What are the distances from the point (x,y) to the focus of the parabola and the directrix? Select two answers. A.distance to the directrix: |y+6| B.distance to the focus: (x+4)2+(y−2)2√ C.distance to the directrix: |y−6| D.distance to the focus: (x−2)2+(y+4)2√ E.distance to the directrix: |x+6| F.distance to the focus: (x−2)2+(y+5)2√

Answer:

A

Step-by-step explanation:

The standard form of an explicit formula for a geometric sequence is given by:

[tex]x_n=a(r)^{n-1}[/tex]

Where n is the nth term, a is the initial term, and r is the common ratio.

We are given that the first term is 5. Hence, a = 5.

Also, we are given that the second term is -10. Therefore, the common ratio r is -2, because we multiply the first term by -2 to acquire -10.

Substituting yields:

[tex]x_n=5(-2)^{n-1}, n\geq 1, n\in\mathbb{Z}[/tex]

(Note: Z means the set of all integers. This is required because the term number can only be positive starting from one. For instance, we can't have the 0th term or the 1.5th term.)

In conclusion, the answer is A.

Answer:

Plot the point at the minimum of the graph.

Step-by-step explanation:

If you keep moving the graph down, pick the point with the lowest y value that is still on the blue.

Answer:

Hey there!

(3,5) is your answer.

Hope this helps :)

Answer:

its (3,5)

hope it helps

Answer:

Step-by-step explanation:

$870.57

use equation total = Principal(1 + rate*time)

Answer:

40

Step-by-step explanation:

The 4 in 45 is 40 because it is in the tens place, 4 times 10= 40.  The 5 is 5 becasue it's in the ones place.  :)

It's just place value:

Answer:

The first digit i.e. 4 is called the tens' place. Here, there are 4 tens. The last or right digit i.e. 5 is called the ones' place. Therefore, in the number 45 = 4 tens plus 5 ones = 40 + 5 = 45

Answer:

Step-by-step explanation:

[tex]-4r + 18= 6\\\\\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}\\\\-4r+18-18=6-18\\\\\mathrm{Simplify}\\\\-4r=-12\\\\\mathrm{Divide\:both\:sides\:by\:}-4\\\\\frac{-4r}{-4}=\frac{-12}{-4}\\\\\mathrm{Simplify}\\\\r=3[/tex]

Answer:

2x^3-11x^2+9x+18

Step-by-step explanation:

By multiplying both the binomial and the trinomial given, we obtain a polynomial which contains both as factors. We notice as well that the given trinomial doesn't have 3 as a root (so there is no multiple root x = 3 in the product we obtain:

[tex](-x+3)\,(-2x^2+5x+6)=2\,x^3-5x^2-6x-6x^2+15x+18=2x^3-11x^2+9x+18[/tex]

Then, this new polynomial

[tex]2x^3-11x^2+9x+18[/tex]

has both given polynomials as factors.

Answer:

1.9 liters.

Step-by-step explanation:

The hundredths digit is 5 so we add 1 to the tenths digit.

Answer: 1.9 liter

Step-by-step explanation: the tenth is the first digit after the decimal point. Anything greater than it equal to 5 will be rounded up. So 1.85 is rounded up to 1.9

Answer:

0.02 appears 40,350 times in 807 & 4000 times in 80

Step-by-step explanation:

807/0.02=40,350

80/0.02=4000

Answer: x > 8

2x - 7 > 9

2x > 9+7

2x > 16

2x / 2 > 16 / 2

x > 8

Answer:

y = [tex]\frac{33}{x}[/tex]

Step-by-step explanation:

Use the inverse relationship equation, y = [tex]\frac{k}{x}[/tex]

Plug in what we know to solve for k:

11 = [tex]\frac{k}{3}[/tex]

33 = k

Plug 33 in as k to find the equation:

The equation will be y = [tex]\frac{33}{x}[/tex]

