Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. X2 (y â€"" 3)2 = 36 x2 (y â€"" 5)2 = 6 (x â€"" 4)² y² = 36 (x 6)² y² = 144 x2 (y 8)2 = 36.
Answers
The general equation of a circle is . The two options are option(A) and option(E).
Given,
There are five options in which five equation of the circle is given.
We have to find the two equations of the circle which have the diameter of 12 units and its center lies on the y-axis.
The general equation of circle.
the general equation of circle having radius of r units and (h,k) as center of circle is given as,
We also know that for the center to lie on y-axis, the value of h becomes 0.
So, the equation will be,
Now, it is clear from all the options that option(A) option(C) and option(E) has radius of 6 units, so neglecting all the other options.
Clearly, in option(c) the center doesn't lie on the y-axis.
so this can't be the required equation.
Therefore, the two options will be option(A) and option(E).
For more details on equation of circle follow the link:
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WILL MARK BRAINLIESTtwo sides of a triangle have lengths 6 and 17 which inequalities represent the possible lengths for the third side, x?
Faucet a can fill a water cooler 8 minutes. faucet b can fill the same cooler in 12 minutes. how long will it take both faucets together to fill the water cooler?
Answers
Answer:
2x^2 +1 (x=3)
2(3)^2 +1
6^2 +1
36+1
37
Answers
10 * 8.2 * 3.5 = 82 * 3.5 = 287
The volume of the box is 287 cubic centimeters.
Hope that helped! =)
You times all of them together to get the general volume of the box. You use the equation Base*Width*Height = General volume of a Cube.
Answers
per gallon of gasoline and he has some gasoline in his tank already. Matthew writes the
equation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase to
complete the trip.
Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solve
the equation to determine how many gallons of gasoline he must purchase.
Answers
Answer: 14 gallons of gasoline.
Step-by-step explanation:
given data:
25(x + 3) = 424
where x is the number of gallon of gasoline needed to purchase.
Solution.
25(x + 3) = 424
first we open the bracket
25x + 75 = 424
collect like terms
25x = 424 – 75
25x = 349
divide both sides by 25
25x/25 = 349/25
x = 13.96
x = 14
mathew needs to get 14 gallons of gasoline.
6x7-3^2x9+4^3
Expression 2
5+4x2+6-2x2-1
(a) What is the value of Expression 1?
(b) Insert parenthesis in Expression 2 so that it has a value 19. Then show why your expression has a value of 19.
PLEASE EXPLAIN IN GREAT DETAIL!!! IF YOU DON'T SHOW YOUR WORK/STEPS I WILL NOT GIVE BRAINLIEST!
Answers
Let's Simplify E1
E1, is just simply combining like terms. Plus an expression in math, is simply something that doesn't equal anything, moreover a phrase.
Expression 2 (E2)
Without Parenthesis, the expression's value is
With Parentheses, you'll get
In E2, you expression first has a value of 14 due to the order of operations, PEMDAS (Please Excuse My Dear Aunt Sally) standing for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. When using the order operations before the parentheses, multiplication is done first before 5 is added to 4, order states that 4 must be multiplied by 2 first before addition. However, when placing a parentheses around 5 plus 4 we are now multiplying the value of that expression, (5+4), by 2, so it becomes 9×2, because the order of operations must be followed.
Answers
160/8=20
we will have 20 cases