write an equation for the graph using point-slope form

The values of the variables in number 3, in simplest radical form, are:

f = 6;  o = 3.

The simplest radical form, also known as simplified radical form or simplified surd, refers to expressing a square root (√) or other roots in the simplest possible way without any perfect square factors in the root. In other words, it involves reducing the radical expression to its simplest form.

Solving problem 3, we would apply the necessary Trigonometric ratios to find the variables:

sin 60 = opp/hyp

sin 60 = 9√3 / f

f = 9√3 / sin 60

f = 9√3 / √3/2 [sin 60 = √3/2]

f = 9√3 * 2/√3

f = 18/3

f = 6

tan 60 = opp/adj

tan 60 = 9√3 / o

o = 9√3 / tan 60

o = 9√3 / √3 [sin 60 = √3]

o = 9√3 * 1 / √3

o = 9/3

o = 3

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Answer:

o = 9

f = 18

Step-by-step explanation:

Triangle #3 is a right triangle with two of its interior angles measuring 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, this triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #3, the longest leg is 9√3 units.

As "a√3" is the shortest leg, the scale factor "a" is 9.

The side labelled "o" is the shortest leg opposite the 30° angle. Therefore:

\(o = a=9\)

The side labelled "f" is the hypotenuse of the triangle. Therefore:

\(f= 2a = 2 \cdot 9=18\)

Therefore:

Answer:

C

Step-by-step explanation:

Answer:

2 2/5

Step-by-step explanation:

Follow these steps to get a mixed number:

Divide 12 by 5. The quotient is 2 and the remainder is 2. The divisor remains 5. 12/5 in mixed fraction is 2 2/5

Hence, 12/5 can be written as a mixed number 2 2/5.

Answer:

A is the correct graph of the parent function y=x^2

Step-by-step explanation:

While D is the graph of y=x^2+3, it is asking for the parent function. The parent function would be y=x^2 where no transformations have occurred, making A the correct graph

Answer:

(888)

Step-by-step explanation:

okay u stupi if u ont kno jkjk i ont kno byee

Answer:

50.24

Step-by-step explanation:

8÷2 is the radius. 3.14×4^2=50.24 m^2

^= where the exponent is supposed to go

Find the area and the circumference of a circle with diameter 8 m .

1)

\( \pink{\boxed{ \sf{Area \: of \: circle = \pi r {}^{2} }}}\)

2)

\( \pink{\boxed{\sf{Circumference of circle = 2\pi r}}}\)

We know that radius of circle is always halves of its diameter . So radius of circle :

1) Finding area :

Therefore, area of circle is 50.24 m² .

2) Finding circumference :

Therefore, circumference of circle is 25.02 m

Answer:

62390

Step-by-step explanation:

you have to round up if it's 5 or more and round down if it's less.

Answer:

10

Step-by-step explanation:

hdgjjgggughggugfcghfxxgh

The nth term in an arithmetic sequence is given by n = a + (n - 1) * d, where a is the first term in the sequence, and d is the common difference, given by the expression 2nd term - 1st term = 3rd term - 2nd term = nth term - (n - 1)th term.

So,

n = 1 + (n - 1) * (7 - 1)

n = 1 + (n - 1) * 6

n = 1 + 6n - 6

Take like terms,

n - 6n = 1 - 6

-5n = -5

n = 1,

So the nth term is equal to 1

Answer:

  9.2

Step-by-step explanation:

You want the distance between A(2, 0) and B(0, 9).

The distance formula is based on the Pythagorean theorem. It tells you the distance between (x1, y1) and (x2, y2) is ...

  d = √((x2 -x1)² +(y2 -y1)²)

For the given points, this becomes ...

  d = √((0 -2)² +(9 -0)²) = √(4+81) = √85

  d ≈ 9.2

The distance between A and B is about 9.2 units.

?Step-by-step explanation:

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{-11})\hspace{10em} \stackrel{slope}{m} ~=~ 4 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-11)}=\stackrel{m}{ 4}(x-\stackrel{x_1}{(-3)}) \implies y +11 = 4 ( x +3) \\\\\\ y+11=4x+12\implies {\Large \begin{array}{llll} y=4x+1 \end{array}}\)

The equation is:

Work/explanation:

Recall that the point slope formula is \(\rm{y-y_1=m(x-x_1)}\),

where m is the slope and (x₁, y₁) is a point on the line.

Plug in the data:

\(\rm{y-(-11)=4(x-(-3)}\)

Simplify.

\(\rm{y+11=4(x+3)}\)

Simplified to slope intercept:

\(\rm{y+11=4x+12}\)

\(\rm{y=4x+1}\) <- this is the simplified slope intercept equation

Answer:

725.623

Step-by-step explanation:

547.40:?

43 :57

?=547.40×57÷43

Answer:

40π inches

Step-by-step explanation:

What is the formula for the circumference of a circle?

The formula for the circumference of a circle is:

(where C is the circumference and r is the radius)

If the radius of the circle is 20 inches, then its circumference in terms of π would be:

Therefore, the circumference of a circle when the radius is 20in is 40π inches.

Answer:

C = 40π

Step-by-step explanation:

To calculate the circumference of a circle, we will use the formula

C = 2πr

And we're asked to find C in terms of pi.

So all I need to do is plug in 20 for the radius, and then multiply.

I plug in 20 for the radius, r:      C = 2π × 20

Multiply:                                       C = 40π

Therefore, C = 40π.

