Find the scale factor from Triangle ABC to Triangle DEF.

Answer:

(x+4)² + (y-k) ² = 16

Step-by-step explanation:

The equation of the circumference is expressed as;  

(x-h) ² + (y-k) ² = r²

(h,k) is the centre

r is the radius

Given that diameter = 8

radius = 8/2

radius = 4units

Given that h = -4 and k = 2

(x-h) ² + (y-k) ² = r²

(x-(-4)) ² + (y-2) ² = 4²

(x+4)² + (y-k) ² = 16

This gives the required equation

Answer:

The last one

Step-by-step explanation:

[tex]x^3+1=0[/tex]

Subtract 1 from both sides

[tex]x^3+1-1=0-1[/tex]

simplify

[tex]x^3=-1[/tex]

[tex]\mathrm{For\:}x^3=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt[3]{f\left(a\right)},\:\sqrt[3]{f\left(a\right)}\frac{-1-\sqrt{3}i}{2},\:\sqrt[3]{f\left(a\right)}\frac{-1+\sqrt{3}i}{2}[/tex]

[tex]x=\sqrt[3]{-1},\:x=\sqrt[3]{-1}\frac{-1+\sqrt{3}i}{2},\:x=\sqrt[3]{-1}\frac{-1-\sqrt{3}i}{2}[/tex]

simplify

[tex]x=-1,\:x=\frac{1}{2}-i\frac{\sqrt{3}}{2},\:x=\frac{1}{2}+i\frac{\sqrt{3}}{2}[/tex]

(That's basically the last one but in a different way of writing it)

Answer:

The last one

Step-by-step explanation:

Subtract 1 from both sides

simplify

simplify

Answer:

[tex]a_{n}[/tex] = - 3n - 3

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 6 and d = a₂ - a₁ = - 9 - (- 6) = - 9 + 6 = - 3 , then

[tex]a_{n}[/tex] = - 6 - 3(n - 1) = - 6 - 3n + 3 = - 3n - 3

Answer:

twenty-seven dollars

Step-by-step explanation:

0.6×$45=$27

Answer:

r = 5

Step-by-step explanation:

12 - 1/5r = 2r + 1

12 - 0.2r = 2r + 1

12 - 0.2r + 0.2r = 2r + 0.2r + 1

12 = 2.2r + 1

12 - 1 = 2.2r + 1 - 1

2.2r = 11

2.2r ÷ 2.2 = 11 ÷ 2.2

r = 5

Answer:

r = 5

Step-by-step explanation:

12- 1/5r = 2r + 1

12 = 11/5r + 1

5(11) = (11/5r)5

55 = 11r

r = 5

Answer:

B

Step-by-step explanation:

It is linear and increasing.

If it is linear, it is increasing at a constant rate with a straight line.

Exponential means it is a curved line and would have an equation like f(x)=5^x

If it was decreasing, it would have a negative slope, such as -2x +10

Answer:

1. If x is under a square root then x cannot equal a negative number. If x is in the denominator of a fraction then x cannot equal zero.

2. ax2 + bx + c

Step-by-step explanation: Hope this helps :)

Answer:

531.167 ft²

Step-by-step explanation:

Given data

Dimension of pool

Diameter =24ft

Radius =12ft

If the cover must hang by 1ft around, then the diameter is 26ft

Radius =13ft

Area of cover = πr²

Substitute

Area = 3.142*13²

Area =3.143*169

Area =531.167 ft²

Hence the minimum area is 531.167 ft²

Answer:

Step-by-step explanation:

cost of 8 pencils=16

cost of 1 pencil=16/8

=Rs 2

cost of 5 pencil=5*2

=Rs 10

Answer:

15 oz

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

Answer:

the second choice

Step-by-step explanation:

Answer:

Restrict values of  x  to .  Then the surface area function is one-to-one and has an inverse.

Write  y  instead of S(x).  Interchange  x  and  y, then solve for  y.

This function could be used to find the edge of a cube with a given surface area.  For example, if the area is  x = 54, then the edge is

Step-by-step explanation:

Answer:

2 degrees / hour

Step-by-step explanation:

The average rate of change is

f(x2) - f(x1)

---------------

x2 -x1

We know that x2 is 6pm so f(x2) is 101

We know that x1 is 10 am so f(x1) is 85

101 -85

--------------

6 pm - 10 am

16 degrees

---------------

8 hours

2 degrees / hour

Answer:

We have this proportion....

36 / 12 = x / 9 where x is the model door height

Cross-multiply

36*9 = 12 * x

324 = 12 *x divide both sides by 12

27 = x and that's the model height in centimeters

Answer:

[tex]y = (x - 3)^2 - 12[/tex]

[tex](3,-12)[/tex]

Step-by-step explanation:

Given

[tex]y = x^2 - 6x - 3[/tex]

Solving (a): In vertex form

The vertex form of an equation is:

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

To do this, we make use of completing the square method.

We have:

[tex]y = x^2 - 6x - 3[/tex]

------------------------------------------------------------------

Take the coefficient of x (i.e. -6)

Divide by 2; -6/2 = -3

Square it: (-3)^2 = 9

Add and subtract the result to the equation

------------------------------------------------------------------

[tex]y = x^2 - 6x - 3[/tex]

[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]

[tex]y = x^2 - 6x + 9 - 12[/tex]

Factorize [tex]x^2 - 6x + 9[/tex]

[tex]y = x^2 - 3x-3x + 9 - 12[/tex]

[tex]y = x(x - 3)-3(x - 3) - 12[/tex]

Factor out x - 3

[tex]y = (x - 3)(x - 3) - 12[/tex]

Express as squares

[tex]y = (x - 3)^2 - 12[/tex]

Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]

Solving (b): State the coordinates of the vertex.

In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)

The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]

Answer:

ans is nothing

plz its is a jock

Answer:

1237t - 289

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer:

x =180-(90+46)

=180-136

=44

Answer:

44°

Step-by-step explanation:

180-90-46=44

Answer:

2√2 I think

Step-by-step explanation:

Answer:

if these are points on a graph, then the point (3,-2) has y-value 2 below the point at (3,0).

Step-by-step explanation:

Answer:

hygiygtuvtyryfyrvvryfyvyvrvfyrvyvrvrvr.

Answer:

The 3rd choice.

Step-by-step explanation:

The third choice has what it takes to be a scientific notation.

Answer:

domain = 0 < x < infinity / range = y < 4

Step-by-step explanation:

Answer:

47yd

Step-by-step explanation:

4 + 15 + 15 + 13 = 47yd

Answer:

47 yd

Step-by-step explanation:

The perimeter is the distance around a polygon. It can be found by adding up all the lengths of the sides.

4 + 15 + 15 + 13

= 47

Answer:

???

Step-by-step explanation:

Where's the image?