Answer:
Option A:
x^2 + (y - 2)^2 = 9
Step-by-step explanation:
We know that the equation for a circle centered in the point (a, b) and of radius R is given by:
(x - a)^2 + (y - b)^2 = R^2
So the first thing we need to find is the center of the circle.
We can see that the center is at:
x = 0
y = 2
Then the center is at the point (0, 2)
Now we want our circle to pass through point 2, located at a distance of 2 units from the radius of the first circle.
So the distance between the center and point 2 is 2 units plus the radius of the smaller circle:
And the radius of the smaller circle is one unit.
Then, the radius of a circle centered at (0, 2) that passes through point 2 is:
R = 1 + 2 = 3
Then we have a circle centered at (0, 2) and of radius R = 3
Replacing these in the equation for a circle we get:
(x - 0)^2 + (y - 2)^2 = 3^2
x^2 + (y - 2)^2 = 9
The correct option is A
Answer:
1st one jus did this
Step-by-step explanation:
easy
After the 10% discount on marked price (P), the selling price is ...
... P×(100% -10%) = 0.90P
After a markup off 35% on cost, the value is
... $70×(100% +35%) = 1.35×$70 = $94.50
The retailer wants these two values to be equal:
... 0.90P = $94.50
... P = $94.50/0.90 = $105.00 . . . . . divide by the coefficient of P
The marked price should be $105.00.
ANSWER: x = 4 ( 8 + 160 )
STEP BY STEP:
Let's start by getting a variable to represent the number. Let's use x. ⇩
x=
Now we know that there is a sum of 8 and 160. Let's add them to each other ⇩
x= 8 + 160
Now we know that this will be multiplied. Let's put parentheses around the addition to symbolize this.
X= (8 + 160)
Finally multiply this by four, making your equation
x= 4 (8 + 160)
I don't know the options but from looking at the problem I'm assuming the answer is
x = 4 ( 8 + 160 )
The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:
400 = 1000m + b (1)
Also:
300 = 500m + b (2)
Hence:
m = 0.2 = 20%, b = $200
The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200
Find out more on equation at: brainly.com/question/2972832
