Latanya was asked to determine if (375,4) lies on the circle with radius 7 centered at (0.-2). what is her error?
x2 + (y-2)2 = 49
(3/5)2 + (4 - 2)2 = 49
45+ 4 = 49
the point (375,4) lies on the circle
with radius 7 and centerd at (0,-2). what is her error

Answers

Answer 1

The point (3/5,4) would lie on the circle if it makes the equation of the circle to be true

Latansha's equation of the circle is wrong

How to determine her error?

The given parameters are:

Center = (a,b) = (0,-2)

Radius, r = 7

The equation of a circle is:

[tex](x - a)^2 + (y - b)^2 = 0[/tex]

This gives

[tex](x - 0)^2 + (y + 2)^2 = 0[/tex]

Rewrite as:

[tex]x^2 + (y + 2)^2 = 0[/tex]

In Latanya's first step, we have:

[tex]x^2 + (y - 2)^2 = 0[/tex]

By comparing her first step with x^2 + (y + 2)^2 = 0, we can see that her equation is wrong

Hence, Latansha's error is that she determine the equation of the circle, wrongly.

Read more about circle equations at:

https://brainly.com/question/1559324


Related Questions

the dimensions of a rectangular dining room are 18 feet by 16 feet long if a scale factor 1/4 is used to make a scale model of the dining room what is the area of the dining room in the scale model.​

Answers

calculate the sides of the rectangle in scale factor model

Length: 18 * 1/4 = 4.5 feet

Width: 16 * 1/4 = 4 feet

Rectangle area in scale factor model:

Length * Width

4.5 * 4

18 feet²

Answer:

Given dimensions of a rectangular dining table:

width = 18 ftlength = 16 ft

If a scale factor of [tex]\dfrac14[/tex] is used, then we need to multiply each measurement by [tex]\dfrac14[/tex]:

[tex]\implies \textsf{width}=18 \times \dfrac14[/tex]

                [tex]=4.5 \textsf{ units}[/tex]

[tex]\implies \textsf{length}=16 \times \dfrac14[/tex]

                 [tex]=4 \textsf{ units}[/tex]

Therefore, the scale model of the dining room will be 4.5 by 4 units.

Someone help with this i beg!

Answers

hello!

[tex]==================================[/tex]

the rule for the first sequence is "add 1"

so we add 1 in order to get to the next term.

the rule for the next sequence is "add 5"

here, we add 5 in order to get to the next term.

the rule for the next sequence is "subtract 2"

in this sequence, we subtract 2 every time.

the rule for the next sequence is "add 7"

so we add 7 (13+7 does equal 20):)

the rule for the fifth sequence is "multiply by 2"

so this is a geometric sequence, because we use multiplication in order to get to the next term.

the rule for the sixth sequence is "subtract 6"

- we subtract 6 each time :)

the rule for the 7th sequence is "add 2"

the rule for the 8th sequence is "subtract 3"

the rule for the 9th sequence is "multiply by 7"

[tex]\rule{200}{2}~\rule{100}{2}[/tex]

Let's write down the next 2 terms for each sequence.

(the terms are highlighted in bold)

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

4, 9, 14, 19, 24, 29, 34, 39

32, 30, 28, 26, 24, 22, 20, 18

6, 13, 20, 27, 34, 41, 48, 55

3, 6, 12, 24, 48, 96, 192, 384

36, 30, 24, 18, 12, 6, 0, -6

-13, -11, -9, -7, -5, -3, -1

48, 45, 42, 39, 36, 33, 30

1, 7, 49, 343, 2401, 16807, 117649

[tex]\rule{200}{2}[/tex]

note:-Hope everything is clear; if you need any more explanation, kindly ask me; I will comment and/or edit my answer.

What are the new coordinates of the figure above if it is dilated by a scale factor of 4, with the origin as the center of dilation ?

A. A’ (-1,-4), B’(-4,4), C’(2,-4)

B. A’(-4,-1), B’(-4,4),C’(8,-1)

C. A’(-5,-5), B’(-5,5),C’(6,-5)

D. A’(-4,-4), B’(-4,4)C’(8,-4)

Answers

Answer:

D. A’(-4,-4), B’(-4,4)C’(8,-4)

Step-by-step explanation:

[tex]\sqrt[2]{80x^{2}y^{25} }[/tex]

Answers

Answer:

4xy^5√5

Step-by-step explanation:

√80 x √x² x √y^25

=4√5 x x x y^5

= 4√5xy^5

Answer:

  4xy^12√(5y)

Step-by-step explanation:

Squares under the radical can be factored out.

  [tex]\displaystyle \sqrt{80x^2y^{25}}=\sqrt{(4xy^{12})^2\cdot5y}=\boxed{4xy^{12}\sqrt{5y}}[/tex]

_____

Additional comment

Some versions of this question may have different exponents.

Can someone explain on how to find this question please?

Answers

Answer:

∠ SOU = 138°

Step-by-step explanation:

the opposite angles of a tangent kite are supplementary, sum to 180° , so

∠ SOU + ∠ STU = 180° , that is

∠ SOU + 42° = 180° ( subtract 42° from both sides )

∠ SOU = 138°

Please help me complete this chart. No URLS

Answers

Answer
y-intercept= 10
zeros= -2and4
vertex= (1,12)
Maximum Value
(negative) downward opening
axis of symmetry = x=1

Hope this helps! : )

4x^2−24x

that is a 4x to the second power thanks you people are so helpful oh yeah factor it thats it

Answers

Answer:

See below.

Step-by-step explanation:

4x^2-24x

Find the GCF.

4 - 1, 2, 4

24 - 1, 2, 3, 4, 6, 8, 12, 24

The GCF of x^2 and x is x.

The complete GCF is 4x.

4x(x-6)

-hope it helps

Martin drew a scale drawing of an arcade. The scale he used was 1 inch : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing?

Answers

Answer: 3 inches

Step-by-step explanation: 9 divided by 3 is 3

what is the slope between (8, -2) and (-7, 10)?

Answers

Answer:

-1/15 is the slope

Use the y2-y1/x2-x1 formula and plug in the variables

M = -1/15 is the slope between the two points

i only need help finding the radius that’s all thanks

Answers

Answer:

3

Step-by-step explanation:

from the center to the edge of circle, just counts 3

Please assist. No links

Answers

Answer:

(B) is the answer of your question

Figure #3 (Round to the nearest tenth)
Volume =_____cm^3​

Answers

The volume of a cylinder is pi•r^2•h. In this case we are finding the volume of a half cylinder, so the answer will be divided by two.
The diameter is 4 so the radius is 2.
Pi • 2^2 • 15 = 188.496 / 2 = 94.248

solve . x -13 < -11

A.
x <-2

B.
x < 2

C.
x > 24

D.
x > -24

Answers

x - 13 < - 11

x < - 11 + 13

x < 2

Find M angle B.
Round to the nearest degree.

Answers

Answer: 41

Step-by-step explanation:

thankyou for the help

Answers

Answer:

d because a straight line has the angle of 180

look figure and give exact answer.​

Answers

Answer:

Those two lines are equal

PLEASE HELP ME QUICK !!

Answers

Answer:

9.138

10.28

11.26

12.55

ANSWER :

9.) 138

10.)28

11.)26

12.)55

HOPE IT HELPS

# CARY ON LEARNING

What is the solution to y=-2x+7 and y=5x-7

Answers

Answer:

x-2,y= 3, it can also be written as (2 ,3)

Step-by-step explanation:

2x-7y=5x-7-2x-7=5x-75x+2x=

7+77x=14x=2y=5x-7=5*2-7=10-..

Which statement is correct?

Answers

Answer:

C because the answer is right

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. what is the complement of mariah choosing three mysteries?

Answers

The probability is the ratio of the favorable event to the total number of events. Then the probability of choosing three mysteries books is 0.877%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.

The total number of books will be

Total books = 5 + 7 + 8

Total books = 20

The total number of the event will be

[tex]\rm Total \ event = \ ^{20}C_3 \\\\\\Total \ event = \dfrac{20!}{(20-3)!3!}\\\\\\Total \ event = 1140[/tex]

The favorable event will be

[tex]\rm Favorable \ event = \ ^{5}C_3 \\\\\\Favorable \ event = \dfrac{5!}{(5-3)!3!}\\\\\\Favorable \ event = 10[/tex]

The probability of choosing three mysteries books will be

[tex]\rm P = \dfrac{10}{1140}\\\\\\P = 0.00877 \ or \ 0.877\%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

D

Step-by-step explanation:

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. What is the complement of Mariah choosing three mysteries?

not choosing a mystery

choosing at least one mystery

choosing three mysteries

not choosing all mysteries

D is the right answer

What is a line? What is an angle? How do you describe a line and an angle? How do we know if an angle is right? obtuse? acute? or a full circle?

Answers

Answer:

A line is something that goes on endlessly in both directions. An angle is the number of degrees at a point where two rays meet. We know if an angle is right if there is a right angle that measures up to 90°. An obtuse is any angle that measures over 90° and an acute angle is under 90°. Hope this helps! :)

Step-by-step explanation:

Multiply. Write your answer in simplest form. 2 5/6x2/5

Answers

Answer:

17/15

Step-by-step explanation:

2 5/6 x 2/5

convert 2 5/6 into improper fraction

17/6 x 2/5

cancel out the greatest common factor which would be the 6 and the 2

17/3 x 1/5

multiply straight across

17/15

could also be written as 1 2/15 or 1.13

what is 62.28 dived by 0.72 step buy step

Answers

Answer:

62.28divided by 0.75 = 83.04

Step-by-step explanation:

PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

A plane travels a distance of 3,300 miles at a rate of 550 mph. How long will it take
the plane to reach its destination?

Answers

Answer:

6 hours

Step-by-step explanation:

Divide 3300 by 550, so it's 6.

Guys can you help me with this please​

Answers

Answer:

AC=18.1cm

Step-by-step explanation:

When we subtract 11-4=7cm  we get one cathetus of the right triangle a=7cm also we know hypotenuse which is c=16cm.

We will use Pythagorean theorem to find the second cathetus b

b=√16∧2-7∧2= √256-49= √207 ≈ 14.39cm =DC =>

AC =√(DC)∧2+(AD)∧2= √14.39∧2+11∧2= √207+121= √328= 18.1cm

AC=18.1cm

Element X decays radioactively with a half life of 8 minutes. If there are 170
a
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 5 grams?
y = a(.5)

Answers

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.

How to analyze a radioactive decay case

Let suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.

We know that decay behaves exponentially and follows this model:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]   (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in minutesτ - Time constant, in minutesm(t) - Current mass, in grams

The time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]   (2)

If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:

τ ≈ 11.541 min

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

t ≈ 40.698 min

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]

To learn more on radioactive decay, we kindly invite to check this verified question: https://brainly.com/question/27156663

is 0.7070707070 is an irrational number.

Answers

Answer:

No

Step-by-step explanation:

numbers with decimals that terminate or repeat are not irrational. they are rational.

Numbers with decimals or determine it to be internal so the answer is no

Cole is buying a new rain barrel to help with watering his garden. The rain barrel is shaped like a right circular cylinder. What is the volume of the rain barrel if it is 26 inches tall and has a diameter of 22 inches? Use straight pi equals 3.14.

A right circular cylinder diameter 22 inches and a height of 26 inches.

V equals_(blank)_ inches cubed

Round to the nearest hundredth if necessary. Type your numerical answer (without units) below.

Answers

Answer:

[tex]V = 9878.44 in^3[/tex]

Step-by-step explanation:

The volume of a cylinder, is essentially base multiplied by height. Think of it like this, you are taking a flat 2D circle and extending it in 3rd dimension by a length 'h'.

[tex]V = base * h[/tex]

The base here is the circle area, and the height is the amount you extended that 2d circle in the 3rd dimension.

The area of a circle is [tex]\pi r^2[/tex]. If we put that into our equation we get the volume of a cylinder.

[tex]V = \pi r^2 *h[/tex]

Now applying that to the question; Firstly, we are given the diameter, which is 22 inches. We need radius, to actually put it in the equation. The diameter is essentially 2 multiplied by the radius. That means to get the radius we divide the diameter by 2, giving us 11 inches. Next we are given how tall it is, 26 inches; that is the height.

[tex]r = 11in\\h = 26in[/tex]

Plug these values into the equation.

[tex]V = 3.14(11in)^2 * 26in[/tex]

Calculate this, and you get [tex]V = 9878.44 in^3[/tex]

Help pleaseeeeeeeeeeee

Answers

Answer:

C. 72

Step-by-step explanation:

your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm

so we know cos = adjacent/ hypotenuse

so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)

after typing into calculator you should get about 72

Answer:

C

Step-by-step explanation:

cos(0)= Adjacent/Hypotenuse

cos(0)= n/p

cos(0)=2.4/7.8

cos(0)=4/13

(0)=cos‐¹(4/13)

(0)=72.07978686

(0)=72°

angle (0)= 72°

Kris’s mom is putting up a border on the walls of Kris’s room. Her room is 12 feet long and 10 feet wide. How many borders will be needed to go all the way around the room?

42 feet
44 feet
22 feet
120 feet

Answers

= 12 + 10 + 12 + 10

= 2x12 + 2x10

= 24 + 20

= 44 feet of borders

Answer:

its 44

Step-by-step explanation:

add 10+10 then add 12+12

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