Write the standard equation of the circle with center (-1, 2) and radius 7.
a
b
(x + 1)2 + (y-2) - 7
(x - 2)2+(y+1) - 49
(x+1)+(y-2) - 49
(x-1) + (y+2) = 49

Answers

Answer 1

Answer:

(X+1)^2+(y-2)^2=49

Step-by-step explanation:

Standard Equation of a circle: [tex](x-h)^{2} +(y-v)^{2}[/tex]=[tex]r^{2}[/tex]

Center: (-1,2)

Radius: 7

Equation would be: [tex](x+1)^2+(y-2)^2=49[/tex]


Related Questions

Q: A monomial usually has the form axn, where a is any number and n is a nonnegative integer. True or False

Hello, please help me out!

Answers

Answer:

True

Step-by-step explanation:

Yes this is a correct statement because a monomial usually has only one term and no + or - sign dividing the terms. For example 3x is a monomial which can be written as x*3

algebra 2! what’s the answer to this? will give you all my points.

Answers

Answer:

Step-by-step explanation:

this is a radical equation:

when x=1 y=0

reflected about x

-sqrt(x)

right 1 unit

-sqrt(x-1)

it looks like y-int is about (0,1/3)

vertically compressed by a factor of 1/3

-(1/3)sqrt(x-1)

if you think the y-int is more (0,1/4), then

the function is vertically compressed by a factor of 1/4

-0.25sqrt(x-1)

Calculate the mean given the frequency table
Class
Frequency
0-9
24
10-19
20
20-29
32

Answers

Answer:

So the mean of the given data set is approximately 15.55.

Step-by-step explanation:

The mean is calculated by taking the sum of the product of each class midpoint and its corresponding frequency and dividing by the total frequency.

The midpoint of each class can be calculated as the average of the lower and upper class boundaries:

Class 0-9: Midpoint = (0 + 9) / 2 = 4.5

Class 10-19: Midpoint = (10 + 19) / 2 = 14.5

Class 20-29: Midpoint = (20 + 29) / 2 = 24.5

Now we can find the sum of the product of each midpoint and its frequency:

(4.5 * 24) + (14.5 * 20) + (24.5 * 32) = 108 + 290 + 784 = 1182

Finally, we divide this sum by the total frequency (76) to find the mean:

1182 / 76 = 15.552632

So the mean of the given data set is approximately 15.55.

ABC and ACD are both right-angled triangles.
D
a)
Explain why the length of AC
is 13 cm.
5 cm
C
5 cm
b)
Calculate the length of AD.
Give your answer correct
to 1 decimal place.
B
A
12 cm

Answers

Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

will mark bianleast
When figure ABCD is reflected across the dotted line into figure A′B′C′D', which describes the position of B'?


5 units below the dotted line

5 units above the dotted line

3 units below the dotted line

3 units above the dotted line

Answers

Answer:

5 units above the dotted line

Step-by-step explanation:

The reason for this is that there is a distance of 5 units between point B and the line so we know that when it is reflected there will be a distance of 5 as well.

The shortest route from London to Liverpool is 210 miles. A lorry is expected to take 3.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 3.5 hours. By how many more mph than the expected speed does the lorry travel?

Answers

Answer:

72 mph

Step-by-step explanation:

Please give brainliest

You have distance =210 miles

Increase it by 20%

210+(210*0.2) = 252 miles I wrote 0.2 instead of writing 20%/100% hope you understand.

The new route is 252 miles

Time travelled = 3.5 hours

Speed=distance/time

Speed = 252/3.5 = 72 mph

Does anyone understand this

Answers

The answer is no because their different sizes

Isaak is writing an explicit formula to represent the sequence.
64, 112, 196, 343,...
What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest
hundredth.
O 0.75
1.75
58
279

Answers

Answer:

r = 1.75

Step-by-step explanation:

The common ratio r is found by dividing a term in the sequence by the previous term, that is

112 ÷ 64 = 1.75

196 ÷ 112 = 1.75

343 ÷ 196 = 1.75

The common ratio r = 1.75

Answer:

B

Step-by-step explanation:

Determine the value of z in the figure answers: z = 50° z = 45° z = 10° z = 30°

Answers

Answer:

z = 10°

Step-by-step explanation:

Since the two sides are equal, the two base angles have to be equal

That means that 5z and 130 form a straight line and add to 180 degrees

5z+130 = 180

Subtract 130 from each side

5z = 50

Divide by 5

5z/5 = 50/5

z=10

Which statements are true regarding the quadratic statement?

Answers

Answer:

E

Step-by-step explanation:

I hope am right coz it seems most appropriate

Ruth contributes 18% of the total cost of her individual health care. This is $67.50
deduction from each of her biweekly paychecks. What is the total value of her individual
coverage for the year?

Answers

Total value of annual health coverage = $ 9000

Calculation of total annual health coverage

Let the total annual health care expenditure = x

Ruth pays 18% of total health care expenditure, which is $ 67.50 for two weeks (ie 15 days)

So, total paid for one month = 67.5 x 2 = 135

And, total paid for full year = 135 x 12 = 1620

As mentioned, she pays 18% of total annual health care expenditure

Hence, 18% x = 1620

18 x / 100 = 1620

x = (1620 x 100) / 18

= 9000

To learn more about Total Coverage, refer https://brainly.com/question/17596754?referrer=searchResults

Answer:

Step-by-step explanation:

Total value of annual health coverage = $ 9000

Calculation of total annual health coverage

Let the total annual health care expenditure = x

Ruth pays 18% of total health care expenditure, which is $ 67.50 for two weeks (ie 15 days)

So, total paid for one month = 67.5 x 2 = 135

And, total paid for full year = 135 x 12 = 1620

As mentioned, she pays 18% of total annual health care expenditure

Hence, 18% x = 1620

18 x / 100 = 1620

x = (1620 x 100) / 18

= 9000

A small toy rocket is launched from a 20-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = – 2t^2– 6t + 20. How long will it take the rocket to hit the
ground?

Answers

Answer:

t = 2 sec

Step-by-step explanation:

h = – 2t²– 6t + 20

When the rocket hits the ground. h = 0 ft.

– 2t²– 6t + 20 = 0 /: (-2)

t² + 3t - 10 = 0

(t + 5)(t - 2)=0

t = - 5, t = 2

Time can be only positive.

Which equations are equivalent to -1/4{X}=12 Select all that apply.

Answers

Answer:

2nd, 3rd and the last one

Henry was playing with his marble collection, and decided to challenge his friend Andrew to figure out how many of each color marbles he had. Henry gave Andrew the following clues. "I have x blue marbles. I have four times as many red marbles as blue marbles. I have 5 less green marbles then I do blue marbles." Altogether I have 91 marbles. How many green marbles does Henry have?

Answers

Answer:

11

Step-by-step explanation:

First, set up an equation. Since all the blue marbles+red marbles+green marbles= total number of marbles, we have: x+4x+x-5=91.

x+4x+x-5=91

6x-5=91

6x=96

x=16

Since there are x-5 green marbles, we get the number of green marbles=16-5=11.

1 | 4
2| 8
3| 12
4| 16
Write a function rule for the table.
A. S=40
B. c=4s
C. s=c+ 4
D. C= 4+ S​

Answers

b. c=4s

you multiply x times 4 to get y

PLEASE HELP! WILL MARK BRAINLIEST ANSWER!
The histogram below represents a data distribution with uniform class widths. Which of the following is the median of the data distribution?

Answers

Answer:

5

Step-by-step explanation:

the median means the number in the middle so the number in the middle would be 5

Pleaseee helppp

Which of the following uses a variable to represent a person, place, or thing
that is unknown?

