Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is negative 3. The distance between point A and point B is 10 units. What are the possible coordinates of point​ A?

The possible coordinates of point A are

Answers

Answer 1

Answer:

Either A= (-3,10)

OR A= (-3,-6)

Step-by-step explanation:

A = (-3,y)    B = ​(3​,2​)

(Distance from A to B) = √[(-3-3)²+(y-2)²]=10

√[36+y²-4y+4]=10

√[y²-4y+40]=10

squaring on both sides

y²-4y+40=100

y²-4y-60=0

y²-10y+6y-60=0

y(y-10) + 6 (y-10)=0

(y - 10)(y + 6)=0

Either y=10 =>A= (-3,10)

OR y=-6 =>A= (-3,-6)


Related Questions

write the following ratio in the simplest form

1/2:3/5

Answers

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}:\frac{3}{5}=\frac{1*5}{2*5}:\frac{3*2}{5*2}\\\\=\frac{5}{10}:\frac{6}{10}\\\\= 5:6[/tex]

Help Please! Please Explain.
Marissa jumped 42 times in 7 hours. At that rate, how many times would she jump in 30 minutes?

Answers

Answer:

3

Step-by-step explanation:

Well first let's calculate how many times she jumped per hour. For that we need to divide 42 by 7 which is 6. Now we need to divide that by two because they are asking for every half hour, not every hour. So 6 divided by 2 is 3. So our answer is 3.

WILL MARK YOU BRAINLIEST

Answers

Answer:The area is 14306. 625 cm.

Step-by-step explanation:

To find the area of the circle, we will need to find the diameter and find the radius.

So we know the circumference is  423.9 m and we know to get the circumference, you will need to multiply pie by the diameter .

so now we need divide the circumference by pie to find the diameter.

423.9/ 3.14 = 135  so 135 is the diameter.

To find the radius we need to divide the diameter by 2.

135/2 = 67.5

Now is time to find the area which uses the formula  A= nr^2

A = 3.14 * 67.5^2

A = 14306. 625

Which table shows that x and y are directly proportional?

Answers

Answer:

First row, first column table

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if you want to know if they are proportional, then do 1/2 = or not to 3/6.

continue doing this to the other numbers

can you determines a triangle's side by it's angle?

Answers

Answer:

yes

Step-by-step explanation:

use a set, if there is a base, place the protractor and the side will determine what angle it is.

Find the sum of the numbers as a product of their GCF is 84 + 108

Answers

Hey there! :)

I believe the correct answer to your question is 12.

Find the prime factorization of 84

84 = 2 × 2 × 3 × 7

Find the prime factorization of 108

108 = 2 × 2 × 3 × 3 × 3

To find the gcf, multiply all the prime factors common to both numbers:

Therefore, GCF = 2 × 2 × 3

GCF = 12    

Hopefully this can help you out!

what is 1/7 plus 1 1/5

Answers

Answer:

2 12/35

Step-by-step explanation:

you have to change them into /35 so they'll add together.

Answer:

Exact Form:

47/35

Decimal Form:

1.34285714…

Mixed Number Form:

1  12/35

Step-by-step explanation:

Hope this helps : )

Finding the Likelihood of an Event
Each time you roll a number cube, a number from 1 to 6 lands face up. This is called an event.

Directions: List the possible outcomes for each event. Then, write where that event may fit on the scale (from impossible to certain).






Rolling a number less than 7


Example:

1, 2, 3, 4, 5, 6; 6 out of 6 possible rolls Likeliness: Certain [100%]

Rolling an 8





Rolling a number greater than 4





Rolling a 5





Rolling a number other than 6





Rolling an even number





Rolling a number less than 5





Rolling an odd number





Rolling a number divisible by 3






Answers

Answer:

0/6, 1/3, 1/6, 5/6, 1/2, 2/3, 1/2, 1/3

Step-by-step explanation:

hope this helps

Solve for x
(x+54)
5x

Answers

X=9

You would do 54 divided by 5x and it would equal to 9 that means x is 9

Answer:

X= 10.8

Step-by-step explanation:

You do 54 divided by 5X, which 54 divided by 5 is 10.8, so that would mean that 10.8 is = to X

jordan got 27 out of 90 correct in his test. what fraction of the marks did he get wrong ? give your answer in the simplest form

Answers

Answer:

63/90

Step-by-step explanation:

just subtract 27 from 90 and you will get 63 so jordan got 63 questions wrong out of 90 which means 63/90.

