How do you find the two missing sides of an acute triangle?

Answer:

3

Step-by-step explanation:

Choose a variable to represent the number to be added to 5 and 3.

[tex]\frac{5+x}{3+x}=\frac{4}{3}[/tex]

"Cross-multiply."

[tex]3(5+x)=4(3+x)\\\\15+3x=12+4x\\\\15=12+x\\\\3=x[/tex]

Check:  The ratio of 5+3 to 3 + 3 is 8:6, equal to the ratio 4:3.

The vertical asymptotes are 2 and 3 and horizontal asymptotes is 2

An asymptote is a horizontal/vertical oblique line whose distance from the graph of a function keeps decreasing and approaches zero, but never gets there.

Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function.

Therefore, the denominator is x²-5x+6,

= x²-5x+6 = 0

using factorization method

x²-3x-2x+6 = 0

(x²-3x)(-2x+6) = 0

x(x-3) -2(x-3)

x-2 = 0 or

x-3 = 0

x = 2 or 3

The degree of the power of numerator and denominator are equal, there for the horizontal asymptote y = 2x²/x² = 2

therefore the vertical asymptote is x = 2and 3 and horizontal asymptote is y = 2

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9514 1404 393

Answer:

  (2x -1) by (x +5)

Step-by-step explanation:

We presume that the dimensions of the parking lot correspond to factors of the polynomial. The factorization is ...

  2x^2 +9x -5

  = 2x^2 +10x -x -5

  = 2x(x +5) -1(x +5)

  = (2x -1)(x +5)

Possible dimensions of the parking lot are (2x-1) and (x+5).

Answer:

G

Step-by-step explanation:

Given: (2, 4)

2 is the x coordinate, 4 is the y coordinate.

Answer: |x-5|

Step-by-step explanation:

I dont know how to exlplain it

Answer:

10^14

10^27

10^18

10^6

10^6

10^35

Step-by-step explanation:

all of them are in order

If two powers are being mulitplied from the same base, then they are multiplied. For example, if 10^3 is being multiplied to 10^2, then the answer is 10^6.

If a power is being raised to another power, then the powers are multiplied. For example (10^7)^2 then the a simple form would be 10^14

Exponents get added together when multiplied.

A. 10^9

B. 10^12

C. 10^9

D. 10^5

E.10^5

F.10^12

The prices where the quantity demanded is greater than quantity supplied are :

Quantity demanded refers to the amount of goods and services that people and businesses in an economy demand.

This amount of goods and services demanded will be more than the quantity supplied when the price of the good or service is less than the equilibrium price.

The equilibrium price here is $ 3 and so the prices less than $ 3 are $2, $1, and $ 0.

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Answer:

I believe Its 16

Step-by-step explanation: In Y=mx+b The y-intercept is always B which in this equation would be 16.

By algebra properties and trigonometric formulas, the roots x₁ = 30° + n · 360° and x₂ = 210° + n · 360° are solutions of trigonometric function tan x - √(1 - 2 · tan² x) = 0. (Correct choice: B)

In this problem we find a given trigonometric function, whose solution must be found by combining algebra properties and trigonometric formulas. First, write the entire expression:

tan x - √(1 - 2 · tan² x) = 0

Second, use algebra and root properties:

tan x = √(1 - 2 · tan² x)

tan² x = 1 - 2 · tan² x

3 · tan² x = 1

Third, clear x by algebra properties and inverse trigonometric properties:

tan² x = 1 / 3

tan x = √(1 / 3)

tan x = 1 / √3

tan x = √3 / 3

x = tan⁻¹ (√3 / 3)

x  = 30° or x = 210°

Since tangent function has a period of 2π (360°), then the solutions of the trigonometric function is:

x₁ = 30° + n · 360°, x₂ = 210° + n · 360°.

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Answer:

Its 22:40

Step-by-step explanation:

Answer: 22:40
Pretty simple

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) 6.2

2)12.4

3) 18.6

In one min Charlie can read is [tex]2\frac{1}{7}[/tex] pages at a constant rate.

A single unit's value may be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. We typically utilize this technique for math computations.

In the unitary technique, the value of a unit or one quantity is always counted first, and the values of additional or less quantities are subsequently determined. This approach is known as the unitary method for this reason. Due to the fact that they generate two distinct sorts of variations, there are two different types of unitary approaches.

In [tex]\frac{2}{3}[/tex] min Charlie can read [tex]1\frac{3}{7} = \frac{10}{7}[/tex] pages

In one min Charlie can read is: [tex]\frac{10}{7}*\frac{3}{2} = \frac{30}{14} = 2\frac{2}{14} =2\frac{1}{7}[/tex]

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Answer:

the answer is 225 square feet

Step-by-step explanation:

900÷4=225

Answer:

[tex]Area \ of \ square = l * l = l^2\\900 = l^2\\\sqrt{900} = l\\l = 30ft[/tex]

Since sides are equal both sides are 30ft each

Answer:2

Step-by-step explanation:

Answer:

203 dollars

Step-by-step explanation:

29 x 7

Answer:

? = 74°

Step-by-step explanation:

• in a parallelogram, consecutive angles sum to 180° , that is

? + 106° = 180° ( subtract 106° from both sides )

? ( ∠ G ) = 74°

Answer:

r = [tex]\sqrt{9}[/tex] or 3

Hope this helps!

