Given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle.True or False?

Answers

Answer 1

Answer: With the center and the point (-6,2) you can deduce the equation of the circle

(x-xo)^2 + (y-yo)^2 = r^2

(x+3)^2 + (y-4)^ = r^2

r^2 is otained from the center and the point (-6,2)

r^2 = (-6 -(-3))^2 + (2-4)^2 = (-6+3)^2 + (-2)^2 = (-3)^2 + 4 = 9 + 4 = 13.

Then the equation of the circle is

(x+3)^2 + (y-4)^ = 13

Now we subsitute the point (10,4) into that equation and see whether it belongs to it:

(10+3)^2 + (4-4)^2 = 13^2

13^2 ≠ 13, so the point does not belong to the equation.

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Could someone help me with these.
3/2 x -9 = 0 hiiiiiiiii please help :)

Given the preimage and image, find the dilation scale factor

Answers

Answer:

1/2

Step-by-step explanation:

the dilation factor should be 1/2

if u count the dots on the sides of the preimage there are 2 dots that's the length
if u count the dots on the real image it's 4
therefore 2/4 to it's lowest term is 1/2
so 1/2 is the scale factor

Answer:

should be 1/2 as your answer

Find the linear function from the table

Answers

y=6x-74

on your calculator press stat enter and plug in your values, then go to stay, move one over to calc and press 4 to find the linear function

Solve: 9x - 5 = 22
plz show your working :)

Answers

9x - 5 = 22
9x = 22 + 5
9x = 27
x = 3

Add 5 to 229x=27Divide the 9 to 27X=3

Mario has a business selling muffins. Let x be the price of a muffin. Then, the profit P for Mario’s business is given by p(x)=-100x2+350x-150 Choose the inequality that shows the business will make a positive profit.

Answers

The first question's answer is:

0<-100x^2+350x-150

The second question "Look at the factorization shown below.

0 < –100x2 + 350x – 150

0 < –50(2x2 – 7x + 3)

0 < –50(2x – 1)(x – 3)

Select the range that Mario can choose from to price his muffins and make a positive profit.

The answer is:

$0.50 < x < $3.00

The polynomial x3 + 8 is equal to

Answers

Answer:

$x^(3) +2^(3)=(x+2)(x^(2) -2x+2^(2) )$

Step-by-step explanation:

The general expansion of a polynomial of type $a^(3) +b^(3)$ is given as follows:

$a^(3) +b^(3) =(a+b)(a^(2) -ab+b^(2) )$

Given polynomial is $x^(3) +8$

This can be written as $x^(3) +2^(3)$ , which is of the form $a^(3) +b^(3)$ .

So we can use the general form to expand this polynomial where;

a→x

b→2

$x^(3) +2^(3)=(x+2)(x^(2) -x*2+2^(2) )$

$x^(3) +2^(3)=(x+2)(x^(2) -2x+2^(2) )$

The polynomial x3+8 is equal to (x+2)(x2-2x+4)

Hope this helps:)

In an investment account what if $2000 is invested. What is the value after 3 years if compounded monthly by 6% ?

Answers

Compound interest formula A = P(1 +r/100)^n
A = Amount
r = rate = 6
n = number of compounding time.
P = Principal = $2000.
Since we are compounding monthly, r = 6% p.a = (6/12)% per month.
n= 3 years = 3*12 = 36 months.
Note that since we are compounding monthly, our time would be in months.
A = P(1 +r/100)^n
A = 2000 * (1 + (6/12)/100 )^36
A = 2000 * (1 + 6/1200)^36
A = 2000 * (1 + 0.005)^36 Use your calculator
A = 2000 * (1 .005)^36 = 2393.36
Amount = $2 393.36
That's it. Cheers.

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