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Dilation scale factor:-

Hence he found the opposite scale factor which is for enlargement .

Answer:

D

Step-by-step explanation:

To find the scale factor of dilation, measure the distance between one of the points and the center of dilation for both the original shape and the dilated shape, then compare.

Distance from (0, 0) to point A = 9 units

Distance from (0, 0) to point A' = 2 units

Let x be the scale factor of dilation:

⇒ 9x = 2

⇒ x = 2/9

So the scale factor of dilation that reduces ΔABC to ΔA'B'C' is [tex]\sf \frac29[/tex].

Therefore, the mistake the friend made was finding the scale factor that enlarges ΔA'B'C' to ΔABC

Answer:

[tex](x-1)^2 + (y+4)^2 = 100\\\\[/tex]

=====================================================

Work Shown:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-1)^2 + (y-(-4))^2 = 10^2\\\\(x-1)^2 + (y+4)^2 = 100\\\\[/tex]

You could expand terms out and simplify, but I think it's more handy to leave it in this form so you can easily spot the center and radius from a glance.

The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. The perimeter around the circle is known as the circumference.

here, we have,

we know that,

the standard form of a circle equation is

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle, and r is the radius.

to get r² we simply use the given radius,

here, r = 10

so, we get,

r² = 100

now, circle that is centered at (1,-4)

so, we have,

(x - 1)² + (y + 4)² = 10²

we get, equation in standard form is therefore

(x - 1)² + (y + 4)² = 100

Hence, The solution is, (x - 1)² + (y + 4)² = 100 , is the equation of a circle that is centered at (1,-4) with a radius of 10.

Learn more about circle here:

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Answer:

605/110

Step-by-step explanation:

75*11/110

-

22*10/110

=605/110

Step-by-step explanation:

Pythagoras

c² = a² + b²

c being the Hypotenuse (the line opposite of the 90° angle) of the right-angled triangle.

9² = 5² + side²

81 = 25 + side²

56 = side²

side = sqrt(56) = sqrt(4×14) = 2×sqrt(14)

Answer:

54

Step-by-step explanation:

length times width times height

Answer:

Using the section formula, if a point (x,y) divides the line joining the points (x

1

,y

1

) and (x

2

,y

2

) in the ratio m:n, then

(x,y)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

3AC=CB

CB

AC

=

3

1

Since, A(1,1) and B(2,3) & m:n=1:3

Therefore, we have

C(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

(

1+3

(1)(2)+3(1)

,

1+3

(1)(3)+3(1)

)

C→(

4

5

,

2

3

).

Step-by-step explanation:

Answer:

A = 11.7x

Step-by-step explanation:

We can take the equation we have and "plug in" the values of b and h.

A = [tex]\frac{1}{2}[/tex]bxh

A = [tex]\frac{1}{2}[/tex](4.5)x(5.2)

A = 11.7x

Without more context, this is as far as we can get.

The given quadratic equation forms a parabola when graphed, a U-shaped line.

To find the minimum value of y, we could find the y-coordinate of the vertex.

The vertex represents the maximum or minimum point on a parabola. It tells us the optimal y-value of the function and the x-value at which it occurs.

For the given quadratic, [tex]y=x^2+6x+7[/tex] the optimal y-value, or the y-coordinate of the vertex, will be a minimum. The [tex]x^2[/tex] value is positive, meaning the parabola will open upwards. (Please see below for an image representation).

There are multiple ways to approach this question.

One way is to rearrange the equation, which is currently in standard form, to vertex form.

Another way is to factor the equation to first find the x-intercepts of the graph, find the x-coordinate of the vertex, then at the end, plug the x-coordinate into the equation to find the minimum y-value.

The second strategy is a bit redundant for this type of question, so we can go about solving it by using the first method.

[tex]y=x^2+6x+7[/tex]

First, we can group [tex]x^2[/tex] and [tex]6x[/tex] by using a set of parentheses:

[tex]y=(x^2+6x)+7[/tex]

Then, we can complete the square:

[tex]y=(x^2+6x+(\dfrac{6}{2})^2)^2+7-(\dfrac{6}{2})^2[/tex]

[tex]y=(x^2+6x+9)^2+7-9\\\\y=(x^2+6x+9)^2-2[/tex]

Apply the rule [tex]a^2+2ab+b^2=(a+b)^2[/tex]:

[tex]y=(x+3)^2-2[/tex]

Therefore, the vertex of the quadratic is (-3,-2).

This makes the minimum y-value -2. The x-value at which this occurs is -3.

The minimum y-value -2. The x-value at which this occurs is -3.

Answer:

590 or 589.89

Step-by-step explanation:

Hope this helps!

Answer:

1380.25

Step-by-step explanation:

So to solve this problem, you find the outside circle and subtract it from the inside circle.

