ANSWER ASAP PLEASE! What is the equation of a parabola in standard form given the directrix is y = 3 and the focus is (3,-3)?(x - _ )^2 = _y
Answers
Answer: (x - 3)^2 = -24(y + 3)
Step-by-step explanation:
To find the equation of the parabola in standard form, we can use the formula (x - h)^2 = 4p(y - k), where (h, k) is the vertex and p is the distance between the vertex and the focus.
Given that the directrix is y = 3 and the focus is (3, -3), we can see that the parabola opens downward.
The focus is (h, k + p) = (3, -3) and the directrix is y = k - p = 3. By comparing the y-coordinates, we can find p.
-3 = 3 + p
p = -6
Substituting the values into the formula, we get:
(x - 3)^2 = 4(-6)(y - (-3))
So, the equation of the parabola in standard form is (x - 3)^2 = -24(y + 3).
Related Questions
Divide 6/13 by 6/12 .
Paolo pays $244 for 5 indentical calculators. About how munh dose paolo pay for one calculators?
What is the kinetic energy of a 3-kilogram ball that is rolling at 2 meters per seconds?
Which of the following situations could be represented with the given system of equations? 2x-y=0 4x+7y=1170
true or false
Answers
False.
IF √x = -7.
Square both sides
(√x)² = (-7)²
x = (-7)(-7)
x = 49
x will equal 49
False is your answer
hope this helps
Answers
Let p = number of pennies we need to find.
(3/10)/(4/5) = p/440
Solve for p to find your answer.
Answer:
880
Step-by-step explanation:
Multiply the numerator and the denominator of 4/5 by 2 so it can be added. Rachel's bank would now be 8/10 full. If 440 pennies made it half full (8/10-3/10= 5/10, which equals 1/2) then 880 pennies (440 times 2) would fill it up completely. Hope this helps!
-throckmorton
Answers
Answer:
The slope is ( d-b)/ ( c-a)
Step-by-step explanation:
To find the slope we can use the slope formula
m = ( y2-y1_/(x2-x1)
= ( d-b)/ ( c-a)
Answers
Each chair or table requires between 0.2 and 1 gallon of paint to be painted.
What is the equivalent expression?
Equivalentexpressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
To find out how many gallons of paint are used to paint each piece of furniture, we need to divide the total amount of paint used by the total number of pieces of furniture.
Let x be the amount of paint used to paint one chair or table, in gallons.
Then, for 20 chairs and 5 small tables, the total amount of paint used is:
4 gallons = 20x + 5x
Simplifying this equation, we get:
4 gallons = 25x
Dividing both sides by 25, we get:
x = 0.16 gallons
Therefore, it takes 0.16 gallons of paint to paint each chair or table. Since we are looking for whole numbers, we can round this to the nearest whole number to get:
0.16 gallons ≈ 0.2 gallons
Hence, each chair or table requires between 0.2 and 1 gallon of paint to be painted.
To learn more about the equivalent expression visit:
#SPJ1
Answers
We need to round 45g to the nearest 10g's.
Look at the number in the one's place. If the number is greater than or equal to 5, round up. If the number is less than 5, round down.
45g rounded to the nearest ten is 50g.