (θ)

Now, out the values in the formula for the solution.

[tex]A=\frac{1}{2} (16)(10)sin(67^{o} )\\A= 80sin(67^{o} )\\[/tex]

[tex]A=73.6ft^{2}[/tex]

Therefore, the area of the given triangle is (A) [tex]73.6ft^{2}[/tex].

Know more about the area of triangles here:

https://brainly.com/question/17335144

#SPJ2

Answer:

For a give event with outcomes:

{x₁, x₂, ..., xₙ}

Each with probabilities:

{p₁, p₂, ..., pₙ}

The expected value is:

Ev = x₁*p₁ + ... + xₙ*pₙ

Here we have the outcomes and probabilities:

win $1, with a probability 20%/100% = 0.2

win $2, with a probability 25%/100% = 0.25

win $5, with a probability of 35%/100% = 0.35

do not win, with a probability of 20%/100% = 0.2

Then the expected value of the game is:

Ev = $1*0.2 + $2*0.25 + $5*0.35 + $0*0.2 = $2.45

And if we know that the game costs $2, then the expected value is:

Ev = $2.45 - $2 = $0.45

The expected value is  $0.45