All categories

2 years ago

What is the vertex of y=2(x+3)²+6

1 answer:

3 0

Since the equation is given in vertex form, you can easily find the vertex.
The vertex form of the equation of a parabola is $y=a(x-h)^2+k$ . The vertex is (h, k).
In your question, the vertex is (-3, 6).

You might be interested in

Star Wars land encompasses an area of 14.0 acres. [1.00 acre = 4046.86m2]. If Star Wars land were made into a circle, what would

Free_Kalibri [48]

Answer:

<h3>The answer is 134.29 m</h3>

Step-by-step explanation:

First of all we need to convert 14.0 acres to m²

1.00 acre = 4046.86 m²

14.0 acres = 14 × 4046.86 = 56656.04 m²

Area of a circle = πr²

where

r is the radius

To find the radius substitute the value for the area into the above formula and solve for the radius

That's

$56656.04 = \pi {r}^{2}$

Divide both sides by π

We have

${r}^{2} = \frac{56656.04}{\pi}$

Find the square root of both sides

$r = \sqrt{ \frac{56656.04}{\pi} }$

r = 134.29139

r = 134.29 m to 2 decimal places

Hope this helps you

3 0

2 years ago

The volume of this rectangular prism is 72 in³. What is the missing measurement for c?

chubhunter [2.5K]

Answer:

Step-by-step explanation:

The formula for finding the volume of a rectangular prism is lwh so u multiply 3 and 4 which is 12 and divide 72 by 12.

8 0

1 year ago

Read 2 more answers

Carol and Janis decide to sew fancy masks to sell on Etsy. Carol can cut, pin, sew and pack a mask in 30 minutes. Working togeth

Hoochie [10]

it would take Janis 14 minutes to complete a package alone

<h3>How to determine the value</h3>

From the information given,

Let's say that

Carol working time = x = 30 minutes

Janis working time = y

x + y = 16 minutes

Let's make 'y' the subject

30 - 16 = y

y= 14 minutes

Thus, it would take Janis 14 minutes to complete a package alone

Learn more about word problems here:

brainly.com/question/13818690

#SPJ1

4 0

1 year ago

What is the difference of income tax, pay roll tax,sales tax, property tax

gayaneshka [121]

Answer:

Income tax refers to money the company owes based on its earnings. Sales tax refers to money the company collects from customers and sends to the state tax collector. Payroll taxes refer to money the company owes based on the wages it pays its employees.

Step-by-step explanation:

8 0

2 years ago

What is the solution of (x-9)^2/3=25 algebraicallt

AnnyKZ [126]

$\bf \cfrac{(x-9)^2}{3}=25\implies (x-9)^2=75\implies \sqrt{(x-9)^2}=\sqrt{75}\implies x-9=\pm\sqrt{75} \\\\\\ x=\pm \sqrt{75}+9\implies x\approx \begin{cases} 17.66\\ -0.34 \end{cases}$

7 0

2 years ago