How many points are 3 units from the y-axis and 1 unit from (4,1)?

Answers

Answer 1

Intuitively we're being asked how many points on the radius 1 circle centered at (4,1) are three units from the y axis.  The answer is pretty obviously

Answer: One point

We'll work it out the usual way.

Let's give coordinates (x,y) to a point 3 units from the y axis and 1 unit from (4,1).

The x coordinate tells us how far we are from the y axis.  3 units from the y axis means

|x| = 3

x = ±3

One unit from (4,1) means

(x - 4)² + (y - 1)² = 1²

Let's try x=-3

(-7)² + (y - 1)² = 1

(y - 1)² = -48

No solution there

Let's try x=3

(3 - 4)² + (y - 1)² = 1

(-1)² + (y - 1)² = 1

(y - 1)² = 0

y - 1 = 0

y = 1

So (3,1) is the only point 3 units from the y axis and 1 unit from (4,1).

That verifies our answer above.


Related Questions

15 POINTS IF SOMEONE ANSWERS QUICK

15 POINTS IF SOMEONE ANSWERS QUICK

Answers

Answer:

The 16 cases will fit the box as shown.

Step-by-step explanation:

One disk case has the dimensions 14.2 cm by 19.3 cm, with thickness 1.6 cm.

Temporarily ignoring the 14.2 cm and 19.3 cm measurements, we multiply this 1.6 cm thickness by 16, obtaining a total thickness for the stack of cases of 25.6 cm.  

1) The 16 cases, arranged as shown, and measuring 25.6 cm from left to right in this diagram, will fit within the 26 cm horizontal distance shown.

2) The horizontal length of each case is 14.2 cm.  Stacked as shown, the 16 cases will fit within the 15 cm depth of the box.

3) The vertical measurement of each case is 19.3 cm.  The 20 cm vertical measurement of the box can accommodate this 19.3 height within 20 cm.

All indications are that the 16 cases will fit comfortably inside the box.

Answer:

16 discs capacity of the cuboid.

Step-by-step explanation:.

for simplicity...

i would just divide 26cm to 1.6cm = 16 .25

therefore,  16 discs capacity of the cuboid.

Which is the graph of y = 2x?

A.
B.
C.
D.

Which is the graph of y = 2x?A.B.C.D.
Which is the graph of y = 2x?A.B.C.D.

Answers

Answer:

the answer is A

Step-by-step explanation:

A, the graph goes up two and over one. 2x1=2, so when x is 1 y will be 2. 2x2=2, so when x is 2 y will be 4.

HELP PLEASE I REALLY NEED HELP

HELP PLEASE I REALLY NEED HELP

Answers

-3.121875

First step is take it out of fractions and into decimals, they are easier to work with.

(0.5x1.125)x(2.66x3.33)x7.5

Then PEMDAS

Parentheses
0.625x-0.66x7.5

Then multiply

-0.41625x7.5

Answer
-3.121875
Hi how has your day been

Math!!!
PLEASE!!!
:)
THANK YOU!!!

Math!!!PLEASE!!!:)THANK YOU!!!

Answers

Answer:

x=7.13 centimeters

Step-by-step explanation:

Remember!!! Trig Functions: Sinθ=Opposite/Hypotenuse, Cosθ=Adjacent/Hypotenuse, tanθ=Opposite/Adjacent (An easy way to remember is SOH CAH TOA)

For this particular problem you need to find the opposite side and the hypotenuse is given and so is the angle. So we can plug into Sinθ=Opposite/Hypotenuse in our calculator:

Sin(63°)=x/8

8(Sin(63°))=x

x=7.13

The answer for this question is x=7.13

Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.



What is the mean number of minutes spent on the phone?

Some students recorded how many minutes they spent on the phone in one day. They put the results in a

Answers

Answer:   31

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

\(xy=a\frac{1}{x^{2} } +\frac{1}{y^{2} }=b\) find \((x+y)^{2}\) in terms of \(a\) and \(b\).

Answers

1000924 …………….!!!……..
i want to say its
x
2
+
2
x
y
+
y
2
x
2
+
2
x
y
+
y
2

An object has a weight of 13.2 pounds.

What is its approximate mass in kilograms?

Use 1 kilogram=2.2 pound to write the conversion factor.

Answers

5.987 kilograms but round up to 6 kilos

Answer:5.987 kilograms

Step-by-step explanation:

Find the area of the shaded region, show all of your work:

Find the area of the shaded region, show all of your work:

Answers

Answer:

255.7cm^2  to 1 dp

Step-by-step explanation:

Area of a full circle is:  pi R^2

= pi 10^2

= 100 x pi

= 314.159265 cm^2

We then divide by 314.159265/ 360 = 0.872664625 cm^2

And multiply by 293 x 0.872664625 = 255.690735 cm^2

= 255.7cm^2

Solve the system using elimination and find the y and x coordinates

Solve the system using elimination and find the y and x coordinates

Answers

Answer:(-1,1)

Step-by-step explanation:

Answer:

Your answer is: (2,-1). I provided a picture in case you need to show your work.

