Rhombus DEFG with vertices D(1, 4), E(5, 5), F(4, 1),
and G(0, 0); 270° clockwise rotation about R(6,8)

Answer:

The slope of the tangent m = -0.0833

Step-by-step explanation:

Step(i):-

Given that the curve

      x y - 2y² + x² = -5 ...(i)

Differentiating equation (i) with respective to 'x', we get

  [tex]x(\frac{dy}{dx} )+y (1) -2(2y)\frac{dy}{dx} + 2x=0[/tex]

    [tex]x(\frac{dy}{dx} ) -2(2y)\frac{dy}{dx} = -2x-y[/tex]

    [tex](x -4y)\frac{dy}{dx} = -2x-y[/tex]

       [tex]\frac{dy}{dx} = \frac{-2x-y}{x-4y}[/tex]

Step(ii):-

The slope of the tangent

[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2x-y}{x-4y}[/tex]

[tex](\frac{dy}{dx})_{1,-1.5} = \frac{-2(1)-(-1.5)}{1-4(-1.5)}[/tex]

       m =   [tex]\frac{-2+1.5}{1+6}[/tex]

       [tex]m = \frac{-0.5}{6} = -0.083[/tex]

The slope of the tangent m = -0.0833

Answer:

S = ( 6, 12, 18, 24, 30, 36......)

T = ( 2, 4, 6, 8, 10, 12, 14, 16, 18......)

Answer:

Step-by-step explanation:

Alright so we are going to solve

5x ≥ 25  Divide both sides by 5

x≥5

Answer:

15

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

60÷25=2.4

Answer:

59

Step-by-step explanation:

Find the diagram attached

From the diagram, we can see that both given angles are vertically opposite angles, hence they are equal

3x - 33 = 2x+26

3x-2x = 26 + 33

x = 59

Hence the value of x is 59

Answer:

C

Step-by-step explanation:

The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.

Given that, a function with zeros at -3,-1, 0, and 6.

The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

Now, x=-3⇒x+3, x=-1⇒x+1, x=0 and x=6⇒x-6.

The function is y=x(x-6)(x+3)(x+1).

The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.

To learn more about the functions visit:

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Answer:

20,000   17000  17200.

Step-by-step explanation:

That's your answer.

Answer:

1

Step-by-step explanation:

Answer:    c = 14.287  approximately

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Work Shown:

Refer to the diagram below. Note how side a is opposite angle A, and side c is opposite angle C.

tan(angle) = opposite/adjacent

tan(A) = a/c

tan(57) = 22/c

c*tan(57) = 22

c = 22/tan(57)

c = 14.2869670503452

c = 14.287

This value is approximate. Make sure your calculator is in degree mode

Answer:

D.AKLM = AKLM

Step-by-step explanation:

because D.AKLM = AKLM is an example of the symmetric property of congruence

The statement which represents the symmetric property of congruence is given by if ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle be represented as ΔKLM

Let the second triangle be represented as ΔPQR

Now , the measure of sides and angles be congruent

So , ΔKLM ≅ ΔPQR

From the symmetric property of congruence ,

If the first figure is congruent to second figure , the second figure is congruent to first figure

ΔKLM ≅ ΔPQR , then ΔPQR ≅ ΔKLM

Hence , the ΔKLM ≅ ΔPQR and they are congruent triangles

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Answer:

45 cats prefer fish

Step-by-step explanation:

Answer:

5/12 cannot simplify more further

Step-by-step explanation:

11/12 - 6/12 = 5/12

Answer:

5/12

Step-by-step explanation:

hope this helps have a nice day

Answer:

es esto correcto? 25?

Step-by-step explanation:

Answer:

20 students

Step-by-step explanation:

Answer:

X can either be 7, or -10. You can prove this by plugging in the numbers yourself :)

Step-by-step explanation:

Please mark as brainliest

Answer:

question 1-- x=15

question 2-- x=21

Answer:

33

Step-by-step explanation:

46/22=46+23/x

46x=22 times 69

46x=1518

x=33

Answer:

51.877 kg

Step-by-step explanation:

a

See attachment for calculations

b

The amount of salt in the tank after 4 hours is gotten by simply replacing t in the equation from a, with 4 hours. Since the t gotten in a above is in minutes, we'd convert hours to minute as well. If we do that, we have

t = 4 hours = 4 * 60 minutes = 240 minutes

y = 160/3 (1 - e^((-3 * 240)/200))

y = 160/3 (1 - e^(-720/200))

y = 160/3 (1 - 0.0273)

y = 160/3 (0.9727)

y = 51.877 kg

Therefore, the amount of salt in the tank after 4 hours is 51.877 kg

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary:

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

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Work Shown:

x = brother's age, which is some positive whole number

x-6 = sister's age, since she is 6 years younger than her brother

The product is the result of multiplication, so we multiply x and (x-6) to get 135

x*(x-6) = 135

x^2-6x = 135

x^2-6x-135 = 0

Use the quadratic formula to solve from here

We plug in a = 1, b = -6, c = -135

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-6)\pm\sqrt{(-6)^2-4(1)(-135)}}{2(1)}\\\\x = \frac{6\pm\sqrt{576}}{2}\\\\x = \frac{6\pm24}{2}\\\\x = \frac{6+24}{2}\ \text{ or } \ x = \frac{6-24}{2}\\\\x = \frac{30}{2}\ \text{ or } \ x = \frac{-18}{2}\\\\x = 15\ \text{ or } \ x = -9\\\\[/tex]

x represents the brother's age, in years. So x must be positive.

Since x must be positive, this means we rule out x = -9

The value x = 15 is the only practical solution.

If x = 15, then x-6 = 15-6 = 9

The brother is 15 years old and the sister is 9 years old.

The product of their ages is 15*9 = 135, which confirms the answers.

Answer:

( 1/x-5)*8x

(1*8x)/(x-5)

8x/x-5

Answer:

b

Step-by-step explanation:I hope this helps

Answer:

1) AB = 10cm

2) 70 degrees

3) 12m

4) 10m

5) 32 degrees

6) 9 + 9 = 18m

Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.

Step-by-step explanation:

Answer:

The ratios change as the position of D changes, but the two ratios remain equal to each other

Step-by-step explanation:

Answer:

-16394

Step-by-step explanation:

Pattern rule : Start at -2 and multiply it by -2.

-2 x -2 = 4

4 x -2 = -8

-8 x -2 = 16

16 x -2 = -32

- 32 x -2 = 64...so on

Answer:

1/3

Step-by-step explanation:

There are 9 total outcomes, and 3 are favorable, or are two of the same color in a row. 3/9 simplifies to 1/3. Hope this helps!

Answer:

42 sweets

Step-by-step explanation:

28 / 2 = 14 x 3 = 42

Hope that helps!