i need help with this

I Need Help With This

Answers

Answer 1

Answer:

A tangent to a circle is a straight line which touches the circle at only one point.  Therefore, if [tex]x=2y+5[/tex] is a tangent of [tex]x^2+y^2=5[/tex] then there will be one point of intersection.

To find the point of intersection, substitute [tex]x=2y+5[/tex] into [tex]x^2+y^2=5[/tex] and solve for y:

[tex]\implies (2y+5)^2+y^2=5[/tex]

[tex]\implies 4y^2+20y+25+y^2=5[/tex]

[tex]\implies 5y^2+20y+20=0[/tex]

[tex]\implies y^2+4y+4=0[/tex]

[tex]\implies (y+2)^2=0[/tex]

[tex]\implies y+2=0[/tex]

[tex]\implies y=-2[/tex]

Substitute found value of y into [tex]x=2y+5[/tex] and solve for x:

[tex]\implies x=2(-2)+5=1[/tex]

Therefore, there is one point of intersection at (1, -2), thus proving that the straight line equation is a tangent to the circle.

I Need Help With This

Related Questions

A bag of marbles includes only green and red marbles. The results of an experiment are shown in the table below. What is the experimental probability of selecting red, or green?

Answers

Answer:

100%

Step-by-step explanation:

There is no table, but if there is only a green or red in the bag, then the probability of selecting a green or a red is 100%.

Complete two expressions that have the same product as 3 x 5. 12

__________ x

1

12AND __________ x

3

12

Answers

The two expressions that would have the same product as 3.5 x 5.12 are:

184.32 x 1/12

76.8 x 3/12

What is the product of the a number?

The product of a number is the value that is derived when two or more numbers are multiplied by each other.

Product of 3 and 5.12 is 15.36.

In order to determine what number should be multipled by 1/12 to yield 15.36, multiply 15.36 by 12: 15.36 x 12 = 184.32

In order to determine what number should be multipled by 3/12 to yield 15.36, multiply 15.36 by 4: 15.36 x 4 = 76.8

To learn more about multiplication, please check: https://brainly.com/question/13814687


[tex] { \alpha }^{2} \beta + \alpha { \beta }^{2} [/tex]
Please solve this ​

Answers

If a and B are the zoros of the quadratic polynomial p(x)=4x^2 - 5x-1, find value of a^2B + aB^2 .

Solution

SINCE a and B are the roots of the polynomial: 4x^2-5x-1

Sum of the roots a+B =5/4

Product of the roots aB=-1/4

HENCE

a^2B+aB^2=aB(a+B)=5/4(-1/4)=-5/16

Concept:Relationship Between Zeroes and coefficients of a Polynomial

Roman purchased 2 1/2 pounds of chocolate covered peanuts for $9.75 what was the price per pound?

Answers

Answer:

$3.90

Step-by-step explanation:

2 1/2 pounds = 2.5 pounds

To determine the price per pound, divide $9.75 by 2.5:

[tex]\sf \dfrac{9.75}{2.5}=3.9[/tex]

Therefore, the price per pound was $3.90

I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!

1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If Sofie uses only the completed surveys, what conclusion could she make about the percent of all high school students who use social media while doing schoolwork?


2.Tony decides to use observation. He visits 10 students and observes them doing schoolwork at home for 30 min. If a student looks at social media during that time, he notes it.
(a) Provide an advantage of using observation.
(b) Provide a disadvantage of using observation.
(c) What are the sample and population for Tony’s research?
(d) Suppose 3 of the 10 students looked at social media during the observation. What conclusion could Tony make about the percent of high school students who use social media while doing schoolwork?

Much thanks and appreciation!

Answers

Answer:

1. A. how much of the students time is spent on social media during school hours.

B. By using some kind of selection technique Like Having students draw number from a hat, who ever have the specific numbers will take her survey.

C. The population for Sofies research would be a rate of 5/2. For every 5 people who take the survey only 2 turned it in.

D. She would conclude that 1 out of every 2 or 50 percent of students use social media while doing school work.

2. a) It helps to get accurate data or records of the information he wants to process and also is a direct way of carrying out analysis.

b) The students definitely might get distracted in the process of his observation and there fore render the data collection not as accurate as it will be for analysis.

c) The sample are the 10 students

  The  population are high school students

d) Tony 's conclusion will be 3 out of 10 looked at social media

thus 3/10 * 100 = 30 %

Step-by-step explanation:

Change 7 kilometres to metres ?​

Answers

Multiply by 1000
7 km = 7000m

Using digits, what time is represented by quarter to eleven?

