What are the vertex, focus, and directrix of the parabola whose equation is y-5= 1/12 (x – 3)2?

Answer:

D

Step-by-step explanation:

(2x + 5)(x + 3)(x − 1)=0

Use null factor law to solve for x

Answer:

$63.00

Step-by-step explanation

Since you have sales tax, you would do a 10% sales tax for 15 dollar

10/100 = x/15

Therefore you will calculate x and 100 divided by 15 which would be 6.6 repeated

You would round to the nearest tenth and get 6.6 then you would add 56.4 as in the tip+ month airtime usage and get 63 dollars

brainly please...maybe

Answer with step-by-step explanation:

x = $63.00

Since you have sales tax, you would do a 10% sales tax for 15 dollar

Equation = 10/100 = x/15

Therefore you will calculate x and 100 divided by 15 which would be 6.6 repeated

You would round to the nearest tenth and get 6.6 then you would add 56.4 as in the tip+ month airtime usage and get 63 dollars.

Hope this helped! (brainliest please)

Answer:

-(x+120)

Step-by-step explanation:

Answer:

12 baskets

Step-by-step explanation:

We solve this question using the Greatest Common Factor method.

We are told that:

There are

24 bottles of shampoo

36 tubes of hand lotion

60 bars of soap.

The same number of each item should be in each basket.

The greatest number of baskets is calculated as follows:

Step 1

We find the factors of 24, 36, 60

The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Step 2

We Identify the number that is greatest and common amongst 24, 36 and 60

This is 12.

Then the greatest common factor is 12

Therefore, the greatest number of baskets is 12 baskets

Already answered here: https://brainly.com/question/26946183

Answer:

Commission in March = $648

Commission in 2011 = $33696

Step-by-step explanation:

Given

[tex]Stocks = \$5400[/tex]

[tex]Commission = 12\%[/tex]

Required

- Determine the amount of commission

- Determine the amount of commission in 2011

This is calculated as

[tex]Amount = Commission * Stocks[/tex]

[tex]Amount = 12\% * 5400[/tex]

[tex]Amount = 0.12 * 5400[/tex]

[tex]Amount = \$648[/tex]

Since the number of weeks in a year is 52.

[tex]Yearly\ Commission = 52 * \$648[/tex]

[tex]Yearly\ Commission = \$33696[/tex]

Answer  5:8

Step-by-step explanation:

Answer:

1. 8liters

2.5

Step -by - step explaination:

8litres= 100

16litres=200

24litres=300

32litres=400

and so on

Answer:

4 3/8+6 5/8=x and x÷1/4=number of gallons

Answer:

4 3/8+6 5/8=x and x÷1/4=number of gallons

Step-by-step explanation:

Answer:

Step-by-step explanation:

in an election, candidate a got 75% of the total valid votes. if 15% of the total votes were declared invalid and the total numbers of votes is 560 000, find the number of valid votes polled in favor of candidate.

find total valid votes

560000 - 15% = 476000

find 75% of valid votes

476000 : 100 * 75 = 357000

Note:-

Calculated approximate values as we can't use ruler in screen !

#1

Sides are

#2

#3

Width:-

Answer:

x= -7

Step-by-step explanation:

subtract 139 from both sides

x-139-139=x

132-139= -7

Find common ratio:-

Just Multiply 3 with previous term to get next one

Answer:

From 11 am until 2 pm

Step-by-step explanation:

The line is straight meaning its constant throughout the time 11pm - 2pm, it is neither rising nor falling like the other two.

Step-by-step explanation:

there is a mistake in your question for sure.

because none of the lines match the function.

f(x) = 31

is a constant function represented by a straight horizontal line going through y = 31.

there is no such line in the graph.

Answer:

C. draw an angle bisector

Step-by-step explanation:

Answer: 18.4 inches

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the nth term of an arithmetic sequence is

[tex]u_{n}[/tex] = u₁ + (n - 1)d

given u₂₀ = 100 and u₂₅ = 115 , then

u₁ + 19d = 100 → (1)

u₁ + 24d = 115 → (2)

subtract (1) from (2) term by term to eliminate u₁

0 + 5d = 15

5d = 15 ( divide both sides by 5 )

d = 3

substitute d = 3 into (1) and solve for u₁

u₁ + 19(3) = 100

u₁ + 57 = 100 ( subtract 57 from both sides )

u₁ = 43

Answer:

a) u₁ = 43, d = 3

Step-by-step explanation:

Given :-

u₂₀ = 100

u₂₅ = 115

To Find :-

u₁ and d

Solving :-

u₂₀ = u₁ + 19d = 100 -(1)

u₂₅ = u₁ + 24d = 115 -(2)

(2) - (1)

5d = 15

d = 3

u₁ + 19(3) = 100

u₁ + 57 = 100

u₁ = 43

Solution :-

a) u₁ = 43, d = 3

Answer:

B and C that's the answers

Answer:

1. First, we need to find the area of the rectangle, then subtract the non-shaded region from the total of the rectangle's area.

Area of rectangle formula;

A = LW

Where 'L' represents the length, and 'W' represents the width.

Plug in your values:

A = LW

A = 8(13)

A = 104, now that we've found the area of this total rectangle, we need to find the area of the triangle and subtract that from the area of the rectangle.

Formula for area of triangle;

A = BH x 1/2

Where 'B' represents the base, and 'H' represents the height and 1/2 is just 1/2.

But, if we look at this triangle we can see that we don't have the base.

So what we have to do is subtract the given side lengths beside it (which you add up) from the total width.

Given length beside unknown base: 4 and 4

So, (4 + 4) = 8, and the total width is 13.

So: 13 - 8 = 5, 5 is our base.

Now we plug these into our formula:

A = BH x 1/2

A = 5(6) x 1/2

A = 30 x 1/2

A = 30/2, which equals to 15.

Now we subtract the non shaded region(triangle) from the shaded region(total area of rectangle).

104 - 15 = 89 meters.

2. In this figure, we find the area of the whole triangle, not considering the small empty vertical-positioned rectangle to the bottom left corner.

Let's find the total base and total height.

As we can see, in the bottom triangle the height is 4, the other triangle has a height of 5. Combine these to get (4 + 5) = 9 is our total height of the whole triangle.

Now we find the base, 5 is the base of the bottom triangle and the other triangle has a base of 2, combine these to get: (5 + 2) = 7 is the total base of the whole triangle.

Now plug these into our formula of area of triangle;

A = BH x 1/2

A= 7(9) x 1/2

A = 63/2

A = 31.5, is the area of the whole triangle.

Now let's find the area of the empty rectangle to our bottom left corner.

Our length is 4, our width is 2.

A = LW

A = 4(2)

A = 8

Now subtract the empty rectangle's area from the total area of the triangle:-

31.5 - 8 = 23.5 inches.

3. We can see that in this figure, there is an empty semi circle(that has no area) apart of a square.

So to find the area of the unfinished square, we find the area of the semi circle and subtract it from the total area of the square.

Formula for area of a circle:

A = π[tex]r^{2}[/tex]

Where 'π' represents pi aka (22/7 or 3.14), and 'r' represents the radius which is being squared.

But if we were to find the area of a semi circle, we would have to divide the whole formula of a regular circle by 2.

So, A = π[tex]r^{2}[/tex]/2

Now, we plug in the values showing in the diagram into our equation.

Though, since we are given a diameter of 6, we need to find the radius which is 1/2(half) of the diameter.

SO,

1/2 x 6 = 3.

Now that we have our radius, we can finally plug this into our equation:-

A = π[tex]r^{2}[/tex]/2

A = 3.14(3^2)/2

A = 3.14(9)/2

A = 28.26/2

A = 14.13, is our area of the semi circle.

Now we have to find the total area of the square, which we easily just multiply the two lengths.

6(length) x 6(width)

= 36, is the area of the total square.

Now we subtract the area of the semi circle from the area of the total square:

36 - 14.13 = 21.87 feet.

4. To find the area of this, we must split the figure into two shapes, a rectangle and a semi circle.

Using the formulas we applied to our past problems;

(Rectangle)

A = LW

A = 20(8)

A = 160, is the area of the rectangle

Now the semi circle (ignore the 12.56, because it's just the circumference):

We have to find the radius, (1/2 x diameter), so: (1/2 x 8) = 4 is our radius.

A = π[tex]r^{2}[/tex]/2

A = 3.14(4^2)/2

A = 3.14(16)/2

A = 50.24/2

A = 25.12, is the area of the semi circle.

Now we add the two areas,

160 + 25.12 = 185.12 feet.

5. We split this figure into two shapes, a rectangle and a triangle.

Using the formulas we applied earlier to our past problems.

(Rectangle)

A = LW

A = 14(12)

A = 168, is the area of the rectangle.

(Triangle)

A = BH x 1/2

A = 8(12) x 1/2

A = 96 x 1/2

A = 96/2

A = 48, is the area of the triangle.

Now we add these areas;

168 + 48 = 216 centimetres.

Answer:

2

Step-by-step explanation:

because 2x4=8

so 2/8=4

Answer:

32

Step-by-step explanation:

firstly do the inverse which is 4 times 8 which is 32

then to check if ur answer is correct do 32 ÷8 which is 4

Answer:

1.26

Step-by-step explanation:

Using the equation that the of the circumference:

C = 2Πr, you can plug in the given circumference:

7.92 = 2(3.14)r  | Now you can isolate r:

7.92 = 6.28r

7.92/6.28 = r

r =1.26

Answer:

C. (-1,6,1)

Step-by-step explanation:

Given the system of equation

6x−y+3z=−9 ...... 1

5x + 5y−5z = 20 ...... 2

3x−y+4z = −5 ...... 3

Reduce the equations to two variables with 2unknown

Multiply equation 3 by 2 and add to 1.

Equation 3×2; 6x−2y+8z = −10 ...... 4

Subtract 4 from 1

-y-(-2y)+3z-8z = -9-(-10)

-y+2y-5z = -9+10

y-5z = 1 ...... 5

Also multiply eqn 2 by 3 and 3 by 5

Equation 2×3; 15x+15y-15z= 60

Equation 3×5; 15x-5y+20z = -25

Subtract

15y+5y-15z-20z = 60+25

20y-35z = 85

Divide through by 5:

4y-7z = 17 ...... 6

...................................

Solve 5 and 6

y-5z = 1 ...... 5 × 4

4y-7z = 17 ...... 6 × 1

....................................

4y-20z = 4

4y-7z = 17

Subtract

-20z+7z = 4-17

-13z = -13

z = -13/-13

z = 1

Substitute z = 1 into equation 5 to get y:

From 5: y-5z = 1

y - 5(1) = 1

y-5 = 1

y = 1+5

y = 6

Substitute y = 6 and z = 1 into equation 3 to get x;

From 3: 3x−y+4z = −5

3x-6+4(1) = -5

3x -6+4 = -5

3x-2 = -5

3x = -5+2

3x = -3

x = -3/3

x = -1

Hence x = -1, y = 6 and z = 1

The correct answer is (-1, 6, 1)

The quadrilateral with vertices (0, 0), (0, 4), (8, 4) and (8,0) makes the rectangle.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

The given points are,

(0, 0), (0, 4), (8, 4) and (8,0).

To determine the section for the quadrilateral,

Find distance between points.

The distance between two points A(x₁, y₁) and B(x₂, y₂)

Distance

= √(x₂ - x₁)² + (y₂ - y₁)²

The distance between (0, 0) and (0, 4)

= √(0-0)² + (4-0)² = √(0)² + (4)² = √(4)² = 4

The distance between (0, 4) and (8, 4)

= √(8-0)² + (4-4)² = √(8)² + (0)² = √(8)² = 8

The distance between (8, 4) and (8, 0)

= √(8 - 8)² + (0 - (4))² = √(0)² + (4)² = √(4)² = 4

The distance between (8, 0) and (0, 0)

= √(0 - 8)² + (0- 0)² = √(-8)² + (0)² = √(8)² = 8

Since, the opposite sides are equal,

Therefore, the quadrilateral is rectangle.

To know more about Rectangle on:

https://brainly.com/question/15019502

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Answer:

150 Teenagers would have attended the game

Answer:

on my screen it sayes its 50938

Step-by-step explanation:

Answer:

Step-by-step explanation:

This question bothers on combination. combination has to do with selection.

If 4 faculty members are chosen from total of  8 faculty members, this can be done in 8C4 number of ways.

8C4 = 8!/(8-4)!4!

8C4 = 8!/4!4!

8C4 = 8*7*6*5*4!/4!*4*3*2

8c4 = 8*7*6*5/24

8C4 = 7*5*2

8C4  =70 ways

Similarly,  5 students are to be selected from a pool of 13 students, this can be done in 13C5 number of ways.

13C5 = 13!/(13-5)!5!

13C5 = 13!/8!5!

13C5 = 13*12*11*10*9*8!/8!*5*4*3*2

13C5 = 13*12*11*10*9/120

13C5 = 1,287 ways

The total number of ways the committee can be formed is 8C4 * 13C5 = 70*1287

The total number of ways the committee can be formed is 90,090 ways

Answer:

hello

4.678 =  4 678 / 1000

Step-by-step explanation: