Write the standard equation of the circle with the given center that passes through the given point. Center (-2,6); point (-2,10)

Answers

Answer 1

Answer: The general form of the equation of a circle is given by:
(x-a)²+(y-b)²=r²
where:
(a,b) is the center
r is the radius
Given that the circle with center (-2,6) and cuts point (-2,10), the equation of the circle will be found as follows:
the radius of the circle will be:
r=√[(x-a)²+(y-b)²]
r=√[(-2-(-2))²+(10-6)²]
r=√[(-2+2)²+4²]
r=√[0+4²]
r=4 units
hence plugging the values to obtain the equation we get:
(x-(-2))²+(y-6)²=4²
simplifying we get:
(x+2)²+(y-6)²=4²

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While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent. 1 European euro = 1.3687 US dollars
Four less than the product of twice a number and eight

Factor the GCF: −6x3y + 9x2y2 − 12xy33xy(−2x2 + 3xy − 4y2)

−3xy(2x2 + 3xy − 4y2)

−3xy(2x2 − 3xy + 4y2)

−3(2x3y − 3x2y2 + 4xy3

Answers

Answer:

Option C is the answer.

Step-by-step explanation:

We have to factor the GCF of the given expression:

-6x³y + 9x²y² - 12xy³

To get the GCF of the given expression we will find the factors of each term first.

Factors of 6x³y = 2 × 3 × (x) × (x) (x) (y)

Factors of 9x²y² = 3 × 3 × (x) (x) (y) (y)

Factors of 12xy³ = 2 × 2 × 3 × (x) (y) (y) (y)

So the common factor is 3 × (x) (y)

Now we will take out the GCF as a factor of the given expression = 3xy (-2x² + 3xy - 4y² )

= -3xy ( 2x² - 3xy + 4y² )

Option C is the answer.

-6x^3y + 9x^2y^2 - 12xy^3
-3xy(2x^2) - 3xy(-3xy) - 3xy(4y^2)
-3xy(2x^2 - 3xy + 4y^2)

The answer is C.

a salesperson earns 350 a wee plus 10% of their weekly sales. Find the sales necessary for the salesperson to earn at least 800 in one week

Answers

If you would like to find the sales necessary for the salesperson to earn at least 800 in one week, you can calculate this using the following steps:

s ... weekly sales
350 + 10% of sales >= 800
350 + 10% of s >= 800
350 + 10% * s >= 800
10/100 * s >= 800 - 350
1/10 * s >= 450 /*10
s >= 450 * 10
s >= 4500

The correct result would be: weekly sales >= 4500.

$350 + 10 \ percent \ of sales \ \textgreater \ = 800$

$350 + 10 \ percent \ of sales \ \textgreater \ = 800$

$350 + 10 \ percent \ * sales \ \textgreater \ = 800$

$10/100 * sales \ \textgreater \ = 800 - 350$

$1/10 * sales \ \textgreater \ = 450 /*10$

$sales \ \textgreater \ = 450 * 10$

$sales \ \textgreater \ = 4500$

Multiply 5/48 times 24/51 in simplest form

Answers

5/102 is the answer in simplest form.

The answer is 120/2448
or if simplest form
12/204
6/102
3/51
1/17

Juanita is 13 years older than her cousin. The sum of their ages is no less than 103 years.Enter an inequality that can be used to represent this situation in the first box, where x represents Juanita's cousin's age.

Enter the youngest age Juanita's cousin can be in the second box.

Answers

"No less than" means "greater than or equal to"
Juanita's cousin's age = x
Juanita's age = 13x
Sum greater than or equal to 103 years
13x + x ≥ 103
14x ≥ 103
Juanita's cousin is at least:
x ≥ 103/14
x ≥ 7.35
Juanita's cousin is at least 8 years old

—1(-4)+-2(3)(-4)-(-6-10)

Answers

Answer:

To simplify the expression —1(-4) + -2(3)(-4) - (-6-10), let's break it down step by step:

1. Start by simplifying the multiplication in the expression:

—1(-4) equals 4

-2(3)(-4) equals 24

-6-10 equals -16

2. Now substitute the simplified values back into the original expression:

4 + 24 - (-16)

3. To solve this expression, we need to address the double negative:

When we have a negative sign before a negative number, it becomes positive. So, -(-16) becomes +16.

4. Now, we can continue evaluating the expression:

4 + 24 + 16

5. Finally, add the numbers together to get the answer:

4 + 24 + 16 = 44

Therefore, the value of the expression —1(-4) + -2(3)(-4) - (-6-10) is 44.

Step-by-step explanation:

Answer:

Step-by-step explanation:

How would you simplify that just a question If you could ?

the scale on the a map is 1 inch = 2 1/2 miles the distance between two streets on the map is 1 3/4 what is the actual distance between these streets