Graph the function.
g(x)=1/3(x-6)^2+1

Answer and Step-by-step explanation: Two triangles are congruent when they have the same 3 sides and the same 3 angles.

One way to find if they are congruents is a theorem called "Side-Angle-Side" (SAS): if two sides and its included angle is equal to the other triangle's corresponding sides and angles, the triangles are congruent.

In the graph below, in triangle DEK, as Steve determined, side DK measures 12. In triangle ABC, side BC is also 12. The angles K and C are equals, so if sides EK and AC are congruent, SAS Congruent Theorem is correct.

To test it, find distances EK and AC, which is calculated as:

[tex]d=\sqrt{(x_{1}-x_{2})^{2}-(y_{1}-y_{2})^{2}}[/tex]

EK is a distance between points E(-6,4) and K(0,-4)

[tex]d=\sqrt{(-6-0)^{2}-(4+4)^{2}}[/tex] = 10

AC is a distance between points A(3,6) and C(9,-2)

[tex]d=\sqrt{(3-9)^{2}-(6+2)^{2}}[/tex] = 10

EK and AC have the same distances between each point, i.e., segment EK measures the same as segment AC, 10 units.

Therefore, triangles DEK and BAC are congruent proven by SAS Congruence Theorem.

Answer:

33.6 gallons

Step-by-step explanation:

[tex]\frac{1.27x10^5 mL}{1}[/tex]   ×  [tex]\frac{1 liter}{1000 mL}[/tex]   ×  [tex]\frac{1 gallon}{3.785 liters}[/tex]  =  33.5535 gallons = 33.6 gallons

Answer:

I think a rhombus

Step-by-step explanation:

HOPE THIS HELPS TO U

Answer:

[tex]P(L\ or\ C) = 0.13[/tex]

Step-by-step explanation:

Given

Represent loose threads with L, Crooked stitching with C.

So, we have:

[tex]P(L) = 6.5\%[/tex]

[tex]P(C) = 9.5\%[/tex]

[tex]P(L\ and\ C) = 3\%[/tex]

Required

Calculate P(L or C)

In probability:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ and\ B)[/tex]

In this case:

[tex]P(L\ or\ C) = P(L) + P(C) - P(L\ and\ C)[/tex]

Substitute values for P(L), P(C) and P(L and C)

[tex]P(L\ or\ C) = 6.5\% + 9.5\% - 3\%[/tex]

[tex]P(L\ or\ C) = 13\%[/tex]

Convert to decimal

[tex]P(L\ or\ C) = 0.13[/tex]

Hence:

The required probability is 0.13

Answer:

The correct option is C : x² + (y +3)² = 9 .

Step-by-step explanation:

We know that the general equation for a circle is ( x - h )² + ( y -k )²= r², Where,

Let the point be ( 0 , -y) , since it is on negative y axis . And the circle passes through the origin that is (0,0) . Hence the center will be 3 units down the y - axis that is ( 0 , -3) .Hence h will be 0 and y = (-3) .

Now its given that the radius of the circle is 3. So on substituting r = 3 , in standard form we have ,

⇒ ( x -h )² + ( y - k )²= r²

⇒ ( x - 0)² + { y - (-3) }² = 3²

⇒ x² + ( y + 3) ² = 3²

⇒ x² + ( y + 3)² = 9

• Note that I have attached the graph of the same .

Answer:

Wouldn't the answer be the point on -3 since

thats how mcuh money he's in debt now after buying that book?

Answer:

9600

Step-by-step explanation:

80 times 60 times 2

Answer:1 19/21

Step-by-step explanation:

Answer: What are the choices?

Step-by-step explanation:

Answer:

uhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

i hope it help

Answer:It’s 6 ... 6/7-3/8=27/56

Hope these helps!!! :)

Step-by-step explanation:

Answer:

-7.5

Step-by-step explanation:

Answer:-7.4

Step-by-step explanation:

Hopen helps ❤

Answer:

I would say that the answer is D

Step-by-step explanation:

Hope this helps you:)

Answer: it will be $670 with the tax sales

Step-by-step explanation:there you go!

9514 1404 393

Answer:

  62°

Step-by-step explanation:

If x is the largest angle, the sum of angles in the triangle is ...

  x + (x -3) +(x -3) = 180

  3x -6 = 180 . . . . . simplify

  x -2 = 60 . . . . . . . divide by 3

  x = 62 . . . . . . . . . .add 2

The largest angle is 62°.

C. 64

This is the answer

Answer:

9.95%

Step-by-step explanation:

Answer:

67%

Step-by-step explanation:

I did math counts

Answer

0.00336

Step-by-step explanation:

Given :

P(Brown), P(Br) = 0.4

P(Blue) = P(b= 0.35

P(green,) = P(g) = 0.12

P(gray), P(Gr) = 0.07

If 3 individuals are selected, the probability that one has brown eye, 1 has Grey and one has green.

Since the probabilities are independent :

P(Br) * P(Gr) * P( g)

0.3 * 0.07 * 0.12

= 0.00336

Assuming you're equipped with the error function,

[tex]\mathrm{erf}(x)=\displaystyle\frac2{\sqrt\pi}\int_0^x e^{-u^2}\,\mathrm du[/tex]

whose derivative is

[tex]\dfrac{\mathrm d}{\mathrm dx}\mathrm{erf}(x)=\dfrac2{\sqrt\pi}e^{-x^2}[/tex]

by substituting x = √y, so that x ² = y and 2x dx = dy, we have

[tex]\displastyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int 2x^2 e^{-x^6}\,\mathrm dx[/tex]

Then if u = x ³ and du = 3x ² dx, we have

[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\int\frac23 e^{-u^2}\,\mathrm du[/tex]

[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(u)+C[/tex]

[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\frac{\sqrt\pi}3\mathrm{erf}(x^3)+C[/tex]

[tex]\displaystyle\int\sqrt y e^{-y^3}\,\mathrm dy=\boxed{\frac{\sqrt\pi}3\mathrm{erf}\left(y^{\frac32}\right)+C}[/tex]

If you're not familiar with the error function, unfortunately there is no elementary antiderivative...

Answer:

180-144.5= 35.5

Explanation:

Supplementary means two angles add up to 180 degrees.

so 180-144.5= 35.5

Hope it helps you.

Answer:

Y=4/5x+3

Step-by-step explanation:

Y–11=4/5(x–10)

Y–11=4/5x–8

Y=4/5x+3

Answer:

-20% aka 20% decrease

Step-by-step explanation:

Answer:

450 %20

Step-by-step explanation: