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3 years ago

If angle 2 = 48, determine the measure of angle 5.

Mathematics

1 answer:

Hatshy [7]3 years ago

6 0

Answer:

Angle 2 = 48

we are going to divide 48 by 2 to get the Angle 1

Angle 1 = 24

then Angle 5 = (5×24)

Angle 5 = 120

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When x = a is a zero of a polynomial function f, the three statements below are true.

Lunna [17]

Answer:

x = a is a zero of a polinomial f(x), this is the same than: f(x) has a root at x = a

Then: f(a) = 0.

a) x = a is a ____ of the polynomial equation f(x) = 0.

If we define f(x) = 0, then x = a is a solution of the equation.

Then the complete sentence is:

x = a is a solution of the polynomial equation f(x) = 0.

b) ____ is a factor of the polynomial f(x).

Remember that if a polynomial p(x) of degree n has the roots x₁, x₂, ..., xₙ

Then we can write p(x) in the factorized form as:

p(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)

Where A is a real number.

Then if in this case we know that a is a root of f(x), then (x - a) is a factor of the polynomial f(x), then the complete sentence is:

(x - a) is a factor of the polynomial f(x).

c) (a, 0) is a ____ of the graph f(x)

We usually use the notation y = f(x).

Then the points of the form (x, f(x)) are the points that belong to the graph of f(x).

In this case, the point (a, f(a)) = (a, 0)

This point belongs to the graph of f(x), then the complete sentence can be written as:

(a, 0) is a point of the graph f(x).

4 0

2 years ago

Y = (x)^(1/9)*Find f(x) when x=(1/2)Round your answer to the nearest thousandth.

Verizon [17]

We are given a function f ( x ) defined as follows:

$y=f(x)=x^{\frac{1}{9}}$

We are to determine the value of f ( x ) when,

$\times\text{ = }\frac{1}{2}$

In such cases, we plug in/substitue the given value of x into the expressed function f ( x ) as follows:

$y\text{ = f ( }\frac{1}{2}\text{ ) = (}\frac{1}{2})^{\frac{1}{9}}$

We will apply the power on both numerator and denominator as follows:

$f(\frac{1}{2})=\frac{1^{\frac{1}{9}}}{2^{\frac{1}{9}}}\text{ = }\frac{1}{2^{\frac{1}{9}}}$

Now we evaluate ( 2 ) raised to the power of ( 1 / 9 ).

$f\text{ ( }\frac{1}{2}\text{ ) = }\frac{1}{1.08005}$

Next apply the division operation as follows:

$f\text{ ( }\frac{1}{2})\text{ = }0.92587$

Once, we have evaluated the answer in decimal form ( 5 decimal places ). We will round off the answer to nearest thousandths.

Rounding off to nearest thousandth means we consider the thousandth decimal place ( 3rd ). Then we have the choice of either truncating the decimal places ( 4th and onwards ). The truncation only occurs when (4th decimal place) is < 5.

However, since the (4th decimal place) = 8 > 5. Then we add ( 1 ) to the 3rd decimal place and truncate the rest of the decimal places i.e ( 4th and onwards ).

The answer to f ( 1 / 2 ) to the nearest thousandth would be:

$\textcolor{#FF7968}{f}\text{\textcolor{#FF7968}{ ( }}\textcolor{#FF7968}{\frac{1}{2})}\text{\textcolor{#FF7968}{ = 0.926}}$

6 0

11 months ago

I just need help with 3-6 (explain answers please)

antiseptic1488 [7]

Answer:

3-6=3

Step-by-step explanation:

8 0

3 years ago

Help! given 2(x-9)=-10 prove x=4 with statements and reasons

Sedbober [7]

Step-by-step explanation:

Proof:

2 ( x - 9) = - 10 when x = 4

2 ( 4 - 9) = -10

8 - 18 = -10

-10 = -10 ..........hence proven

Reasons 

- When you replace X with 4, you can clearly see that the equation is equal to -10.

sorry I couldn't answer accurately, but I hope this helps

8 0

2 years ago

Pls answer and thanks!!

Keith_Richards [23]

Answer:

Problem:

Solve 3x−y=6;y=x−4

Steps:

I will try to solve your system of equations.

y=x−4;3x−y=6

Step: Solvey=x−4for y:

Step: Substitutex−4foryin3x−y=6:

3x−y=6

3x−(x−4)=6

2x+4=6(Simplify both sides of the equation)

2x+4+−4=6+−4(Add -4 to both sides)

2x=2

(Divide both sides by 2)

x=1

Step: Substitute1forxiny=x−4:

y=x−4

y=1−4

y=−3(Simplify both sides of the equation)

Answer:

y=−3 and x=1

Step-by-step explanation:

Hope this helped you

3 0

2 years ago

Read 2 more answers