describe the relationship between the zeros of the quadratic function and linear factors of the expression

the golden ratio is denoted by which greek letter?

Φ phi

Answer:

y = 0, y = [tex]\frac{1}{3}[/tex], y = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

12y³ - 13y² + 3y = 0 ← factor out y from each term

y(12y² - 13y + 3) = 0

y(3y - 1)(4y - 3) = 0 ← in factored form

Equate each factor to zero and solve for y

y = 0

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

4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]

Answers:

x = angle MLN = 35 degrees

angle FLJ = 55 degrees

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Explanation:

This problem is fairly tricky if you're not sure what to look for. A slight clue is that they've marked a red point that strangely doesn't have a label on it. It's a fairly small point but it's definitely there if you look closely. While this point's location isn't exactly what we want, we're fairly close. Start at point L and draw a ray through the center point P. Ray LP will intersect the circle at point A, as shown in the diagram below.

From here, draw segments FA and MA. Now notice that inscribed angle LMF = 55 and inscribed angle FAL both subtend the same arc. The term "subtend" basically means "cut off". This arc that the inscribed angles subtend is minor arc FL. A minor arc is where you travel the shorter path around the circle, which indicates its measure is less than 180 degrees.

Since inscribed angles LMF and FAL subtend the same minor arc, this makes the inscribed angles to be congruent.

In short: angle FAL is 55 degrees

----------------------

Segment LA goes through the center P. Through Thales theorem, we know that inscribed angle LFA is 90 degrees. Consequently, we can determine that inscribed angle FLA is 90-55 = 35 degrees.

Segment JL is tangent to the circle, meaning that angle ALJ is 90 degrees. So angle FLJ is 90-35 = 55 degrees.

It's not a coincidence that angle FLJ, angle FAL, and angle LMF are the same measure.

----------------------

We found that angle FAL was 55 degrees. Applying Thales theorem again shows that angle MAF is 90 degrees. Therefore, angle LAM is 90-55 = 35 degrees.

Focus now on triangle LMA. This is also a right triangle (Thales Theorem). The upper acute angle we found was angle LAM = 35, so the lower acute angle is ALM = 55.

Then we can find angle MLN = (angle ALN) - (angle ALM) = 90 - 55 = 35

In short, angle MLN = 35 degrees

Similar to the previous section, it is not a coincidence that angles LFM, LAM and MLN are the same measure.

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As an alternative, since we know angle FLJ = 55, and angle FLM is 90 degrees, this means...

(angle FLJ)+(angle FLM) + (angle MLN) = 180

55 + 90 + angle MLN = 180

145 + angle MLN = 180

angle MLN = 180 - 145

angle MLN = 35 degrees

Answer:

[tex]\angle NPM[/tex]

Step-by-step explanation:

Given

Circle of center P

Polygon JKLMN

Required

The central angle of JKLMN

From the question, we have that: the polygon and the circle have the same center (P).

This means that any central angle must pass through P

By this, PMN and NJK are incorrect

QPK divides the polygon and point Q is not on the vertex of the polygon.

By this, QPK is also incorrect

The final option NPM is correct, because P is at the center and points N and M are at the vertices of the polygon

Answer:

(1,3)

Step-by-step explanation:

It is the intercept of the two lines

False. Obtuse is always greater than 90°.

Answer:

False

Obtuse triangles can't have right angles

Answer:

6 bc yes

Step-by-step explanation:

Answer:

[tex]\frac{40}{28} =\frac{20}{14} =\frac{10}{7}[/tex]

Step-by-step explanation:

[tex]\frac{40}{28} =\frac{20}{14} =\frac{10}{7}[/tex]

first divide both the numerator and the dnominator by 2,

then by 4.

Answer:

60

Step-by-step explanation:

substitute x=8

f(8)=(8)2-4=60

Answer:

60

Step-by-step explanation:

f(x) = x² - 4

f(8) = (8)² - 4 = 64 - 4 = 60

Answer:

Exponential

Step-by-step explanation:

Answer:

≈ 20.8 ft

Step-by-step explanation:

A right triangle is formed between the wall, the ground and the ladder.

The ladder is the hypotenuse , the wall and ground are the legs.

let h be the height of the wall, then using Pythagoras' identity

h² + 33² = 39²

h² + 1089 = 1521 ( subtract 1089 from both sides )

h² = 432 ( take the square root of both sides )

h = [tex]\sqrt{432}[/tex] ≈ 20.8 ft ( to the nearest tenth )

Answer:

D)

Step-by-step explanation:

or, x=180

or,34=180

or,180-34

or x=146

Now,

or, y=146

or,18=146

or146-18

or, y=128

there is x is 34 and its all side angle is 180 degree So put x =180 and then put x value is 34 =180 and there is no values in front of 34 so there will be + and if +so in another side it will be - and then after put 180-34=146

Answer:

x = 2

Step-by-step explanation:

Answer:

i cant see it

Step-by-step explanation:

Answer:

11) C

14) B

Step-by-step explanation:

11) find the y-int (4) and slope (-4)

14) Complete the pattern for the table 4-20 ; 5-25 and for the graph, look for the y value when x is at 5 (20) so NY will have more snowfall.

Answer:

mad symmetric without

Step-by-step explanation:

Question:

Discus the advantages and disadvantages of histograms versus stem-and-leaf plots

Answer:

C. Stem-and-leaf plots are easier to make and and can contain more information than histograms. However, they are not very useful for large data sets

Step-by-step explanation:

A stem and leaf plot is a graphical presentation of quantitative data similar to an histogram. However, a stem and leaf plot retains and present the values of the original in the data set such that individual data values can be seen and can then be used to make analysis

The stem and leaf plot consists of a stem and a leaf  arranged in the order of place value, such that the numbers having a common highest place value are arranged on a row in a stem and leaf plot and therefore a stem and leaf plot is easier to make or construct than an histogram

However, it is very rare to find stem and leaf plots having more than 50 datasets or observations.

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Expression is equivalent to 64y¹⁸ - 1000z⁶ : (4y⁶)³- (10z²)³

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Answer:

C

Step-by-step explanation:

Answer:

go on MATH.WAY. it'll give you the answer and explanation. hope it help

Step-by-step explanation:

:)))

Answer:

try just 10. without the (-)

Answer:

R=3rad2

Step-by-step explanation:

Area of circle: pi r^2

72pi=pir^2

r^2=72

r=6rad2

Answer:

[tex]\sqrt{3}[/tex] = m

Step-by-step explanation:

So we can say;

Tan(30) = m/3

=> Tan(30) * 3 = m

=> [tex]\sqrt{3}[/tex] = m

Hope this helps!

Annually compoudning interest formula

PV(1+i)ⁿ

4000(1+.0775)¹⁰=8437.869021

which rounds to

$8437.87

If you were to do this on a financial calculator it would look like this:

N=10

I/Y=7.75

PV=4000

PMT=0

CMPT FV = same answer

Answer:

I got that it was 68.2mm.

Step-by-step explanation:

Option A is correct, the length of the hypotenuse of the triangle is  68.2 mm.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

In a right triangle, the cosine of an angle is defined as the ratio of the adjacent side to the hypotenuse. That is:

cos(θ) = adjacent/hypotenuse

We know that cos(θ) = 0.755 and the length of the adjacent side is 51.5 mm.

Let's denote the length of the hypotenuse by "h".

Then we can solve for "h" as follows:

cos(θ) = adjacent/hypotenuse

0.755 = 51.5/h

h = 51.5/0.755

h = 68.21 mm

Therefore, the length of the hypotenuse of the triangle is approximately 68.2 mm.

To learn more on trigonometry click:

https://brainly.com/question/25122835

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