MATHEMATICS HIGH SCHOOL

Find the length of the radius for this circle.(x - 3)² + (y - 5)² = 8

8
4
2√2

Answers

Answer 1
Answer:

Answer: 2√(2)

Step-by-step explanation:

The general form of equation of a circle is given by :-

(x-a)^2+(y-b)^2=r^2 , where r is radius and (a,b) is the center of the circle.

The given equation of circle:(x - 3)^2 + (y - 5)^2 = 8

\Rightarrow\ r^2=8

Taking square root on both sides, we get

\Rightarrow\ r=√(8)=2√(2)

Hence, the length of the radius for this circle= 2√(2)
Answer 2
Answer: we know that the 8 represent the squared radius of the circle so to get the radius we should take the square root of 8 
the answer is √8 = 2√2

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150+25x=55x what is the answer?

Sue has a balance of $35in her checking account. She writes one of the check for$10,and three checks for $9 each what is her balance now

Answers

We have to subtract the total of the written checks from the total money in her balance; so first lets add the total of the checks:
$10 + $9 + $9 + $9 = $37.00
Now that we found the total money of checks we must now subtract it from the balance:
$35 - $37 = -$2.00
So her ending balance is -$2.00

Compute the amount of interest earned in the following simple interest problem. A deposit of $100 at 8% for 20 years = _____. $1.60 $16.00 $160.00 $1,600.00

Answers

Answer:

C. $160.

Step-by-step explanation:

We are asked to find the amount of simple interest earned from a deposit of $100 at 8% for 20 years.  

We will use simple interest formula to solve our given problem

I=Prt, where,

I=\text{Amount of interest},  

P=\text{Principal amount},  

r=\text{Interest rate in decimal form},  

T=\text{Time in years}.

Let us convert our given interest rate in decimal form.

8\%=(8)/(100)=0.08

Upon substituting our given values in above formula we will get,

I=100*0.08*20

I=160

Therefore, the amount of interest earned is $160 and option C is the correct choice.
Initial deposit = 100 dollars
Interest = 8% = 0.08
time of deposit - 20 years or 240 months.
Annual Rate :
=> 100 dollars * .08 = 8 dollars per year
=> 8 * 20 = 160 dollars for 20 years.

An inscribed angle is an angle formed by two chords which share an endpoint and pass through the center.True or False

Answers

The correct answer is:


False.


Explanation:


An inscribed angle is an angle formed by two chords in a circle which have a common endpoint, which is the vertex of the angle.


This vertex does not have to be the center of the circle.


The chords that make up the sides of the angle do not have to go through the center of the circle.

Answer:

False

Step-by-step explanation:

The vertex doesn't have to be in the center of the circle.

Make w the subject of the formula!!!!! HELP!!!!

y=3w-a

Answers

y = 3w - a
We need to isolate w here
so, we do these steps:
1 - add a
y = 3w - a
+a      + a
y + a = 3w

Divide by 3 to isolate w
(y+a)/(3) = (3w)/(3)
3 and 3 cancels out

Final answer:
(y+a)/(3) = w

Carlos needs to memorize words on a vocabulary list for French class. He has memorized 30 of the words, which is three-fifths of the list. How many words are on the list?

Answers

a neat trick for this problem is that you can easily multiply 3 by a number to make it 30. (3x10=30). using the same number, multiply it by the denominator. 5x10=50. the answer is 50 (3/5 x 10/10 = 30/50 without changing the original ratio)

I ONLY NEED HELP WITH PART BAn equation is shown below:

5x + 3(x – 5) = 6x + 2x – 15

Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)

Part B: Name one property you used to solve this equation. (4 points)

Answers

Hi there

5x+3(x-5)=6x+2x-15

Simplify both sides of the equation

5x+3(x-5)=6x+2x-15

Distribute

5x+3x-15=6x+2x-15

Combine like terms

(5x+3x)-15= (6x+2x)-15

8x-15=8x-15

Subtract 8x from both sides

8x-15-8x=8x-15-8x

-15=-15

Add 15 to both sides

-15+15=-15+15

0=0

All real numbers are solutions

To solve this equation I used " The distributive property"


I hope that's help !

Good night !


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