Answer:

4.1 is 10 x 0.41

9.2 is 10x .92

Can I have brainliest?

Step-by-step explanation:

4.1 is ten times as much as 0.41

9.2 is ten times as much as 0.92

Zachary expects to make $40 + $7 x tt (number of tables) in a day when waiting on tt tables

If Zachary waits on 11 tables, he can expect to make an additional $7 in tips for each table, for a total of 11 tables * $7/table = $77 in tips.

When added to his guaranteed wage, Zachary can expect to earn $40 (guaranteed wage) + $77 (tips) = $117 for that day.

To calculate how much Zachary would expect to make in a day when waiting on tt tables, we can use the equation:

Earnings = $40 (guaranteed wage) + $7 (tips/table) x tt (number of tables)

So if tt represents the number of tables Zachary waits on, then he can expect to earn:

Earnings = $40 + $7 x tt

For example, if Zachary waits on 15 tables, he can expect to earn $40 + $7 x 15 = $190.

Zachary can use this equation to calculate his expected earnings for any number of tables he waits on in a day.

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The point (1, -2) is not a solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, the correct option is NO, the solution is (2.5, -2.6)

A system of equations are two (or more) equations that have common variables.

The system of equation is presented as follows;

20·x + 20·y = -2

2·x + 5·y = -8

The specified possible solution of the equation is; (1, -2)

Making y the subject of each of the equations, and plugging in the value of x = 1, for the first equation, we get;

20·x + 20·y = -2

20·y = -2 - 20·x

y = (-2 - 20·x)/20

Therefore; y = (-2 - 20 × 1)/20 = -1.1

When x = 1, y = -1.1, therefore, the point (1, -2), is not a solution to the first equation, 20·x + 20·y = -2

Evaluating the second equation, we get;

2·x + 5·y = -8

5·y = -8 - 2·x

y = (-8 - 2·x)/5

Plugging in x = 1, we get;

y = (-8 - 2 × 1)/5 = -2

When x = 1, y = -2, therefore, the point (1, -2), is a point on the graph of the second equation, 2·x + 5·y = -8, but it is not a solution to the system of equation

The solution to the system of equation, 20·x + 20·y = -2, 2·x + 5·y = -8, can by found by equating both expressions for y as follows;

y = (-2 - 20·x)/20 and y = (-8 - 2·x)/5

Therefore; (-2 - 20·x)/20 = (-8 - 2·x)/5

-10 - 100·x = -160 - 40·x

60·x = 150

x = 150 ÷ 60 = 2.5

x = 2.5

y = (-2 - 20 × 2.5)/20 = -2.6

y = -2.6

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The amount of snow on Peyton's lawn after 2 hours is 4 inches

amount of snow after t hours y = 8 - t

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

definition of variable to suit the problem

y = output variable = amount of snow remaking

m = slope = 1 inch per hour

x = input variable = number of hours

c = y intercept = 8 inches of snow on Peyton's lawn

The equation as described in the problem is represented using linear function as as follows

y = 8 - x

in 2 hours x = 2

y =8 - 2 = 4 inches

The quantity of snow after t hours

x = t

y = 8 - t

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Answer:

2 dolalrs

Step-by-step explanation:

Answer:

120p

Step-by-step explanation:

if its 80 per meter then all you do is multiply 80 by 1.5 (1.5m = 1m 30cm) and you get 120p simple as that

Would be amazing if you marked this brainliest :)

Answer:

1. slope: -2x

y-intercept:-2

2. slope:4x

y-intercept: 1

3. slope:-x

y-intercept: 4

4. slope: none

y-intercept: none

5. slope: 1/3x

y-intercept: 0

Step-by-step explanation:

1. equation

[tex]y = - 2x - 2[/tex]

2. equation

[tex]y = 4x + 1[/tex]

3. equation

[tex]y = - x + 4[/tex]

4. equation

[tex]x = - 2[/tex]

5. equation

[tex]y = - \frac{1}{3} x + 0[/tex]

I think the answer is 4. She my attached picture of my work! I hope this helps you,have a great day!

Answer:

[tex]gradient = 2 \\ y - intercept = 0[/tex]

The gradient of this line is 2 and the y-intercept is (0, 0)

Values of x and y in table does not represent a proportional relationship.

From the table x values 2, 3, 4 and 5 corresponds to values of y 5, 6, 7 and 8 respectively. The ratio of x value and y value is

2/ 5 = 0.4

3/ 6 = 0.5

4/ 6 = 2/ 3 ≈ 0.67

5/ 8 = 0.625

As the ratio is not constant, the values in table does not represent a directly proportional.

The value of xy is

2×5 = 10

3×6 = 18

4×7 = 28

5×8 = 40

Again as the value of xy is not constant, so they are not inversely proportionally.

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Answer:

(x-2)(x²+2x+4)(x-6)

Step-by-step explanation:

6 |  1  -6  0  -8  48

_____6_0_0_-48__

     1   0   0  -8  |  0

As we can see, our remainder is 0, so x-6 is indeed a factor of the polynomial. Also, we can see that the factored polynomial is [tex]x^4-6x^3-8x+48=(x^3-8)(x-6)=(x-2)(x^2+2x+4)(x-6)[/tex]