What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4? 2 units 4 units 8 units 16 units

Answers

Answer 1

Answer:

A. 2 units

Step-by-step explanation:

took the test and got it right

Answer 2

The radius of the circle is r = 2 units

What is a Circle?

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the equation of the circle be represented as A

Now , the value of A is

( x - 7 )² + ( y - 10 )² = 4

The equation ( x - 7 )² + ( y - 10 )² = 4 represents a circle in standard form, where the center of the circle is located at the point (7, 10) and the radius is the square root of the number on the right side of the equation

Taking the square root of 4, we find that the radius of the circle is 2 units

Hence , the radius is r = 2 units

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Related Questions

how to find intersection from -8x+3y=11 and y=3x+4

Answers

Answer:

(-1,1)

Step-by-step explanation:

To find where both lines intersect, solve for x and y with substitution.

Equation 1.

-8x+3y=11

Equation 2.

y=3x+4

Substitute y from equation 2 into equation 1.

-8x+3(3x+4)=11

-8x+9x+12=11

x=-1

Now plug x into the second equation to solve for y.

y=3(-1)+4

y=-3+4

y=1

Both lines intersect at (-1,1)

Answer:

  (-1, 1)

Step-by-step explanation:

It's somewhat difficult to find the point of intersection when graphing these by hand, but a graphing calculator can show it easily.

The lines intersect at (-1, 1).

__

You are given an expression for y, which makes it easy to use substitution as a solution method. Using the second equation to substitute for y in the first equation, we get ...

  -8x +3(3x +4) = 11

  x +12 = 11 . . . . simplify

  x = -1 . . . . . . . subtract 12

Substituting back into the second equation, we find y to be ...

  y = 3(-1) +4 = 1

The lines intersect at (x, y) = (-1, 1).

_____

Additional comment

The slopes are 8/3 and 3. When hand-drawn lines have nearly the same slope, it is difficult to tell exactly where they intersect. Of course, a graphing calculator does not have the problem of finite line width and an apparent long region of intersection. It can pinpoint the intersection exactly.

Of course, "substitution" is not the only way this system of equations can be solved. However, for this system, it is one of the easiest when doing the solution by hand.

If I have a 68 in a class and I get 295 out of 300 points on a test, how much will the grade improve and what percentage would result?

Answers

Answer:

Use calculator

Step-by-step explanation:

Answer:

your grade would improve by a lot and if im not mistaken the resulting percentage would probably be between 80%-90%

Step-by-step explanation:

Solve.

x−8.2=−9.09

What is the solution to the equation?

Enter your answer in the box.

x =

Answers

[tex]x-8.2=-9.09\\\\\implies x = -9.09 +8.2 =-0.89[/tex]

x = -0.89

Step-by-step explanation:

when subtracting a positive number to a negative it will always be negative or atleast 0. It is like a number line, when subtracting on a number line, you always go left, which is also why its negative.

How I solved it: (just another way to solve this)

9.10-8.20=0.89

since the 9.10 was actually a negative(-9.10), it would make 0.89 negative, making it -0.89.

help me please!!!!!!!

Answers

Answer:

I have no idea.

Step-by-step explanation:

I failed geometry.

Which expression can be used to find the surface area of the following square pyramid?
ea
Choose 1 answer:
100 + 80 + 80 + 80 + 80
100 - 80
10 + 10 +8+8+8+8
100 + 40 + 40 + 40 + 40

Answers

Answer:

surface area=1/2perimeterofbase+slantheight+b(base)

Step-by-step explanation:

1/2(40)=20(8)=160+100=260D

Answer:

is 10+10+8+8+8+8

Step-by-step explanation:

just trial. not sure

I really need help! Please, please, PLEASE do not give me a link.


Last year, Kristen read a total of 30 fiction and non-fiction books. The number of non-fiction books was 5 less than 4 times the number of fiction books.

What is the total number of FICTION books that Kristen read last year?

A. 5
B. 7
C. 23
D. 25

Answers

Answer:

7 fiction and 23 non- fiction

Step-by-step explanation:

The number of non-fiction read was 5 less than 4 times the number of fiction books.

Assume fiction books are x.

An equation representing this would be:

x + (4x - 5) = 30

5x - 5 = 30

5x = 30 + 5

x = 35 / 5

x = 7 fiction books

Non-fiction books:

= 4x - 5

= 4 * 7 - 5

= 23 non - fiction books

5x – 9 = 3x + 7
Solve for x

Answers

Answer:

Solving for x

5x - 9 = 3x + 7

subtract 3x from both sides

-3x          -3x

2x - 9 = 7

get rid of constants by adding 9 on both sides since addition is the inverse operation of subtraction

+9      +9

2x = 16

divide by 2 since that is the inverse operation of multiplication

/2    /2

x = 8

The solution for ''x'' for the expression ( 5x – 9 = 3x + 7

What is an expression?

Expressions can be evaluated, meaning that they can be simplified to a single value. The value of an expression depends on the values of any variables or numbers within the expression.

To solve for x in equation 5x - 9 = 3x + 7, we want to isolate x on one side of the equation. We can do this by performing the same operation on both sides of the equation, in order to keep the equation balanced.

First, we can simplify both sides of the equation by combining like terms:

5x - 9 = 3x + 7

2x - 9 = 7

Next, we can add 9 to both sides of the equation to isolate the variable term:

2x = 16

Finally, we can divide both sides of the equation by 2 to get the value of x:

x = 8

Therefore, the solution to the equation 5x - 9 = 3x + 7 is x = 8.

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What is the graph for y = { x + 1?
y 1 2 1?
a)
b)
c)
d)
Enter

Answers

Answer:

The graph for y = (1/2)x + 1 is C.

Step-by-step explanation:

y = (1/2)x + 1

This line has a slope of 1/2.  That is a positive line, so option A is incorrect.  It also has a y-intercept of 1.  The value of y when x is zero is 1.  There are two graphs in which the line intersects (0,1):  A and C.  But A has already been rejected, so it must by Graph C:  

Double check this to see if the slope is 1/2.  Does y increase by 1/2 for every step of 1 on x?  Graph C:

x     y

-2     0

-1      1/2

0       1

+1      1 1/2

+2      2

Yes:  Y increases by (1/2) for every x increase of 1.

The graph for y = (1/2)x + 1 is C.

Can someone please give me the (Answers) to this? ... please ...

Answers

Answer:

A.

1 ) 1/2

2 ) - 1

3 ) 1/2

4 ) 5/4

B.

5 ) not defined

6 ) 0

7 ) 15/14

8 ) - 2/5

C )

9. - 1

10. - 4/3

11. 2

12. 14/3

Answer:

A.

1) 1/2

2) -1

3) 1/2

4) 5/4

B.

5) not defined

6) 0

7) 15/14

8) - 2/5

C.

9) -1

10) -4/3

11) 2

12) 14/3

P(x)=3x 4 −2x 3 +2x 2 −1P, left parenthesis, x, right parenthesis, equals, 3, x, start superscript, 4, end superscript, minus, 2, x, cubed, plus, 2, x, squared, minus, 1 What is the remainder when P(x)P(x)P, left parenthesis, x, right parenthesis is divided by (x+1)(x+1)left parenthesis, x, plus, 1, right parenthesis?

Answers

The remainder when the polynomial is divided by x + 1 is 2

Given the function P(x)=3x^4 −2x^3 +2x^2 −1, to get the rmainder if the polynomial is divided by x + 1, we will substitute x = - 1 into the function to have:

P(-1) = 3(-1)^4 −2(-1)^3 +2(-1)^2 −1

P(-1) = 3(1) - 2 + 2(1) - 1

P(-1) = 1 + 1

P(-1) = 2

Hence the remainder when the polynomial is divided by x + 1 is 2

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Answer:

6

Step-by-step explanation:

:)

There are 200 students in Year 11
75 of the students are girls.
Write down the fraction of the students that are girls.

Answers

Answer:

75/200

Step-by-step explanation:

You can also simplify this.

Barron's car dealership sold only trucks and vans this week. When Baron looks at the inventory left, he noticed he sold 80 vehicles but only 10 trucks. Select all the statements that are true A This week, the ratio of trucks to vans sold was 1:7. B This week, the ratio of trucks to vans sold was 7:1. C This means for every 7 vans sold, there was 1 truck sold. D This means for every van sold, there were 7 trucks sold. E This means for every 8 vehicles sold, 1 truck was sold.​

Answers

The correct statement is  for every 8 vehicles sold, 1 truck was sold.​

Ratio expresses the relationship between two variables. It expresses the number of times one value is contained within another variable.

In this question, the ratio of trucks to vans is 10 : 80. This means that for every 10 trucks that is sold, 80 cars are sold. The given values can be expressed in its simplest form. To do this divide the numbers by 10. This gives the ratio 1 : 8. This means that for every  8 cars sold 1 truck are sold.

A similar question was answered here: brainly.com/question/411732

PLEASE HELP!! WILL GIVE BRAINLY!

Answers

Answer:

Step 1: 10 group(s) of 23=230

Step 2: 6 group(s) of 23=138

Step 3: Add the partial quotients: 10 + 6 = 16

Step-by-step explanation:

Please find the value of P. ​

Answers

Answer:

[tex]\huge\boxed{\sf p = 48\°}[/tex]

Step-by-step explanation:

Since, interior angles of a triangle add up to 180 degrees.

So,

S + Q + R = 180°

S + 44 + 40 = 180

S + 84 = 180

Subtract 84 to both sides

S = 180 - 84

S = 96°

Since S is divided into two p angles because ST is an angle bisector (dividing the angle into two "equal" parts)

So,

S =  p + p

S = 2p

96 = 2p

Divide both sides by 2

48 = p

OR

p = 48°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

jill spent $215.70 on books. math books cost $28.50 and english books cost 21.70. if she bought a total of 9 then how many of each kind did she buy

Answers

Jill bought 3 Math books and 6 English books.


shares of AT&T stock were purchased for $8,250. What is the cost of ten shares?

Answers

Answer:

$82,500

Step-by-step explanation:

Since each share is 8250 and we want to find to find 10 shares, we can do 8250 (price of each share) x 10 (amount of shares) and we get $82500

Mr. Green orders some cookies from a local youth group. Using his order form shown below, complete the last column to find the total to be paid. Quantity Description Unit Price Total of Line 1 Krispy Kosmos $2.89 $ 2 Chewy Chocos $3.19 $ 1 Gooey Globs 2.99 $ Total $ 5.2% tax $ Total to be paid $ a. $9.54 b. $12.26 c. $12.90 d. $18.64 Please select the best answer from the choices provided A B C D

Answers

From the computation done, it can be denoted that the total price that will be paid will be $12.90.

1 Krispy Kosmos at $2.89 = $2.89

2 Chewy Chocos at $3.19 each = 2 × $3.19 = $6.38

1 Gooey Globs at $2.99 = $2.99

Total = $2.89 + $6.38 + $2.99 = $12.26

We'll then add the sales tax of 5.2%, therefore, the total value will be:

= $12.26 + (5.2% × $12.26)

= $12.26 + $0.638

= $12.90

In conclusion, the correct option is $12.90.

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Answer:

C

Step-by-step explanation:

Edg 2022

which term of the a.p 24, 21,, 18, ................. is the second negative term ?

Answers

Answer: -6

Step-by-step explanation:

It's going by 3s so the second negative number would follow as this:

24, 21, 18, 15, 12, 9, 6, 3, 0, -3, -6

Henry bought 9 3/4 pounds of oranges at the market. If the oranges cost $1.20 per pound, how many did Henry pay for the oranges.

Answers

Answer:

Henry payed $ll.70

Step-by-step explanation:

1.20 times 9 3/4 (or 9.75) equals 11.7

The LCM of 6, 17 and 34 is

Answers

Answer: 102

Step-by-step explanation:

Your softball team is ordering equipment from a catalog. Each bat costs $42. The cost of shipping is $12 no matter how much you order. The total cost is $348. How many bats did your team order?

Answers

348 - 12 = 336


8.
———
42 | 336


The answer is 8

Estimate a 15% tip on a dinner bill of $32.43 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Estimate Tip =  $4.50

Step-by-step explanation:

The bill to the nearest $10  is $30.00 :  ( $ 30 ($32.43) $40, it is nearer to $30

Estimate Tip = Bill rounded to the nearest $10  ×  Tip %

Estimate Tip = $30 × 15%

Estimate Tip = $30 × .15                  (15% change to a decimal is .15)

Estimate Tip = $4.50

May I please receive help?

Answers

[tex]h = 2 \sqrt{2} [/tex]

[tex]c = \frac{8}{ \sqrt{3} } = \frac{8 \sqrt{3} }{3} \\ [/tex]

Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the y-axis,
then translate
(x-2, y+[ ? ]).

Answers

Answer:

[(x + 6), (y + 1)]

Step-by-step explanation:

Vertices of the quadrilateral ABCD are,

A → (-5, 2)

B → (-3, 4)

C → (-2, 4)

D → (-1, 2)

By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',

Rule for the reflection of a point across x-axis is,

(x, y) → (x , -y)

Coordinates of the image point A' will be,

A(-5, 2) → A'(-5, -2)

From the picture attached, point E is obtained by translation of point A'.

Rule for the translation of a point by h units right and k units up,

A'(x+h, y+k) → E(x', y')

By this rule,

A'(-5 + h, -2 + k) → E(1, -1)

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That means

Rule for the translation will be,

[(x + 6), (y + 1)]

For the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.

The graphs can be translated or moved about the xy-plane

After point D is reflected across the y-axis, its coordinates are

D(-1, 2) ⇒ D'(1, 2)

This is the point that gets translated to F(-3, -2). The translation is

F -D' = (-3, -2) -(1, 2)

= (-3-1, -2-2)

= (-4, -4)

Then the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

Hence, for the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))

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Solve the following for :
60/3=x/4

Answers

Answer:

80

Step-by-step explanation:

60/3 becomes 20 and then it says equal to 1/4 x because x divided by 4 so we multiply by 4 to get 80

A quadrilateral regular pyramid, the area of any of its lateral faces equal the area of its base, if the side
length of the base of the pyramid is = 6 cm, then the volume of the pyramid =..........cm3
a) 36
b) 673
c) 36/15
d) 216V15

Answers

Answer:

  c)  36√15 cm³

Step-by-step explanation:

We can compute the volume of the pyramid if we know the area of its base, and its height.

__

A regular quadrilateral is a square. If one side of the square is 6 cm, its area will be ...

  A = s² = (6 cm)² = 36 cm² . . . . area of the pyramid base

__

Each triangular face will have a slant height that makes its area the same as that of the base.

  A = 1/2bh

  36 cm² = (1/2)(6 cm)h

  (36 cm²)/(3 cm) = h = 12 cm  . . . . .  divide by the coefficient of h

The slant height of a face is the hypotenuse of a right triangle whose short leg is half the side length, and whose long leg is the height of the pyramid. If that height is represented by h, the Pythagorean theorem tells us ...

  (6 cm/2)² +h² = (12 cm)²

  h² = (144 -9) cm²

  h = 3√15 cm . . . . . height of the pyramid

__

The volume of the pyramid is given by ...

  V = 1/3Bh . . . . . . base area B, height h

Using the values we found above, we compute the volume to be ...

  V = (1/3)(36 cm²)(3√15 cm) = 36√15 cm³

In the first year of production
a play sells 1572 tickets, in its
second year it sells 1753
tickets, in its third year it sells
152 less than in its second
year. How many tickets are
sold in 3 years?

Please add the working out too

Answers

For the third year they sold 1601 tickets

If f(x)= x^2 - x+ 1 and f (-1), then the result is

Answers

Answer:

3

Step-by-step explanation:

To solve f(-1), entails to replace x by -1 in the function

f(-1)= (-1)^2 - (-1)+ 1

= 1 + 1 + 1

= 3

how to turn x+7y=20 into y=mx+b

Answers

Answer:

  y = -1/7x +20/7

Step-by-step explanation:

Solve for y.

  7y = -x +20 . . . . . subtract x from both sides to get the y-term by itself

  y = -1/7x +20/7 . . . . divide both sides by the coefficient of x

In this form, you can see ...

m = -1/7b = 20/7 = 2 6/7

Answer:

y=-1/7x+20/7

Step-by-step explanation:

So they are asking us to put x+7y=20 into slop-intercept form (y=mx+b).

They're pretty much just asking us to solve for y.

x+7y=20

7x=20-x (Subtract x from both sides)

y=20-x/7 (Divide 7 on both sides to isolate y)

y=20/7-1/7x

y=-1/7x+20/7

So..

m=-1/7

b=20/7

Hope this helps :)

A virus attacked 175,245 people in city A and 1,486,964 people in city B. How many people in all were affected? Thank you in advance:)

Answers

1,662,209 is the answer. You just have to add them all up

Answer:

It's 1662209.

Step-by-step explanation:

just add them

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