Point B has coordinates ​(3​,2​). The​ x-coordinate of point A is −6. The distance between point A and point B is 15 units. What are the possible coordinates of point​ A?

Answers

Answer 1

Answer:

Distance between two points= √(x2-x1)²+(y2-y1)²

D= 15units

Let "k" be the y-coordinate of A

A(-6,k)

B(3,2)

15= √(3--6)²+(2-k)²

Taking square of both sides to eliminate the square root.

15²=(9)²+(2-k)²

225=81+4-4k+k²

k²-4k - 140=0

Using Quadratic Formula to evaluate

k= 14 or k=-10

The Possible coordinates of A are

(-6,14) or (-6,-10)


Related Questions

please help meeee. Pleaseeee

Answers

Answer:

in excact terms: 50.26548

to the nearest tenth: 50.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

V = radius^2  x height x π = 4^2 x 1 x π = 16π in^3

16 x 3.14 = 50.26...  = 50.3 in^3

please help guys!!

2.
Recall that
lines never intersect. This is because they have the
same
and different
If their y-intercepts were also the
same, then the lines would
and intersect everywhere. Lines that intersect
to form right angles are called
. When we constructed perpendicular lines,
we
the points of a line 90 degrees. This is how the
angles were created. Algebraically, we say that the slopes are
reciprocals meaning that their slopes have opposite
and flipped
You can check by multiplying them. The
of negative
reciprocals is -1.
Word Bank:
negative
slope
perpendicular
rotated
product
overlap
right
parallel
signs
y-intercept
fractions

Answers

Answer:

and the question is? I'm confused

A coffee roaster is designing a coffee can that can be modeled with a right cylinder for its new Breakfast Blend . Breakfast Blend costs the roaster $0.03 per cubic inch to produce. The roaster wants the can to contain an amount of coffee that will cost him no more than $7.50 to produce. Given that the height of the can is to be equal to its diameter, what is the maximum height allowable for the can? Round to the nearest tenth of an inch.

Answers

Answer: 6.8 inches

Step-by-step explanation:

What is the value of the expression 6x - y when x = 3 and y = 1? (5 points)
012
8
O 3
d
17

Answers

Answer:

the answer is 17

Step-by-step explanation:

6×3-1

= 17

Which equation is equivalent to -4(y-2)=12?

1. -4(y-2)=3
2. -4(y-2)=-3
3. y-2=12
4. y-2=3
5. y-2=-3

Please I’ll mark you brainliest if you answer

Answers

Answer:

–4(y–2)=12

y–2=12/–4

y–2=–3

The choose (5)

Someone please help me thank you

Answers

Answer:

[tex]y=-\frac{1}{3}x+-7[/tex]

Step-by-step explanation:

The graph shows a negative slope with 3 units in between each point.

Every 3 x-units, the y-unit goes up once.

What is the length of the missing leg?

Answers

Answer:

Hello! answer: 6

Step-by-step explanation:

8 × 8 = 64

6 × 6 = 36

64 + 36 = 100

√100 = 10 so therefore a = 6 Hope that helps!

need help in this question

Answers

Answer:

B) 9

Step-by-step explanation:

110 + 75 + 11x - 9 + 8x + 13 = 360

19x + 189 = 360

19x (+ 189 - 189) = 360 - 189

19x = 171

19x/19 = 171/19

x = 9

I need help. I don’t understand this problem.
A. Length in the side adjacent to B. Length in the side opposite to C. cos( D. JL/KL

Answers

Answer: one, sorry wrong person

Step-by-step explanation:

question in picture,
find all angles that satisfy the equation below. ​

Answers

the answer is 0 ur welcome!

Suki rode her bike 6/7 mile. Claire rode her bike 1/3 mile. They want to compare how far they each rode their bikes using benchmark 1/2. Select the correct answer to describe how to solve the problem.

