Mathematics High School

A parabola has focus (5,1) and directrix y=-3.
Where is the parabola’s vertex?

Answers

Answer 1

Answer:

vertex = (5, - 1 )

Step-by-step explanation:

The focus and directrix are equidistant from the vertex

Since the equation of directrix is y = - 3 then the parabola is vertical,

The distance between the focus and directrix is

| 1 - (- 3) | = | 4 | = 2

Thus the vertex is 2 units below the focus

vertex = (5, 1 - 2 ) = (5, - 1 )

Answer 2

A parabola has focus (5, 1) then the vertex of the parabola will be (5, -1).

What is a Parabola?

A location on the curve that is equally spaced from both a fixed location and a fixed line is referred to as a parabola. The parabola's focus requires and fixed line are referred to as its foci and directrix, respectively.

As per the given information in the question,

The focus and directrix are equidistant from the vertex then,

The parabola is vertical because the directrix's equation is y = - 3; hence, the focus and directrix are separated by:

|1 - (-3)| = |4| = 2

The vertex is therefore 2 units below the focus.

vertex = (5, 1 - 2) = (5, -1)

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Related Questions

In ΔNOP, the measure of ∠P=90°, the measure of ∠N=27°, and PN = 50 feet. Find the length of NO to the nearest tenth of a foot.

Answers

Answer:56.1

Step-by-step explanation:

Clicked see solution

Solve the linear inequality: x ≤ -x + 4

Answers

Answer:

x ≤ 2

Step-by-step explanation:

i hope this helps :)

A telephone pole that is 14 ft. tall has fallen against a house. If the top of the telephone pole touches the house 10 ft. above the ground, what is the angle that the telephone pole makes with the ground?

Answers

Answer:

45°

Step-by-step explanation:

made a special triangle 45-45-90,

Answer:

45.6 degrees

Step-by-step explanation:

see image

A restaurant sells large and small bowls of soup. A 150-ounce pot of soup can make 10 large bowls. A small bowl of soup is 3/5 the size of a large bowl. How many small bowls of soup can be served from a 108 once pot of soup

Answers

12 small bowls of soup can be served from a 108 ounce pot of soup

150-ounce pot of soup can make 10 large bowls. Hence:

Number of ounce in each large bowl = (150 / 10) = 15 ounce per bowl

For 108 ounce pot of soup:

Number of bowls = 108 ounce / (15 ounce per bowl) = 7.2 large bowls

1 small bowl =  (3/5) large bowl

7.2 large bowl = 7.2 large bowl / (3/5 large bowl per small bowl) = 12 small bowls

Therefore, 12 small bowls of soup can be served from a 108 ounce pot of soup.

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B3BB
Which graph represents the solution set of the inequality x+226?
986
08
4
9 S
7
8
6
+
0 1 -
SS 986
1
2
3
S
6
7
6 8
1 S 986
0
1
2 3
4.
5
9
7 8 9
0
1
2
S
4
5
9
B 2
6

Answers

Answer:

C is correct

Step-by-step explanation:

Firstly, we have to solve for x in the solution set of the inequality

We have this as follows;

x + 2 ≥ 6

x ≥ 6-2

x ≥ 4

To graph this, we consider the middle sign which is greater than or equal to

So, the inequality sign has to face the right side

secondly, it has to be shaded on the point 4 due to the fact that it has the ‘equal to’ beneath the single inequality symbol

so, the correct answer here is option C

Given m||n, find the value of x.

Answers

Answer: T be honest i really don't know.

Step-by-step explanation:

Answer:

x=29

Step-by-step explanation:

Based off of the Consecutive Interior Therom, Angle 1= Angle 2. With this given, you get:

6x-1=5x+28

-5x. -5x

x-1=28

ANSWER:

x=29

In a survey taken 6/10 of students chose to attend in person learning on Mondays. 3/10 of students chose Tuesdays. How many students chose Monday or Tuesday?

Answers

Answer:

9/10 students chose Monday or Tuesday.

or

90% of students chose Monday or Tuesday

Explanation:

We add both fractions 6/10 + 3/10 which equals 9/10

Rhea draws rows and columns on a big piece of paper to make 16 same-sized squares. How many rows and columns does she draw? I

Answers

Answer:

4 rows and 4 columns

Step-by-step explanation:

Given

16 same sized squares

Required

Determine the number of rows and columns

Since the shape formed is a square, then the following relationships exist:

[tex]Row * Column = 16[/tex]

[tex]Row = Column[/tex]

[tex]Row * Column = 16[/tex] can then be rewritten as:

[tex]Row * Row = 16[/tex]

[tex]Row^2 = 16[/tex]

Take square roots of both sides

[tex]Row = \sqrt{16[/tex]

[tex]Row = 4[/tex]

[tex]Row = Column[/tex] implies that:

[tex]Row = Column = 4[/tex]

First correct answer gets brainliest! All guesses will be reported. Tysm!!

Answers

Answer:

90 in

Step-by-step explanation:

360/60 = 6

15*6 = 90

Find the GCF of the group of monomials

9a^2b^3 and 15ab^2 and 21a^4b^3

Answers

Answer:

3ab^2

Step-by-step explanation:

The GCF of 9, 15, and 21 is 3.

The GCF of a^2b^3, ab^2, and a^4b^3 is ab^2.

The answer is the product of the two terms which is 3ab^2.

Please answer correctly and no links pls

Answers

Answer: 13.) 49,  14.) 64

Step-by-step explanation:

7x7=49, 8x8=64

The radius of Cylinder A measures ____ feet.

14, 7, 10

The radius of Cylinder B measures ____ feet.

1.4, 2.8, 5.7

Answers

Answer:

The radius of Cylinder A measures 7 feet.

The radius of Cylinder B measures 2.8 feet.

Step-by-step explanation:

The radius of Cylinder A measures 7 feet.

because the radious is half of the diameter and 14 is the diameter

The radius of Cylinder B measures 2.8 feet.

Answer:

Cylinder A's radius is 7 because the radius is diameter divided by 2.

Cylinder B's radius is 2.8 because the height of Cylinder A is 5 times bigger than Cylinder B's height.

Step-by-step explanation:


find the surface area of the following cylinder. Round your answers to the nearest tenth.

Answers

Answer:

233

Step-by-step explanation:

2=33=2=

What is the mean of the data set? 17, 24, 26, 13 *
Mark only one oval.
4
13
20

Answers

Answer:20

Step-by-step explanation: 17+24+26+13=80

Divide by how many numbers there are. Answer: 20

Answer:

20

Step-by-step explanation:

Mean = Sum divided by the number of terms

(17+24+26+13)/4

(80)/4 = 20

Mean = 20

Eight figures are below. Which ones are polygons?


Type your answer as a list, separated by commas. For example, if you believe A, B, and C are polygons, type A, B, C.

Answers

Answer:

A,C,D is the answer

Answer:

C. is the answer................

Henry has a box of toys that weighs 7 pounds. He has another box of toys that weighs 84 ounces. How many ounces do both boxes weigh altogether?

Answers

Answer:

196 ounces

Step-by-step explanation:

1 pound = 16 ounces

16 x 7 = 112

112 + 84 = 196 ounces

Which quadrant point (0,2) is located in the coordinate plane

Answers

Answer: It would be on the first quadrant plane or I quadrant

Step-by-step explanation: first the x 0 so you do nothing then y says go up 2 so you do and you end up in the first quadrant place hope this helps

A four day camping trip costs 800$. The camper rental fee was 340$. Also included were four camper tickets. How much was each ticket?

Answers

Answer:

$115 each

Step-by-step explanation:

(800 - 340)/4 = 115

the ratio of dog to cats in the shelter was 4 to 6 if there were 12 cats how many dogs would there be

Answers

Answer:

8 dogs

Step-by-step explanation:

If there were 6 cats, there would be 4 dogs. Since there is double that amount of cats, then we just double the amount of dogs from 4 to 8, our final answer.

I would appreciate Brainliest but no worries.

yeah please help me

Answers

Answer:

Its B and E

Step-by-step explanation:

PLS MAKE ME BRAINLIEST

There are 48 students in a class and 6 of them are girls. What percent are boys

Answers

Answer:

87.5%

Step-by-step explanation:

If there are 48 students in total and 6 girls, then the remaining students are  boys

The number of boys = 48 - 6 = 42

Now, calculate the %

42/48 x 100 = 7/8 x 100 = 87.5%

Hope this helps

If there are 48 students in a class and 6 of them are girls then the percentage of boys in the class is 87.5%,

Use the concept of percentage defined as:

A figure or ratio that may be stated as a fraction of 100 is a percentage. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.

The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.

Given that,

Number of students = 48

Number of girls = 6

Then number of boys = 48 - 6

The number of boys = 42

Therefore,

The percentage of boys in the class is,

[tex]\dfrac{42}{48}\times 100= 87.5 \text{ percent}[/tex]

Hence,

There are 87.5 percent of boys in the class.

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The sum of three consecutive odd integers is 189. What
are the integers?

Answers

Answer:

61, 63, 65

Step-by-step explanation:

n + n+2 + n+4 = 189

3n = 183

n = 61

Answer:

The three consecutive odd integers are 61, 63, and 65

Step-by-step explanation:

Let the three consecutive odd integers be:

n + 1, n + 3 and n + 5

Therefore:

n + 1 + n + 3 + n + 5 = 189

3n + 9 = 189

3n = 180

n = 60

n + 1 = 61

n + 3 = 63

n + 5 = 65

HELP HEP HELP LAST ONE OMG

Answers

can you take another photo the top part is a bit cut off

Can you answer 1 and 2

Answers

Answer:

You have them both correct. #1 is B   #2 is C

Step-by-step explanation:

What is the value of x in the figure?
40°
70°
OA 40°
OB. 70°
OC 80°
OD. 120°
OE
150°

Answers

Answer:

it is B 70° because if you add 40° + 70° = 110°

so then you need to subtract that from 180°.

180° - 110° = 70°

The measure of angle x is 150 degree.

What is Supplementary Angle?

The definition of "supplementary" in mathematics relates to angles that combine to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles.

As, the angle adjacent to 70° angle

= 180- 70

= 110°

Now, the angle supplement to x

x = 180 - (40+ 110)

x = 180 - 150

x = 30

So, the measure of angle x is 150 degree.

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which set of ordered pairs is a function?

Answers

Answer:

I believe the third option is correct!

{(-5,1), (-3,2), (-1,3), (1,4), (3,5)}

Hope this helps!

My grandmother’s cookie recipe uses 4 cups of sugar to make 35 cookies. My Uncle’s cookie recipe uses 3 cups of sugar to make 28 cookies. Whose cookies are sweeter?
Grandma's
Uncle's

Answers

Answer:

uncle's cookies

Step-by-step explanation:

Answer:

I think ur answer would be uncle cookies

Step-by-step explanation:

srry if wrong

hope this helps!

The sum of the digits in a two digit number is 5. If 27 is subtracted from the number then places of the digits are interchanged. Find the number. Please answer this with clarification! Thankyou<3

Answers

Please find the attached photograph for your answer

HELP PLEASE I WOULD REALLY BE THANKFUL IF YOU HELP, I'VE BEEN STUCK ON THIS

Answers

Answer:

Median Range IQR

Northside players. 37 33. 17

Southside players. 37. 43. 30

Brainly Reward (mathematics)​

Answers

Answer:

1: 45

2: 32

3: 35

4: 32

Step-by-step explanation:

when finding the area of a trapezium you can also just split the rectangle and triangle to have 2 different areas then combine to have the same area. but also this would be more difficult if you needed to separate the trapezium into more than 3 shapes.

so if there is like a trapezoid that you split and there is a rectangle and 2 triangles it is harder than doing the formula.

so use the formula sometimes too if it is easier.

Answer:

1 would be 45, 2 would be 32, 3 would be 35, 4 would be 32

Step-by-step explanation:

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