Answers

Answer:

10:45

Step-by-step explanation:

Answer:

10:45 :)

Step-by-step explanation:

what is the value of x

Answers

Hey there!


Assuming #1 ….


x + 7x + x = 180°
REWORD

1x + 7x + 1x = 180°

COMBINE the LIKE TERMS

(1x + 7x + 1x) = 180°

8x + 1x = 180°

9x = 180°

DIVIDE 9 to BOTH SIDES

9x/9 = 180/9

CANCEL out: 9/9 because it equal 1

KEEP: 180/9 because it give you the x-value

NEW EQUATION: x = 180/9

SIMPLIFY IT!
x = 20
||||~~||||~~||||~~||||~~~||||~~||||~~||||~~||||~~~||||

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

The sum of all the angles made at a point on a line where n lines meet, then the sum of (n+1) angles is 180°, as here, 2 lines meet at the center of the semicircle and so, 3 angles are here.So, by using this property we will be having the equation ;

[tex]{:\implies \quad \sf x^{\circ}+7x^{\circ}+x^{\circ}=180^{\circ}}[/tex]

[tex]{:\implies \quad \sf 9x^{\circ}=180^{\circ}}[/tex]

[tex]{:\implies \quad \sf x=\dfrac{180^{\circ}}{9}=\bf \boxed{20^{\circ}}}[/tex]

This is the required answer

I need help, please? I am just really confused about this.

Answers

Answer:

blank space 1: 120

blank space 2: 85

Step-by-step explanation:

you subtract 35 from it

If a1= 7 and an = -4an-1 + n then find the value of a5

Answers

Answer:

a₅ = 1701

Step-by-step explanation:

[tex]a_1=7\\\\a_n=-4a_{n-1} + n\\\\a_2 = -4*a_1 + 2\\\\[/tex]

    = -4*7 + 2

    = -28 + 2

   = -26

a₃ = -4a₂ + 3

    = -4*(-26) + 3

    = 104 + 3

    = 107

a₄ = -4a₃ + 4

    = -4*107 + 4

   = -428 + 4

  = -424

a₅ = -4a₄ + 5

    = -4*(-424) + 5

    = 1696 + 5

   = 1701

Write two different expressions that
represent the quantity x decreased
by 30%.

Answers

Answer:

Step-by-step explanation:

x - 30 = 14 - 3x

    4x = 44

      x = 11

Let's call the unknown number x

Now let's decrease it by 30, that is x-30

Now let's write out "14 decreased by three times the number", that is 14 - 3x

The problem says these are the same, that is x - 30 = 14 - 3x

We now want to isolate, or solve for, x

Move the x to one side of the equation by adding 3x to both sides

3x + x -30 = 14 - 3x + 3x

4x -30 = 14

Now move the 30 to the right hand side by adding 30 to both sides

4x - 30 + 30 = 14 + 30

4x = 44

Now all we have to do to get x is divide both sides by 4

4x/4 = 44/4

x = 11

which inequality does the graph represent?

Answers

Answer: x ≥ -1

Step-by-step explanation:

First, we see the filled in dot, so we know x can be equal to -1. Since this is a ray, all valid values of x must be greater or equal to -1. Therefore, our answer is x ≥ -1

The answer here will be -1

A semicircle with diameter 8 inches is connected to a triangle with a base length of 8 inches. the height of the triangle is 3 inches. what is the area of the composite figure? (8π 6) in.2 (8π 12) in.2 (8π 18) in.2 (8π 24) in.2

Answers

Answer:

37.12

Step-by-step explanation:

Area of a Semi-circle = 3.14 x r to the 2nd power / 2

Area of a Triangle = b x h /2

3.14 times 4 to the 2nd power  divided by 2 is 25.12. 8 times 3 is 24, divided by 2 is 12. Add 25.12 and 12 together and get 37.12.

Answer:

(8π + 12) in.2 or B

Step-by-step explanation:

E2020

Systems of equations by graphing

What would y = for this system?

Answers

Answer:

y = 0

Step-by-step explanation:

The intersection point of the system lies on the x-axisWe the y-value of the x-axis is 0y = 0

The numbers of hours mary works over a period of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8. find the mean, median, mode, and range of the data set.

Answers

Answer:

Mode=8

This is because it occurs the most

Median

=8+8/2

=16/2

=8

Therefore, the median is 8

Mean= £x/n

=6+7+7+8+8+8+8+8/8

=60/8

=15/2

=7.5

Step-by-step explanation:

Please mark me brainliest if correct

The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or discipline to collect and summarise the data.

The quantities of hours mary works over a time of 8 days are 8, 7, 8, 8, 8, 7, 6, and 8.

Arrange the data in increasing order, then we have

6, 7, 7, 8, 8, 8, 8, 8

The mean of the data is given as,

Mean = (6 + 7 + 7 + 8 + 8 + 8 + 8 + 8) / 8

Mean = 60 / 8

Mean = 7.5

The median of the data is given as,

Median = {[8 / 2 + (8 + 2)/ 2] / 2}

Median = (4th + 5th) / 2

Median = (8 + 8) / 2

Median = 16 / 2

Median = 8

The mode of the data is given as,

Mode = Frequency of the number

Mode = 8

The range of the data set is given as,

Range = 8 - 6

Range = 2

The mean, median, mode, and range of the data set will be 7.5, 8, 8, and 2, respectively.

More about the statistics link is given below.

https://brainly.com/question/10951564

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If 6 books costs $48, then the cost of 8 books will be

Answers

Answer is $8:00 each 48 Divede by 6

Name the image of C(6, –4) under a rotation 90 counter-clockwise about the origin.
a. C(–4, –6)
b. C(6, 4)
c. C(–6, –4)
d. C(4, 6)

Answers

Answer:

d.) (4,6)

Step-by-step explanation:

(-y,x) is the formula for a 90 counter-clockwise rotation.

So, it's (4,6)

pls what is the awer

Answers

10/75=13.333333334 so around 66 people

you can also just divide 500 by 75 then take it times 10 :)

What is the area of this figure?

Answers

Answer:

234 mm^2

Step-by-step explanation:

These questions are tricky but to make them easier, try to break down the shape into smaller regular shapes and work them out.

I would divide this shape into 2 rectangles and one triangle

Area of small bottom rectangle: 4 x 11 = 44mm^2

Area of rectangle in the middle: 14 x 8 = 112mm^2

Area of triangle: 12 x 13/2 = 78mm^2

Add all the areas together = 44+112+78 = 234mm^2

Help me with this pls and thank you ?????

Answers

Answer:

y=3/4x-14

Step-by-step explanation:

Remember that slope-intercept form is y=mx+b

We can see that our givens is that the slope is 3/4 and our point is (8,-8)

Let's plug this in and solve for b (b is the y-intercept)

-8=3/4*8+b

-8=24/4+b

-8=6+b

-14=b

Now we write out the equation which is y=3/4x-14

Helppp.
First, complete the sentence to show how the figure can be decomposed into triangles and rectangles with the fewest number of pieces.

Then find the area of the divisions.

Answers

The figure can be divided into a triangle and a rectangle.

The area of a triangle is 10 sq inches.

The area of a rectangle is 80 sq inches.

The total area of the figure is 90 sq inches.

What are the area and perimeter of a rectangle?

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

The figure can be divided into a triangle and a rectangle.

The height of the triangle is 2 inches and the base is 10 inches.

We know the area of a triangle is (1/2)×base×heiht.

∴ Area = (1/2)×10×2 sq inches.

Area = 10 sq inches.

We know the area of a rectangle is length×width.

∴ Area = (10×8) sq inches.

Area = 80 sq inches.

The total area of the figure is (10 + 80) sq inches = 90 sq inches.

learn more about rectangles here :

https://brainly.com/question/14207995

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Julian has a points card for a movie theater. He receives 85 rewards points just for signing up. He earns 3.5 points for each visit to the movie theater. He needs 120 points for a free movie ticket. Which equation or tape diagram could be used to represent the context if xx represents the number of visits Julian must make to earn a free movie ticket?

Answers

Answer:

an equation that can be used to represent the number of visits needed to earn a free movie ticket is

3.5x+85=120

Step-by-step explanation:

you would multiply 3.5 by the number of visits (x) to determine how many points Julian would have earned in total. you would add 85 to the product of 3.5(x) because he had started with 85 points.

if you want to find how many times Julian would need to visit the movie theater to get a free movie ticket you can subtract 85 from 120, to find out how many visits are necessary before adding the extra 85 points. subtracting that leaves you with 35, and if you divide that by 3.5, the number of points per visit, you are left with 10. Julian would need to visit the theater 10 times before earning a free movie ticket.

if you want to check to see if that's right, you can just do the equation in reverse. rather than 85-120=35/3.5=10, you can do 10*3.5=35+85=120

hope this helps

Part A
What are the possible outcomes of rolling a six-sided dle?

