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

Answer:

Figure D. (A)

When you flip the figure across like a mirror, it remains the same shape as the other side. An easy way to determine this is by cutting a line down the middle.

Reflectional symmetry states that if there exists at least one line that divides a figure into two halves such that one-half is the mirror image of the other half.

Edit: Typo!

Answer:

Step-by-step explanation:

Side, side angle (SSA)  theorem shows that △NTM ≅△SMT.

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

From the given figure ΔNTM and ΔSMT share a common side MT.

Now, line segment SQ is congruent to line segment NQ and similarly line segment MQ and NQ, and hence line segment SM and NT are congruent and the angle formed by ∠STM and ∠NMT are also measure the same. because of the similar intersections of te line segments.

Therefore ΔNTM and ΔSMT are congruent by side, side angle theorem.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ5

Answer:

hello

Step-by-step explanation:

a²+b²=c²

16²+b²=65²

256+b²=4225

b²=4225-256

b²=3969

[tex]b = \sqrt{3969}[/tex]

b=63

b=63 mi

have a nice day

Answer:

b = 63

Step-by-step explanation:

In a right angled triangle, hypotenuse squared is equal to the sum of the square of the other sides.

c² = a² + b² (where c is the hypotenuse, and a and b are the other two sides)

c =  65       , a = 16        b = ?

65² = 16² + b²

4225 = 256 + b²

4225 - 256 = b²

b² = 3969

b = [tex]\sqrt{3969}[/tex]

b = 63

check

c² = 16 ² + 63²

   = 256 + 3969

   = 4225

c = √4225

c = 65

Answer:

B)785.0 cubic inches

Step-by-step explanation:

amount of soup the pot can hold is equal to its volume

Volume of a cylinder is πr²h

π(5inches)²x 10inches

785.39816339744830

~785.0 cubic inches

Answer:

The student is comparing the different heart rates due to the temperature. The independent variable is the Temperature and the dependent variable is the beats of the heart from the larva.

fine ,it is a A ok,I am sorry for using rude words on you

Answer:

4

Step-by-step explanation:

Based on this question, addition means the first number is the brother of the other, subtract means the first number is the sister of the other and multiplying means the first number is the father of the other.

We see 4 is literally multiplying M by N-C, meaning N is the sister of C and M is the father of N and C.

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]

Answer:

132

Step-by-step explanation:

48

+ 84

--------

132

_____

[tex]30.87[/tex] ✅

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

[tex] \frac{926}{30} \\ = 30 \frac{26}{30} \\ ( \: or \: ) \\ = 30.8666 \\ = 30.87 [/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

C.

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Given the data :

9,8,7,6,5,4,3,2

Ordering the data from least to highest :

2, 3, 4, 5, 6, 7, 8, 9

The range of a dataset is given by :

Maximum - Minimum

Maximum value = 9

Minimum value = 2

Range of data:

9 - 2 = 7

Range = 7

Answer:

3.75

Step-by-step explanation:

DF = 6/24 × 15 = 3.75

________________

Answer:

39

Step-by-step explanation:

Find the value of f(x) at both points

f(3) = 3(3)³ + 1 = 82

f(1) = 3(1)³ + 1 =  4

---------------------------

Average Rate of Change is just like slope

Divide the change in f(x) by the change in x

r = (82 - 4) / (3 - 1)

r = 78/2

r = 39

9514 1404 393

Answer:

  211

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic.

  b/2 +3c^2 = 38/2 +3(8^2) = 19 +3·64 = 211

Answer:

211

Step-by-step explanation:

given : b = 38 and c = 8

Evaluate :

= b/2 + 3c²

= 38 / 2 + 3 ( 8 )²

= 19 + 3 × 64

= 19 + 192

= 211

Answer:

28

Step-by-step explanation:

it is missing where ?

based on the answer options I guess it is missing between 20 and 36.

if that is true, then the answer is 28.

the difference between 36 and 44 is 8.

the difference between 20 and 36 is 16.

the right answer should cut the interval of 16 into 2 parts (first logical approach to cut it in 2 halves of 8) and be related to the next interval between 36 and 44 (8).

the solution covering both considerations is the middle of the large interval = 20 + 8 = 28.

