Write the equation for a parabola with a focus at (1,2)(1,2)left parenthesis, 1, comma, 2, right parenthesis and a directrix at y=6y=6y, equals, 6.
y=
Answers
Answer:
y = -1/8(x -1)² +4
Step-by-step explanation:
The equation of a parabola can be written from focus and directrix using the form ...
y = 1/(4p)(x -h)² +k
where p is the distance from vertex to focus, and (h, k) is the vertex.
The vertex-focus distance is half the distance from the directrix to the focus. Here, that is ...
p = (2 -6)/2 = -4/2 = -2
The vertex is halfway between the focus and directrix on the same vertical line, so has coordinates ...
(h, k) = ((1, 2) +(1, 6))/2 = (1, 4)
__
Using these values of p and (h, k), we find the equation of the parabola to be ...
y = 1/(4(-2))(x -1)² +4
y = -1/8(x -1)² +4
_____
Additional comment
You can check the graph by considering the definition of a parabola: each point on the curve is equidistant from the focus and the directrix. This is easily verified for points on the horizontal and vertical lines through the focus. For example, point (5, 2) is 4 units from the focus, and 4 units from the directrix.
Answer:
y=-1/8(x-1)^2 +4
Step-by-step explanation:
Related Questions
QUICK pleaseeeeeeee. Which sentence in this body paragraph is most clearly the topic sentence? (1) The first character that supports Sophocles's warning about being stubborn is Antigone. (2) She must decide whether she will follow religious laws or the laws of the king. (3) When the king makes a law that declares her brother will not get a proper burial, she decides to go against the order and give her brother a burial anyway. As a result, the king is angry and sentences her to death. (4) So, her stubbornness is harmful to her. A. Sentence 1 B. Sentence 2 C. Sentence 4 D. Sentence 3
Answers
Answer:
sentence 1
Step-by-step explanation:
Answer: sentence one I took the quiz and I got it right
Step-by-step explanation:
Find the value of the missing side length.
3
12
X
20
Answers
Answer:
5
Step-by-step explanation:
12/20 = 3/x
solve for x
x=5
Answer: x is 5
Step-by-step explanation: These two triangles are similar (meaning same shape but different size.) To find x, we must first decrease the scaling. The original triangle is 3 and x sides. Being scaled, it is now 12 and 20. 12 divided by 4 is 3, so that's the first side, and being equivalent, 20 divided by 4 is 5, so therefore the triangle has been scaled by 4 units. Therefore x side is 5.
Factor the polynomial 2^2+ 16x + 24:
Answers
Answer:
4(4x+7)
Step-by-step explanation:
all I did was evaluate the exponent then added all the numbers to then rearrange the terms and the use your common factors
Which of the following correctly classifies the triangle according to its sides and angles?
Answers
two sides with / = isosceles
(2 equal sides)
and
180 - 98 = 82° for the 2 other angles
: 2 = 41° per angle
so < 90° => acute
please help me with this question i will mark as brainliest, thank you!
Answers
Answer:
x=1 and x=-8
Step-by-step explanation:
Since there is no slope or y-intercept, there is only a straight line vertically on both answers. Therefore, they are parallel.
HELP HELP HELP HELP HELP
Answers
Answer:
meh uwu uwu uwu
Step-by-step explanation:
5. Alisha ran 9.60 km. One mile is
approximately equal to 1.6 kilometers. How
many miles did Alisha run?
Answers
Answer:
Step-by-step explanation:
1 m is equal to 1.6 km so multiply to get about 6 miles
Use the number line below, where RS=3y+3, ST=2y+4, and RT=32.
What is the value of y?
Answers
Answer:
3y+3+2y+4=32
5y+7=32
5y=32-7
5y=25
y=5
Find the mean of:
3.8, 4.0, 4.1, 3.9, 4.2
Answers
Answer:
4
Step-by-step explanation:
Set of Data (Prioritized):
3.8, 3.9, 4.0, 4.1, 4.2
To find the mean:
Add up all the scores and divide the total by the number of scores.
(3.8 + 3.9 + 4.0 + 4.1 + 4.2) ÷ 5
= 4
Therefore, the mean is equal to 4.
Compound interest earns more than
simple interest at the same interest
rate because compounding pays
interest on the interest earned.
True
False
Answers
Answer: True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
. An object accelerates 3.2 m/s2 when a force of 6.7 Newtons is applied to it. What is the mass of the object?
Answers
Answer:
2.09 kg
Step-by-step explanation:
f=ma
6.7=m×3.2
m=2.09 kg
18 ft = ? pls?thank you
Answers
Answer:
216 inches, 6 yards, and 5.4864 meters.
Step-by-step explanation:
plz mark brainlest
65 in = ? ft ? in whats the awnser i dont get it
Answers
Answer:
5 ft 5 in
Step-by-step explanation:
12 in = 1 ft
65/12 = 5
12 x 5 = 60
65 - 60 = 5
5 ft 5 in
Have an amazing day!!
Please rate and amrk brainliest!!!
Lana completes 6 math problems in 15 minutes. How long will it take her to complete 10 problems?
Answers
6 pb ...........15 min
10 pb .................n min
6 x n = 10 x 15
n = 150 : 6
n = 25
25 minutes for 10 problems (pb)
Please help...........
