Write the equation of the parabola with a focus at (-3, -5) and a directrix at y = -7.

Answers

Answer 1

Answer:

The directrix is negative so the equation will be

x^2=4ay

x=-3

y=-5

a=x^2/4y

a=(-3)^2 /4*(-5)

a=9/20

x^2=4*(9/20)*y

x^2=9/5y

Step-by-step explanation:

The directrix always determine the equation to use. It is also important to notice the sign(-+).


Related Questions

Lucas is making accessories for the soccer team. He uses 587.19 inches of fabric on headbands for 35 players and 2 coaches. He also uses 302.05 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

Answers

Answer: 24.5 inches

Step-by-step explanation:

Luca used 587.19 inches for 35 players and 2 coaches:

= 35 + 2

= 37 people.

The inches per person used for headband is:

= 587.19/37

= 15.87 inches

Luca then used 302.05 inches for just players who number 35 to make wristbands. Inches used per player is:

= 302.05/35

= 8.63 inches

Fabric used for each player is therefore:

= 15.87 + 8.63

= 24.5 inches

what is 4.8 × d = 1.2​

Answers

Answer:

0.25

Step-by-step explanation:

1.2 divide by 4.8=0.25

0.25*4.8=1.2

5 = .25

4.8 x .25 = 1.2

On a trip to Spain Kelly brought a piece of jewellery that costs $50.75 she paid for with her credit card with charges of foreign transaction of a 4% fee The foreign transaction fee is

Answers

Answer:

Transaction fee is $1.95 approximately.

Step-by-step explanation:

Let the jewellrey costs $x before transaction fee.

So, we can set up equation for the given information as

x + 4% (x) = 50.75

Convert 4% to decimal by dividing it by 100.

x + 0.04 x=50.75

Simplify the left side of the equation.

1.04 x= 50.75

Divide both sides by 1.04

x= $48.7980..

So, transaction fee = 4% (48.7980)=$1.95 approximately.

Rewrite in simplest terms: -3(-10d+8)+3d−3(−10d+8)+3d

Answers

-3(-10d + 8) + 3d - 3(-10d + 8) + 3d
= 30d - 24 + 3d + 30d - 24 + 3d
= (combining like terms)
= 30d + 3d + 30d + 3d - 24 - 24
= 66d - 48
= 66d/6 and -48/6
= 11d - 8

30 points! Will mark brainliest. No random answer please.

Answers

Answer:

to determine whether the equation of the line parallel or perpendicular.we have to find there slope.

Step-by-step explanation:

2x+3y=15

3y=15-2x

y=15/3 -2x/3

y=5-2x/3

y=-2x/3 +5

so the cooficient tell us the slope of the line so it is -2/3

4x+6y=-48

6y=-48-4x

y=-4x/6 -48/6

y=-4x/6 -8

so the slope of this line is -4/6

now to say two lines are parallel there slope should be the same

-2/3 ≠ -4/6

to say two line are perpendicular with one another the product of there slope should be -1

-2/3 * -4/6

=8/18

=4/9 which is different from -1

they are neither parallel nor perpendicular.

Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Answer:

$1.89 for 3ft

Step-by-step explanation:

3ft x 12in = 36

36in divided by 1.89 = 19.048

18in divided by 0.89 = 20.225

So, buying $1.89 for 3 ft is the better purchase.

find the area of the trapezoid below by decomposing it into fimilar shape?​

Answers

Answer:

168 feet

Step-by-step explanation:

area of trapezoid = length (a)+ breadth(b) / 2 height

Jacob's family traveled 2/7 of the distance to his grandfather's house on Saturday. They traveled 2/5 of the remaining distance on Sunday. What fraction of the total distance to his grandfather's house was traveled on Sunday?

Answers

Answer:

2/7

Step-by-step explanation:

on Saturday, the family drove 2/7 of the total distance

distance remaining after Saturday's trip = 1 - 2/ 7 = 5/7

On Sunday, they drove 2/5 of the remaining distance = [tex]\frac{2}{5} x \frac{5}{7} = \frac{2}{7}[/tex]

Last month rudys tacos sold 22 dinner specials. The next month they sold 250% of last months dinners. How many dinner specials did they sell this month?