Answers

Answer:

1, 2, 3, 4, 5, 6

Step-by-step explanation:

6 sided dice, and each side has a number on it. 6 numbers from 1-6. This also means it has 6 possible outcomes if thrown once, so the Probability of each number is [tex]\frac{1}{6}[/tex] because there are 6 sides. It also helps if you visualise a dice, or know how one looks like.

Hope this helps! Let me know if you have any further questions.

- profparis :)

if I helped you, I would appreciate a brainliest :D

Answer:

⅙ or 1 out of 6

Step-by-step explanation:

This is because a die has 6 sides which when rolled will give you one side of its six sides which is ⅙

Consider the enlargement of the pentagon. A small pentagon has a bottom side length of x centimeters and left side length of 7 centimeters. A larger pentagon has a bottom side length of 7 centimeters and left side length of 15 centimeters. Not drawn to scale What is the value of x, rounded to the nearest tenth? 2. 1 centimeters 3. 3 centimeters 7. 0 centimeters 15. 0 centimeters.

Answers

When the pentagon is drawn to scale then its value of x will be x=3.3 cm

What is the pentagon?

The pentagon is defined as the shape having five sides connected together.

Now it is given in the question that

For small pentagone

Bottom =x

left =7 cm

For larger pentagone

Bottom=7cm

left=15cm

Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.

For smaller pentagon

[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}[/tex]

For bigger pentagon

[tex]\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}[/tex]

Since both, the ratio is the same

[tex]\dfrac{x}{7} =\dfrac{7}{15}[/tex]

[tex]x=\dfrac{49}{15} =3.3\ cm[/tex]

Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm

To know more about Pentagone follow

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find the missing side length please!

Answers

Answer:

20.25

Step-by-step explanation:

The area of a rectangle is calculated by multiplying its width and length:

The area of the smaller rectangle is given as 9 ft^2 so to find its width we divide the given area with length which is 4.5

9/(4.5) = 2

The given rectangles are similar so their side lengths must be proportional

(4.5)/x = 2/9 cross multiply expressions

2x = 40.5 divide both sides by 2

x = 20.25

A zoo measured the height, in feet, of 9 giraffes.
18, 16, 22, 14, 17, 19, 15, 19, 22
What is the median height of the giraffes?
16 ft
17 ft
18 ft
19 ft

Answers

Answer:

19 ft because the median is 4.5th item so,the commutative frequency just greater than 4.5 is 6.

so,median=9ft

Median is the middle value from lowest to highest.
So you order the numbers in:
14, 15, 16, 17, 18, 19, 19, 22, 22
The middle value/number is 18

What is the value of x?

Answers

Answer:

x = 88 -5y/2

Step-by-step explanation:

(2x - 4) + 5y + x = 180
x = 180 - (2x - 4) -5y -x

x = 180 - x - 4 -5y

x = 176 - x -5y

2x = 176 - 5y
x = 88 -5y/2
Hope this helps :)

What strategies can I use to help me understand and represent real situations involving linear relationships?

Answers

Answer:

"Different representations (written descriptions, tables, graphs, and Linear functions may be used to represent and generalize real situations. Slope and y-intercept are keys to solving real problems involving linear relationships. "

Step-by-step explanation:

Gary wanted to determine the average height of boys at the high school. His older brother is on the basketball team, so he asked him to measure his teammates. After interpreting the results, Gary determined the average height of a high-school-aged boy to be 6 feet, 1 inch. HELP ASAPPPPP

Would you consider these results to be valid?

Yes, because only high-school boys were surveyed.

Yes, because the results were obtained randomly by measuring the boys basketball team.

No, because boys on the basketball team are likely to be taller than the average high school boy.

No, because there are no girls surveyed.

Answers

Answer:

The answer would be "no because boys on the basketball team are likely to be taller than other boys at the school"

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Help! How do I fill out the box at the top of the page? This isn't making sense (I'm in 7th)

Answers

Answer:

x= 4

y= 9

so in that case (x,y) would be (4,9)

then you go down to the x axis and go to 4.

then you go up 9 and that is your first point

same thing for the rest of them so it would be (6,3)

(1,3)

(8,7)

(8,9)

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