3^x = 9x. What is the value of x?​

A). They are not similar, because 6/13 is not equal to 8/20

For triangles to be similar, the ratios of sides need to be the same (shortest to shortest, middle to middle, longest to longest). The shortest sides are 6 and 13, respectively, the middle ones are 8 and 20. Because 6/13 is not equal to 8/20, the triangles are not similar.

The statement best explains whether △ABC is similar to △DEF is (A) The triangles are not similar because 613≠820.

Similar triangles are triangles that have similar corresponding side lengths

The corresponding sides of the triangles are:

Triangle A        Triangle B

6                              13

8                              20

10                             25

Calculate the ratios

Ratio = 6/13

Ratio = 8/20

The ratios are not equal.

Hence, the triangles are not similar

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9514 1404 393

Answer:

  A) down

  B) 25 m; 200 m/s

  C) (20.41, 2065.82)

Step-by-step explanation:

When you are first introduced to equations for ballistic motion, you may be told that the formula is ...

  h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds

where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.

When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...

  f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'

When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.

Knowing these things, you are prepared to match the given equation to these patterns.

__

Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.

__

Part B: The constant in the first given equation is 25, so the initial height is 25 meters.

The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.

__

Part C: The vertex can be read from the second equation as ...

  (h, k) = (20.41, 2065.82)

Answer:

what is your question?

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

(2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.

An expression is combination of variables, numbers and operators.

The given expression is 4ˣ/2ˣ.

start fraction, 4, start superscript, x, end superscript, divided by, 2, start superscript, x, end superscript, end fraction for x=3x=3x, equals, 3.

In the given expression x is the variable and division is the operator.

Which means Four to the power of x and divided by two to the power of x.

4ˣ/2ˣ.

The numerator 4ˣ can be written as (2)²ˣ

(2)²ˣ/2ˣ

Hence, (2)²ˣ/2ˣ is the expression equivalent to 4ˣ/2ˣ.

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9514 1404 393

Answer:

  x^2 +(y -61)^2 = 625/36

Step-by-step explanation:

The graph of the above equation is attached.

If the circumference of the wheel is 25π/3 feet, the diameter is ...

  d = C/π = (25/3π)/π = 25/3 . . . feet, about 8.33 feet

The radius will be half that value, or 25/6 feet.

For a center point (h, k) and radius r, the equation of a circle is ...

  (x -h)^2 +(y -k)^2 = r^2

You want the center to be more than 60 feet from the ground, so we can make it be 61 feet. The horizontal location is not specified, so we can make it zero.

This means we apparently want the equation for a circle of radius 25/6 feet with a center that is (x, y) = (0, 61). The equation of this circle is ...

  x^2 +(y -61)^2 = 625/36

Answer:

9 cubic meters

Step-by-step explanation:

V = lwh

V = 1 by 3 by 3

Answer:

9 cubic meters

Step-by-step explanation:

1x3x3=9

Answer:

Step-by-step explanation:

If you add a line of best fit, its extension is likely to intersect the y-axis between 200 and 100 but closer to 100.

The best estimate is choice C) 125

Answer:

4y + 5x + 13

Step-by-step explanation:

4y + 3(y + 1) + 2(x+5)

Distribute

4y + 3y + (3 x 1) + 2x + (2 x 5)

4y + 3y + 3 + 2x + 10

Combine like terms

4y + 5x + 13

Answer:

Students from the list of all students.

Step-by-step explanation:

The list includes ALL students attending the school, not just the ones from a particular group.

Answer:

I am unable to see the picture if you type it i can possibly help

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

Answer:12

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Answer:

-47

Step-by-step explanation:

that's the correct answer

Answer:

hi

Step-by-step explanation:

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Let's simplify step-by-step.

x ^ 2 + 18 + 81 <3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Combine Like Terms:

= x ^ 2 + 18 + 81

= ( x ^ 2 ) + ( 18 + 81 )

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

= x ^ 2 + 99

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

4 feet is left in the wall

Step-by-step explanation:

If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.

Answer:

2 ft.

Step-by-step explanation:

14 - 10 = 4.

4/2 = 2

You divide beacuse theres space on botrhsides of the painting.

Answer:

1. True

2. False

3. False

Step-by-step explanation:

It’s,yes(true),and,no(false),no(false)

Answer:

154 people work in marketing.

55 people work in sales.

Step-by-step explanation:

For every 5 people employed in sales, there are 14 employed in marketing.

This means that:

5/(5+14) = 5/19 of people work in sales.

14/(5+14) = 14/19 of people work in marketing.

Total of 209 people:

14*209/19 = 154

154 people work in marketing.

5*209/19 = 55

55 people work in sales.

Answer:

The correct one is 6 is 3 times as many as two.

Step-by-step explanation:

Answer:

cos(33) = 6/X

cos(33)*6= X

X= 5.03202340767254

rounded to the nearest tenth it is 5

therefore X= 5

The value of x in the given digram using trigonometry to the nearest tenth is 7.15.

The given image is a right triangle. A right triangle is a triangle that has three sides with one of the angles measuring 90 degrees.

Given an angle and the length of the adjacent side, we are to determine the value of the hypotenuse using cos.

Cos = adjacent / hypotenuse

cos 33 = 6 /h

h = 6 / cos 33

h = 6 / 0.83867

h = 7.15

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Answer:

1) They are not inverses

2) They are inverses

Step-by-step explanation:

We need to find the composition function between these functions to verify if these functions are inverses. If f[g(x)] and g[f(x)] are equal to x they are inverses.

1)

Let's find f[g(x)] and simplify.

[tex]f[g(x)]=\frac{1}{2}g(x)+\frac{3}{2}[/tex]

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

[tex]f[g(x)]=\frac{7}{2}-\frac{3}{4}x[/tex]

As f[g(x)] is not equal to x, these functions are not inverses.

2)

Let's find f[g(x)] and simplify.

[tex]f[g(n)]=\frac{-16+(4n+16)}{4}[/tex]

[tex]f[g(n)]=\frac{-16+4n+16}{4}[/tex]

[tex]f[g(n)]=\frac{4n}{4}[/tex]

[tex]f[g(n)]=n[/tex]

Now, we need to find the other composition function g[f(x)]

Let's find g[f(x)] and simplify.

[tex]g[f(x)]=4(\frac{-16+n}{4})+16[/tex]

[tex]g[f(x)]=-16+n+16[/tex]

[tex]g[f(x)]=n[/tex]

Therefore, as f[g(n)] = g[f(n)] = n, both functions are inverses.

I hope it helps you!  

Answer:

2x-7

Step-by-step explanation:

Answer:

24 for $13.99

Step-by-step explanation:

Find the cost of 1 for both deals.

6 for $6.99. Divide 6.99 with 6:

6.99/6 = 1.165

~$1.17 for one.

24 for $13.99. Divide 13.99 with 24:

13.99/24 = ~0.582

~$0.58 for one.

24 for $13.99 is the better deal, by ~59¢.

Answer:

Step-by-step explanation:

There are several sort of "obvious" properties of equality/congruence. Keeping them sorted out can be a bit of a trick.

  A = A . . . . reflexive property

  A = B ⇔ B = A . . . . symmetric property (erroneously cited in the proof)

  A = B, B = C ⇒ A = C . . . . transitive property (the one needed in the proof)

__

Not to confuse the issue, but there is also the "substitution property of equality" that says if X = Y, then X can be substituted for Y or vice versa. In the end, the transitive property is an application of this, where we're substituting for B in the second equation, or for A in the first equation.

The A=B=C form of Statement 1) in the proof is what gives you the clue it is the transitive property that is wanted here.

Answer:

24

Step-by-step explanation:

I use the Pythagoras theorem.

[tex]\sqrt{a^{2} +b^{2} } =c^{2}[/tex]

[tex]4^{2}{x}6^{2} = c^{2}[/tex]

16 x 36= 576

[tex]\sqrt{576} = 24[/tex]