Here is a circle, centre O, and the tangent to the circle at the point (-3, 4) on the circle. У P (-3, 4) X -5 O Oา Find an equation of the tangent at the point P. Give your answer in the form y = ax + b where a and b are both fractions with denominator 4. ​

Here Is A Circle, Centre O, And The Tangent To The Circle At The Point (-3, 4) On The Circle. P (-3,

Answers

Answer 1

Answer:

[tex]y=\frac{3}{4}x+\frac{25}{4}[/tex]

Step-by-step explanation:

when a line is tangent to a circle, it is perpendicular to the line from the center of the circle to the intersection of the line and the circle. so first we are going to find the slope of the line in the circle.

to find the slope use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{4-0}{-3-0}=\frac{4}{-3}=-\frac{4}{3}[/tex] so the slope is -4/3

the slope of the line perpendicular to this is the opposite reciprocal: 3/4 so now we have y= 3/4 x +b, to find b plug in the point (-3,4) to get 4=-9/4 +b, b=25/4 the equation is y=3/4 x +25/4


Related Questions

Find three solutions for this linear function and choose the correct graph by clicking on it. F(x) = x + 3

Answers

Answer: The picture that shows 0,3 and 0,3.

They are points on the graph that show the function

Step-by-step explanation: I know because I just did this. I passed!!!

Find the distance between the points (3,4) and (6,0).
I

Answers

Answer:

first you use distance formula then urr answer will come out....first u try ok.......

The temperature dropped a total of 84 degrees in a 3 hour period in Canada. Suppose the temperature dropped
the same amount each hour. What is the hourly drop in temperature?

Answers

Answer:

84dgree÷3hours=26 degrees/ hour

If 5cm and 3cm are added to the length and width of a square, the perimeter of the resulting rectangle is between twice and three times the perimeter of the original square. Find the possible lengths of the sides of the original square.

Answers

Answer:

The answer is between 2 and 4. 2 and 4 can be included if you are including the twice or three times. If it doesn't include those then it would only be anything inbetween.

Step-by-step explanation:

So to start off I would always give placeholder for all the sides. Lets label it x.

2(x+5) + 2(x+3) < 3(4x)

In the equation above, we created a simple equation with 2 representing 2 sides each and the 3 and 5 plugged in. That all is going to be less than 3 times the original perimeter which is 4x for the 4 sides.

2x + 10 + 2x + 6 < 12x

4x + 16 < 12x

16 < 8x

2 < x

We learn that the original x is greater than 2. We don't say it is equal to since it says between. Which doesn't usually include the number stated.

Now we repeat, just instead of 3 its 2 and instead of less than its greater than.

2x + 10 + 2x + 6 > 8x

4x + 16 > 8x

16 > 4x

4 > x

So your answer is between 2 and 4.

The possible lengths of the sides of the original square (x) any value between 4 cm and 8 cm, inclusive.

Let's denote the side length of the original square as "x" centimeters. The perimeter of the square is 4x.

When 5 cm and 3 cm are added to the length and width of the square,  a rectangle with dimensions (x + 5) cm and (x + 3) cm. The perimeter of the rectangle is 2 × (x + 5) + 2 × (x + 3) = 2x + 10 + 2x + 6 = 4x + 16.

According to the given information, the perimeter of the rectangle is between twice and three times the perimeter of the original square:

2 × perimeter of square ≤ perimeter of rectangle ≤ 3 × perimeter of square

Substitute the values:

2 × 4x ≤ 4x + 16 ≤ 3 × 4x

Simplify:

8x ≤ 4x + 16 ≤ 12x

Subtract 4x from all parts:

4x ≤ 16 ≤ 8x

Now, divide all parts by 4:

x ≤ 4 ≤ 2x

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NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!

At a birthday party, five people are sharing 3/4 of a pan of lasagna. What equal-sized portion of the whole pan will each of the five people receive?

a. Draw a visual model to represent the situation and the solution.

b. Write an equation to represent the situation. Explain your reasoning.

Answers

Answer:

see below

Step-by-step explanation:

Take the amount of lasagna and divide by the number of people

3/4 ÷ 5=x

Copy dot flip

3/4*  1/5=x

3/20 each

Pls Someone Help me Question:make the greatest and smallest 4 digit number by using any one digit twice
= 8,2,7

Answers

Answer:

Greatest digit: 8872.

Smallest digit:2278.

9514 1404 393

Answer:

greatest: 8872smallest: 2278

Step-by-step explanation:

Greatest

The greatest possible number is created by putting the greatest allowable digit in the space available that has the highest possible place value. Here, the greatest digit is 8, and the highest place value of a 4-digit number is the thousands place: 8000. Once you have filled that place, you can use the digit 8 one more time in the hundreds place: 8800.

Now, the greatest digit available is the digit 7, and the left-most place you can put it is the tens place: 8870. Finally, the only digit and place available are the digit 2 and the ones place.

Your greatest 4-digit number is 8872.

Smallest

To form the smallest number, you use a similar process, filling places in the number from left to right with the smallest allowable digit. The smallest digit, 2, is allowed twice, so the smallest number that can be formed is 2278.

write the equation of the line that passes through points (-7,8) and (4,-5)

Answers

Answer:

y=-3/11x+67/11

Step-by-step explanation:

y-8=-5-8/4--7(x--7)

y-8=-3/11(x+7)

11y-88=-3x-21

11y=-3x-21+88

11y=-3x+67

y=-3/11x+67/11

Answer:

y = -13/11x - 3/11

Step-by-step explanation:

First, find the slope of the line using the slope formula.

[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{-5-8}{4-(-7)}\\m=-\frac{13}{11}[/tex]

Then, use the point-slope formula and substitute the values for the variables.

[tex]y-y_1=m(x-x_1)\\y-8=-\frac{13}{11}(x-(-7))\\y-8=-\frac{13}{11}x-\frac{91}{11}\\y=-\frac{13}{11}x-\frac{3}{11}[/tex]

A blueprint has a scale of 1cm : 4 feet. On the blueprint, a room is drawn with dimensions 5cm x 2cm.
Find the area of the room (the units of the answer are square feet).
It is a great idea to use a sheet of graph paper to work this problem.
square feet

Answers

Answer:

On the blue print, the room will measure 20 by 8 feet

Step-by-step explanation:

Find the area of this figure.
3 m
4 m
8 m
4 m
[?] square meters
Find the area of each rectangle first
and then add the two areas together.

Answers

Answer:

44m²

Step-by-step explanation:

Area of larger rectangle

= length × breadth

= 8m × 4m

= 32m²

Area of smaller rectangle

= length × breadth

= 4m × 3m

= 12m²

Total area of the figure

= Area of larger rectangle + Area of smaller rectangle

= 32m² + 12m²

= 44m²

52% of 1000 registered voters intend to vote for Steven Collins for mayor. What is the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins?


A. (50.1%, 53.9%)

B. (48%, 56%)

C. (49.9%, 54.1%)

D. (48.9%, 55.1%)

Answers

Using the z-distribution, the 95% confidence interval to describe the total percentage of registered voters who intend to vote for Steven Collins is:

D. (48.9%, 55.1%)

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The other parameters are given as follows:

[tex]\pi = 0.52, n = 1000[/tex]

Hence the bounds of the interval are given by:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 - 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.489[/tex]

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.52 + 1.96\sqrt{\frac{0.52(0.48)}{1000}} = 0.551[/tex]

As a percentage, option D is correct.

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Cam went to the beach and collected seashells. when he put them into 2 piles, 3 piles, and then 5 equal piles. he didn't have any extra. when he put them into 4 piles, he had exactly 2 extra. how many seashells could cam have collected?

Answers

Hey there! I'm happy to help!

We see that the number of seashells is divisible by 5, 3, and 2, but not 4. One thing I like to do to find this number is to multiply together all of the numbers it is divisible by. This product will be divisible by all of the numbers because you multiplied them all together! Let's do this below.

2×3×5=30

We see that our answer is 30, and it is divisible by 2, 3, and 5. 30 also isn't divisible by four. If you tried to do so, you would get 28 (4×7) with a remainder of two.

Therefore, Cam could have collected 30 shells.

Have a wonderful day! :D

1/8 times square root of eight =

Answers

Answer:

0.35355339059

Step-by-step explanation:

The area of a rectangle is 44m^2, and the length of the rectangle is 3m less than twice the width. Find the dimensions of the rectangle.

Answers

Answer:

the length=8

the rectangle=5.5

Step-by-step explanation:

+)convention:

the lengt=a

the width = b => the area of the rectangle = a.b=44m^2 (1)

+) "the length of the rectangle is 3m less than twice the width"

=> 2b-a = 3 (m)

=> a=2b-3

substitute a for (1), we get

the area of the rectangle = a.b = (2b-3).b=44 m^2

=> 2b^2-3b-44=0

=> b=-4 (wrong)

=> b= 5.5 =the width

the lengt = the area of the rectangle/the width=44/5.5=8 m


what is the answer to this question ????

Answers

Answer:

yesdbdjxjsjdxjskskamd

Answer:

options B is the check answer

What comes next in this sequence? - [ 1, 45, 104, 1034 ] - Please state the pattern and why you chose that answer.



