A parabola can be drawn given a focus of (1, 10) and a directrix of
y = 4. What can be said about the parabola?

Answers

Answer 1

Answer:

The parabola has an absolute minimum and its vertex is located at (1, 7).

Step-by-step explanation:

Since the directrix is below the focus, we infer that parabola has an absolute minimum, where there is a vertex, which is the midpoint of the line segment between (1, 10) and (1, 4). By definition of midpoint, we conclude that vertex is located at (1, 7).


Related Questions

What is the median of the first half of the data? (first quartile)

Answers

Answer:

$273

Step-by-step explanation:

1. Find the first half of the list (There are 8 numbers in the list, so the first four)

2. List them from least to greatest ($196, $248, $298, $379)

3. find the middle of the numbers ($248, $298)

4. Since there are 2, we find the mean of the 2 numbers ($273)

5. So the answer is $273

What is the greatest common factor of
3x^3 – 9x + 3

Answers

Answer:

3(x^3-3x+1)

hope this helps!

What is the slope for this question?

Answers

Answer:

[tex]-1[/tex]

Step-by-step explanation:

This is a really nice line that goes through a lot of grid points (where the lines intersect).

One easy way to find the slope is the phrase "rise over run."  "Rise" is the name for vertical motion from point-to-point.  "Run" is the name for horizontal motion from point-to-point.

Pick two easy points on the line, say (0, 0) and (1, -1).

If you go from (0, 0) to (1, -1), the rise is -1 -- because you went DOWN 1 unit.

The run is 1 -- because you went RIGHT 1 unit.

[tex]\frac{\text{rise}}{\text{run}} =\frac{-1}{1} =-1[/tex]

The slope is -1.

Cool fact:  You'll get the same value if you use any two points on the line.

PLEASE HELP I NEED QUALITY ANSWERS AS WELL WILL MARK BRAINLIEST!!!

True or False: The area of a circle with diameter d = 2r = 10 is greater than the area of an ellipse with major axis 2a = 10. Explain your answer. Note: the area of an ellipse is calculated with the formula = (with ‘a’ the length of the semi-major axis and ‘b’ the length of the semiminor axis). Explain why as well.

Answers

Answer:

True

Step-by-step explanation:

So the radius would be 5 (as you times it by 2 to get 10)

Therefore

2a=10 is the same as what the circle with diameter d=2r=10

If a particular type of brick weighs 30 lb. per cubic foot, how much will a stack of bricks 4 ft. by 7 ft. by 8 ft. weigh?

Answers

Answer:

6720 lbs

Step-by-step explanation:

guessing

4 × 7 × 8 = 224 cubic feet

224 x 30 = 6720

PLZ HELP ITS DUE RN BRAINIEST TO WHOEVER RIGHT!

Answers

Answer:

About -5.8 and -.2

Step-by-step explanation:

Zeros at -5.828 and -.172

CAN SOMEONE PLS PLS PLS PLS ANSWER THESE ITS DUE TODAY AND ILL GIVE BRAINLY

Answers

10) D

11)B

12)D

13)A

14) xy = 12

15)C

16)D

17) 2, 3, 4

18) B

Answer:

A.)

B.)

D.)

C.)

Q:14.) they are the same

A.)

D.)

C.)

Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer:

p=9

Step-by-step explanation:

p = 9

isolate the variable by dividing each side by factors that don’t contain the variable

Find P (Horse/Female) Hint: P(A and B)/P(B)

Answers

the answer is 6 at the top and 9 at the bottom but the answer for that question is 6.

Answer:

1/13

Step-by-step explanation:

Step 1: Find the number of horses and divide it by the number of females.

2 Horses / 26 Females

Step 2: Simplify the fraction.

1 Horse / 13 Females

Final Answer:

1/13

Kelli Rae invested $220,000 in a savings account with simple interest. After 10 years, Kelli Rae had $250,000. What is the interest rate on this account?

Answers

Answer:1.36%

Step-by-step explanation:

I just took the exam and my answer was correct.

If a tank leaks 10 mL of fluid each hour, how long will it take to fill up a one-litre jar?

10 hours
1,000 hours
1 hour
100 hours

Answers

Answer:

100 hours

Step-by-step explanation:

To find the amount of liters in one hour, you divide 10 by 1000, which gives 0.01 liters each hour. From here, the 1 is in the hundredths place, so if you multiply by 100 hours, if will be at 1 liter.

Find the Average 
100-90-80-89-75-0

Explain how u got ur answer


Someone help I will give brainlist for whoever explains it

Answers

add all numbers and divide by how many numbers you have.

Answer:

72.3

Step-by-step explanation:

So, to find the average you need to add all the numbers together and divide it by the amount of numbers there are, if that makes sense.

so in your question: 100 + 90 + 80 + 89 + 75 + 0= 434

and there are 6 numbers that you had to add together, so you divide 434 by 6, which is 72.3 so that's the answer! It's quite easy once you understand how to do it :)

Gia has 80 tiles each tile is white or blue she arranges the tiles in 8 equal rows each row has an equal number of white and blue tiles how many blue tiles are in each row

Answers

Answer:

5 blue and 5 white tiles per row

Step-by-step explanation:

80/8 =(10-this is the amount per row)then divide 10 by 2 to factor in your different different tiles)

Work Check:

80/8rows=10/2colors=5 this means 5 blue and 5 white per row

given g(x)=-x-3, solve for x when g (x) =6

Answers

Answer:

x = - 9

Step-by-step explanation:

Given g(x) = - x - 3 and g(x) = 6, then equate, that is

- x - 3 = 6 ( add 3 to both sides )

- x = 9 ( multiply both sides by - 1 )

x = - 9

Answer:

-9

Step-by-step explanation:

g(-6) = -6 - 3

g(-6) = -9

Help me pls
A dance team is going to spend $1,440 to Purchase all sweatshirts or all jackets for the team members. Sweatshirts cost $24 each. Jackets cost $32 each. What is the greatest number of sweatshirts or jackets th team can Purchase?

The team can Purchase ___________ sweatshirts or ___________ jackets.

Answers

Answer:

They can get 60 sweatshirts or 45 jackets

Step-by-step explanation:

1440/24 for sweatshirts and 1440/32 for jackets.

Answer: 60 sweatshirts or 45 jackets

Step-by-step explanation:

What single decimal multiplier would you use to increase by 9% followed by a 6% decrease?

Answers

Answer:

0.9646

Step-by-step explanation:

:)

9646 pretty sure thats right

Congruent, similar, or neither ?

Answers

4/14 does not = 6/20

2/12 does not = 3/18

Thus, NEITHER is the answer.

A chocolate bar cost 2 dirham. Alyazia spends 18dh on chocolate bars for her siblings. Write an equation to express how many chocolate bars she bought.




pllssss helpppp

Answers

Answer:

ok all you have to do is solve the equation

Answer:

A chocolate bar = 2 dirham

amount of money Alyazia spends      = 18 dirhams

on chocolate bars for her siblings are

∴ the number of chocolates Alyazia are = 18/2 = 9

Alyazia bought 9 chocolates

hope this answer helps you.....

Which is the best estimate of a 15% tip on a restaurant bill of $88.90?

Answers

Answer:

20.25?

Step-by-step explanation:

Calculate the Mean Absolute Deviation of these data. Round answers to the nearest tenth (one decimal place).

12, 17, 20, 8, 13

Answers

Answer:

18/5

Step-by-step explanation:

12+17+20+8+13 =70

70/5 = 14 which is the mean

the distances from the mean are

2 3 6 6 1

add them which is 18 then divide by 5 to find the mean

18/5

Put these numbers in order, from least to greatest. If you get stuck, consider using the number line. with a picture

Answers

Answer:

Step-by-step explanation:

When we proceed from left to right on a number line, numbers get bigger.

That means (-5) on the given number is the least and 5 is the greatest.

By this rule, order of the numbers will be,

-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8

Now we can place these numbers on the number line as shown.


Solve for x.
8x-132
5x+8

Answers

answer: x=46.7

8x-132=5x+8
+132
8x=5x+140
-5x
3x=140/3

find fgh this is geometry!

Answers

Answer:

        m∠FGH  = 79°

Step-by-step explanation:

m∠FGH = 360° - 101° - 2×90° = 79°

The first three terms of a geometric sequence are as follows.
160, 80, 40
What is the next two terms of this sequence

Answers

Answer:

20, 10

Step-by-step explanation:

This sequence is dividing by 2. Therefore, 40 divided by 2 is 20 and 20 divided by 2 is 10

The right end of this board lines up with the marks halfway between 4 and 5 (Iready) How long is the board?

Answers

Answer:

[tex]Halfway = 4.5[/tex]

Step-by-step explanation:

Given

4 and 5

Required

Determine the halfway

This is calculated as:

[tex]Halfway = \frac{1}{2}(4 + 5)[/tex]

[tex]Halfway = \frac{1}{2}(9)[/tex]

Remove bracket

[tex]Halfway = \frac{1}{2} * 9[/tex]

[tex]Halfway = 4.5[/tex]

Answer: 4 1/2

Step-by-step explanation:

does anybody know the answer?

Answers

they’re parallel it’s the option your mouse is on in the picture.

Answer:

Option B:

Step-by-step explanation:

As,

It has shown that line d cuts line b by making 90° so those lines are called perpendicular bisectors

Hence,

Option B is the correct symbol shown for perpendicular bisector of line d to line B.

Write a function for the line with a slope of −14 that passes through the point (4, 5)

Answers

Answer:

y = -14x + 61

Step-by-step explanation:

y = mx + b

First, we can find the slope by reading the question and plugging in the slope of -14 into a slope-intercept formula.

y = (-14)x + b

Now, we need to find the "b" value. We can plug anything we want in for x and y here, but we want the equation for the line that passes through the the point (4,5). Plug in 4 into the x value and 5 into the y value, and solve for b.

5 = (-14)(4) + b

(Flip the equation, so we can solve for b.)

b = 5 - (-14) (4)

(Multiply.)

b = 5 - -56

(Substitute the double minus for a plus sign and add.)

b = 5 + 56

b = 61

Now, plug in your "b" value into our original equation.

FINAL ANSWER:

y = -14x + 61

The point (- 3, 6) is on a circle with a center at (2, 3) What is the equation of the circle?

Answers

Answer:

[tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle

Step-by-step explanation:

[tex](x - h)^{2} + (y - k)^{2} = r^{2}[/tex]   where (h, k) is the center and r is the radius

In this case h = 2 and k = 3 and r = 6 (see below)

r adius =

[tex]\sqrt{(2 + 3)^{2} + (3 - 6)^{2} } \\= \sqrt{5^{2} + (-3)^{2} } \\= \sqrt{25 + 9\\}\\ = \sqrt{36} = 6[/tex]

Therefore,  [tex](x - 2)^{2} + (y - 3)^{2} = 36[/tex] is the equation of the circle

The point (- 3, 6) is on a circle with a center at (2, 3) So, the equation of the circle will be (x-2)^{2} +(y-3)^{2}= 6^{2}.

What is the general equation of a circle?

The general equation of a circle of radius represents all the points that lie on the circumference of the given circle.

The general equation of a circle is:

[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

where (h, k) is the center and r is the radius

The point (- 3, 6) is on a circle with a center at (2, 3).

here, h = 2 and k = 3

[tex]\sqrt{(2+3)^{2} +(3-6)^{2}} \\\\\sqrt{5^2+3^2} \\\\\sqrt{36} \\\\6[/tex]

therefore, the radius is 6 units.

Now, the equation of a circle is:

[tex]\rm (x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

[tex]\rm (x-2)^{2} +(y-3)^{2}= 6^{2}[/tex]

Learn more about the equation of a circle;

https://brainly.com/question/10618691

The measures of three of the interior angles of a quadrilateral are 60°, 110°, and 90°. What is the measure of the fourth angle of this quadrilateral?

Answers

Answer:

100°

Step-by-step explanation:

all four angles added together total 360°

x = 360° - 60° - 110° - 90°

x = 100°

Identify the lateral area and surface area of a right cone with radius 6 cm and slant height 13 cm.

Answers

Answer:

The lateral surface area is about = 269.747749 m squared

The surface area is about  = 382.787749 m squared

Step-by-step explanation:

Answer:

L = 245 cm2 ; S = 358.1 cm2

Step-by-step explanation:

The lateral area of a right cone with radius r and slant height l is L=πrl.

The figure shows a right cone.

Apply the formula for the lateral area of a right cone L=πrl.

Substitute the known values for the radius r=6 cm and the slant height l=13 cm.

L=π(6)(13)=78π

Use a calculator to approximate. Round your answer to the nearest whole number.

L≈245

The lateral area of the cone is 245 cm2.

The surface area of a right cone with lateral area L and base area B is S=L+B, or S=πrl+πr2.

Substitute the given value for the radius r=6 cm into the formula for the area of a circle, B=πr2.

B=π(6)2=36π

Therefore, the base area is 36π cm2.

To calculate the surface area of the cone, substitute the known values into formula for surface area.

S=78π+36π=114π

Use a calculator to approximate. Round your answer to the nearest tenth.

S≈358.1

Therefore, the surface area of the cone is about 358.1 cm2.

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