SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)

Answer:

Step-by-step explanation:

The vertex form of  the equation of the parabola with vertex (h, k)  is:

f(x) = a(x - h)² + k

So for vertex (3, 6) it will be:

f(x) = a(x - 3)² + 6

y intercept: 2 means  f(0) = 2

f(0) = a(0 - 3)² + 6

2 = a(-3)² + 6

2 -6 = 9a + 6 -6

-4 = 9a

a = ⁻⁴/₉

Therefore:

The vertex form of quardatic function with vertex: (3,6) and y intercept: 2 is

                             f(x) = - ⁴/₉(x - 3)² + 6

The vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The vertex: (3,6) and y-intercept: 2

As we know,

The parabola equation:

f(x) = a(x - h)² + k

Here (h, k) is the vertex of the parabola and a is the leading coefficient.

f(x) = a(x - 3)² + 6

f(x) =  2 at x = 0

2 = a(0 - 3)² + 6

a = -4/9

f(x) = -4/9(x - 3)² + 6

Thus, the vertex form of the parabola equation is f(x) = -4/9(x - 3)² + 6 if the vertex: (3,6) and y intercept: 2

Learn more about the parabola here:

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Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

-5y = -3x +6

Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

9514 1404 393

Answer:

  5x +3y = -40

Step-by-step explanation:

When the equation of a line is given in standard form, the equation of the perpendicular line can be found by swapping the coefficients of x and y, and negating one of them.

Here, that means the equation ...

  3x -5y = constant

becomes

  5x +3y = new constant

The value of the new constant is found by putting the given point coordinates in the expression on the left:

  5x +3y = 5(-8) +3(0) = -40

The equation of the perpendicular line is ...

  5x +3y = -40

Answer:

Step-by-step explanation:

Rewrite  

9

x

2

as  

(

3

x

)

2

.

(

3

x

)

2

−

16

Rewrite  

16

as  

4

2

.

(

3

x

)

2

−

4

2

Since both terms are perfect squares, factor using the difference of squares formula,  

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

where  

a

=

3

x

and  

b

=

4

.

(

3

x

+

4

)

(

3

x

−

4

)

Answer:

et's start by defining the three consecutive integers.

.

If x represents the least of the three, then the next consecutive integer is x+1 and the

next consecutive integer is 1 more than that ... or x + 2

.

So the three consecutive integers are x, x+1, and x+2.

.

Twice the least integer is, as you correctly wrote, 2x.

.

12 more than the greatest integer is x+2 + 12 = x + 14

.

Since these two amounts must be equal, you can write:

.

2x = x + 14

.

Now you need to get rid of the x on the right side so that you end up with all the terms

containing x on one side of the equation and everything else on the other side. You can

get rid of the x on the right side by subtracting x from the right side. But if you subtract

something from the right side, you must also subtract it from the left side to keep the

equation in balance. So subtract x from both sides. When you do that, the x disappears

from the right side and the left side becomes 2x minus x which is just x.

.

So the equation is reduced to:

.

x = 14

.

If x is 14 then the next two consecutive integers are 15 and 16 ... x+1 and x+2. So the

three consecutive integers are 14, 15, and 16.

.

Check ... the least integer is 14. Twice the least integer is 28. Is 28 actually 12 more

than the greatest integer which is 16? Yes it is, so the problem checks.

.

You were on the right track, but you just needed to know the difference in the three integers

was that they were x, x+1, and x+2. Hope this helps to show you how you could work the

problem through to get the final answer.

Step-by-step explanation:

Using the permutations formula, it is found that: 11,232,000 different license plates are possible

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

The order in which the letters and the numbers appear is important(123ABC is a different plate than A123BC), which means that the permutations formula is used to solve this question.

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

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

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

In this question:

Thus:

[tex]T = P_{26,3}P_{10,3} = \frac{26!}{23!}\times\frac{10!}{7!} = 11,232,000[/tex]

11,232,000 different license plates are possible

A similar problem is given at https://brainly.com/question/16812463

Answer:

11/12

Step-by-step explanation:

All you do is make 2 3/4 a improper fraction and then divided the improper fraction by 3 to get 11/12

Hope it helps :D

Answer:

when they reach each other Elana would have gone 16 miles for 2 minutes And jada would  for a minite to reach elana

Step-by-step explanation:

Answer:

594.78

Step-by-step explanation:

600-5.22 = 594.78

Answer:The answer should be 626.4

Step-by-step explanation:

Answer:

The measure of the vertex angle is 100°

Step-by-step explanation:

In Δ MNO

∵ Δ MNO is an isosceles triangle with base MO

∴ NM = NO

→ In an isosceles triangle, the base angles are equal in measures

∵ ∠M and ∠O are the base angles isosceles ΔMNO

∴ m∠M = m∠O

∵ m∠M = (3x + 10)°

∵ m∠O = (5x - 10)°

→ Equate their measures

∴ 5x - 10 = 3x + 10

→ Add 10 to both sides

∵ 5x - 10 + 10 = 3x + 10 + 10

∴ 5x = 3x + 20

→ Subtract 3x from both sides

∴ 5x - 3x = 3x - 3x + 20

∴ 2x = 20

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]

∴ x = 10

→ Substitute the value of x in the measures of ∠M and ∠O to find them

∵ m∠M = 3(10) + 10 = 30 + 10

∴ m∠M = 40°

∵ m∠O = 5(10) - 10 = 50 - 10

∴ m∠O = 40°

→ The sum of the measures of the interior angles of a Δ is 180°

∵ m∠M + m∠O + m∠N = 180°

∵ 40 + 40 + m∠N = 180

→ Add the like terms

∴ 80 + m∠N = 180

→ Subtract 80 from both sides

∴ 80 - 80 + m∠N = 180 - 80

∴ m∠N = 100°

∵ ∠N is the vertex angle of Δ MNO

∴ The measure of the vertex angle is 100°

Answer:

the answer is 40.26, you first subtract 2 to get 41.01 then subtract .75 to get 40.26, not exactly sure what work you want to be shown

Step-by-step explanation:

Answer:

33

Step-by-step explanation:

Answer:

it is 33 because you start off at 0 with 33

Step-by-step explanation:

Answer:

yes it is

Step-by-step explanation:

to have a right traingle two sides cannot be equal and the first added and squared cannot be more than the last side squared

Answers:

1. - 9/10 + 7/10 =-0.2

2. - 1/2 - 2/5 =-0.9

Have a beautiful day! v(⌒o⌒)v♪

Answer:

63

Step-by-step explanation:

I know I did it

Answer:

Part A: The higher the temp the more ice cream sold.

Part B

Step-by-step explanation:

Given:

Joining fee = $28

Fee of each event = $4

To find:

Total cost for someone to attend 4 events.

Solution:

Let the number of events be x and total fee be y.

Fee for 1 event = $4

Fee for x events = $4x

Joining fee remains constant. So, the total fee is

[tex]y=28+4x[/tex]

Substitute x=4 in this equation.

[tex]y=28+4(4)[/tex]

[tex]y=28+16[/tex]

[tex]y=44[/tex]

Therefore, total cost of 4 events is $44.

Answer:

A is two; B is nine; C is one

Good Luck!

a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.

b) if C is 1, then in the ones place, B+A must = 11

c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2

Answer:

(8, 0), (12, 4), (16, 8)

Step-by-step explanation:

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]  

(20, 12)

(4, - 4)

m = [tex]\frac{-4-12}{4-20}[/tex] = 1

y - 12 = (1)(x - 20)

y = x - 8

y = 8 - 8 = 0

y = 12 - 8 = 4

y = 16 - 8 = 8

Answer:

1

Step-by-step explanation:

it is right ok stop now

Answer:

$64.00

Step-by-step explanation:

Company A:

C = 3.25x

3.25 x 80 = 260

Company B:

C = 2.45x

2.45 x 80 = 196

How much more?

260 - 196 = 64

Difference in Total price for 80 unit is $84

Per spirit cost in company A = 3.5 per spirit

Cost equation for company B = C = 2.45x

Difference in Total price for 80 unit

Difference in Total price for 80 unit = 80[3.5 - 2.45]

Difference in Total price for 80 unit = 80[1.05]

Difference in Total price for 80 unit = $84

https://brainly.com/question/6364615?referrer=searchResults

The interest is %2 of 520 which, if you do the math, is 10.4 cents. You want to find out how much interest it is for 6 years so you have to multiply them.

10.4 x 6 = 62.4

The total interest for 6 years is $62.4

your welcome

Answer: I wish I can help, but I don't know how to explain it

Answer: The kites are  at the same height at 15.41s

Step-by-step explanation:

Step 1

Let t represent the time in seconds.

The equation that represents when both small and large kite are at the same height is given as

3.7 + 6.2t =20.65 +5.1t

Step 2----- Solving

3.7 + 6.2t =20.65 +5.1t

Taking like terms  and subtracting

6.2t-5.1t  = 20.65- 3.7

1.1t =16.95

t = 16.95/1.1

t=15.41s

The kites are  at the same height at 15.41s

Answer: k = 3

Step-by-step explanation:

Answer:

k=3

Step-by-step explanation:

26=6k+8-6+2k

combine all common integers from the same side, (8-6) and (6k+2k).

8-6=2

6k+2k=8

Which now translates the equation to 26=8k+2.

26=8k+2

continue by moving the (2) to the other side, do so by subtracting 26-2.

26-2=24

24=8k

Lastly, move the 8 to the other side of the equation by dividing 24/8.

24/8=3

Therefore, k=3

Answer:

Adult= 150 and Children=136

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

5*2*3 - 2*0 = 30 - 0 = 30

Answer: If it has a negative sign then drag it to one that doesn't have one and vice-versa

Step-by-step explanation:

so 0.005 would be -0.005

Answer:

the opposite of 0.005 is -0.005

the opposite of 1/2 is -1/2

the opposite of 0 is 0

the opposite of -2 is 2

Step-by-step explanation: