Find the vertex and focus of the
parabola.
y2 – 12y + 4x + 4 = 0

Answer: 0.75 ×24 carat = 18 carat

Step-by-step explanation:

24 carat is 100% pure gold. If there is 3/4 parts of gold it is 75 % = 0.75

Answer: 3. 22-8 / 4. 2x3.5 / 5.

Step-by-step explanation:

Step-by-step explanation:

1. 1×8=8

2. 9×2=18

3. 8+14=22÷2=11

4. 2.7

5. -1.5

6. closest -2.5

7.÷2=10-3=7

Answer:

? = 5n + 6

Explanation:

Answer:

5x + 6

Step-by-step explanation:

Let the number = x. 5 times x = 5x. So, the equation 5x + 6.

Answer:

Step-by-step explanation:

Where's the line?

12x4=48

48-32=16

4-2=2

16 divided by 2=8 birds

Answer:

4 cats, 8 birds

Step-by-step explanation:

make a system of equations and solve.

Answer:

^2 + 2x-15

Hope this helps

Answer:

2

Step-by-step explanation:

Answer:

Looks like all of your questions have been answered.

Answer:

volume = base area * height

Step-by-step explanation:

[tex]1 \div 2 \times 6 \times 5 \times 11.5 =172.5in3[/tex]

Answer:

I think Region 1 is my answer, because the first equation is -1.1 and thats the closest point

Answer:

The slope is 0

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-8,0)[/tex]

[tex](x_2,y_2) = (4,0)[/tex]

Required

The slope (m)

This is calculated as"

[tex]m=\frac{y_2-y_1}{x_2 - x_1}[/tex]

[tex]m=\frac{0-0}{4 -(-8)}[/tex]

[tex]m=0[/tex]

The slope is 0

Answer: x=5

x= 2

Step-by-step explanation:

Answers

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let tacos be x and burritos be y

So, Avery purchased 4x+2y = 21

Sasha purchased 4x+3y = 26.5

Solving the 2 eqns:

4x+2y=21

-4x-3y=-26.5

-y=-5.5

The cost of one burrito is $5.5

Answer and Explanation:

If, on the other hand, the graph "flexes" or "flattens out" to some degree when it goes to cross the axis, then the zero is of a higher multiplicity; that is, it'll be of multiplicity three, five, or higher.

When a graph doesn't start at 0, it means that the graphs before it is not shown.

For number 4, I'd suggest Graph 3.

For number 3, I'd suggest graph 1.

For number 5, Write something along the lines of "Graph 2 does not show the car stopping slowly, it stops suddenly. Then it starts going really fast and stops suddenly again."

I hoped this helped.

Answer:

54.

Step-by-step explanation:

( 8 + √ 10 ) ( 8 − √10)

= 8*8  - 8√10 + 8√10  +√10 *  -√10

= 64 -  8√10 + 8√10 - 10

The 2 middle turns cancel out so we have:

64 - 10

= 54.

Answer:

Step-by-step explanation:

Answer:

Let n and n+4 be the numbers. Then:

n² + 3(n+4)=66

n²+3n-54=0

(n+9)(n-6)=0

n=6 or -9

n+4=10

Assuming positive integers only, the numbers are 6 and 10…..

Step-by-step explanation:

100% right

Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.

Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.

Let the first number(bigger number) be 'a', and the smaller number be b.

As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,

a = b + 4

Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,

[tex]ab = 3(b^2)\\[/tex]

As the value of a = b+4, substitute the value of a,

[tex](b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2[/tex]

Thus, the value of b is 2.

In order to get 'a' add 4 to the value of b, therefore, the value of a is,

[tex]a = b+4\\\\a = 2+4 \\\\a=6[/tex]

Hence, the two natural numbers are 4 and 6.

Learn more about Natural numbers:

https://brainly.com/question/17429689

Answer:

4 + 4 0

Step-by-step explanation:

Simplify

1

Eliminate redundant parentheses

( + 1 5 ) + ( + 5 ) + ( + 1 5 ) + ( + 5 )

2

Add the numbers

3

Combine like terms

Solution

4 + 4 0

Answer:

Step-by-step explanation:

x²/a² - y²/b² = 1

center (0,0)

vertex (3,0), so a = 3

focus (9,0)

e = 9/a = 3

directrices: x = ±a/e = ±1

The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x =  ±1.

The general equation of the hyperbola is in the form of

x²/a² - y²/b² = 1

We have been given center (0,0)

vertex (3,0),

so a = 3

focus (9,0)

So, e = 9/a = 3

The equation of directrices:

x = ±a/e = ±1

Hence, The equations of the directrices with a vertex at (3, 0) and a focus of the hyperbola located at (9, 0) is x =  ±1.

Learn more about hyperbola here:

brainly.com/question/4148030

#SPJ2

Answer:

76

Step-by-step explanation:

Answer:

2. Dependent events

Step-by-step explanation:

Answer:

2/6

Step-by-step explanation:

six sided die so 1/6 of any given number

5 and 6 are only numbers above four

2/7

Answer:

2 to 3, 4 to 6, 8 to twelve

Step-by-step explanation:

the boys are first, girls second

Answer: 3:2 ... 9:6... 27:18 you can put 81:54 too

Step-by-step explanation: