determina el dominio y el rango de las funciones representadas en cada grafica

Answer:

HG = 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos60° = [tex]\frac{1}{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{GI}{HG}[/tex] = [tex]\frac{\sqrt{2} }{HG}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

HG = 2[tex]\sqrt{2}[/tex]

Use trigonometry.

Angle H = 30 degrees

sin (30) = sqrt{2}/HG

HG = sqrt{2}/sin (30)

HG = 2.8284271248

HG = 2•sqrt{2}

The cosine is the ratio of the base and hypotenuse. Then the value of the cosine of angle P will be q / r.

The connection between the lengths and angles of a triangular shape is the subject of trigonometry.

The right-angle triangle PRQ is given in which angle R is a right angle.

Then the value of the cosine of angle P will be

The cosine is the ratio of the base and hypotenuse.

Then we have

cos P = q / r

More about the trigonometry link is given below.

https://brainly.com/question/22698523

#SPJ2

Answer:

Part A

The equation of the parabola in standard form is f(x) = 0.5·x² + x - 7.5

Part B

The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)

Step-by-step explanation:

The coordinates of the vertex of the parabola, (h, k) = (-1, -8)

The zeros of the parabola = -5, 3

Part A

The quadratic equation representing the parabola can be written as follows;

y = a·(x - h)² + k

The standard form of the equation is f(x) = a·x² + b·x + c

k = c - b²/(4·a)

h = -b/(2·a)

c = k + a·h² = -8 + a

From the zeros of the parabola, we have;

f(-5) = a × (-5)² + b×(-5) + c = 25·a - 5·b + c = 0

f(3) = a × (3)² + b×(3) + c = 9·a + 3·b + c = 0

Therefore, we have;

25·a - 5·b + c = 0...(1)

9·a + 3·b + c = 0...(2)

From which we have;

25·a - 5·b + c = 25·a - 5·b - 8 + a = 26·a - 5·b - 8 = 0

9·a + 3·b + c = 9·a + 3·b - 8 + a = 10·a + 3·b - 8 = 0

We then have;

26·a - 5·b = 8...(3)

10·a + 3·b = 8...(4)

Making 'b', the subject of both equations (3) and (4), equating the values, we find the value of 'a' as follows;

From equation (3), we have;

26·a - 5·b = 8

∴ b = (26·a - 8)/5

From equation (4), we have;

10·a + 3·b = 8

∴ b = (8 - 10·a)/3

From b = b, by transitive property, we have;

(26·a - 8)/5 = (8 - 10·a)/3

3 × (26·a - 8) = 5 × (8 - 10·a)

78·a - 24 = 40 - 50·a

∴ 128·a = 64

a = 64/128 = 1/2 = 0.5

a = 0.5

∴ b = (26·a - 8)/5 = (26 × 0.5  - 8)/5 = (13 - 8)/5 = 1

b = 1

c = -8 + a

∴ c = -8 + 0.5 = -7.5

c = -7.5

The equation of the parabola in standard form is therefore presented as follows;

f(x) = 0.5·x² + x - 7.5

Part B

The equation of the parabola in factored form is given as follows;

With the aid of a graphing calculator, we have;

f(x) = 0.5·x² + x - 7.5 = 0.5×(x² + 2·x - 15) = 0.5·(x + 5)·(x - 3)

The equation of the parabola in factored form is f(x) = 0.5·(x + 5)·(x - 3)

Answer:

One hour’s sleep before midnight is worth three after.

Answer: You may laugh or whatever but for that london one

Step-by-step explanation:

A beautiful city of night.

Answer:

4

Step-by-step explanation:

it takes 15 mins to do 1 mile (3 times 5) and 60 mins divided by 15 would be 4 . so 4 miles

Answer:

increase of 50%

Step-by-step explanation:

its increasing cuz 75 is more than 50 and its 50% cuz 75-50 is 25 so you know it increased by 25 meals so you need to find what percent 25 is of 50 and 25 is 50% of 50

Answer:

50%

Step-by-step explanation:

half of 50 is the same as 50% of 50

so...

25 = 50% of 50

therefore...

50 + 25 is the same as 50 + 50%

hope this helps

Step-by-step explanation:

you do 58.45 / 617.50 × 100 = 9.46%

hope this helps you

Answer:

d

Step-by-step explanation:

CAFDYahi Sahi answer hai bhai

Answer:

x > -1

Step-by-step explanation:

Open circle so the sign is not inclusive. The point is at -1 and goes to the right so it is more than.

Answer:

I thinks its D.

Step-by-step explanation:

Answer:

10 3/40

Step-by-step explanation: hope i helped

Answer:

1/2m - 4

Step-by-step explanation:

Answer:

do you need an equation? if so it would be 2x+40

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=3

y=2

x=7

y=2

Answer:

Step-by-step explanation:

Answer:

I think it is 73

Step-by-step explanation:

Because i tryed all of the other numbers and they didnt work

HOPE THIS HELP !!!!!!!!!!!!!!!! :)

Answer: 72.5

Step-by-step explanation:

The average of 2 points is the midpoint so if I add 70 and 75 to get 145 and divide by the number of numbers which is 2 I get 72.5

Step-by-step explanation:

We have to list the elements present in each set.

A = {multiples of 3 between 20 and 32}

A = {21, 24, 27, 30}

B = {odd numbers between 20 and 32}

B = {21, 23, 25, 27, 29}

C = {even numbers between 20 and 32}

C = {20, 22, 24, 26, 28, 30, 32}

a) list the members of A ∪ B

This means to select the elements of sets A and B

A ∪ B = {21, 23, 24, 25, 27, 29, 30}

b) list the members of A ∩ C

This means to only pick the elements that are present in both A and B

A ∩ C = {24, 30}

Answer:

Look at the graph bellow

Step-by-step explanation:

use the slope and y-intercept to graph.

Answer:

247.728

Step-by-step explanation:

(3.97)(62.4)

=247.728

Answer:

[tex]0.3 m = 12[/tex]

Step-by-step explanation:

See comment for complete question

Given

30% in 12 minutes

Required

Time to complete the homework

From the question: m represents the required minutes

This implies that:

[tex]30\% * m = 12[/tex]

Convert to decimal

[tex]0.30 * m = 12[/tex]

[tex]0.3 m = 12[/tex]

Hence:

The equation is: [tex]0.3 m = 12[/tex]

Let's solve for i.

54−(

1

7

y)(i)=9x−4

Step 1: Add -54 to both sides.

−1

7

iy+54+−54=9x−4+−54

−1

7

iy=9x−58

Step 2: Divide both sides by (-y)/7.

−1

7

iy−y7=

9x−58−y7i=

−63x+405y

Answer:i=

−63x+406y

Answer:

320 i think lol

Step-by-step explanation:

Answer:

3.56

Step-by-step explanation:

Answer:

2/4=4/8

Step-by-step explanation:

you do 2×2=4 and 4×2=8. You multiply both denominators by 2.

Answer:

100°

Step-by-step explanation:

Since x and the 100 degree angle which is highlighted in blue are vertical to each other, they are parallel to each other as it is vertically opposite angles.

If they are parallel, it means

Angle highlighted in blue = 100°

x = 100°