Answer:

the probability of passing the exam if a student does not use ADAPT is 0.3584

Step-by-step explanation:

Given the data in the question;

Probability a student will pass = 38% = 0.38

Probability a student have used ADAPT = 5% = 0.05

P(passed  | used ADAPT) = 79% = 0.79

Now lets use table

                          Used ADAPT                        Not use ADAPT                 Total

Passed            [0.05×0.79] = 0.0395           [0.38 - 0.0395] = 0.3405     0.38

Not Passed     [0.05-0.0395] = 0.0105        [0.62 - 0.0105] = 0.6095     0.62

Total                             0.05                                      0.95

Now, the probability of passing the exam if a student does not use ADAPT will be;

⇒ P(passed and Not used ADAPT) / P( did not use ADAPT)

⇒ 0.3405 / 0.95

⇒ 0.3584

Therefore, the probability of passing the exam if a student does not use ADAPT is 0.3584

Answer:

± [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{\frac{9}{16} }[/tex] = [tex]\frac{\sqrt{9} }{\sqrt{16} }[/tex] = ± [tex]\frac{3}{4}[/tex] ← note plus or minus

Answer:

3/4

Step-by-step explanation:

The square root of 9 is 3 and the square root of 16 is 4 so you get an answer of 3/4.

Hope it helps

Answer:

4/5 is ur answer

Step-by-step explanation:

ok just like the last one but this one is COS

ok so we know that COS is A/H

A= adjacent and ofc H= hypotenuse

so lets see its the COS of a which means it will be A/H

A= 4 and the H=5

Answer: [tex]\$\ 204.4[/tex]

Step-by-step explanation:

Given

The total length of the trip is [tex]l=1940\ \text{miles}[/tex]

Car average is 28 miles per gallon

So, car requires

[tex]\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}[/tex]

Price of gas is $2.95 per gallons

[tex]\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4[/tex]

So, the cost of the trip is [tex]\$\ 204.4[/tex]

Answer:

let the number of adult tickets = x

Then the number of student tickets = 3x

Total tickets x+3x = 416

4x = 416

x = 416/4

x = 104

Therefore the number of adult tickets sold is 104

Step-by-step explanation:

Answer:

I. Radius, r = 2.90 cm

II. Height, h = 4.10 cm

Step-by-step explanation:

Given the following data;

Volume of cone = 24 cm³

To find the height and radius of the cup that will use the smallest amount of paper;

Mathematically, the volume of a cone is given by the formula;

[tex] V = \frac{1}{3} \pi r^{2}h[/tex]  ......equation 1

Where;

V is the volume of the cone.

r is the radius of the base of the cone.

h is the height of the cone.

Substituting into the formula, we have;

[tex] 36 = \frac{1}{3} \pi r^{2}h[/tex]

Multiplying both sides by 3, we have;

[tex] 108 = \pi r^{2}h[/tex]

Making radius, r the subject of formula, we have;

[tex] r^{2} = \frac {108}{ \pi h} [/tex]

Taking the square root of both sides, we have;

[tex] r = \sqrt { \frac {108}{ \pi h}} [/tex]

Mathematically, the lateral surface area of a cone is given by the formula;

[tex] LSA = \pi rl [/tex]  ......equation 2

Where;

r is the radius of a cone

l is the slant height of a cone.

To find the slant height, we would apply the Pythagorean' theorem;

[tex] l = \sqrt {r^{2} + h^{2}} [/tex]

Substituting r into the above equation, we have;

[tex] l = \sqrt {\frac {108}{\pi h} + h^{2}} [/tex]

Substituting the values of r and l into eqn 2, we have;

[tex] LSA = \pi * \sqrt { \frac {108}{ \pi h}} * \sqrt {\frac {108}{\pi h} + h^{2}} [/tex]

Simplifying further, we have;

[tex] LSA = \sqrt {108} * \sqrt { \frac {\pi h^{3} + 108}{\pi h}} [/tex]

[tex] LSA = \sqrt {108} * \sqrt { \frac {108}{ h^{2}} + \pi h}} [/tex]

Next, to find the value of h, we differentiate the above mathematical equation with respect to h;

[tex] \frac {dS}{dh} = \sqrt {108} * (\pi - \frac {216}{h^{3}}) * (\pi h + \frac {108}{h^{2}}) [/tex]

Limiting [tex] \frac {dS}{dh} [/tex] w.r.t 0;

[tex] \frac {dS}{dh} = 0 [/tex]

[tex] (\pi - \frac {216}{h^{3}}) = 0 [/tex]

Rearranging the equation, we have;

[tex] \pi = \frac {216}{h^{3}} [/tex]

We know that π = 3.142

[tex] 3.142 = \frac {216}{h^{3}} [/tex]

Cross-multiplying, we have;

[tex] 3.142h^{3} = 216 [/tex]

[tex] h^{3} = \frac {216}{3.142} [/tex]

[tex] h^{3} = 68.75 [/tex]

Taking the cube root of both sides, we have;

Height, h = 4.10 cm

Lastly, we find the value of r;

[tex] r = \sqrt { \frac {108}{ \pi h}} [/tex]