A. 34556


B. 4567


C. 401


D. 54

Answers

Answer:

The answer is A. 34556

Step-by-step explanation:

The 5th term of the sequence would be a{5} = 10334.

What is a mathematical function, equation and expression?  

Sequence : A sequence is defined as an arrangement of numbers in a particular order.        

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is the sequence -

1, 45, 104, 1034

We can write the next term as -

a{n} = 10a{n - 1} - 6

So, we can write -

a{5} = 10 x 1034 - 6

a{5} = 10340 - 6

a{5} = 10334

Therefore, the 5th term of the sequence would be a{5} = 10334.

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How to find the area of the shape on the right

Answers

Answer:

19 units²

Step-by-step explanation:

First, divide the shape into two triangles, find the area of those triangles, and then add the areas together.

Big Triangle:

1/2bh

1/2 6(5)

1/2 30

15

Little Triangle

1/2bh

1/2 2(4)

1/2 8

4

Total Area:

15 + 4 = 19 units squared

Which inequality is the same 7 - 2/b ≤ 5/b

Answers

B is less than or equal to 1

Answer:

1. B

2. A

Step-by-step explanation:

Those are the correct answers

56-x=728+2x what's the answer?

Answers

56 - x = 728 + 2x

-x - 2x = 728 - 56

-3x = 672

x = 672/-3

x = -224

Hope that helps. If you have any doubts plz let me know.

Answer:

56-x=728+2x

1.) rearrange

[tex]56x = 728 + 2x \\ \ - x + 56 = 728 + 2x[/tex]

[tex] - x + 56 = 728 + 2 x \\ \\ - x + 56 = 2x + 728[/tex]

2.)subtract 56 on both side

[tex] - x + 56 = 2x + 728 \\ \ - x + 56 - 56 = 2x + 728 - 56[/tex]

3.) simplify

[tex] - x = 2x + 672[/tex]

4.)Subtract 2 on both sides

[tex] - x = 2x + 672 \\ \\ - x - 2x = 2x + 672 - 2x[/tex]

5.) simplify

[tex] - x - 2x = 2x + 672 - 2x \\ \\ - 3x = 2x + 672 - 2x \\ \\ - 3x = 672[/tex]

6.)divide both sides on the same equation

[tex] - 3x = 672 \\ \\ \frac{ - 3x}{ - 3} = \frac{672}{ - 3} [/tex]

7.) simplify

[tex]x = - 224[/tex]

8.) answer

[tex]x = - 224[/tex]

if u need any help, just let me know

A city currently has a population of 8200 people, and is expected to grow by 4%
every year. To the nearest whole person, what is the population expected to be 10
years from now?

Answers

The population expected to be 10 years from now is 12,138.

Given that,

The population is 8,200 people.It should be predicted to grow by 4%.

Based on the above information,

The  population expected to be 10 years from now is

[tex]= Number\ of\ people \times (1+ growth\ rate)^{number\ of\ years}\\\\= 8,200 \times (1 + 0.04)^{10}\\\\[/tex]

= 12,138

Therefore we can conclude that The population expected to be 10 years from now is 12,138.

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what is the x intercept of y + 4 =− 4(x − 1)

Answers

Answer:

0

Step-by-step explanation:

since the "b" in y=mx+b ends up being 0, that means that the y intercept is 0, which also means that the x intercept is 0.

Mrs. Kaur brought identical gift for her 6 nieces and nephews. She spent a total of $94.20. what was the cost of each gift.​

Answers

Answer:

$15.7 for each

Step-by-step explanation:

here, peice of 6 gifts= $94.20

now price of each gift= $94.20/6

answer is 15.7 dollars

Find the measure of e . A. 88 B. 46 C. 44 D. 90

Answers

Answer:

The answer is A. 88.

Step-by-step explanation:

To solve for the measure of angle ( [tex]e[/tex] ), start by noticing that 92 degrees and   ( [tex]e[/tex] ) sum up to 180 degrees, which makes them supplementary angles.

Two angles are said to be supplementary angles if they add up to 180 degrees. Supplementary angles form a straight angle (180 degrees) when they are put together. In other words, angle 1 and angle 2 are supplementary, if Angle 1 + Angle 2 = 180 degrees.

Since angle 92 degrees and angle ( [tex]e[/tex] ) sum up to 180 degrees, the equation will look like [tex]92[/tex]°[tex]+e=180[/tex]°. To solve the equation, start by subtracting 92 degrees from both sides, and the equation will look like [tex]e=88[/tex]°. The final answer will be that the measure of angle ( [tex]e[/tex] ) is 88 degrees.