Solve the system using elimination and find the y and x coordinates

A gift shop sells rectangular glass dishes in different sizes. Some of the dimensions are given in the table. Fill in the missing dimensions.​

A gift shop sells rectangular glass dishes in different sizes. Some of the dimensions are given in the

Answers

Answer: 3, 4, 5, 5, 4

Step-by-step explanation: For the 18 times 3x2 which is 6 now 6x?= 18 so the ? is 3

3x2=18 6x?=18 (3)

3x2=6 6x?=24 (4)

3x2=6 6x?=30 (5)

4x2=8 8x?=40 (5)

4x3=12 12x?=48 (4)

Answer: 3, 4, 5, 5, 4

Step-by-step explanation: 3 x 3 = 9. 9 x 2 = 18. The length in inches is 3 inches. 2 x 4 = 8. 8 x 3 = 24. The width in inches is 4 inches. 3 x 2 = 6. 6 x 5 = 30. The height in inches is 5 inches. 5 x 4 = 20. 20 x 2 = 40. The length in inches is 5 inches. 4 x 3 = 12. 12 x 4 = 48. The height in inches is 4 inches.

Help me with the image i sent

Help me with the image i sent

Answers

just get the area for all of them and add legth time width

Do area which is base x height x width and add the length

Solve the polynomial by completing the square. Show all steps of your work.
\(x^2 - 11x + 24 = 0\)

Answers

Find the common factors that multiply to get 24 and add to get -11 (-8,-3)
Set them equal to 0
-8=0 -3=0 switch the signs
{3,8}
Given equation:
x
2
+11x+24=0
Adding (
2
11

)
2
on both side, we get
x
2
+11x+
4
121

+24=
4
121


⇒(x+
2
11

)
2
=
4
121

−24=
4
25


⇒x+
2
11


2
5


⇒x=±
2
5


2
11


⇒x=−8 or x=−3

Find and interpret the marginal frequencies. Cell Phone Company A B Data Plan Limited 78 94 Unlimited 175 135 people have a limited data plan. people have an unlimited data plan. people use Company A. people use Company B. people were surveyed. Skip to navigation

Find and interpret the marginal frequencies. Cell Phone Company A B Data Plan Limited 78 94 Unlimited

Answers

Answer:

78

Step-by-step explanation:

78

4x + 4r = 2d

help me pizzzz

Answers

Answer:

Whats the Question?

Step-by-step explanation:

Start by solving for X first then solve the rest with that

Which table has a constant of proportionality between y and x of 3/4?
( 12 Points)
if this question is answer properly/correctly, will receive 12 points! Congrats!!!.
Answer it please I need help!!

Which table has a constant of proportionality between y and x of 3/4? ( 12 Points)if this question is

Answers

x of 3/4 = x10 abd y 19/2 or 11

B because 3/3/4 is equal to 4/4/3 and 5/5/3

PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!

PLEASE HURRY!!!!!!!!!!!!!!!!!!!!!!

Answers

C. 167 243/386 I think

Answer:

167 243/386

Step-by-step explanation:

Can somebody please help me with questions 9 and 10, please

Answers

We can’t see those questions we don’t know what you are working on.
The picture does not show anything, but feel free to message me on what you need help with !

Use the Midpoint Rule with \(n=5\) to estimate the volume obtained by rotating about the y-axis the region under the curve \(y=\sqrt{1+x^3}\), \(0\leq x\leq 1\).

Answers

To estimate the volume using the Midpoint Rule with \(\displaystyle n=5\), we need to divide the interval \(\displaystyle 0\leq x\leq 1\) into \(\displaystyle n\) subintervals of equal width. Since \(\displaystyle n=5\), each subinterval will have a width of \(\displaystyle \Delta x=\frac{1-0}{5}=\frac{1}{5}\).

Now, let's calculate the volume using the Midpoint Rule. The formula for the volume obtained by rotating about the y-axis is:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{n}y_{i}\Delta x\)

where \(\displaystyle y_{i}\) represents the value of the function \(\displaystyle y=\sqrt{1+x^{3}}\) evaluated at the midpoint of each subinterval.

First, let's find the midpoints of the subintervals. Since the width of each subinterval is \(\displaystyle \Delta x=\frac{1}{5}\), the midpoint of the \(\displaystyle i\)-th subinterval is given by:

\(\displaystyle x_{i}=\frac{\Delta x}{2}+\left( i-\frac{1}{2}\right) \Delta x=\frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\)

Substituting \(\displaystyle x_{i}\) into the function \(\displaystyle y=\sqrt{1+x^{3}}\), we obtain:

\(\displaystyle y_{i}=\sqrt{1+\left( \frac{1}{10}+\left( i-\frac{1}{2}\right) \frac{1}{5}\right) ^{3}}\)

Now, we can calculate the approximate volume using the Midpoint Rule:

\(\displaystyle V\approx 2\pi \sum _{i=1}^{5}y_{i}\Delta x\)

Substituting the values of \(\displaystyle y_{i}\) and \(\displaystyle \Delta x\) into the formula, we can evaluate the sum and compute the estimated volume.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The answer your looking for is right above my

Each floor of a parking garage can hold 90 cars. When all of the floors are full, there are 450 cars in the garage altogether. What fraction of the cars is parked on the ground floor?

Answers

90 cars out of 450

90 / 450 = 1/5

I guess the number of floors is 5

There would be 5 floors

Please Help!!! Ill give 30 points A train travels at 80 miles per hour. An equation can be written that compares the time (t) with the distance (d). What is the domain and range?

1. The domain is distance (d) and the range is time (t).

2. The domain is time (t) and the range is distance (d).

3. The domain is time (t) and the range is 80.

4. The domain is 80 and the range is time (t).

Answers

I think it’s 1: “the domain is distance (d) and the range is time (t)

Answer:

I think it’s 1: “the domain is distance (d) and the range is time (t)

Step-by-step explanation:

16606 divided by 19 ?

Answers

16,606 divided by 19 is 874.

Answer:

874

Step-by-step explanation:

16,606÷19=874

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?
Plz answer quick it's a test

Which number line represents the solution set for the inequality 3(8 4x) &lt; 6(x 5)?Plz answer quick

Answers

I believe the answer you are looking for is the 3rd one

Answer:

Step-by-step explanation:24-12x<6x-30

24<18x-30

54<18x

Divide. 54/18= 3 3<x. It should be the first one if I’m right?

1/2 + 1/3 PLEASEE in fraction

Answers

1/12

This is because a common number between the two is 12 so 1/2 + 1/3 = 1/12

1/2+1/3=1/12 in fraction

how many inches are in 4 yards

Answers

Answer:

144 inches

Step-by-step explanation:

There are 144 inches in 4 yards

1/4 divided by 1 1/8
pls help ill give big brain

Answers

We can turn 1 1/8 into improper fraction, which is 9/8.

1/4 divided by 9/8

keep change flip

keep the 1/4, change divide into multiplication, flip 9/8

1/4 * 8/9
8/36
2/9

Answer:

2/9

Step-by-step explanation:

1/4 divided by 1 1/8.

First rewrite 1 1/8 as an improper fraction.

You now have 1/4 divided by 9/8.

When dividing by a fraction you multiply by the reciprocal.

You now have 1/4 * 8/9.

Now Multiply the numerators across and the denominators across to get 8/36.

Simplify the fraction. 2/9

Which set of points could represent one of the side lengths of a square that is congruent to the one shown on the coordinate plane
A (3, 0) and (−3, 0)
B (−4, −4) and (−4, −8)
C (−3, −2) and (−6, −2)
D (−2, 6) and (2, 6)

Answers

Hi, I would love to help but Im not able to because I don't see the graph. Because its asking "shown on the coordinate plane" and we don't see it. so if you could provide a picture or points I could help you!!

either I would be B or C

The ratio of the perimeter of a regular hexagon to the length of one of its sides is always 6 to 1.
Complete the table.
Perimeter of hexagon (inches) 6 30 48
Side length of hexagon (inches) 1
9

Answers

Answer:

45

Step-by-step explanation:

6+30+48-1-9=45

Answer 45
Explanation: adding all number together equal 45

The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?

Answers

Answer:

25.685 square feet.

Step-by-step explanation:

Circumference = 2 * π * radius

From this, we can derive the formula for the radius:

radius = Circumference / (2 * π)

Let's substitute the value of the circumference and calculate the approximate radius:

radius = 18 / (2 * π)

radius ≈ 18 / (2 * 3.14159)

radius ≈ 2.865 feet

Now that we have the approximate radius, we can calculate the area:

Area ≈ π * radius²

Area ≈ 3.14159 * (2.865)²

Area ≈ 3.14159 * 8.193225

Area ≈ 25.685 square feet

Therefore, the approximate area inside the circular park is approximately 25.685 square feet.

We know that the circumference of a circle is given by:

C = 2πr

where C is the circumference and r is the radius of the circle.

In this case, we are given that the circumference is approximately 18 feet, so we can set up the following equation:

18 = 2πr

Solving for r, we get:

r = 9/π ≈ 2.864 feet

Now we can use the formula for the area of a circle:

A = πr^2

Substituting the value we found for r, we get:

A = π(2.864 ft)^2 ≈ 25.85 ft^2

Therefore, the approximate area inside the circular park is approximately 25.85 square feet.

The price was $250. Now its 100 find the percentage change

Answers

Answer:

Step-by-step explanation:

The formula for percent change is

\(\frac{original-new}{original}*100\)

Therefore,

\(\frac{250-100}{250}*100=60\)%

Answer: 60%

Step-by-step explanation:250 - 100 = 150

150/250 = 60/100 = 60%

Please Help me out!
1.) Hexagon: x = _______
Set up a proportion to solve for y.
y = _______

2.) Set up a proportion to solve for z.
z = __________

Please Help me out!1.) Hexagon: x = _______Set up a proportion to solve for y.y = _______2.) Set up a

Answers

Answer:

1. x = 82 y = 402. z = 80
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