Answers

Answer:

55 special dinners

Step-by-step explanation:

From the question,

Last month rudys tacos sold 22 dinner specials.

The next month they sold 250% of last months dinners.

Hence:

250% × 22 special dinners

= 55 special dinners

The number of dinner specials they sold this month is 55 special dinners

write the expression in exponential form.




[tex] \sqrt[5]{ x} [/tex]

Answers

Answer:

[tex]x^{(\frac{1}{5})}[/tex]

Step-by-step explanation:

The expression [tex]\sqrt[x]{y^z}[/tex] can always be be written as its exponential form compatriot [tex]y^{(\frac{z}{x})}[/tex].

the answer is x(1/5)

A rope is tied to a tent for support as shown. Rope Support 14 TL sin What is the length of the rope?​

Answers

Answer: 10ft

Step-by-step explanation:

The pole and the distance between the rope and pole make this appear as though it is a right angled triangle which means that one should be able to calculate the length of the rope by using the Pythagorean rule where:

c² = a² + b²

a = height of right angle triangle

b = length of right angle triangle

c = hypotenuse (length of rope)

c² = 6² + 8²

c² = 36 + 64

c² = 100

c = √100

c = 10 ft

Length of rope = 10ft

Find the mean of the data in the pictograph below.

Answers

The answer is 12. Ann's

Answer:

3 i think..

Step-by-step explanation:

lol  i just added and then multiplied then divided..

the mail slot is 24cm in width and 7cm in length what is the maximum width of the mail slot

Answers

Answer:

24 cm

Step-by-step explanation:

it says that the mail slot is 24 cm in width

Answer:

Step-by-step explanation:

14cm

Find the slope between these two points: (3, 8) and (1, 5).

Answers

the slope is 3/2 (3 over 2)

Answer:

The Slope is 3/2

Step-by-step explanation:

Hope this helps

Help! Thx so much its pretty easy! u guys r da best!

Answers

Answer:

36

Step-by-step explanation:

Conjugate of z = -3-5i

Therefore the expression is equivalent to (-3+5i)(-3-5i).

(-3+5i)(-3-5i)

=(-3)^2-(5i)^2

=9-(-25)

=36

Answer:

z (the conjugate of z) = 34

What is the image point of (-4, 8) after a translation right 3 units and down 3 units?

Answers

Answer:

(-1,5)

Step-by-step explanation:

-4-(-3)=1

8-3=5

Jaden is wrapping presents for his family. He has 7 boxes to wrap altogether. If he has 6 yards of ribbon, how much will he use for each present?

Answers

6 yards for all the presents

A store has a 25% off sale on coats. Marcy saved $18.75 on the coat she bought. What was the original price of the coat?

Answers

Answer:

$25

Step-by-step explanation:

18.75 is 75% of a value. You can easily find the answer by dividing 18.75 and 0.75.

When you have a problem like x*5=30, you divide 30/5 to get 6. Same here, x*0.75=18.75. Divide 18.75/0.75 to get the answer.

Answer:

25 dollars

Step-by-step explanation:

please give the other person a brainliest bc they actually explained it really well

what is 2/3 ÷ 3/4 I really need help​

Answers

Answer:

8/9

Step-by-step explanation:

2/3 ÷ 3/4

2*4/(3*3)

8/9

HELP ASAP!! What is the midpoint of the segment shown below?
(-1, 5) and (-6, -2)

Answers

(-3.5,1.5) mark it the brainliest

Answer:

D) (-7/2 , 3/2)

Step-by-step explanation:

(x1+x2/2), (y1+y2/2)

(-6-1/2),(5-2/2)

(-7/2),(3/2)

Pls help it due ASAP hdhdhd

Answers

Your answer would be D

Help !!!
See question in image.
Please show workings .

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) is

f'(x) = lim(h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-(4x^2-2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4(x+h)^2-2-4x^2+2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{4x^2+8hx+4h^2-4x^2}{h}[/tex]

      = lim( h to 0 ) [tex]\frac{8hx+4h^2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{4h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 )  4(2x + h) ← let h go to zero

f'(x) = 8x

There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?

Answers

Answer:

The ratio of number of purple beads to the number of pink beads is: 15:31

Step-by-step explanation:

Number of pink beads = 31

Number of Purple beads = 15

We need to find ratio of number of purple beads to the number of pink beads

So, The ratio of number of purple beads to the number of pink beads is:

Number of purple beads : Number of pink beads

15 : 31

Since it cannot be simplified further, So

The ratio of number of purple beads to the number of pink beads is: 15:31

Use the information given to write an equation in standard form.

Slope is -2, and (4, 3) is on the line.

Answers

Answer:

[tex]2x+y=11[/tex]

Step-by-step explanation:

Standard form of an equation is written as [tex]ax+by=c[/tex] for some constants [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex].

Slope-intercept form is written as [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.

Plugging in all given values in the problem ([tex]m=-2[/tex], [tex]x=4[/tex], and [tex]y=3[/tex]), we can solve for [tex]b[/tex]:

[tex]3=-2(4)=b, \\b=11[/tex].

Therefore, our equation in slope-intercept form is:

[tex]y=-2x+11[/tex].

Rewriting in this in standard form, we get our answer:

[tex]\fbox{$2x+y=11$}[/tex]

40 pages read in
20 minutes
2 pages
per minute

Answers

2 pages per minute ...

Can someone help please?

Answers

Answer:

a: 36

b: 32

Step-by-step explanation:

Lizard views: 4

Since Ferret has 9 times as much as Lizard views, you can multiply it by 9:

4 x 9 = 36 views

To find the difference, subtract Ferret views with Lizard views:

36 - 4 = 32 views

Help !!!
See question in image.
Please show workings .
​​

Answers

Answer:

gradient = 9

Step-by-step explanation:

The gradient of the tangent at x = a is the derivative [tex]\frac{dy}{dx}[/tex]

Differentiate using the power rule on each term

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex] and [tex]\frac{d}{dx}[/tex] ( constant ) = 0

y = 2x² + 5x - 3

[tex]\frac{dy}{dx}[/tex] = 2.2[tex]x^{2-1}[/tex] + 5[tex]x^{1-1}[/tex] - 0

    = 4x + 5

[tex]\frac{dy}{dx}[/tex] ( x = 1 ) = 4(1) + 5 = 4 + 5 = 9 ← gradient of tangent

Line segment AB is divided by point C in the ratio 1:2. Point A is at (-6, 6) and point C is at (2, 4). What are the coordinates of point B?

Answers

9514 1404 393

Answer:

  B(10, 2)

Step-by-step explanation:

The division by point C means ...

  B -C = 2(C -A)

  B = 3C -2A . . . . . add C and simplify

  B = 3(2, 4) -2(-6, 6) = (3·2 -2(-6), 3·4 -2(6))  . . . .  fill in the coordinate values

  B = (6+12, 12-12)

  B = (18, 0)

7
Express 40 cm as a percentage of 5 m.

Answers

Answer:

40 cm is 8% of 5 m

Step-by-step explanation:

40 cm / 5m

= 40cm / 500cm

= 4/50

= 2/25

= 8%

4/50=2/25=8%.

Answer is=8%.

if this is the graph of f(x)=a^(x+h)+k, then: A. k>1
B. 0 1

Answers

Answer: B: 0 < a < 1

Step-by-step explanation:

The equation we have is:

f(x) = a^(x + h) + k.

k is the value at where we have the horizontal line. In this particular case, we can see that we have a horizontal line at y = -4, then we can conclude that:

k ≈ -4

a is the rate of growth. If a is positive and greater than 1, we would have an increasing function, for example with a = 2, k = 0 and h = 0 we have:

2^1 = 2

2^2 =4

2^3 = 8

This is an increasing function.

Now if a is greater than 0 and smaller than 1, we have a decreasing function (as seen in the graph). For example for a = 0.5, k = 0 and h = 0 we have:

0.5^1 = 0.5

0.5^2 = 0.25

0.5^3 = 0.125

This is a decreasing function.

Then the correct option is B, 0 < a < 1

Answer:

its b

Step-by-step explanation:

a p e x

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