A. a C-sharp on the piano

B. apartment 12A

C. a B+ grade

D. Mr. X

Answers

Answer:

D. Mr. X

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

All of them could represent something or someone, but Mr. X is the closest because X is usually used as a variable.

A baker prepares a cake mix that weighs 120 pounds. The cake mix
consists of shortening and other ingredients. The weights of the other ingredients are, 20 1/2 pounds of flour, 29 3/4 pounds of sugar, 18 1/8 pounds of milk, 16 pounds of whole eggs, and a total of 5 1/4 pounds of flavoring, salt, and baking powder. How many pounds of shortening are used in this cake mix?

Answers

Answer:

30 3/8 pounds of shortening used.

Step-by-step explanation:

20 1/2 + 29 3/4 +18 1/8 + 16 + 5 1/4 = 89.625

120- 89.625 = 30.375 pounds

0.375 as a fraction = 3/8 + 30

Therefore the total shortening used = 30 3/8 pounds

How many pounds of shortening are used in this cake mix is maximum figure as we found exact 0.375

We can do this by multiplying the 0.375 x 2 = 0.750  = 3/4

Then counteracting 4 = 1 to 8 = 1 and keeping the top fraction.

1/2 of 3/4 = 3/8

3/8 x 2 = 0.75

0.75 /2 = 0.375

A roof has the shape of an isosceles triangle with equal sides 8 cm long and base 12 m long. What is the measure of the angle of inclination of the roof to the nearest degree?

Answers

Answer:

41 degrees to the nearest degree.

Step-by-step explanation:

A line drawn from the vertex and bisecting the base forms 2 right triangles.

The base of one right triangle = 1/2 * 12 = 6 m.

So cos A = adjacent side /hypotenuse   where A is the angle of inclination.

cos A=  6 / 8 = 0.75

m < A = 41.41 degrees.

which graph shows a function and it’s inverse ?

Answers

Answer: D.

Step-by-step explanation:

Trust me I been there

Graph B shows the functions and its inverse.

Graph with function and it’s inverse is to be determine.

What are functions?

Functions is the relationship between sets of values.

Here,
For graph  A,C, and D do not have axis of symmetry that why this option can be omitted it does not contain function with its inverse.
While graph B has axis of symmetry and equal and opposite 2 function that is graph b has function and its inverse.

Graph B shows the functions and its inverse.

Learn more about function here:

brainly.com/question/21145944

#SPJ5

A right triangle has a base equal to 13 inches and a height equal to 18 inches. Find the area of the triangle. Type a
numerical answer in the space provided. Do not include units or spaces in your answers,

Answers

Answer:

117

Step-by-step explanation:

area of a triangle= 1/2 bxh

13x18=234

divide by 2=117

Answer:

117 is the Answer

Step-by-step explanation: hope this helps!

I need help with finding the sum of (x^4 + 2x^3 - 7x - 9) + (x^5 - 2x^4 + 8x + 18) in standerd form

my answer is x^5 - x^4 + 2x^3 + x^2 + 9
is this correct

Answers

Answer:

Step-by-step explanation:

(x^4 + 2x^3 - 7x - 9) +

(x^5 - 2x^4 + 8x + 18)

x^5 - x^4 + 2x^3 + x + 9

The deepest part of the Mariana trench (the deepest trench in the world’s oceans) is at an elevation of -11.033 kilometers. The elevation of the deepest part of the Atacama trench is -8.065 kilometers. What is the net change in elevation from the Atacama trench to the Mariana trench?

Answers

Answer:

The answer is -2.968

Step-by-step explanation:

I took the test and got it right unlike the other person who got it wrong for me.

2. (09.01 MC) In circle A shown below, the measure of ∠BAD is 148°: Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circle A. If m Arc BC is 96°, what is m Arc CD ? (3 points) 96° 22° 52° 148°

Answers

Answer:

Measure of arc CD will be 52°.

