Circle P contains a diameter AB with coordinates A(1, 2) and B(-7, 2).
5a) State the coordinates of the center.
5b) Determine the length of the radius.

5c)Johnny used the above information for the center and radius and come up with the equation below. Do you agree or disagree with his answer? Explain.
PLEASE ANSWER I DONT HAVE MUCH TIME

Circle P Contains A Diameter AB With Coordinates A(1, 2) And B(-7, 2).5a) State The Coordinates Of The

Answers

Answer 1

Answer:

[tex]centre = ( \frac{1 - 7}{2} , \: \frac{2 + 2}{2} ) \\ = ( - 3, \: 2)[/tex]

[tex]length = \sqrt{ {( - 7 - 1)}^{2} + {(2 - 2)}^{2} } \\ = \sqrt{ { - 8}^{2} } \\ = 8 \: units[/tex]

radius = 8÷2

= 4 units

Johnny was right


Related Questions

Please help me!!!!!!!!

Answers

Answer:

fraction is 75/100

decimal is 0.75

Step-by-step explanation:

because there are 75 of them that are shaded out if 100 so 75/100 and to find out in decimal 75÷100=0.75.

hope this helps u understand:)

Construct the 90% confidence interval for the proportion of students at the college who have completed their required English 101 course. Enter your answers as decimals (not percents) accurate to three decimal places. The Confidence Interval is

Answers

Answer:

The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

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

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The confidence interval has an lower limit of [tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi - 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex] and an upper limit of [tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = \pi + 1.645\sqrt{\frac{\pi(1-\pi)}{n}}[/tex], in which [tex]\pi[/tex] is the sample proportion and [tex]n[/tex] is the size of the sample.


[tex] {x}^{2} + \sqrt{x} + \sqrt[5]{x} [/tex]
what is f'(3) of this equation?​

Answers

Answer:

[tex]3 + \frac{1}{2\sqrt{3} } + \frac{1}{5\sqrt[5]{81} }[/tex]

Step-by-step explanation:

Just to make it easier to see, [tex]\sqrt{x} = x^{\frac{1}{2} }[/tex] and [tex]\sqrt[5]{x} = x^{\frac{1}{5} }[/tex]  This way we could more easily use the power rule of derivatives.

So if f(x) = [tex]x^{2} +x^{\frac{1}{2} } +x^{\frac{1}{5} }[/tex] then f'(x) will be as follows.

f'(x) = [tex]x^{1} +\frac{1}{2} x^{-\frac{1}{2} } +\frac{1}{5} x^{-\frac{4}{5} } = x +\frac{1}{2x^{\frac{1}{2} }} +\frac{1}{ 5x^{\frac{4}{5} }} = x +\frac{1}{2\sqrt{x}} +\frac{1}{ 5\sqrt[5]{x^4} }[/tex]

to find f'(3) just plug 3 into f'(x) so [tex]3 + \frac{1}{2\sqrt{3} } + \frac{1}{5\sqrt[5]{81} }[/tex]

Which inequality is true?
А. Зп > 9
B. 7 + 8< 11
C. 27 -1 < 5
D. 2 > 2
SUBMIT
< PREVIOUS

Answers

9514 1404 393

Answer:

  А. Зп > 9

Step-by-step explanation:

The inequality of A may or may not be true. (It is true only if n > 3.) All of the others are definitely false.

HELP THIS IS FOR MY FINAL GRADE

Ida's ice-cream stand has increasing profits each week during the hot summer months. Ida finds that each week during the summer her profits increase by 15% over what they were the previous week. In her first week of business, her profits were $600. How much money will she make in all over 5 weeks?

Answers

Answer:

Ida makes $ 6960 in 5 weeks.

Step-by-step explanation:

Let the profit of the first week is p.

p = $ 600

Total profits of the five weeks

= p + (p + 0.15p) + (p + p +0.15 p) + (p + p + p + 0.15 p) + (p + p + p + p + 0.15 p)

= 11 p + 0.6 p

= 11 x 600 + 0.6 x 600

= 6600 + 360

= $ 6960

So, Ida makes $ 6960 in 5 weeks.

Which completely describes the polygon ? equilateral equiangular regular congruent

Answers

Answer: C) regular

Explanation:

Any regular polygon is both equilateral and equiangular.

Equilateral = all sides are equal

Equiangular = all angles are equal

Which rule explains why these triangles are congruent?

Answers

SSS
hope this helps!!

Which summation properties or formulas must be used to evaluate this summation? Check all that
apply

Answers

Given:

Summation problem is:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

To find:

The properties or formulas must be used to evaluate the given summation.

Solution:

We have,

[tex]\sum\limits_{n=1}^{35}n(n^2+1)[/tex]

In can be rewritten as:

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}(n^3+n)[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\sum\limits_{n=1}^{35}n^3+\sum\limits_{n=1}^{35}n[/tex]        [tex]\left[\because \sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(35+1)}{2}\right]^2+\dfrac{35(35+1)}{2}[/tex]  [tex]\left[\because \sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2\right][/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[\dfrac{35(36)}{2}\right]^2+\dfrac{35(36)}{2}[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=\left[630\right]^2+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=396900+630[/tex]

[tex]\sum\limits_{n=1}^{35}n(n^2+1)=397530[/tex]

Therefore, the properties and formula used are:

[tex]\sum\limits_{i=1}^n(a_i\pm b_i)=\sum\limits_{i=1}^na_i\pm \sum\limits_{i=1}^nb_i,\\\sum\limits_{i=1}^ni=\dfrac{n(n+1)}{2},\\\sum\limits_{i=1}^ni^3=\left[\dfrac{n(n+1)}{2}\right]^2[/tex]

Answer: see attachment below

Step-by-step explanation:

What is the approximate circumference of a circle with a radius of 4?
1. 12.57
2. 25.13
3.50.27
4. 16

Answers

The answer to this question is 25.13

[tex]{ \bf{ \underbrace{Given :}}}[/tex]

Radius of the circle = 4.

[tex]{ \bf{ \underbrace{To\:find:}}}[/tex]

The approximate circumference of the circle.

[tex]{ \bf{ \underbrace{Solution :}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\:≈\:25.13.}[/tex]

2.) 25.13

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:2πr }[/tex]

[tex] = 2 \times \frac{22}{7} \times 4 \\ \\ = \frac{176}{7} \\ \\ = 25.14[/tex]

Therefore, the circumference of the circle is ≈ 25.13.

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♡}}}}}[/tex]

Find the surface area of the prism. 13 in. 3 in 7 in.​

Answers

Answer:

182+78+42=302 ... 302's ya answer...Give me brainiest answer to say ty! :)

Step-by-step explanation:

The y value is two less than twice the x-value

Answers

Candice .... who’s Candice...alll .for nothing at all

3p(2p - 9) - 2p(-9 + p)​

Answers

Answer:

4p² - 9p

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

3p(2p - 9) - 2p(-9 + p)

Step 2: Simplify

[Distributive Property] Distribute 3p:                                                               6p² - 27p - 2p(-9 + p)[Distributive Property] Distribute -2p:                                                             6p² - 27p + 18p - 2p²[Subtraction] Combine like terms (p²):                                                            4p² - 27p + 18p[Addition] Combine like terms (p):                                                                   4p² - 9p
3p(2p-9)-2p(-9+p)
6p -27p -2p^2+12p
4p^2 -27p+18p
Combine like terms
Your answer is 4p^2 -9p

A standard deck of 52 cards has 4 suits (spades, clubs, hearts, and diamonds) with 13 different cards (ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king) in each suit. If you are dealt exactly two cards from the deck without replacement, what is the probability that you are dealt a pair (matching cards in different suits)

Answers

Answer:

P(a pair with matching cards in different suits) = 1/52

Step-by-step explanation:

We are told that there are 4 suites and each suit has 13 different cards. This is a total of 52 cards.

Thus;

Probability of selecting one card of a particular suit = 13/52 = 1/4

If we now want to select a matching card of another suit without replacing the first one, then, we now have; 52 - 13 = 39 cards. Now, there are only 3 matching cards of the 3 remaining suits that is same as the first card drawn.

Thus; probability = 3/39 = 1/13

Thus;

P(a pair with matching cards in different suits) = 1/4 × 1/13

P(a pair with matching cards in different suits) = 1/52

Delia bought 32 fluid ounces of fruit juice. How many gallons of juice did she buy?


A. 1
B. 0.5
C. 0.25
D. 0.2

Answers

Answer:

the answer is C. 0.25.

Step-by-step explanation:

simply converting the fluid oz into gallons.

The answer is c. 0.25

I just need to know what is m=

Answers

Answer:

- 2

Step-by-step explanation:

Given :

Point A = (-1, 4)

Point B = (1, 0)

x2 = - 1 ; y2 = 4 ; x1 = 1 ; y1 = 0

Rise = (y2 - y1) = 4 - 0 = 4

Run = (x2 - x1). = - 1 - 1 = - 2

Slope = Rise / Run = 4 / - 2 = - 2

The slope, m = - 2

what is 5a +14=3(a +2)​

Answers

Answer:

a=-4

Step-by-step explanation:

See image below:)

This is my workings

Suppose that your boss must choose four employees in your office to attend a conference in Jamaica. Because all 15 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Kyle, Carol, and Adam are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.

Answers

Answer:

1 / 1365

Step-by-step explanation:

Given that :

Number of employees to choose from = 15

Number of employees to be chosen = 4

Probability of choosing You, Kyle, Carol and Adam

Recall ;

P(A) = number of required outcome / Total possible outcomes

Number of required outcome = 4C4

Total possible outcomes = 15C4

nCr = n! ÷ (n-r)!r!

Using calculator to save computation time :

15C4 = 1365

4C4 = 1

P(choosing you, Kyle, Carol and Adam) :

1 / 1365

If a equals B andB equals C which statement must be true?

Answers

Answer:

A=B=C... wouldn't both B and C be equal to A? Also I can't see the statements.

