3. Given: AE is a tangent of OO
m/FAE = 85
m AB= 40
m BC= 16
m CD= 10
m212=55
mZGAK = 75

Answer:

A polynomial function f of least degree  = f = x³ - 7x² + 36

The function in standard form = f = x³ - 7x² + 36

Step-by-step explanation:

As given, Leading coefficient of polynomial function = 1

Also given, zeroes of the function = -2, 3, 6

for root -2 : (x - (-2)) = (x + 2)

for root 3 : ( x - 3)

for root 6 : (x - 6)

Therefore, the polynomial function becomes -

f = 1(x+2)(x-3)(x-6)

⇒f = (x+2)(x² - 6x - 3x + 18)

⇒f = (x+2)(x² - 9x + 18)

⇒f = x³ - 9x² + 18x + 2x² - 18x + 36

⇒f = x³ - 7x² + 36

The polynomial function in standard form is \(f(x) = x^3 - 8x^2 +9x +18\)

The zeros of the polynomial are given as:

\(Zeroes = -2,3,6\)

Rewrite as:

\(x= -2,3,6\)

Express the zeroes as an equation

\(x= -2\),  \(x =3\) and \(x =6\)

Equate to 0

\(x + 2 = 0\), \(x -3 = 0\) and \(x -6 = 0\)

Multiply the equations

\((x + 1) \times (x - 3) \times (x - 6) = 0 \times 0 \times 0\)

\((x + 1) \times (x - 3) \times (x - 6) = 0\)

Expand

\((x^2 - 3x + x - 3) \times (x - 6) = 0\)

\((x^2 - 2x - 3) \times (x - 6) = 0\)

Expand

\(x^3 - 2x^2 - 3x -6x^2 +12x +18 = 0\)

Collect like terms

\(x^3 - 2x^2 -6x^2 - 3x +12x +18 = 0\)

\(x^3 - 8x^2 +9x +18 = 0\)

Express as a function

\(f(x) = x^3 - 8x^2 +9x +18\)

Hence, the function in standard form is \(f(x) = x^3 - 8x^2 +9x +18\)

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Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

Answer:

Joshua add under roots which is wrong

√14+√14+√14 is not equal to √42

√14+√14+√14 = 3√14

Answer: 9n - 2

Step-by-step explanation:

just think about it

Answer:

9n-2

Step-by-step explanation:

See attachment

The three statements that are true include the following:

A. The radius of the circle is 3 units.

B. The center of the circle lies on the x-axis.

D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;

(x - h)² + (y - k)² = r²   .......equation 1.

Where:

h and k represents the coordinates at the center of a circle.

r represents the radius of a circle.

Based on the information provided, we have the following equation of a circle:

x² + y² – 2x – 8 = 0      ......equation 2.

In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:

x² – 2x + y² = 8 = 0

x² – 2x + (2/2)² + y² = 8 + (2/2)²

x² – 2x + 1 + y² = 8 + 1

(x – 1)² + (y - 0)² = 9         .......equation 3.

By comparing equation 1 and equation 3, we have the following:

Center (h, k) = (1, 0)

Radius (r) = 3

Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).

(x - 0)² + (y - 0)² = 3²

x² + y² = 9.

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Answer:

Step-by-step explanation:

Answer: 72.36

Step-by-step explanation:

To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.

The initial amount of salt in the bowl was 59.16 grams.

Omar added 13.2 grams of salt to the bowl.

To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36

Therefore, the bowl contains 72.36 grams of salt now.

Answer:

Step-by-step explanation:

Without the graph, I cannot see the specific details of the situation, but I can provide a general explanation of what an x-intercept represents.

An x-intercept is a point on the graph where the function or curve intersects the x-axis. In other words, it is the point where the value of the function is equal to zero. In the context of a distance-time graph for a car traveling for 8 hours, the x-axis would represent time and the y-axis would represent distance.

If there is a second x-intercept on the graph, it means that the car has returned to its starting position for a second time. The first x-intercept would represent the time at which the car reaches its destination or turns back around, and the second x-intercept would represent the time at which the car returns to its starting position.

Therefore, the second x-intercept would represent the total time the car spent traveling, including the time it took to return to its starting position for the second time.

Answer: T

Step-by-step explanation:

cuz i practice geometry.

Answer:

20 5/7 Mixed Number

Hope this helps!! :)

Answer:

So if PT=TQ and TQ=7x-9

PT=5x+3=TQ=7x-9

5x+3=7x-9

minus 5x both sides

3=2x-9

add 9 both sides

12=2x

divide 2

6=x

PT=5x+3

PT=5(6)+3

PT=30+3

PT=33

PT=QT=33

x=6

with help from heliy02

Step-by-step explanation:

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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\(-6x < 21\)

Divide both sides by -6:

\(\dfrac{-6x}{-6} < \dfrac{21}{-6}\)

\(x > -\dfrac{7}{2}\), \(x > -3.5\)

Answer:

3/16 of her garden are red roses

she was not correct, 2/4 is not equal to 3/16

Step-by-step explanation:

3/4 garden are roses

1/4 of those are red  (1/4 of 3/4)

3/4 (1/4) = 3/16 of her garden are red roses

Answer:

Yes she is correct because if you have the 3/4 u still have 1/4 un planted an then she adds the 1/4 an that would make it 2/4.

Step-by-step explanation:

hope this helps

Yes, because for each input there is exactly one output. Therefore, the relation represented by the mapping diagram is a function.

To determine if the relation represented by the given mapping diagram is a function, we need to check if each input (x value) has exactly one output (y value) associated with it.

From the given mapping diagram, we can see that:

The input value -3 is associated with the output value 0.

The input value -1 is associated with the output value 2.

The input value 1 is associated with the output value 0.

The input value 3 is associated with the output value 2.

The input value 5 is associated with the output value 5.

As we can see, each input value has exactly one output value associated with it. Therefore, the relation represented by the mapping diagram is a function.

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Answer:

602

Step-by-step explanation:

Answer:

2x ( -3x + 14)

Step-by-step explanation:

Distribution property is used in a format like a ( b + c ). To simplify these kinds of expressions, we multiply the outside term by each of the inside terms. So in this instance, a ( b + c ) is equal to ab + ac.

3x ( 2x - 8 ) + 4x

Let's use what we learned above, and multiply the outside term (-3x) by each of the inside terms.

-3x · 2x + (-3x) · (-8) +4x

Simplify by multiplication:

-6x² + 24x +4x

Finally, we add:

-6x² +28x

Now, to simplify further, we can look for terms that show up in numbers.

We can see that the variable x is present in each of the terms, so we can factor that out, removing it from the term as follows:

x ( -6x + 28)

We can look and see that 2 is also a common factor between the two terms, so we can take that out too.

2x ( -3x + 14)

This is the most simplified it can get.

Answer:

Volume of the pyramid =  927.72 m² (Approx)

Step-by-step explanation:

Given:

Length of base = 16.6 m

Height of the pyramid = 10.1 m

Find:

Volume of the pyramid = ?

Computation:

Area of the square base = Side²

Area of the square base = (16.6)²

Area of the square base = 275.56 m²

\(Volume\ of\ the\ pyramid = \frac{1}{3}(Area\ of\ base)(Height)\\\\Volume\ of\ the\ pyramid = \frac{1}{3}(275.56)(10.1)\\\\Volume\ of\ the\ pyramid = 927.7186\)

Volume of the pyramid =  927.72 m² (Approx)

Look at the attached picture

Hope it will help you

Answer:

\(\triangle TRS\ congruent\ to\ \triangle ZYX\\\)

Step-by-step explanation:

\(Lets\ consider\ \triangle TRS\ and\ \triangle ZYX\\Hence,\\TR=ZY\\TS=ZX\\RS=XY\\Hence,\\The\ SSS\ Congruency\ Tells\ us:\\'If\ three\ sides\ of\ one\ triangle\ corresponds\ to\ the\ three\ sides\ of\ the\\ other\ the\ triangles\ are\ congruent'\\Hence,\\\triangle TSR\ is\ congruent\ to\ \triangle ZYX.\\Note: We\ cannot\ apply\ SSS\ Congruency\ between\ \triangle TSR/ZYX\\ and\ \triangle HIJ\ as\ HI\ isn't\ equal\ to\ any\ of\ the\ sides\ in\ \triangle TSR/ZYX\)

After answering the presented question, we can conclude that This is equation true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3): a = 30.8/(11n+3)

An equation in mathematics is a statement that states the equality of two expressions. An equation is made up of two sides that are separated by an algebraic equation (=). For example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpose of equation solving is to determine the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complicated, regular or nonlinear, and include one or more elements. The variable x is raised to the second power in the equation "x2 + 2x - 3 = 0." Lines are utilised in many different areas of mathematics, such as algebra, calculus, and geometry.

We are given that the factored form of 30.8n+8.4 is a(11n+3).

To find the value of a, we can expand the product a(11n+3) and equate it to the given expression 30.8n+8.4.

Expanding a(11n+3), we get:

a(11n+3) = 11an + 3a

Equating this to 30.8n+8.4, we have:

11an + 3a = 30.8n + 8.4

We can factor out an "a" from the left-hand side:

a(11n + 3) = 30.8n + 8.4

Now we can see that this is the same as the given factored form, so we can equate the two expressions:

a(11n + 3) = a(11n + 3)

This is true for all values of a and (11n+3), so we can conclude that the value of "a" is simply 30.8 divided by (11n+3):

a = 30.8/(11n+3)

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Step-by-step explanation:

I think its c cus its more relatable .

Answer:

c would be the answer.

when you answer the equation x - 15= 60

you would add 15 to 60 to get 75. That is the only answer that would make sense.

Answer:

0.707106781187

Step-by-step explanation:

I recommend using the website desmos

The experimental probability that the next spin falls in a black region is given as follows:

0.205 = 20.5%.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

205 out of the previous 1000 trials fell in the black region, hence the experimental probability is given as follows:

p = 205/1000

p = 0.205.

p = 20.5%.

The problem asks for the experimental probability that the next spin falls in a black region.

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Answer:

câu này là 500 nhen

Answer:

x = \(c^{4}\) - b

-Amaya

Answer:

work is shown and pictured

The factor of the equation x² - 9x + 14 is,

⇒ (x - 2)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation is,

⇒ x² - 9x + 14

Now, We can find the factor of the expression as;

⇒ x² - 9x + 14

⇒ x² - 7x - 2x + 14

⇒ x (x - 7) - 2 (x - 7)

⇒ (x - 7) (x - 2)

Thus, The factor of the equation x² - 9x + 14 is,

⇒ (x - 2)

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The Equation of bisector 5x-7y+3=0 which is a straight line.

A straight line that divides an angle of a triangle in equal value.

The line that lies perpendicular to a side and goes through the midpoint of its length.

Given, coordinate H (-7,2), K (3, -4) and L (5,4)

we plot a triangle HKL with this point.

midpoint of side HK is found by (-7+3)/2 and (2-4)/2

hence, midpoint of HK is (-2,-1) is denoted by P

the perpendicular bisector of side HK means a straight line from the midpoint of HK to the point L(5,4). The bisector line PL divide the angle HLK.

so, the equation of bisector is y-y₁ = (y₂-y₁)/(x₂-x₁)[x-x₁] because the bisector line passes through the point P(-2,-1) and L(5,4)

  y-(-1) = [4-(-1)]/[5-(-2)]× [x-(-2)]

y+1 = 5/7×(x+2)

7y+7= 5x+10

5x-7y+3=0

hence, the equation of bisector is 5x-7y+3=0

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