Please help I’m so confused!!!

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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:

15

Step-by-step explanation:

Answer:

2.4

Step-by-step explanation:

60÷25=2.4

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.

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Answer:

question 1-- x=15

question 2-- x=21

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:

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

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

Answer:

20,000   17000  17200.

Step-by-step explanation:

That's your answer.

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:

( 1/x-5)*8x

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

8x/x-5

Answer:

1) AB = 10cm

2) 70 degrees

3) 12m

4) 10m

5) 32 degrees

6) 9 + 9 = 18m

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

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

Answer:

becoming less or fewer; diminishing. Mathematics. (of a function) having the property that for any two points in the domain such that one is larger than the other, the image of the larger point is less than or equal to the image of the smaller point; nonincreasing.

Step-by-step explanation:

BRAINLIST PLEASE!

Meaning of decreased in math is, get smaller in size, number or quantity.

We have to given that,

To defined decreased mean in math.

We know that,

We use minus sign to denote subtract, decreased by, take away, etc.

For example, Minus sign also means how much is one value more than the other value.

Hence, Meaning of decreased in math is, get smaller in size, number or quantity.

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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:

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

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:

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:

b

Step-by-step explanation:I hope this helps

Answer:

33

Step-by-step explanation:

46/22=46+23/x

46x=22 times 69

46x=1518

x=33

Answer:

45 cats prefer fish

Step-by-step explanation:

Answer:

15.8

Step-by-step explanation:

We are asked to find how many seconds it takes for an object to fall from a height of 4,000ft. We will use the given formula, t=h−−√4. Substituting h=4,000, we find

t=4000−−−−√4=15.8

So, the hammer reaches the river after 15.8 seconds.

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:

-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:

42 sweets

Step-by-step explanation:

28 / 2 = 14 x 3 = 42

Hope that helps!

Answer:

Step-by-step explanation:

Alright so we are going to solve

5x ≥ 25  Divide both sides by 5

x≥5