Which lines are the directrices of the ellipse?

x = −4.25 and x = 8.25
x = −3.25 and x = 9.25
y = −4.25 and y = 8.25
y = −3.25 and y = 9.25

Answers

Answer 1

The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.

How to calculate the ellipse?

From the information given, the equation of parabola will be:

= (x - 3)²/5² + (y - 2)²/3² = 1

Hence, h = 3, k = 2, a = 5, b = 3

e = ✓1 - ✓3²/5²

E = 4/5 = 0.8

The directix will be:

x = 3 + 5/0.8

x = 9.25

x = 3 - 5/0.8

x = -3.25

Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.

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Related Questions

Katie baked a cake. Her brother ate 1/8 of the cake, her father ate 1/4 of the cake, and her mother ate 1/8 of the cake. How much is left?

Answers

Answer:

1/2

Step-by-step explanation:

hope this helps and have a nice day!

Nathaniel had $40 to spend on 9 beakers for his science class. After buying them, Nathaniel had $4 left. How much did each of the beakers cost?

Answers

Answer:

each baker cost $4

Step-by-step explanation:

4 times 9 is 36, and that leaves 4

Q10. Consider the following algorithm:
g_1 = 9

g_2 = 5
Git
For k starting at 0 and ending with 8:
gk = (k-1)*gk-1 + gk-2

What is the last term, 8, of the recursive sequence generated as a result of
executing this algorithm?

Answers

Answer:

  61,940

Step-by-step explanation:

For a recursive sequence of reasonable length, it is convenient to use a suitable calculator for figuring the terms of it. Since each term not only depends on previous terms, but also depends on the term number, it works well to use a spreadsheet for doing the calculations. The formula is easily entered and replicated for as many terms as may be required.

__

The result of executing the given algorithm is shown in the attachment. (We have assumed that g_1 means g[-1], and that g_2 means g[-2]. These are the starting values required to compute g[0] when k=0.

That calculation looks like ...

  g[0] = (0 -1)×g[-1] +g[-2} = (-1)(9) +5 = -4

The attachment shows the last term (for k=8) is 61,940.

Matthew plays basketball for his high school. On average, he scores 33 points per game, with a standard deviation of 2 points. What percentage of basketball games will result in Matthew scoring less than 27 points?

Note: Assume that a Normal model is appropriate for the distribution of points.

Answers

Answer: Choice B

Matthew will score less than 27 points in about 0.15% of his basketball games.

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

Explanation:

mu = 33 = population mean

sigma = 2 = population standard deviation

Let's find the z score when x = 27

z = (x - mu)/sigma

z = (27-33)/2

z = -6/2

z = -3

A score of 27 points is exactly three standard deviation units below the mean of 33 points.

Now refer to the Empirical Rule chart shown below. Notice that roughly 99.7% of the entire population is within 3 standard deviations of the mean. This is the span from z = -3 to z = 3.

That leaves about 100% - 99.7% = 0.3% left over for the two tails combined.

One tail has about (0.3%)/2 = 0.15% of the total area, and therefor about 0.15% of the total games will have Matthew scoring less than 27 points. This is an estimate of course.

To get a more accurate answer, you can use a Z table to find that

[tex]P(Z < -3) \approx 0.00135 \approx 0.135\%[/tex]

which isn't too far off from the 0.15%

Answer:

I believe is the correct answer

Step-by-step explanation:

a

Solve for x: 3 (square root2-2x)+1=13

Answers

Answer:

x=7

Step-by-step explanation:

3√(2-2x) + 1 = 13

subtract 1 from both sides

3√(2-2x) = 12

Divide 3 from both sides

√2-2x= 4

square both sides

2-2x = 16

subtract 2 from both sides

2x= 14

x=7


1) Which fractions are equivalent to 6/12? Choose ALL the correct answers.
12

Answers

Answer:

Infinite

Step-by-step explanation:

Most common examples are 1/2 3/6 7/14 4/8 2/4 5/10 8/16 50/100

The fractions equivalent to 6/12 are 1/2, 2/4, 3/6, 4/8, 5/10, 6/12, 7/14, 8/16, 9/18, 10/20, 11/22, 12/24, 13/26, 14/28, 15/30, 16/32, 17/34, 18/36, 19/38, 20/40

I will give Brainliest! :<

This meal costs $75.00.

Fatima used a 20% off coupon and then tax was added.

The total after the coupon and tax was $75.00.


What was the tax rate?

Submit and EXPLAIN, please!

Answers

Answer:

25 %

Step-by-step explanation:

75 - 20% = 60

60 + 60 (x) = 75      where x = tax rate  

   x = .25   or 25 %

The answer is 25%
Ik this cause I took the test

HELP QUICK PLEASE!!!

Answers

Answer:

19

please make this answer brainliest If I helped you!

Answer:

c=19

Step-by-step explanation:

110-91=19

129-110=19

148-129=19

                                 

4x19 = 76              (91-76=15)

            76+15 =91

5x19= 95                  ( 110-95=15)

           95+15= 110

6x19 = 114            (129-114 =15)

             114+15=129

7x19=133              (  148-133 =15)

         133+15 = 148

PLEASE HELP!!!!! I"LL MARK AS BRAINLIEST!!!Tom conducted a drawing competition at school. He bought 5 boxes of colored pencils and spent $5.25 on drawing paper. However, more contestants entered than he expected, and he had to buy 2 more boxes of colored pencils. The total cost of the paper and pencils was $82.95. Identify the equation and solution that would help to find the cost of each box of pencils.
A. 5x + 2x + 5.25 = 11.10; $82.95
B. 5x − 2x + 5.25 = 82.95; $11.10
C. 5x − 2x + 5.25 = 82.95; $1.11
D. 5x + 2x + 5.25 = 82.95; $11.10

Answers

C. 5x-2z+5.25=82.95;$1.11

Simplify the polynomial then evaluate for x=-1 3x^2-4+2x-1+x^2

Answers

Answer:

-3

Step-by-step explanation:

Simplified polynomial: 4x^2 + 2x - 5

Plug in -1: 4(-1)^2 + 2(-1) - 5

= -3

You spin the spinner once.
234567
What is P(6)?
Write your answer as a fraction
or whole number.
Helps pls i did 120 questions

Answers

Answer:

1/6

Step-by-step explanation:

There are 6 possible numbers for the spinner to land on, and only 1 of those cases will be where the spinner lands on 6.

Therefore, the answer is 1/6

Complete part (a) and part (b) given the following system of equations x-y=0 2x + 3y = -5 Solve this system graphically.​

Answers

Answer:

(-1, -1)

Step-by-step explanation:

x - y = 0      ------>     x = y

2x + 3y = -5

2(y) + 3y = -5

5y = -5

y = -1

x - (-1) = 0

x = -1

The solution to this system is (-1, -1). To solve graphically, plot both functions and you will see that they intersect at (-1, -1).

I hope this helps!

5>x/5
Show all work in steps

Answers

Answer:

[tex]\boxed{\sf{x < 25}}[/tex]

Step-by-step explanation:

To find the value of x, isolate it on one side of the equation.

5>x/5

First, you have to switch sides.

→ x/5<5

Then, you multiply by 5 from both sides.

→ 5x/5<5*5

Solve.

Multiply the numbers from left to right.

→ 5*5=25

→ x<25

Therefore, the solution is x<25, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

25 > x

Step-by-step explanation:

[tex]5 > \frac{x}{5}[/tex]

To find the value of x, you have to multiply both sides by 5.

[tex]5*5 > \frac{x}{5}* 5[/tex]

[tex]25 > \frac{5x}{5}[/tex]

[tex]25 > x[/tex]

if the cos 30° = sqrt 3/2, then sin 60° =

a. 0
b. 1/2
c. sqrt of 3 /2
d. 1​

Answers

Answer:

C

Step-by-step explanation:

it's well known that the value of sin60 is sqrt 3/2

it's also the same as cos 30

Directions: Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numb
For this problem any non-integer answers should be entered as fractions in simplest form using / as the fraction bar(s).
A spinner has five colored sections of different sizes. Felicia spins the arrow on the spinner and records the color of the section it
lands on in the table below.