Answer:

7/10

Step-by-step explanation:

50 POINTS find the length of ab plz help me

Answers

Answer:

about 9.4 units

Step-by-step explanation:

Distance formula:

√(x1 - x2)² + (y2 - y1)²

Coordinates:

A (4, 2)

B (9, 10)

Let's make 9 = x1

Let's make 4 = x2

Let's make 10 = y1

Let's make 2 = y2

Substitute into the distance formula:

√(x1 - x2)² + (y2 - y1)²

√(9 - 4)² + (2 - 10)²

Solve:

√(9 - 4)² + (2 - 10)²

√(5)² + (-8)²

√25 + 64

√89

≈ 9.4

Therefore, the length of AB is approximately 9.4 units.

Answer:

About 9.4 units

Step-by-step explanation:

To find the distance between two points

d = sqrt(( y2-y1) ^2 + (x2-x1) ^2)  where (x1,y1) and (x2,y2) are the points

   =  sqrt(( 10-2)) ^2 + (9-4) ^2)

   =  sqrt((8) ^2 + (5) ^2)

   = sqrt(64+ 25)

    = sqrt(89)

   =9.433981132

About 9.4 units

Find the area of each square given the side S or the perimeter P. S = 2 yd Thank you if u r helping me!

Answers

Answer:

I think the perimeter is 8 yd

Step-by-step explanation:

Because it's a square, if one side is 2 yd then we can assume that the remaining 3 sides are also 2 yd long. So, 2 yd + 2 yd + 2 yd + 2 yd =  8  yd

Hope this helps :)

33 - [2 · (3 – 7)]
Your answer

Answers

Answer:

41

Step-by-step explanation:

33 - [2 · (3 – 7)]

PEMDAS

Work parentheses inside out

33 - [2 · -4]

33 - (-8)

Subtracting a negative is adding

33+8

41

When filled,a particular round balloon has a diameter of 14 inches.What is the approximate volume of air needed to fill this balloon

Answers

Answer:

Hi the answer you are looking for is 1436.76.

Hope this helps! Study on!

Step-by-step explanation:

If 1/10 < x < 1, for what value of x is the value of 10 + 1/x greatest?

Help quick pleaseee

Answers

Answer:

Step-by-step explanation:

We can safely focus on 1/x.  The smaller x is, the greater 1/x will be.  Note that x cannot equal zero.  Here we are asked to focus on 1/10 < x < 1, in which 1/10 is obviously the smallest x value.  But 1/10 < x < 1 restricts x to numbers greater than 1/10.  The graph of y = 10 + 1/x is not defined for x = 1/10, but as we approach x = 1/10 along the graph, we see the graph approaching (but not touching) the maximum value 10 + 1/(1/10), or 20.

i need help with this

Answers

Answer:

1,468 in³

Step-by-step explanation:

Find the volume of big rectangle = 1,500 in³

Find the volume of small rectangle = 32 in³

Subtract 32 from 1,500

Use the relationship between the angles in the figure to answer
the question.
Which equation can be used to find the value of x?

Answers

Answer:

The answer to the question is X=18

Edge lengths are given in units. Find the surface area of each prism in square units.

Solution:​

Answers

Answer:

408 units^2

Step-by-step explanation:

area of triangle: 1/2(6)(8)=24

24*2=48

area of bottom rectangle: 6(15)=90

area of front rectangle: 15(10)=150

area of back rectangle: 8(15)=120

48+90+150+120=408

Therefore, 408 units^2

I hope this helped and have a good rest of your day!

Bald-faced hornets have a hive that is approximately cone-shaped, as shown in the image. One such hive has a radius of 15 inches and a height of 20 inches.

The volume of this hive is approximately _[blank]_ π in3.

Enter your answer as the correct value, rounded to the nearest tenth, if necessary, like this: 42.5

Answers

Answer:

5340.7

Step-by-step explanation:

So the volume of a cone is πr^2 * h / 3

r = 15

h = 20

225π * 20 / 3 ≈ 5340.7

Approximately 5340.7

Can anyone help please?

Answers

Answer: [tex]5x\sqrt{3x}[/tex]

Step-by-step explanation:

The factors of 75 are 5, 5, and 3. Since there are two 5's, we can  take the square root of them to get 5. x^3 has x, x, and x. There are also two x's, which means that we can square root them to equal just x.