Step-by-step explanation:

In the given circle A, measure of central angle intercepted by the arc BCD at the center = 148°

And points B, C and D lie on the given circle.

[tex]m(\widehat {BCD})[/tex] = 148°

[tex]m(\widehat {BCD})=m(\widehat{BC})+m(\widehat {CD})[/tex]

148° = 96° + [tex]m(\widehat{CD})[/tex]

148 - 96 = [tex]m(\widehat{CD})[/tex]

[tex]m(\widehat{CD})[/tex] = 52°

Therefore, measure of arc CD will be 52°.

Option (3) will be the answer.

Answer:

its C

Step-by-step explanation:

I'm so sorry but I forgot and some of my notes are at school ( don't mind the yellow/orange high light )

Answers

Answer:

its a scalene triangle

Step-by-step explanation:

2 - V19-(-2-4)
[-5-(-7)]2

Answers

Answer:

7

Step-by-step explanation:

1 Simplify  -2-4−2−4  to  -6−6.

2-19-(-6)\times (-5-(-7))\times 22−19−(−6)×(−5−(−7))×2

2 Remove parentheses.

2-19-(-6)\times (-5+7)\times 22−19−(−6)×(−5+7)×2

3 Simplify  -5+7−5+7  to  22.

2-19-(-6)\times 2\times 22−19−(−6)×2×2

4 Simplify  (-6)\times 2\times 2(−6)×2×2  to  -24−24.

2-19-(-24)2−19−(−24)

5 Remove parentheses.

2-19+242−19+24

6 Simplify  2-192−19  to  -17−17.

-17+24−17+24

7 Simplify.

7

what is m<2? and what ism<4

Answers

Answer:

a and c

Step-by-step explanation:

∠ 1 = 60° ( vertical angle )

The sum of the 3 angles in a triangle = 180°, thus

∠ 2 = 180° - (60 + 70)° = 180° - 130° = 50° → a

(7)

∠ 3 = 180° - (60 + 40)° = 180° - 100° = 80°

∠ 3 and ∠ 4 are adjacent angles and supplementary , thus

∠ 4 = 180° - ∠ 3 = 180° - 80° = 100° → c

the answer is A and C

 What are the similarities and differences between the standard form and vertex form of a quadratic equation?

Answers

Step-by-step explanation:

Standard form is ax^2 + bx + c. Vertex form is a(x-h)^2 + k, which reveals the vertex and axis of symmetry. Factored form is a(x-r)(x-s), which reveals the roots.

can anyone help me and please explain

Answers

The answer is r=2/5b

The table of values represents the function g(x) and the graph shows the function f(x).

Which statement about the functions is true?
1. f(x) and g(x) are both absolute value functions.
2. f(−2) is greater than g(−2) .
3. f(x) and g(x) intersect at exactly two points.
4. f(x) is greater than g(x) for all values of x.

Answers

Answer:

2 and 3 are true

Step-by-step explanation:

1. Although f(x) is in fact an absolute value function and g(x) never goes below 0, g(x) is not an absolute value function because it does not grow linearly. This is known because, between even x intervals, the y value does not change the same amount.

2. f(-2)=2, and g(-2) is 1, meaning that this statement is in fact correct.

3. For this part, it would probably be a good idea to figure out the equation of both graphs. For g(x), starting at the line of symmetry at x=-3, y is 0, which means that the parabola has not been shifted up or down at all, and that its vertex is at (-3,0). Since it grows at the same rate as the parent function of a parabola, its graph is (x+3)^2. For f(x), you can see that it is an absolute value shifted left 3 and up 1, giving it an equation of |x+3|+1. Now, I've graphed both of them below, and you can see that they intersect at exactly two points, making this statement true.

4. Once again, the graph is helpful here. You can see that although f(x) starts off greater, g(x) with its exponential growth quickly overtakes it. Therefore, this statement is false.

Hope this helps!

Answer:

B and C

Step-by-step explanation:

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