Complete the statements based on the given table.
The experimental probability of landing on orange is__


The experimental probability of landing on___is 1/5


The experimental probability of landing on a color that is not blue is___

Answers

Answer:

1/3, Yellow, 3/4

Step-by-step explanation:

All the numbers add up to 60, so using fractions
Red is 11/60
Green is 2/60
Yellow is 12/60
Blue is 15/60
Orange is 20/60

Finding The probability of w/o blue is subtracting 15 from 60 which ends as 45/60, and simplifying that would be 3/4

Part B
Find the equation of a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the
limit you found in part A.

Answers

the equation of the line f(x) slope 3

The function is f(x) = x³ − 4x² + 2.

How to find the slope?

The slope of a line or straight object is the ratio of how much amount of rise occurs in correspondence to the increment in the run.

Find the difference between the y coordinates, Δy is change in y.Find the difference between the x coordinates, Δx is change in x.Divide Δy by Δx to find slope.

As,

Slope = rise/ run

Given:.

f(x) = x³ − 4x² + 2

As a line passing through the same point that f(x) passes through at x = 3 with a slope equal to the limit.

Then the slope of the function is given by the differentiation.

slope= d/dx [f(x)]

slope= d/dx  ( x³ − 4x² + 2)

slope=  3x² - 8x

slope= 3* 3* 3 -8*3

slope= 27-24

slope= 3

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I am a polygon that has two pairs of opposite sides that are parallel what am I

Answers

A Parallelogram because it is a quadrilateral with 2 pairs of parallel sides!

y = x^2 + 8x + 10
Vertex:
Axis of Symmetry:
Y-intercept:

Answers

The answers are:

Vertex: (-4, -6)
Axis of symmetry: x= -4
Y-intercept: y=10

Have a great day

The vertex of the function is (-4, -6), the axis of symmetry is x= -4 and the y-intercept is (0, 10).

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y=x²+8x+10.

Rewrite in vertex form and use this form to find the vertex (h, k).

(-4, -6)

The axis of symmetry is x= -4

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s): (-4+√6, 0), (-4-√6, 0)

y-intercept(s): (0, 10)

Therefore, the y-intercept is (0, 10).

To learn more about the function visit:

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Which will usually always be a higher amount?
A. Compound interest
B. Time
C. Debit
D. Simple interest

Answers

A:compound interest

Cole is buying a pair of sneakers. The expression shown represents the sales tax on the price of the sneakers, p.
0.045p
Write an expression in terms of p to represent the total amount Cole spends on the pair of sneakers, including tax.

Answers

By direct addition, we will see that the expression is:

T = 1.045*P.

What expression represents the total price of the sneakers?

We know that the price of the sneakers is P. We also know that the expression which represents the taxes of the sneakers is 0.045*P.

Now, we can assume that the total price of the sneakers will be the price plus the correspondent tax, then we can write:

T = P + 0.045*P = (1 + 0.045)*P =  1.045*P

This is the expression that represents the total amount Cole spends on the pair of sneakers.

If you want to learn more about addition, you can read:

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1 Whatis the value ofthe expression y 1/2 +z)+6 ( 2 + when y= 2 and 7 = 3 ? 4
.A) 57/8

.B) 19/2

.C) 17/2

.D) 22/3

30 BRAINLY points plus user!!!​

Answers

2(1/2+3/4)+6=

17/2 or 8.5

The answer is C

Answer:

Option C

Step-by-step explanation:

Given:

[tex]y = 2[/tex]

[tex]z = \dfrac{3}{4}[/tex]

Substitute the values into the expression:

⇒ y(1/2 + z) + 6

⇒ 2(1/2 + 3/4) + 6

Make common denominators in the parenthesis:

⇒ 2(1/2 + 3/4) + 6

⇒ 2(2/4 + 3/4) + 6

Simplifying the expression:

⇒ 2(5/4) + 6

⇒ 2 × 5/4 + 6

**Keep in mind that multiplication first, then addtion

⇒ 10/4 + 6

Make common denominators:

⇒ 10/4 + 24/4

⇒ 34/4

Simplify the fraction:

17/2 (Option C)

Find the area and the circumference of a circle with radius 9 ft.
Use the value 3.14 for pie, and do not round your answers. Be sure to include the correct units in your answers.

Answers

Answers:

Area = 254.34 square feet

Circumference = 56.52 feet

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

Work Shown:

Area = pi*(radius)^2

A = pi*r^2

A = 3.14*9^2

A = 254.34 square feet

----------------

Circumference = 2*pi*(radius)

C = 2*pi*r

C = 2*3.14*9

C = 56.52 feet

The two results are approximate since pi = 3.14 is approximate.

1st area of circle:

[tex]\bold{\ area \ of \ circle \ : \pi r^2}[/tex]

[tex]\hookrightarrow \sf (3.14)(9)^2[/tex]

[tex]\hookrightarrow \sf 254.34 \ ft^2[/tex]

2nd circumference of circle:

[tex]\bold{circumference \ of \ circle \ : \ 2\pi r}[/tex]

[tex]\hookrightarrow \sf 2(3.14)(9)[/tex]

[tex]\hookrightarrow \sf 56.52 \ ft[/tex]

area of circle = 254.34 ft²circumference of a circle = 56.52 ft

A student performed the following steps to find the solution to the equation x^2 + 14x + 40 = 0. Where did the student go wrong?

Step 1. Factor the polynomial into (x + 4) and (x + 10)
Step 2. x + 4 = 0 or x + 10 = 0
Step 3. x = -4 or x = 10

A. In step 3

B. The student did not make any mistakes, the solution is correct

C. In step 1

D. In step 2

Answers

Answer:

A. in Step 3

Step-by-step explanation:

It is factored correctly. Then separated into two smaller equations correctly. But in solving x + 10 = 0, there is an error.

x + 10 = 0

Add -10 to both sides.

x = -10

So, the error is in step 3.

Answer:

A . In Step 3.

Step-by-step explanation:

In step 3 the student went wrong

x = 4 or x = -10 is correct

( if x + 10 = 0, then x = -10)

Find the area of the triangle.
16 ft
62 ft

Not drawn to scale.

A. 496 ft2

B. 248 ft?

C. 78 ft2

D. 37 ft2

Answers

Answer:

A. 496 ft2

Step-by-step explanation:

area of a triangle is

1/2 times base times height

1/2 times 16 times 62 =

496

$600 invested at 6% compounded annually for six years

Answers

Answer:

The final balance is $851.11.

The total compound interest is $251.11.

Step-by-step explanation:

please help me Find m< G

Answers

Answer:

70°

Step-by-step explanation:

All angles in a kite equal 360°.∠F≅∠H. 360-(90+90+110) will get you the answer.

(-24uy^2+19u^3y^5)/(-3u^3y^5)

Simplify

Answers

Answer:

  8/(u^2y^3) -19/3

Step-by-step explanation:

The relevant rules of exponents are ...

  (a^b)/(a^c) = 1/a^(c-b)

  a^0 = 1

__

Your expression can be simplified like this:

  [tex]\dfrac{-24uy^2+19u^3y^5}{-3u^3y^5}=\dfrac{24uy^2}{3u^3y^5}-\dfrac{19u^3y^5}{3u^3y^5}=\boxed{\dfrac{8}{u^2y^3}-\dfrac{19}{3}}[/tex]

Write (b^3)^2 without exponents

Answers

Answer:

(b)(b)(b)(b)(b)(b)

Step-by-step explanation:

[tex](b^3)^2=b^6[/tex]

(b)(b)(b)(b)(b)(b)

Answer:

Step-by-step explanation:

(b^3)^2

= b^(3*2)

= b^6

= b*b*b*b*b*b.

Business mathematics.

Mr Kula opens a shopfront where he will lend money to anyone ( without security) if they are willing to pay his interest rate of 2% per week compounded daily. The first customer borrows $5000 to buy a used car, but is unable to pay Mr Kula back for 12 weeks. How much will the customer have to pay back at this time?

Answers

Answer:

$6200

Step-by-step explanation:

2% of $5000 = $100

So that's a hundred dollars per week

12 weeks x $100 = $1200

$5000 (The original amount the first customer borrowed)

+ $1200 (The interest rate)

= $6200

(P.S. Please give me a brainliest if you can)

Simplify the expression. –(3)–4

a)12
b)[tex]-\frac{1}{81}[/tex]
c)81
d)[tex]\frac{1}{81}[/tex]

Answers

Answer:

Answer is {C}

Step-by-step explanation:

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