Need help with the photo above. No work needed. Just the answer. Thank you

Answers

Answer: The answer would be B. 12a+6b

The answer is letter B

The graph of f(x) = |x| is vertically stretched by a factor of 3, shifted left 2 units, shifted down 4 units and reflected over the x-axis. What is the function equation of the resulting graph?

Answers

Answer:

The final transformed function becomes:

[tex]f(x)=-3\,|x-2|+4[/tex]

Step-by-step explanation:

The first transformation (vertically stretched by a factor of 3) means we multiply by 3 the original function:

[tex]f(x)= 3\,|x|[/tex]

second transformation (shifted left 2 units) means we add 2 units to "x":

[tex]f(x)=3\,|x+2|[/tex]

third transformation (shifted down 4 units) implies that we subtract 4 units to the full functional expression:

[tex]f(x)=3\,|x+2|-4[/tex]

fourth transformation (reflected over the x-axis) implies that we multiply the full functional expression by "-1":

[tex]f(x)=(-1)\,(3\,|x+2|-4)\\f(x)=-3\,|x-2|+4[/tex]

Step-by-step explanation:

Step 1:  Add the vertical stretch

[tex]f(x) = |x|[/tex]

[tex]f(x) = 3|x|[/tex]

Step 2:  Shift it to the left 2 units

[tex]f(x) = 3|x|[/tex]

[tex]f(x) = 3|x + 2|[/tex]

Step 3:  Shift it down 4 units

[tex]f(x) = 3|x + 2|[/tex]

[tex]f(x) = 3|x + 2| - 4[/tex]

Step 4:  Reflect it across the x-axis

[tex]f(x) = 3|x + 2| - 4[/tex]

[tex]f(x) = -3|x + 2| - 4[/tex]

Answer:  [tex]f(x) = -3|x + 2| - 4[/tex]

The circle below is centered at (3, 1) and has a radius of 2. What is its
equation?
O A. (x-3)2 + (y - 1)2 = 4
O B. (x-1)2 + (x-3)2 = 2
O c. (x - 1)2 + (y - 3)2 = 4
O D. (x-3)2 + (x-1)2 = 2

Answers

Answer:

A

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Subtract 3 hours, 50 minutes from 5 hours, 20 minutes. 2 hours, 20 minutes

Answers

Answer:

1 hours 30 minutes

Step-by-step explanation:

Subtract 5 hours 20 minutes and 3 hours 50 minutes

which gives 1 hours 30 minutes

I think the answer is 1 hour, 30 minutes!

Check all of the points that are solutions to the system of inequalities.
Y=>5x-3
X<5

Answers

Answer:

A (2,8) B (5,30) and C (4,17) are the correct answers. The others are wrong

The price of producing a $4 chocolate bar goes up, so the seller of the chocolate bar raises the price to $5. A student describes the effect on the demand for the chocolate, saying, "Since the price goes up, the quantity demanded will go up." Evaluate the student's answer.


Select the best answer from the choices provided.
A.
The answer is correct because the student describes the effects of the law of supply correctly.
B.
The answer is incorrect because the quantity demanded would go down.
C.
The answer is correct because the student describes the effects of the law of demand correctly.
D.
The answer is incorrect because the student does not mention supply.

Answers

Answer:

the answer is bbbbbbb

Step-by-step explanation:

Which ones are prime numbers

11, 18, 28, 41, or 43 please pick the all the ones that are prime numbers

Answers

Answer:

11, 41, and 43

Step-by-step explanation:

those numbers' only factors are itself and one

Answer:

11, 41, 43

Step-by-step explanation:

prime numbers are numbers that only multiply by 1

I need help on this question who can help

Answers

Answer:

4

Step-by-step explanation:

A number divided by three, then increased by four is nine.
(As an equation)

Answers

Answer:

x = 15

Equation = x

                  __.  +4=9

                   3

Step-by-step explanation:

x = number

x

__.  + 4 =9

3

First, you subtract 4 on both sides of the equation to get x by itself.

x

__. = 5

3

Then, you multiply the denominator (3) on both sides to get x by itself

x = 15

Part of Sal's budget is shown. What percentage of his income goes toward savings?
A. 95%
B. 10.53%
C. 9.5%
D. Cannot tell from the information given

Answers

Answer:

9.5%

.................

Answer:

it is 9.5%

Step-by-step explanation:

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