Answer:

it would be what they said

Step-by-step explanation:

so sorry i need 50 pts

Answer:

Oh this is easy 24

Step-by-step explanation:

2x4=8x3=24

Option a: Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price

Given,

Braxton’s average monthly usage of lotion = 8 ounces

The amount of two different brands of lotion are given:

Brand A: 24 ounces for $3.30

Brand B: 40 ounces for $4.60

We have to find the monthly savings of Braxton if he purchases the brand that has the lowest price per ounce versus the highest price:

We have to calculate amount for one ounce for the two brands given:

Brand A:

24 ounces for $3.30

Amount for one ounce = 3.30/24

Amount for one ounce = $0.1375

Brand B:

40 ounces for $4.60

Amount for one ounce = 4.60/40

Amount for one ounce = $0.115

Now, we have to calculate the amount for 8 ounces.

Brand A:

8 x 0.1375 = 1.1

$1.1 for 8 ounces of Brand A lotion.

Brand B:

8 x 0.115 = 0.92

$0.92 for 8 ounces of Brand B lotion.

Now, we have to calculate the savings:

Brand A – Brand B

1.1 – 0.92 = 0.18

That is, Broxton have a monthly savings of $0.18 if he purchases the brand that has the lowest price per ounce versus the highest price.

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Answer:

Factors can be defined as a number or algebraic expression which divide the dividend without leaving any reminder.

The number of codes that can be made using the 5 letters given is 120 as calculated using permutation and combination.

Now when no letters are repeated:

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 3 options , fourth digit has 2 options and the final digit will have only 1 option left.

So total number of codes = 5 × 4 × 3 × 2 × 1 = 120 codes

if letters can be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 5 options , third digit has 5options , fourth digit has 5 options and the final digit will have only 5 options also.

So total number of codes = 5 × 5 × 5× 5× 5= 3125 codes

if adjacent letters cannot be repeated

5 letter codes to be made.

Possible options for each space = 5

so first digit has 5 options, second digit has 4 options , third digit has 4 options , fourth digit has 4 options and the final digit will have only 4 options also.

So total number of codes = 5 × 4 × 4× 4× 4 = 1280 codes

Hence the total number of codes as calculated by permutation and combination is 1280.

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Given:

In ΔOPQ, m∠Q=90°, m∠O=26°, and QO = 4.9 feet.

To find:

The measure of side PQ.

Solution:

In ΔOPQ,

\(m\angle O+m\angle P+m\angle Q=180^\circ\)        [Angle sum property]

\(26^\circ+m\angle P+90^\circ=180^\circ\)

\(m\angle P+116^\circ=180^\circ\)

\(m\angle P=180^\circ -116^\circ\)

\(m\angle P=64^\circ\)

According to Law of Sines, we get

\(\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}\)

Using the Law of Sines, we get

\(\dfrac{p}{\sin P}=\dfrac{o}{\sin O}\)

\(\dfrac{QO}{\sin P}=\dfrac{PQ}{\sin O}\)

Substituting the given values, we get

\(\dfrac{4.9}{\sin (64^\circ)}=\dfrac{PQ}{\sin (26^\circ)}\)

\(\dfrac{4.9}{0.89879}=\dfrac{PQ}{0.43837}\)

\(\dfrac{4.9}{0.89879}\times 0.43837=PQ\)

\(2.38989=PQ\)

Approximate the value to the nearest tenth of a foot.

\(PQ\approx 2.4\)

Therefore, the length of PQ is 2.4 ft.

Andre borrowed 350,000 from the bank and the bank will charge him 6% interest per month. To calculate the amount he has to pay for one month of interest, we can use the following formula:

Interest = Capital * Interest rate

In this case, the capital is 350,000 and the interest rate is 6%. So, we can plug in the values:

Interest = 350,000 * 0.06

Interest = 21,000

Therefore, Andre has to pay 21,000 for one month of interest.

The values of a and b are a = -3 and b = 42. The solutions for x can be written as:

x = -3 - √42

x = -3 + √42

To solve the quadratic equation 2x² + 12x = 66 by completing the square, we need to follow these steps:

Step 1: Move the constant term to the right side:

2x² + 12x - 66 = 0

Step 2: Divide the equation by the leading coefficient (2):

x² + 6x - 33 = 0

Step 3: To complete the square, we take half of the coefficient of x, square it, and add it to both sides of the equation:

x² + 6x + (6/2)² = 33 + (6/2)²

x² + 6x + 9 = 33 + 9

x² + 6x + 9 = 42

Step 4: Rewrite the left side as a perfect square:

(x + 3)² = 42

Step 5: Take the square root of both sides:

√(x + 3)² = ±√42

x + 3 = ±√42

Step 6: Solve for x:

x = -3 ± √42.

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Answer:

a) 53.33 miles per hour

b) 1.7 pages per minute

c)2.25 $ per avocado

Step-by-step explanation:

a) 320/6 = 53.33333

b) 68/40 = 1.7

c) 27 /12 = 2.25

Answer:

Yes, they are equalent

Step-by-step explanation:

12:14 = 6:7

60:70 =6:7

both can be simplified to 6:7

The measure of m∠D will be 36 degrees

A triangle is a shape with 3 sides and angles

For the △BCD, since the side DB ≅ CD, then the base angles will also be equal. This shows that the triangle is an isoscecles triangle.

Given that m∠C = 36 degrees, hence the measure of m∠D will be 36 degrees

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Answer:

Step-by-step explanation:

Line A: y = 4

x can be anything greater than or equal to 0.

Line B: x = 8

y can by anything greater than or equal to 0.

The comments below the line answer do not have to be there. They are made so you can understand the question better.

Answer:

Step-by-step explanation: