given the vertex (2,9) and the foci (5,9), what is the equation of the directrix

Answers

Answer 1

Answer:

x = -1

Step-by-step explanation:

The vertex is halfway between the focus and the directrix.

So here the directrix is  a vertical line  to the left of the vertex and passing through the point (2-3, 9) = (-1, 9)

It is x = -1.


Related Questions

Explain how to solve for the rate in a simple interest equation if you are given the interest amount, the principal, and the time.

Answers

Answer:

divide the interest amount by the product of the principal and time

Step-by-step explanation:

The simple interest formula is I = prt where I is the interest, p is the principal, r is the rate and t is the time (in years). Rewriting this formula so that r is the subject we get r = I / pt. Therefore the answer is divide the interest amount by the product of the principal and time.

47:PLEASE HELP Find the y-intercept of -x +2y=20

Answers

Answer:

(0,10)

Step-by-step explanation:

-x + 2y = 20

2y = x +20

y = 1/2x + 10

This is slope-intercept form. The y-intercept is 10.

(0,10)

Answer:

(0, 10)

Step-by-step explanation:

Can be simplified to

2y = x+20 by adding x to both sides

then divide by 2 to get to slope intercept form: y = ax+b

b is the y-intercept

y = 1/2x + 10

so the answer is 10

What are the zeros of f(x) = x2 - 8x+ 15?​

Answers

Answer:

x=5   x=3

Step-by-step explanation:

f(x) = x^2 - 8x+ 15

Factor

What two numbers multiply to 15 and add to -8

-5*-3 = 15

-5+-3 = -8

f(x) = (x-5) (x-3)

Setting equal to 0

0= (x-5) (x-3)

Using the zero product property

x-5 =0     x-3=0

x=5   x=3

34.9 was rounded to 1 decimal place. What is the upper bound?

Answers

Answer:  34.95

=======================================================

Explanation:

The upper boundary, or upper bound, is a fence of sorts.

Note how the following values all round to 34.9, when rounding to one decimal place

34.9434.94534.94934.949934.9499934.94999934.949999934.94999999

We can keep going with the pattern of 9s at the end and whatever value you form will still round to 34.9; so you can see that there is no largest value we can reach that will round to 34.9

All of those values are slowly approaching 34.95, which is the upper fence I mentioned. We can get closer and closer to this value, but we can't actually reach it. Otherwise, 34.95 will round to 35.0

(not a joke question) 81 1/4 is equal to 2. true or false and please explain why!

Answers

Answer:

Fasle

Step-by-step explanation:

81 1/4s would be 81/4 which would be 20 and 1/4

What is the measure of ∠x angles are not necessarily drawn to scale.

Answers

Answer:

58 degrees

Step-by-step explanation:

The other two angles are 56 and 66 degrees and you know that all the angles add up to 180 degrees.

So just subtract:

180-56-66= 58 degrees

it works because the lines are parallel in the picture.

Solve the system of equations using substitution.
X = 2
4 = 2y - 6x

Answers

Answer:

-2y=-6(2)-4

-2y=-12-4

-2y/-2=-16/-2

y=8

What is the volume of the sphere shown below?

O A. 69127 units
O B. 23047 units
O C. 1927 units
O D. 57677 units

Answers

Answer:

Step-by-step explanation:

r = 12

V = 4*pi * r^3 / 3

V = 4 * 3.14 * 12^3 /3

V = 4 * 3.14 * 1728 / 3

V = 4 * 5425.92 /3

V = 21703.68/3

V = 7234.56

None of the answers look correct.

Most of the seniors at Roosevelt High School took a math class this year. The graph shows the breakdown: Find the number of degrees for each math class. State the class and the degrees. Show your work.

Answers

Answer:

Step-by-step explanation:

Since, sum of central angles of a circle = 360°

Therefore, sum of all central angles formed by each math class = 360°

And measure of angles formed by each class will be in the same proportion as the percentage of seniors in each class.