B equals c is the correct answer of this.

the data below shows.the number of car thefts in a city for a period of 20 days. complete parts (a) and (b) below.

a. draw an ordered stem and leaf plot for the data.

b. revealed when answer a is complete.

Answers

Answer:

13 cars per day

Step-by-step explanation:

64 - 51 = 13 cars per day

hope it helps

what are the prime factors of the greatest 4 digit number?​

Answers

Answer:

The prime factors of the greatest 4 digit number are 3, 11 and 101.

Step-by-step explanation:

Hope it helps

The prime factors of greates 4 digit is 3,11 101

Find the difference,
(20m+ 3) - (7m - 5)
A. 27m - 2
B. 13m +8
C. 27m +8
D. 13m - 2
SUBMU

Answers

Answer:

B 13m+8

Step-by-step explanation:

(20m+3) - (7m-5)

20m+3-7m+5

13m+8

The answer is B. 13m+8

The quotient of 17 and k

Answers

Answer:

17/k

Step-by-step explanation:

Quotient means division

17/k

Answer:

[tex] \frac{17}{k} [/tex]

Step-by-step explanation:

Quotient means a result obtained by dividing one quantity by another.

Hope it is helpful...

pls help me do this question but pls don't get it wrong this is my last attempt ​

Answers

Answer:

y ≤ 5

Step-by-step explanation:

5 is the highest y value in this graph. All other y values are below 5.

The lines below are parallel. If the slope of the green line is -4, what is the slope of the red line? 5 m = O A. 4 B. -4 O c. 1 4 D. 4​

Answers

Answer:

-4

Step-by-step explanation:

If the lines are parallel, then they have the same slope.

If the green line has a slope of -4, then the red line has a slope of -4

¿Qué pasó en La Noche Triste?​

Answers

Step-by-step explanation: La Noche Triste (Spanish for "The Sad Night") was a famous battle between the Spanish conquistadors and the Aztecs, a native people of Mexico. ... Between 400 and 800 Spanish soldiers were killed or captured. Between 2,000 and 4,000 native Mexican allies of the Spanish were killed or captured.

Location: Tenochtitlan

End date: July 1, 1520

Date: June 30

Answer:  was a famous battle between the Spanish conquistadors and the Aztecs, a native people of Mexico. Between 400 and 800 Spanish soldiers were killed or captured. Between 2,000 and 4,000 native Mexican allies of the Spanish were killed or captured.

Step-by-step explanation:

Use the Pythagorean theorem to find the value for ( show work )

Answers

Answer:

x = 12

Step-by-step explanation:

x^2 + (x - 7)^2 = (x + 1)^2

x^2 + x^2 - 14x + 49 = x^2 + 2x + 1

x^2 - 16x + 48 = 0

(x - 4)(x - 12) = 0

x - 4 = 0 or x - 12 = 0

x = 4 or x = 12

One side has length x - 7.

For x = 4, x - 7 = 4 - 7 = -3.

Since a side of a triangle cannot have a negative length, x = 4 must be discarded.

Answer: x = 12

b b
A jar of her 'low-sugar' jam contains 102 grams of sugar.
What is the percentage of sugar in her 'low-sugar' jam?

Answers

Answer:

[tex]\% Low = 30 \%[/tex]

Step-by-step explanation:

Given

[tex]Total = 340g[/tex] -- missing

[tex]Low = 102g[/tex]

Required

% of sugar in Low

This is calculated as:

[tex]\% Low = \frac{Low}{Total} * 100\%[/tex]

So, we have:

[tex]\% Low = \frac{102g}{340g} * 100\%[/tex]

[tex]\% Low = \frac{102}{340} * 100\%[/tex]

[tex]\% Low = \frac{10200}{340} \%[/tex]

[tex]\% Low = 30 \%[/tex]


A line passes through the point (8. -8) and has a slope of
5/4
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 5/4x - 18

Step-by-step explanation:

The slope, intercept form of a straight line is;

y = bx + c

Where, y = slope, given as 5/4

(x, y) is given as ; (8, - 8)

Hence, we need to obtain the value of c, which is the intercept.

x = 8 ; y = - 8

-8 = 5/4x + c

-8 = 5/4(8) + c

-8 = 10 + c

-8 - 10 = c

-18 = c

Hence, equation becomes ;

y = 5/4x - 18

10) Using Limit Comparison Test (LCT), the following series
+00
M:
-1 + 2n5
n6 + 1
n=1​

Answers

Compare to the divergent series,

[tex]\displaystyle\sum_{n=1}^\infty\frac1n[/tex]

Then by the limit comparison test, the given series also diverges, since the limit

[tex]\displaystyle\lim_{n\to\infty}\frac{\frac{2n^5-1}{n^6+1}}{\frac1n} = \lim_{n\to\infty}\frac{2n^6-n}{n^6+1}=\lim_{n\to\infty}\frac{2-\frac1{n^5}}{1+\frac1{n^6}}=2[/tex]

is positive and finite.

What is the volume of the cylinder shown below?
Your response should show all necessary calculations and diagrams.

Answers

Answer:

126cm^2

Step-by-step explanation: brainliest pleaseeee!!!!

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