So, lets find the basic values

Radius of inside circle = diameter of the inside circle / 2

                                     = 27.6

                                     = 13.8

Radius of outside part = 11.3

So the area of the outside circle is

A = pi r^2

   = pi (11.3 + 13.8)^2

   = 630.01

   = 1978.23

And the area of the inside circle is

A = pi r^2

  = pi (13.8)^2

   = 190.44

   = 597.98

To find the shaded part, we subtract the outer circle with the inner circle

1978.23 - 597.98 = 1380.25

The area of the shaded region is 1380.25

Answer:

B

Step-by-step explanation:

x + 0.5 = 0.58 ? i think thats decimal but anyways

x = 0.58 - 0.5

x = 0.08 ?

sooo um

Answer:

B

Step-by-step explanation:

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

Answer:

The answer is (1,2) I'm pretty sure that is the answer if it is not please tell me I'll check.

Answer:

5

Step-by-step explanation:

Because the only number that can go into 25 besides 1 is 5 and for 5 1 so your answer for the GCF or greatest common factor is 5.

hope this helps have a great day:)

Answer:

5

Step-by-step explanation:

As per the Euclidean Algorithm, GCF(X, Y) = GCF(Y, X mod Y)

where X > Y and mod is the modulo operator.

Here X = 25 and Y = 5

GCF(25, 5) = GCF(5, 25 mod 5) = GCF(5, 0)

GCF(5, 0) = 5 (∵ GCF(X, 0) = |X|, where X ≠ 0)

Therefore, the value of GCF of 5 and 25 is 5.

Answer:

i don't know what you're question is about

Answer:

a

Step-by-step explanation:

Volume = l*b*h = (l*b)*h =Area of base * h

If we double the area of one face

then,New Volume = (2*area of base)*h

                      =2*(l*b)*h = 2lbh =2 * (volume)

Answer:

fabio=2(carlos)-7

31=2(x)-7

31-7=2x

24=2x

x=12

Step-by-step explanation:

Answer:

83.2 meters ÷ 1.28 meters = 65 bows

Answer:

the answer is... Amelia is 5 feet tall and casts a 4-foot shadow.

A tree next to her casts a 12-foot shadow.

The two triangles formed are similar because the angle to the sun is the same.

Choose two equations that can be used to find the height, h, of the tree.

Step-by-step explanation:

hope it helps

The two equations that can be used to find the height are as follows:

12 / 4 = h  /5

5 / 4 = h  / 12

Similar triangles are not necessarily the same in size. Corresponding angles of similar triangles are congruent. The sides of similar triangle are a ratio of each other.

here, we have,

Amelia is 5 feet tall and casts a 4-foot shadow.

A tree next to her casts a 12-foot shadow.

The two triangles formed are similar because the angle to the sun is the same.

The tree cast a shadow of 12 ft.

Let's establish the proportion base on similar triangles. The height of the tree is h.

Therefore,

h / 12 = 5 / 4

Therefore,

h / 12 = 5 / 4

cross multiply

4h = 60

divide both sides by 4

h = 60 / 4

h = 15 ft

Therefore, the two equations that can be used to find the height are as follows:

12 / 4 = h  /5

5 / 4 = h  / 12

learn more on similar triangles here:

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Answer :0.75

Step-by-step explanation:

2x+6x-6=0

2x+6x=6

8x=6

x=6/8

x=0.75

HOPE IT HELPS .... MARK ME BRAINLIEST

Answer:

C. A reflection over the line y = -x

Step-by-step explanation:

You need to reflect that over a line that goes between the two of them. That imaginary line has a rise of -1 (it goes down 1 unit) and a run of 1 (it goes one unit to the right). In other words, the slope is -1. The line should also have a y-intercept of 0 it starts at (0,0).

Put that information in slope-intercept form

y = -1x + 0

You can take out the 0 because it adds nothing to the equation, and you can remove the one because of the same reason, but leave the negative sign.

y = -x

Answer:

New York

Step-by-step explanation:

According to the vertex and the directrix of the given parabola, the equation is:

[tex]y = \frac{3}{4}(x - 1)^2 + 4[/tex]

The equation of a quadratic function, of vertex (h,k), is given by:

[tex]y = a(x - h)^2 + k[/tex]

In which a is the leading coefficient.

The directrix is at y = k + 4a.

In this problem, the vertex is (1,4), hence:

[tex]h = 1, k = 4[/tex]

The directrix is at y = 7, hence:

[tex]4 + 4a = 7[/tex]

[tex]a = \frac{3}{4}[/tex]

Hence, the equation is:

[tex]y = a(x - h)^2 + k[/tex]

[tex]y = \frac{3}{4}(x - 1)^2 + 4[/tex]

More can be learned about the equation of a parabola at https://brainly.com/question/26144898

Answer:

its 53

Step-by-step explanation: