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ipn [44]
3 years ago
14

PLEASE HELP PRE CALCULUS HELP 60 POINTS

Mathematics
1 answer:
earnstyle [38]3 years ago
7 0

Answer:

B

Step-by-step explanation:

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Find the center and radius of the circle x^2+y^2-10x-12y+45=0.
BARSIC [14]

Answer:

The center is (5, -6) with a radius of r

Step-by-step explanation:

First put the equation in Standard Form for a circle:

(x + a)² + (y + b)² = r²

Now, Group the term

x² + y² - 10x - 12y + 45 = 0

x² - 10x + y² - 12y = - 45

Then, The x and y terms must be perfect squares

x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36

add constant both sides we get,

x² - 10x + 25 + y² - 12y + 36 = 16

Now, Simplify

(x - 5)² + (y + 6)² = 16

√(x - 5)² + (y + 6)² = √16

<em>x - 5 + y + 6 = 4</em>

<em>Here</em><em>,</em><em> </em><em> (</em><em>a,</em><em>b</em><em>) = (5, -6) and </em><em>r²</em><em> </em><em>= 16, with r = 4</em>

Thus, The center is (5, -6) with a radius of r

<u>-TheUnknownScientist</u><u> 72</u>

6 0
3 years ago
Question 7 of 10
astra-53 [7]

The correct answer is option D which is 0.798

The complete question is given below:-

For an exponential regression equation in the form y=ab^x which of the following values of b will cause y to get smaller as x gets larger?

a.) 1.526

b.) 1.798

c.) 2.526

d.) 0.798

<h3>What is an equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Since we know that an exponential function is in the form:y= ab.^x where,

a= Initial value,

b = For growth b is in form (1+r), where r is the rate in decimal form.

b = For decay or regression b is less than 1 and in form (1-r), where r is the rate in decimal form.

Upon looking at our given choices we can see that options a, b and c are in form 1+r, while the choice provided in option d is less than 1 and in form 1-r, therefore, option d is the correct choice.

Therefore the correct answer is option D which is 0.798

To know more about equations follow

brainly.com/question/2972832

#SPJ1

8 0
2 years ago
a function f(x) is described by the ordered pair (x,y). if given the function is translated 2 units to the right and then reflec
OleMash [197]
The ordered pairs would be (x-2, -y).

Translating a graph to the right subtracts the number of units from the x-coordinate.

Reflecting across the x-axis negates the y-coordinate.
3 0
3 years ago
On Tuesday, Stacy rode her bicycle miles from her house to the supermarket. She walked of a mile while at the supermarket. She r
Helen [10]

Answer: 6 1/5 miles

Step-by-step explanation:

Here's the complete question:

On Tuesday, Stacy rode her bicycle 1 3/4 miles from her house to the supermarket. She walked 1/4 of a mile while at the supermarket. She rode her bicycle a different way home that was 2 1/5 miles long. How many miles did Stacy ride her bicycle on Tuesday.

The number of miles that Stacy ride her bicycle on Tuesday will be the addition of her distance from her house to the supermarket and back to her house from the supermarket. This will be:

= Distance to supermarket = 1¾ + ¼ = 2 miles

Distance from supermarket = 2 + 2 1/5 = 4 1/5 miles

Total distance = 2 + 4 1/5 = 6 1/5 miles

4 0
3 years ago
Select the correct verbal description for the expression below.
Alexxandr [17]
HEY THERE!!

I think the correct answer is
D.
the product of x and a factor depending on x

SORRY if I am wrong.
4 0
3 years ago
Read 2 more answers
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