Geometry → 27% of 360° = 97.2°

Precalculus → 4% of 360° = 14.4°

Advanced algebra → 33% of 360° = 118.8°

Consumer math → 36% of 360° = 129.6°

Answer:

There are 360 degrees in a circle so I need to do the percentage of 360

Geometry: 27% of 360 = 97.2 °

Consumer Math: 36% of 360 = 129.6 °

Advanced Algebra: 33% of 360 = 118.8 °

Precalculus: 4% of 360 = 14.4 °  

PLS HELP ME IVE BEEN TRYING

Answers

Answer:

try and let me know is it correct or not line A-4 lineB-8

Step-by-step explanation:

i also use mathswatch

how can knowledge of circles apply to daily life??

Answers

Answer:

sdgsdgsdgsdgsdgsd

Step-by-step explanation:

gsdgsdgsdgsdgsd

write an equation to represent the cost of printing photos (C) in terms of the number photos printed (P)

(use picture for the information)

PLEASE answer asap! it will be appreciated.

Answers

Answer: C=0.20p

Step-by-step explanation:

As you could see if you print 10 photos you will have to pay 2 dollars which means if you print 1 photo you will have to pay 20 cents.

This table shows values that represent a quadratic function.
x
0
1
2
3
4
5
6
y
--1
-2
5
-10
-17
-26
-37
What is the average rate of change for this quadratic function for the interval
from x = 3 to x = 5?
A. 8
B. 16
O C. -16
c
D. 8

Answers

Answer:

D

Step-by-step explanation:

The y values change by -26 - (-10) = -16 in the interval and the x values change by 5 - 3 = 2 so the average rate of change is -16 / 2 = -8.

Answer:

D. -8

Step-by-step explanation:

Risked it all for my grades.

In the figure, angle A measures 45° and angle E measures 15°.
The measurement of angle C is___
The measurement of angle D is___

Answers

Answer:

m<C = 45

m<D = 30

Step-by-step explanation:

m<A + m<B + m<C = 180

45 + 90 + m<C = 180

m<C = 45

m<E + m<A = 60

60 + 90 + m<D = 180

m<D = 30

Identify the parts relating to CircleA. What is Line F G? Secant What is Line segment D B? Tangent What is Line segment D H? Secant What is AC? Radius

Answers

Answer:

Line FG  secant

Line segment DH   secant

Line segment DB  tangent

Line segment AC  radius

Step-by-step explanation:

A Secant is a line that passes through the two points on a circle.It cuts the circle on two points.

Line FG is a secant as it passes through two pints.

Line segment DH is also a  secant as it passes through two points.

A tangent is a line that passes through only one point on a circle. It is outside the circle. It is perpendicular to the radius at the point where it touches the circle.

Line segment DB is  a  tangent as it passes through only one point.

Radius is the line segment joining the center of the circle and any point on the circumference of the circle. It is half of the diameter.

Line segment AC is  a radius as it joins the center of the circle with the circumference.

Answer:

1) FG -- Secant

2) DB -- Tangent

3) DH -- Secant

4) AC -- Radius

Step-by-step explanation:

4 friends evenly divided up an n-slice pizza. One of the friends, Harris, ate 1 fewer slice than he received. How many slices of pizza did Harris eat? Write your answer as an expression.

Answers

Answer:

m-2times 4

Step-by-step explanation:

Answer:

n/4 -1

Step-by-step explanation:

i got it from khan

y=-x^2-2x-5 whats the vertex of this parabola

Answers

Answer:

The vertex is (-1, -4)

Step-by-step explanation:

Let's find the vertex by completing the square of y= -x^2 - 2x - 5.

Isolate the first two terms inside parentheses:       y= -(x^2 + 2x) - 5

Now complete the square of the expression inside these parentheses:

y = -(x^2 + 2x + 1 - 1) - 5

and rewrite this as

y = -(x + 1)^2 + 1 - 5, or

y = -(x + 1)^2 - 4

(x + 1) tells us that the x-coordinate of the vertex, h, is -1, and the -4 term tells us that the y-coordinate, k, is -4.  

The vertex is (-1, -4)

Solve for x
3/10 = x/7
Give your answer as an improper fraction in its simplest form!!!!!

Answers

Answer:

x = 21/10

Step-by-step explanation:

3/10 = x/7

Cross multiply.

10x = 21

x = 21/10

Answer:

x is 21/10

Step-by-step explanation:

3/10 = x/7

Multiply through by the LCM of 10 and 7 which is 70

we have

3/10 × 70 = x/7 × 70

21 = 10x

Divide both sides by 10

We have

21/10 = 10x /10

x = 21/10

Hope this helps you

1 Negative numbers do not need the
negative sign (-) in front of them.
O True
O False​

Answers

Answer:

The answer is False

Step-by-step explanation:

Answer:

FALSE ALL NEGATIVE NUMBERS NEED A NEGATIVE SIGHT(-)

Step-by-step explanation:

-1,-2,-3, PLEASE MARK BRAINLEST

Latisha worked for six hours and 45 minutes how should she write that on her time card

Answers

Answer:

Hey there!

6 hrs 45 mins =  405 mins, or 6.75 hours.

Hope this helps :)

Find the value of 5x+9y 45xy, given x = 3/5 and y =7/9.

Answers

Answer:

150

Step-by-step explanation:

5 × 3 ÷ 5 + 9 ÷ 7 × 9 × 4 × 3 ÷ 5 × 7 ÷ 5

3 + 7 × 3 × 7

3+147

150

Christa's distance from school is represented by y=-100x +1300.
Stephen's distance from school is represented by y= -60x +1000.
Using the slope and y-intercept from each equation, find out who lives
farther from school and who walked to school faster.

Answers

Answer:

Christa walked faster and farther than Stephen.

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you think of the y-axis is the "distance" axis (in feet for example), and the x-axis as the time axis (in minutes for example), then what you have is a velocity graph (velocity is the distance traveled divided by the time it takes to get there). If you haven't moved at all, your time is 0 (ON the y-axis) and the distance value (the y-intercept) is where you started. In other words, if no time has gone by, I haven't moved from my initial position yet. So the y-intercept of both of those equations serves as the intial distance each is from school.

In the equation y = mx + b, b is the y-intercept. The y-intercept in Christa's equation is 1300 (in feet) which means that before she leaves her house for school (no time has gone by yet), her initial distance from school is 1300 feet. Likewise, for Stephen. The y-intercept in his equation is 1000, so his initial distance from school is 1000 feet. Christa lives farther away than does Stephen.

Now for the rate they are each walking...

Rate is also (sort of the same thing as) velocity. It is represented in our equation by the m. In a "regular" slope-intercept equation, this would be the slope. Slope is the rate at which something is changing. Since our graph is a velocity graph--distance over time--our slope represents the distance each covers for every minute they walk. Christa's velocity is 100 feet per minute and Stephen's is 60 feet per minute. From this we can determine that Christa walks faster because she covers more feet per minute than does Stephen.

The equations are both negative because they are shortening their distances to the school. By this I mean that as they continue walking to school and the amount of time that goes by gets greater, the distance they are from the school gets smaller.

Hope this helps you understand what linear equations actually mean to the real world!

An A-frame cabin is 26.23 feet high at the center and the angle the floor makes with the base is 53. How
wide is the base?

Answers

Answer:

60.84 feet

solution,

[tex]tan \: theta = \frac{perpendicular}{base} \\ tan \: (53) = \frac{bc}{ac} \\ tan \: (53) = \frac{26.23}{ac} \\ ac = \frac{26.23}{0.4311} \\ ac = 60.84 \: feet[/tex]

Hope this helps...

Good luck on your assignment..

Mariah is completing a language arts review sheet she estimates that it takes her one minute to complete each multiple-choice question and six minutes to complete each essay question this equation represents the total time it takes her to complete X multiple choice question and y essay question X plus 6Y equals 36 select the correct answer from each drop down menu

Answers

Answer:

The answer is below

Step-by-step explanation:

Given the time taken to answer each multiple choice question as one minute, the time taken to x multiple choice question = 1 minute/question × x questions = x minutes

Given the time taken to answer each essay question as six minute, the time taken to y essay question = 6 minute/question × y questions = 6y minutes

Therefore the total time taken to complete X multiple choice question and y essay questions = the time taken to x multiple choice question + the time taken to y essay question = x + 6y

Answer:  

directly off of edmentum                                                  

If a varies directly as the cube root of B and if a equals to 3 when B equals to 64 find the formula connecting the variables hence find b when a equals to 15 / 4

Answers

Answer:

a=k1[tex]\sqrt[3]{B}[/tex]

B=125

Step-by-step explanation:

Given :

a=3

B=64

According to question

a ∝ [tex]\sqrt[3]{B}[/tex]

therefore

a=k1 [tex]\sqrt[3]{B}[/tex]........Eq(1)

K1=[tex]\frac{a}{\sqrt[3]{B} }[/tex]......Eq(2)

Putting the value of a and B we get in Eq(2) we get

[tex]K1=\frac{3}{4}[/tex]

Putting the value of k1 in Eq(1)

[tex]a=\frac{3}{4}\sqrt{B}[/tex] .......................Eq(3)

putting the value of a=15/4 IN Eq(3) we get

[tex]\frac{15}{4}\ =\frac{3}{4} \sqrt[3]{B} \\\\\sqrt[3]{B}\ =\ 5\\Cubing\ both\ side\ we\ get\\B=125[/tex]

Classify the number -61.
1. Integer, rational, real
2. Rational, real
3. Whole, integer, rational, real
4. Natural, whole, integer, rational, real

Answers

Answer:

1. Integer, rational, and real

Step-by-step explanation:

Remember:

(This is how my teacher taught it; yours may have done it differently)

Real numbers are numbers that can be plotted on a number line.

Rational numbers can be represented as a fraction (if they can't be represented as such they are irrational).

Integers are natural numbers, the opposite of natural numbers, and zero.

Whole numbers are natural numbers and zero.

Natural numbers are numbers you can count with.

-61 fits under real numbers, rational numbers, and integers. Assuming you want to be as specific as possible, the answer will be 1. Integer, rational, and real.

Help is much appreciated. It is easy but, for me I am just confused.

Answers

What do you need help on ?
What is the question that you’re confused on or the thing?

Evaluate. 8−2⋅3+7 Enter your answer in the box

Answers

Answer:

9

Step-by-step explanation:

8−2⋅3+7

PEMDAS

Multiply and divide first

8−6+7

Then add and subtract

2+7

9

Answer:

9

Step-by-step explanation:

Remember to follow the order of operations, PEMDAS.  Note that PEMDAS =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, multiply -2 with 3:

-2 * 3 = -6

Next, follow the left -> right rule. First subtract, then add:

8 - 6 = 2

2 + 7 = 9

9 is your answer.

~

The zeroes of the function are . of the zeroes have a multiplicity of 2.

Answers

Answer:

The three roots have a multiplicity of 2

Step-by-step explanation:

The zeros of the function refers to those points on the x-axis on which the curve passes through

These are the points -2,0 and 4

Now we want to determine which of these points has a multiplicity of 2?

The correct answer is that all have a multiplicity of 2 since 2 can be factored out

2(-1) , 2(0) and 2(2)

Answer:

the answer is A. none

expand the following 8 (3x-y)

Answers

Answer:

24x-8y

Step-by-step explanation:

8(3x-y) - distributive property

24x-8y

Answer:

24x - 8y.

Step-by-step explanation:

8(3x - y) = 8 * 3x - 8 * y = 24x - 8y

Hope this helps!

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