Answer:

88

Step-by-step explanation:

write the decimal values of the digits given in bold : 0.437




please tell step by step explaination​

Answers

Answer:

na na na na na I don't know

Which expression is equivalent to (5^3)−2?
A 1
-
5^3
B -1/ 5•5•5•5•5•5

C 5^3

D 1/5•5•5•5•5•5

Answers

Answer:

D 1/5•5•5•5•5•5

Step-by-step explanation:

(5^3)^−2

We know a^b^c = a^(b*c)

5^(3*-2)

5^(-6)

We know a^-b = 1/a^b

1/5^6

1/(5*5*5*5*5*5)

Plz help me with this

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) A table and graph are attached.

__

b) The relationship is NOT PROPORTIONAL. The line does not go through the origin (0, 0).

(c) 5 points possible (graded) The problem you encountered in part (b) is called separation . It occurs when the can be perfectly recovered by a linear classifier, i.e., when there is a such that In order to avoid this behavior, one option is to use a prior on . Let us investigate what happens if we assume that is drawn from a distribution, i.e., What is the joint log likelihood of this Bayesian model

Answers

We have that these are the key points given below

The Bayesian Theorem is a theorem that centers or basis its claim on the facts that the probability of an event occurring is based on Prior Knowledge that of situation or Prior factors of the Event.

Likelihood function is a function that take into account all statistical model and determine there best application given the statistical data given.

Bayesian Theorem

The Bayesian Theorem is a theorem that centers or basis its claim on the facts that the probability of an event occurring is based on Prior Knowledge that of situation or Prior factors of the Event

i'll explain further with an example

Given that when two unfair dice are thrown a 100 times the probability of getting the higher figure in the range of 6-8 , Therefore the Bayesian Theorem simply assumes that this range of 6-8 to be the highest for all 100 throws of two dice.

The Bayesian model is given  as

[tex]B=Prior * Likelihood=Posterior * Marginal[/tex]

Bayesian model is a statistical model.

This leads us to the definition of the Likelihood function

Likelihood function is a function that take into account all statistical model and determine there best application given the statistical data given.

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पाठशाला
Date
Page
amount of Rs sooo at the
annual Rate or 127.
is as
8ooo, and
find the interest
and time 2

Answers

Whats the question?????
huh??? i don’t know what you are asking so maybe try again

Suppose you have 60 kg of a radioactive material that decays 50% of its mass every year how much material would you have left after 4 years?

Answers

Answer:

Step-by-step explanation:

60 kg × 0.5⁴ = 3.75 kg

It doesn’t match any of the answers

Please Help! Evaluate the function at each specified value of the independent variable and simplify. (If an answer is undefined, enter UNDEFINED.)

g(t) = 5t^2 − 8t + 3

Answers

Answer:

Given:

g(t) = 5t² − 8t + 3

Find the following

g(2)

g(2) = 5(2²) - 8(2) + 3 = 20 - 16 + 3 = 7

g(t - 2)

g(t - 2) = 5(t - 2)² - 8(t - 2) + 3 = 5t² - 20t + 20 - 8t + 16 + 3 = 5t² - 28t + 39

g(t) - g(2)

g(t) - g(2) = 5t² − 8t + 3 - 7 = 5t² − 8t - 4

g(t)=5t^2-8t+3

[tex]\\ \sf\longmapsto g(2)=5(2)^2-8(2)+3[/tex]

[tex]\\ \sf\longmapsto g(2)=5(4)-16+3[/tex]

[tex]\\ \sf\longmapsto g(2)=20-13[/tex]

[tex]\\ \sf\longmapsto g(2)=7\checkmark[/tex]

And

[tex]\\ \sf\longmapsto g(t-2)=5(t-2)^2-8(t-2)+3[/tex]

[tex]\\ \sf\longmapsto g(t-2)=5(t^2-4t+4)-8t+16+3[/tex]

[tex]\\ \sf\longmapsto g(t-2)=5t^2-20t+20-8t+19[/tex]

[tex]\\ \sf\longmapsto g(t-2)=5t^2-28t+39\checkmark[/tex]

And

[tex]\\ \sf\longmapsto g(t)-g(2)[/tex]

[tex]\\ \sf\longmapsto 5t^2-8t+3-7[/tex]

[tex]\\ \sf\longmapsto 5t^2-8t-4[/tex]

Find an equation for the line that passes through the points -4, -1 and 2, 3

Answers

Answer:

x1=-4,y1=-1,x2=2,y2=3

Now,

slope (m)=3/2

By formula,

(y-y1)=m (X-x1)

y-(-1)=3/2(x+4)

y+1=3/2(x+4)

2y+2=3x+12

3x-2y+10=0,which is required equation.

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