Answer:(f/g)(x)=(1+2x)/(1-3x) where x<>0

Step-by-step explanation:

f(x)= 1/x+2= (1+2x)/x  ,   x<>0

g(x)=1/x-3=(1-3x)/x    , x<>0

=>f(x)/g(x)= (1+2x)/(1-3x)    ,  x<>0

Answer:

Step-by-step explanation:

Price of stock bought = $ 59

% rise = 13%

Price of stock rise :

⇒[tex] \sf{13\% \: of \: 59}[/tex]

⇒[tex] \sf{ \frac{13}{100} \times 59}[/tex]

⇒$ [tex] \sf{7.67}[/tex]

New price is 13% more than $ 59

Hence, New price = $ 57 + $ 7.67

= $ 66.67

Hope I helped!

Best regards!!

Answer:

A. = 27 B. = 16

Step-by-step explanation:

A. 36/4 = 9 3X9 = 27

B. 36/9 = 4 4X4 =16

Answer:

- 4

Step-by-step explanation:

Tan(45°) - 10 * cos (60°) =     - 4

Answer:

The answer is

Step-by-step explanation:

Since the rectangular box is a cuboid,

Total surface area of a cuboid is given by

Where

l is the length

w is the width

h is the height

From the question

l = 10 cm

w = 8cm

h = 6cm

Substitute the values into the above formula

That's

Total surface area of the rectangular box is

2 [ (10)(8) + (8)(6) + (10)(6) ]

2 [ 80 + 48 + 60 ]

2( 188)

We have the final answer as

Hope this helps you

Answer:

2/3 3/5 1/6

Step-by-step explanation:

look at the denominators and arrange from least to greater

Leigh uses  [tex]\frac{1}{6}[/tex] of full bottle of hot sauce

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given,

A bottle of hot sauce is 3/4 full.

Leigh uses 2/9 of the contents of the hot sauce bottle for lunch.

Therefore

How much of a full bottle of hot sauce did Leigh use for lunch = [tex](\frac{3}{4}).(\frac{2}{9})[/tex]

= [tex]\frac{1}{6}[/tex]

Hence, Leigh uses  [tex]\frac{1}{6}[/tex] of full bottle of hot sauce

Learn more about Unitary method here

https://brainly.com/question/22056199

#SPJ2

Answer:

2. 9, 8+9

3. 17-8=9, 17, 8, 9

4. 13-7=6

Step-by-step explanation:

Step-by-step explanation:

66. Δy = -3.4 Δx

Δy/Δx = -3.4

The slope of the line is -3.4. Slope-intercept equation of the line is:

y = -3.4x + b

Plug in the given point to find b:

2 = -3.4(4) + b

b = 15.6

Therefore, the equation is y = -3.4x + 15.6.

Use the equation to find the y coordinates.

[tex]\left[\begin{array}{cc}x&y\\-4&29.2\\4&2\\6&-4.8\\18&-45.6\end{array}\right][/tex]

68. Repeat the same steps as 66.

Δy = -1.7 Δx

Δy/Δx = -1.7

The slope of the line is -1.7. Slope-intercept equation of the line is:

y = -1.7x + b

Plug in the given point to find b:

3 = -1.7(-7) + b

b = -8.9

Therefore, the equation is y = -1.7x − 8.9.

Use the equation to find the x or y coordinates.

[tex]\left[\begin{array}{cc}x&y\\-19&23.4\\-7&3\\-2.412&-4.8\\3.2&-14.34\\9.1&-24.37\end{array}\right][/tex]

Answer:

Given = A △ABC in which D and E are the mid-points of side AB and AC respectively. DE is joined .

To Prove : DE || BC and DE = 1 / 2 BC.

Const. : Produce the line segment DE to F , such that DE = EF. Join FC .

Proof : In △s AED and CEF, we have

AE = CE [∵E is the mid point of AC]

∠AED = ∠CEF[vert. opp.∠s]

and DE = EF [by construction]

∴ △AED ≅ △CEF [by SAS congruence axiom]

⇒ AD = CF ---(i)[c.p.c.t.]

and ∠ADE and ∠CEF ---(ii) [c.p.c.t.]

Now, D is the mid point of AB.

⇒ AD = DB ---(iii)

From (i) and (iii), CF = DB ---(iv)

Also, from (ii)

⇒ AD = || FC [if a pair of alt. int. ∠s are equal then lines are parallel]

⇒ DB || BC ---(v)

From (iv) and (v), we find that DBCF is a quadrilateral such that one pair of opposite sides are equal and parallel.

∴ DBCF is a ||gm

⇒ DF || BC and DF = BC [∵opp side of ||gm are equal and parallel]

Also, DE = EF [by construction]

Hence, DE || BC and DE = 1 / 2 BC

Answer:

2(x+5) = 2x+10

Step-by-step explanation:

2(x+5)

= 2*x + 2*5

= 2x+10

its 46.

42+8/2

42+4

=46

Answer:

Following are the answer to this question:

Step-by-step explanation:

In-state 0, it has urns of the 100% chance of shifting towards state 1 because a colored ball must be substituted.  

In the [tex]state 1: \frac{1 \ white}{2 \ black} \ \ \ and \ \ \frac{2 \ white}{1 \ black}[/tex]

The probability to select White from both the probability to select Black from both are 2/9, therefore there are 4/9 possibilities to remain in State 1.  

It is probable which white from both the beginning is selected and black from the second, so that 1/9 probability of 0.  

The probability is 4/9 that the first black and the second white will be chosen and 4/9 possibility will be made to state 2.

In the [tex]state 2: \frac{2 \ white}{1 \ black} \ \ \ and \ \ \frac{1 \ white}{2 \ black}[/tex]

This is essentially a state 1 mirror image because identical claims are used for reverse colors.  

In-State 3, the urns are 100% likely to revert to State 2.  

It is the representation of matrix M is, therefore:

[tex]( ..0. ..1. ..0. ..0. )\\\\( \frac{1}{9} \frac{4}{9} \frac{4}{9}.. 0. )\\\\( ..0. \ \frac{4}{9} \ \frac{4}{9} \ \frac{1}{9})\\\\( ..0. ..0. ..1. ..0. )\\\\So, \\ X_n = M \times X_{n}-1 \\\\Or\\X_n = M^n \times X_0[/tex]

Answer:

D) 0

Step-by-step explanation:

Remainder is zero as 10 is fully divisible by 2.

Proof:

Correct choice is D) 0

Answer:

(3 + 4i) + (8 + 2i) = 3 + 4i + 8 + 2i

(3 + 4i) + (8 + 2i) = (3 + 8) + (4i + 2i)

(3 + 4i) + (8 + 2i) = 11 + 6i

hope it helps if yes mark me BRAINLIEST!

Tysm!

:)

Answer:

11 + 6i

Step-by-step explanation:

Well, by the looks of it, you're combining like terms.  Just add numbers that have the same variable or jut add coefficients:

(3 + 4i) + (8 + 2i)

=  3 + 4i + 8 + 2i

= (3 + 8) + (4i + 2i)

= 11 + 6i

Step-by-step explanation:

It is given that,

A building is 34 inches wide. Its 14 inches is concrete, 12 inches is brick, and 8 inches is limestone. We need to find the fraction of the wall is brick.

A fraction is in the form of x/y. y is total value and x is a part of y.

Here, 12 inches is brick. So, its fraction is :

[tex]F=\dfrac{12}{34}=\dfrac{6}{17}[/tex]

So, fraction of [tex]\dfrac{6}{17}[/tex] is the wall which is brick.

Answer: C, 16

Step-by-step explanation:

6n - 2 when n = 3

Replace n with 3

1. 6(3) -2

2. 6(3) =18

3.18-2 = 16

Answer is 16.

Answer: C: 16

Step-by-step explanation: 6*3 =18. 18-2=16