Answers
Answer:
58500
Step-by-step explanation:
First as it says multiply
25% of 78000 = 19500
Method
25 x 78000/100
Then as it says use subtraction
78000 - 19500 = 58500
Hope this helped you
:-)
Which of the following best describes the sides of the transformed figure P’Q’R’S’
Answers
Answer: TO be honest what subject is this.
Step-by-step explanation:
A 5K race is about 3.1 miles. Kevin runs 3.5 miles on Monday, 4 miles on Wednesday and 1.8 miles on Friday. About how many 5K races would Kevin have completed?
Answers
Answer:
Kevin completed 3 races
Step-by-step explanation:
So to solve this first you would add up all of the miles Kevin ran.
[tex]3.5+4+1.8=9.3[/tex]
Then you would take the total amount he ran and divide it by 3.1 to see how many races he would have completed
[tex]9.3 / 3.1=3[/tex]
The smallest object in space that is
spherical due to its own gravity is
Mimas, one of the moons of Saturn.
The radius of Mimas is approximately
200 km. What is the approximate
volume of the moon, to the nearest
million cubic km?
Answers
Answer:
33510321.638291 kilometers^3
Step-by-step explanation:
The formula for volume in a circle is 4/3*pie*r^3. Plug the radius in and you get that number.
Find the distance between -8 and 18
Answers
Answer:
-8-18=10
Step-by-step explanation:
the diffrence is 10 bc all u have to do is subtract whenever it tells u to find the diffrence :)
Add the following matrices.
Answers
Answer:
[7 6]
[7 4]
Step-by-step explanation:
Answer:
17/42
Step-by-step explanation:
[tex]\frac{17}{42}[/tex]
Triangle M′ is the image of triangle M under a dilation.
What is the center of the dilation?
A. A
B. B
C. C
D. D
Answers
Because it’s where m and m both meet
The center of the dilation of the triangle M' will be B thus option (B) is correct.
What is the transformation of a graph?Transformation is rearranging a graph by a given rule it could be either increment of coordinate or decrement or reflection.
If we reflect any graph about y = x then the coordinate will interchange it that (x,y) → (y,x).
As per the given triangles M and M'.
If we take point B then the all vertices of triangle M and M' will make a straight line with point B as shown below.
Thus, point B will be the center of dilation.
Hence "The triangle M"s center of dilation will be at B".
To learn more about the transformation of graphs,
brainly.com/question/3099136
#SPJ2
Which expression is equivalent to 5y–3? StartFraction 1 Over 125 y cubed EndFraction StartFraction 1 Over 5 y cubed EndFraction StartFraction 5 Over y cubed EndFraction StartFraction 125 Over y cubed EndFraction.
Answers
The expression which is equivalent to the provided expression is Start Fraction 1 Over 125 y cubed End Fraction.
[tex]\dfrac{1}{125y^{3}}\\[/tex]
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given expression in the problem is,
[tex](5y)^{-3}[/tex]
Let the equivalent expression of the above expression is n. Thus,
[tex]n=(5y)^{-3}\\[/tex]
The number with negative power can be written in the denominator of number 1 with same but positive power.
[tex]n=\dfrac{1}{(5y)^{3}}\\n=\dfrac{1}{125y^{3}}\\[/tex]
Hence, the expression which is equivalent to the provided expression is Start Fraction 1 Over 125 y cubed End Fraction.
[tex]\dfrac{1}{125y^{3}}\\[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Answer:
Step-by-step explanation:
The square below represents one whole
Express the shaded area as a fraction, a decimal, and a percent of the whole
Answers
Answer: fraction: 3/10, Decimal: 0.30 Percent: 30%
Step-by-step explanation:
Need help (easy 20 points)
Answers
Step-by-step explanation:
Which of the following (x,y) pairs is the solution for the system of equations x + 2y = 2 and -2x
+y = 16?
Answers
Answer:
(-6,4)
Step-by-step explanation:
make sure x's or y's are the same and opposite signs
x + 2y = 2 and -2x +y = 16
multiply 2 with x + 2y = 2 so that there is 2x
2 * (x + 2y = 2) = 2x + 4y = 4
2x + 4y = 4
-2x +y = 16
--------------------
5y = 20
y = 4
put y = 4 back into one of the equations
-2x +y = 16
-2x + 4 = 16
-2x = 12
x = -6
The amount of a person’s paycheck is directly proportional to the number of hours worked. For working 11 hours, the pay is $79.75. Find the pay for 35 hours of work.
Answers
So 35 x 7.25 = 253.75 is your answer
FIND THE AREA OF THE SHAPE PLEASE
Answers
Answer:
26, not sureif its correct......
Which relation is a function?
A {(-1,3), (-2,6), (0,0), (-2,-2)}
B {(-2,-2),(0,0), (1, 1), (2, 2)}
C {(4,0), (4,1),(4,2), (4,3)}
D
{(7,4), (8,8), (10, 8), (10, 10)}
Answers
Answer: B is a function
Step-by-step explanation:
All the x cordinates in (x,y) are different.
(3x+4)^3=2197 solve this equation
Answers
Answer:
x=3
Step-by-step explanation:
3x+4=13
3x=13−4
3x=9
x=3
Answer:
x=9
Step-by-step explanation:
(3x+4)^3=2197
cubic root both sides
3x+4=13
minus 4 from both sides
3x=9
divide by 3
x=9
Express the following phrase as an algebraic expression.
5 less than y