[tex] r = \sqrt { \frac {108}{3.142 * 4.10}} [/tex]

[tex] r = \sqrt { \frac {108}{12.88}} [/tex]

[tex] r = \sqrt {8.39} [/tex]

Radius, r = 2.90 cm

The height and radius of the cup that will use the smallest amount of paper is;

Radius = 2.52 cm

Radius = 2.52 cmHeight = 3.58 cm

Let us first state some relevant formulas;

Volume of a cone is;

V = ⅓πr²h

Surface area of a cone is;

S = πrL

Where L is Slant height and has a formula;

L = √(h² + r²)

We are told that the cone is to hold 24 cm³. Thus; V = 24 cm³

24 = ⅓πr²h

πr²h = 72

r = √(72/πh)

Putting √(72/πh) for r in the Slant height equation gives;

L = √(h² + (72/πh))

Thus;

S = π × √(72/πh) × √(h² + (72/πh))

Differentiating with respect to h gives;

dS/dh = √72 × (π - 144/h³) × 1/√(πh + 72/h²)

At dS/dh = 0,we will have;

(π - 144/h³) = 0

Thus;

h³ = 144/π

h = 3.58 cm

Thus, from r = √(72/πh);

r = √(72/(π × 3.58))

r = 2.52 cm

Read more at; https://brainly.com/question/4405937

Answer:

Step-by-step explanation:

3) (15/3)^2+14+6+3^2

=5^2+14+6+3^2

=25+14+6+3^2

=25+20+3^2

=25+20+9

=25+29

=54

Answer:

3. 54

4. -524

5. 59

8. 60

9. 78

10. 61

Step-by-step explanation:

3. (15 / 3)^2 + ((14 + 6) + 3^2)

(5)^2 + ((20) + 9)

25 + 29 = 54

4. ((11 + 2) - (24 / 2)^2) x 2^2

((13) - (12)^2) x 4

(13 - 144) x 4

-131 x 4 = -524

5. ((4 + 3)^2 + 6) - 5 + 3^2

(7^2 + 6) - 5 + 9

(49 + 6) - 5 + 9

55 - 5 + 9

50 + 9 = 59

8. (6^2 + (24 / 3 + 5^2)) - 3^2

(36 + (8 + 25)) - 9

(36 + 33) - 9

69 - 9 = 60

9. ((10 - 4)^2 x 2) + 2 + 2^2

(6^2 x 2) + 2 + 4

(36 x 2) + 2 + 4

72 + 2 + 4 = 78

10. (7^2 + (16 / 8 + 2^2)) + 3^2

(49 + (2 + 4)) + 9

(49 + 6) + 9

55 + 9 = 61

Answer:

19 billion dollars

Step-by-step explanation:

Given the equation :

S - 1.3x = 6

Where, S = amount of sale of statin in billions of dollars ; x = number of years after 1998

Amount spend in 2008

x = 2008 - 1998 = 10

Put x = 10 in the equation ;

S - 1.3x = 6

S - 1.3(10) = 6

S - 13 = 6

S = 6 + 13

S = 19

People will spend about 19 billion dollars on statin in 2008

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Answer:

  103

Step-by-step explanation:

The sum of angles in a quadrilateral is 360°, so the measure of x° is ...

  x° = 360° -127° -90° -40° = 103°

  x = 103

Answer:

The measure of x is 103 °.

Step-by-step explanation:

Concept :- As we know that sum angles of quadrilateral is 360 ° so, to find the measure of x.

Firstly add all the angles that we have given and subtract from 360 ° and we get the vue of x.

We know that The sum angles of quadrilateral is 360 ° , Hence, value of x =

x + 127 ° + 90 ° + 40 ° = 360 °

x + 257 ° = 360 °

Subtract 257 ° from 360 °

x = 360 ° - 257 °

x = 103 °

Therefore, The measure of x is 103 °.

9514 1404 393

Answer:

  30

Step-by-step explanation:

The sequence of square counts is ...

  170, 156, 142, 128

The differences from one row to the next are ...

  -14, -14, -14

We see that the differences are constant, so we know the sequence is an arithmetic sequence with first term 170 and common difference -14. This means the n-th term is ...

  an = a1 +d(n -1) . . . . . . for first term a1 and common difference d

  an = 170 -14(n -1)

For n=11, the number of squares is ...

  a11 = 170 -14(11 -1) = 30

There will be 30 squares in the 11th row.

Answer:

y < [tex]\frac{1}{4} x+3[/tex]

Step-by-step explanation:

(-4, 2) (4, 4)

4 - 2 = 2

4 - - 4 = 8

slope = 1/4

y intercept is 3 because the inequality goes up 3 units