The parabola in the image has its focus at (4,3).Its directrix is the line y=1.The point (8,6) is on the parabola.
Answers
The statements that are true for this parabola are:
C. The point (8, 6) is the same distance from the point (4, 3) as it is from the line y = 1.
Option D.
Given the following data:
Vertex (h, k) = (4, 3).Point (x, y) = (8, 6).How to determine the equation of the directrix?Mathematically, the standard equation of the directrix line for a parabola is given by: y = a(x - h)² + 2.
Next, we would determine the distance where point (8, 6) lie on the parabola as follows:
y = a(x - h)² + 2
6 = a(8 - 4)² + 2
6 = a(4)² + 2
6 = 16a + 2
16a = 6 - 2
16a = 4
a = 4/16
a = 1/4.
Therefore, the parabolic equation becomes:
y = 1/4(x - 4)² + 2
When x = 2, we have:
y = 1/4(2 - 4)² + 2
y = 1/4(-2)² + 2
y = 1/4(4) + 2
y = 1 + 2
y = 3.
In conlusion, the statements that are true for this parabola in the image above include:
The point (8, 6) is the same distance from the point (4, 3) as it is from line (y = 1).The point (2, 3) is on the parabola.Read more on directrix here: https://brainly.com/question/2346582
#SPJ1
Related Questions
The function f(t)=1900(1. 4)^t
t
represents the change in a quantity over t hours. What does the constant 1. 4 reveal about the rate of change of the quantity?
Answers
Answer:
Increasing by 40%
Step-by-step explanation:
This is a exponentional function. The format for this type of function is a(b)^x. So "a" is your initial value, and "b" is the rate. Now let's think to ourselves what times what is still equal to the same thing? That is 1. But in our question, we have 1.4. So we are increasing by 0.4, or 40%.
I took picture off it
Answers
Answer:
F
Step-by-step explanation:
the box plot is divided into quarters, the line on the end to 20 being 1/4th, the start of the box to the line in the box being another 1/4th, the middle line to the end of the box is another 1/4th, and the last line is the last 1/4th
I need help with this problem if anyone wants to help me please do
Answers
Answer:
11
Step-by-step explanation:
hope this helps loves x
That’s a right answer
please help me solve this
Answers
8. (8, 6); 5x - 5y = 10
7x - 14y = -28
Answers
Answer:
28
Step-by-step explanation:
because 28 is the last one
please help due today!! I really need this!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
Nate - I can't fold my invitation at all. The parts won't match.
Hector - I can fold my invitation more than one way.
Daniel - I can fold my invitation along only a horizontal line.
Micheal - I can fold my invitation along only a vertical line.
A candy company is marketing a special assortment of caramels. The company wants to put 20 individual caramels into a rectangular box. Each caramel is a 1-inch cube. The caramel should completely fill the box.
Which arrangement of caramels requires the least cardboard?
Answers
Answer:
five by four
Step-by-step explanation:
If m∠2 = 80°, what is m∠4?
Answers
Answer:
80 degrees
Step-by-step explanation:
they are vertical pirs (across from each other) so they have the same measure
The probability of an event is P(A) = 0.05 What is the complement of P(A)?
Answers
Probability is the likelihood or chance that an event will occur. The complement of the probability will be 0.95
What is probability?Probability is the likelihood or chance that an event will occur. Mathematically:
Probability = expected outcome/total outcome
Given that the probability of an event is P(A) = 0.05, the complement will be expressed as:
P'(A) = 1 - P(A)
P'(A) = 1 - 0.05
P' (A) = 0.95
Hence the complement of the probability will be 0.95
Learn more on probability here: https://brainly.com/question/24756209
express 194720 in standard form correct to 3 significant figures
Answers
Answer:
1.95 x 10^5
Step-by-step explanation:
First look at the 4th digit in the number 194720 as the the question said to round to 3 significant figures. If the 4th digit is more than 5, then add 1 to the third digit which results in 195000. Now the question also said to express in standard form. Look for the first non-digit number in 195000. After 1 put a decimal point and remove all the zeros after the point which results in 1.95. Now count how many digits you moved to the left which comes as 5. Write the answer as 1.95 x 10^5.
Hope you can understand this!!
How many faces does a solid with 8 vertices and 12 edges have?
8
12
6
22
Answers
Answer:
6
Step-by-step explanation:
Look at the cube or find one at your house. There are 8 vertices (corners) and 12 edges.
URGENT
Malia is solving a system of linear equations. She will multiply Equation 2 by a number so that the x terms will sum to 0 when the equations are combined. Which is Equation 2 after the multiplication?
Equation 1: 3x+2y=9
Equation 2: -x+3y=8
A) -3x+3y=8
B) -3x-9y=24
C) 3x+9y=24
D) 3x-9y=-24
Answers
30 POINTS!
Find x if ∠m1 = 2x + 10 and m∠2 = 3x - 6
Answer choices:
42, 24, 4, 16
Answers
Answer: 16
Step-by-step explanation:
Evaluate.
3^2 + 12 ÷ (6 - 3) x 8
Answers
Answer:
38 is your answer :)
Step-by-step explanation:
So what you want to do is P.E.M.D.A.S (parenthesis, exponets, multiplication/division, addition/subtraction) * whatever comes first always do it in order*
3^2+12/ (6-3) x 8
6-3 = 3
3^2+12/(3)*8
3^2+4*8
6+4*8 =32 and 32+6 = 38
parenthesis, exponents, multiplication, division, addition, subtraction
start by doing (6-3), which is 3
now the equation is 3^2+12 / 3 x 8
then do 3^2, which is 9
9+12 / 3 x 8
now do 3 x 8, which is 24
9+12 / 24
divide 12 and 24, which is one half
9 + 1/2
add this to get 9.5
hope this helped!!
What is the inverse of f(x)=1/3x+2?
Answers
Answer:
[tex]f^{-1}[/tex] (x) = 3(x - 2)
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = [tex]\frac{1}{3}[/tex] x + 2 ( subtract 2 from both sides )
y - 2 = [tex]\frac{1}{3}[/tex] x ( multiply both sides by 3 to clear the fraction )
3(y - 2) = x
change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 3(x - 2)
Answer:
3(x-2)
Step-by-step explanation:
interchange value of x and y
How does understanding the history of credit make you think
differently about credit cards and other forms of debt? Please helpppp!!!
Answers
Knowing the history of credit cards makes you understand why credit cards were created and the reason they were necessary for human societies.
What is the focus of history?History teaches you about the origin of specific elements, in this case, credit cards, and their evolution over time.
Why is history important?History is about both origin and evolution; due to this:
History explains why credit cards emerged and the reason they were necessary.History shows you the way credit cards have changed or stayed the same due to different causes.Learn more about history in: https://brainly.com/question/3583505
#SPJ1
a restaurant chains owners are trying to decide if they want to open up a franchise in your town to help them decide they want to find out how often people in your town go out to eat. A researcher interviews people leaving a local restaurant. Is there a bias in this sampling method? Explain.
Answers
Answer:
It's biased, they are only sampling people who are eating out at the time. It leaves out those not currently at the restaurant.
Step-by-step explanation:
how mant cubic centimeters of air would be needed to completely fill a soccer ball with a radius of 15cm?
Answers
Answer:
14137.17 cubic cm
Step-by-step explanation:
I can see that the radius here is 15cm, and when it says air, I am going to guess we are looking for the volume. We do the equation in order to get the volume, and get the answer 14137.17cm.
IMPORTANT : When it says air- you have to realize it's VOLUME.
radius= 15 cm
to find:the amount of cubic centimeters of air needed to fill the soccer ball.
solution:[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]
[tex]v = \frac{3}{4} \times \pi \times {(15)}^{2} [/tex]
[tex]v = 14137.17 {cm}^{3} [/tex]
therefore, the soccer ball can hold 14137.17 cubic centimeters of air.
A force of 61 N is applied to an area of 750 cm2.
Calculate the pressure in N/m2.
Give your answer to the nearest integer.
Answers
Answer:
813.33 N/m²
Step-by-step explanation:
Before finding the answer to this, let us convert 750cm² to m².
1 m ⇒ 100cm
1 m × 1 m ⇒ 100 cm × 100 cm
--------------
1 m² ⇒ 10000 cm²
x ⇒ 750 cm²
Let us use cross multiplication to find the value of x.
10000x = 750 × 1
10000x = 750
x = 750/10000
x = 0.075
∴ 750 cm² = 0.075 m²
And now let us find the pressure.
Pressure = Force ÷ Area
Pressure = 61 N ÷ 0.075 m²
Pressure = 813.33 N/ m²
How do you calculate scale factor of the sides of figures
Answers
Verify that the figures are similar. Similar figures, or shapes, are ones in which the angles are congruent, and the side lengths are in proportion.
Find a corresponding side length on each figure. You may need to rotate or flip the figure so that the two shapes align and you can identify the ...
Set up a ratio. For each pair of similar figures, there are two scale factors: one you use when scaling up, and one you use when scaling down. If ...
Simplify the ratio. The simplified ratio, or fraction, will give you your scale factor. If you are scaling down, your scale factor will be a proper answer
helppppppppppppppppp meee
Answers
Answer:
Given
Step-by-step explanation:
As I can see, in the question the statement is already given.
will give brainlist I'm not going to waste my time in this multiple question
Answers
Answer:
What's the question?
Step-by-step explanation:
You haven't shown me a question.
Answer:
The answer is A.[tex]98\beta \pi[/tex]
Step-by-step explanation:
Take the transactions of the polynomials and apply the quadratic formula.
PLEASE HELP!!!!I’LL GIVE BRAINLIEST!
find the supplementary angle to an angle
that is 128.9º. explain your answer
Answers
Explanation:
To find the missing number you would take what the angle add up to (180) and subtract it by the given number(128.9). In this case your answer would be 51.1 degrees.
3 consecutive integers have a sum of 120. What is the least of these integers
Answers
Answer:
39
Step-by-step explanation:
39 + 40 + 41 = 120
39 is the least of these integers
Which is the general form of the equation of the circle shown? x2 y2 4x – 2y – 4 = 0 x2 y2 4x – 2y 2 = 0 x2 y² – 4x 2y – 4 = 0 x2 y² – 4x 2y 2 = 0
Answers
The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
How to determine the circle equation?The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Expand
x² + 8x + 16 + y² - 18y + 81 = 25
Collect like terms
x² + y² + 8x - 18y + 16 + 81 - 25 = 0
Evaluate
x² + y² + 8x - 18y + 72 = 0
Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
Read more about circle equations at:
https://brainly.com/question/1559324
The radius of a circle is 5.9 centimeters. Enter the area of the circle, in square centimeters. Round your answer to the nearest hundredth.
Answers
Answer:
the answer is 18.53.... hope this helps
Step-by-step explanation:
how you find the area of a circle is the radius times pi which pi is 3.14
Which is the expression is equivalent to 27/125
a (3/5)3
b 3/5'3
c (3/4)2
d(3'3/5'5)
Answers
Answer:
a
Step-by-step explanation:
(3/5)^3= 27/125
So a is the correct answer
Answer:
Answer option D.
I'm assuming you meant (3/5)'3 for option A.(3/5)^3 also known as (3/5)'3 in your case.If we simplify the expression (3/5)^3 we can see that ^3 means you cube both the numerator and the denominator since 3/5 is in parenthesis.
Numerator:
3 cubed(3^3) would result in
= 9
Denominator:
5 cubed(5^3) would result in
= 125
Hence, you'll get 9/125.
So your answer is;
A, (3/5)'3Will is five years more than twice Maria's age. In five years the sum
of their ages will be sixty. How old is Will now?
Answers
Answer:
Will's Age : 35
Maria's Age : 15
Step-by-step explanation:
Will is five years more than twice Maria's age.
15 doubled is 30 plus 5 is 35.
In five years, when Will will be 40 and Maria will be 20 years, their ages will add up to 60.
Which type of data would be best displayed in a histogram?
Answers
so if yo have 1 hundred and 2 tens +n +1 hundred 4 tens
Answers
Answer:
260+n
Step-by-step explanation:
1hundred and 2 tens +n +1 hundred 4 tens
=120+n+140
=260+n