Answers

Answer:

6/7 > 1/2

1/3 < 1/2

Suki rode her bike a longer distance than Clarie

Step-by-step explanation:

Suki's distance = 6/7 miles

Compare with bechmark 1/2

6/7 and 1/2

Make the denominators same

(6*2)/(7*2) and (1*7)/(2*7)

12/14 and 7/14

12/14 is greater than 7/14

12/14 > 7/14

Therefore, 6/7 > 1/2

Clarie distance = 1/3 miles

Compare with bechmark 1/2

1/3 and 1/2

Make the denominators same

(1*2)/(3*2) and (1*3)/(2*3)

2/6 and 3/6

2/6 is less than 3/6

2/6 < 3/6

Therefore,

1/3 < 1/2

Compare Suki's distance with Clarie

compare 6/7 and 1/3

Make the denominators same

(6 * 3)/(7 * 3) and (1 * 7)/(3 * 7)

18/21 and 7/21

18/21 > 7/21

Suki rode her bike a longer distance than Clarie

Simplify and give me steps please.
(5m^4/3 x 5n^1/4) (m^1/3 x 2n^1/8)

Answers

Answer:

(25m^4n^1/12)(m^1n^1/12)

Step-by-step explanation:

Re-order terms to the left.  

(5*5m^4/3 * n^1/4) (m^1/3*2n^1/8)

Combine terms

(5*5m^4n^1/3/4)     2m^1n^1/3/3/8    

Multiply

(25m^4n^1/3/4)       2m^1n^1/3/3/8    

(25m^4n^1/3 * 4)    2m^1n^1/3/3*8    

(25m^4n^1/12).        2m^1n^1/3/24

cancel common terms in both num and denominator

   

Final - (25m^4n^1/12) (2m^1n^1/12).

Serena, Alyssa and Katie have just finished lunch at the Rainforest Cafe. Their bill came to $38.96. There is an 8% sales tax. The girls have decided to leave a tip of 15% on the total amount of the bill. How much money did the entire bill come to including the tip?

Answers

Answer:

About $48.39

Step-by-step explanation:

Sales tax only applies to the bill, not the tip.

Calculate the sales tax:

38.96 × 8%

38.96 × 0.08

3.1168

Round to the nearest cent:

3.12

Add the sales tax to the bill:

38.96 + 3.12

42.08

Calculate the tip based "on the total amount of the bill:"

42.08 × 15%

42.08 × 0.15

6.312

Round to the nearest cent:

6.31

Add the tip to the rest of the bill:

42.08 + 6.31

48.39

Ryan has 10 quarters.
Kelly has exactly seven times as much money as Ryan.
They will combine their money to buy a game.
The game costs $27. How much more money do they need to
save?

Answers

Answer:

its b

Step-by-step explanation:

please help :),))))

Answers

Answer:

option 1

Step-by-step explanation:

The rate of increasing is the fastest in exponential functions.

Then comes powers and last logarithmic functions.

The order it increases at the fastest rate.

[tex]log < powers < exponential[/tex]

I need help with this one thank you.

4x+2=-13 solve for x

Answers

Answer:

Solution given

4x+2=-13

subtract each term by 2

4x+2-2=-13-2

divide both side by 4

4x/4=-15/4

we get

x=-15/4

is a required answer.

Let's solve:

[tex]4x+2=−13[/tex]

Step 1: Subtract 2 from both sides.

[tex]4x+2−2=−13−2 \\ 4x = - 15[/tex]

Step 2: Divide both sides by 4.

[tex] \frac{4x}{4} = \frac{ - 15}{4} [/tex]

Answer:

[tex] \frac{ - 15}{4} [/tex]

HURRY HELP PLS‼️‼️‼️

10. Use the projectile motion formula and solve the quadratic equation.
Melissa drops a tennis ball from the roof of a building that is 256 feet
high. How long does it take the tennis ball to hit the ground?
Original content Copyright by Houghton Mifflin Harcourt. Additions and changes to the original content are the resp

Answers

Answer:

Step-by-step explanation:

To solve this problem you need the function

 

h(t) = -16t2 + v0t + h0

where t = time

v0 is the initial velocity, which in our case is 0

h0 = initial height, which in our case is 256

h(t) = 0 since we want to know when the ball will hit the ground.

 

0 = -16 t2 + 256

 

And we can solve for t

 

If we rearrange the terms we see that this is a difference of 2 squares

0 = 256 - 16t2

 

0 = (16-4t)(16+4t)

Setting each factor = 0

16-4t=0       16+4t=4

t = 4             t = -4

 

The second solution is discarded as time cannot be negative.

 

So the ball will hit the ground in 4 seconds.

Help!!! Whats x ive been struggling

Answers

Answer:

x = 2

Step-by-step explanation:

GIVEN :-

KJ = 3 unitsQR = 12 unitsJL = x unitsQS = x + 6 units

TO FIND :-

The value of x

SOLUTION :-

To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-

[tex]\frac{KJ}{JL} = \frac{QR}{QS}[/tex]

[tex]=> \frac{3}{x} = \frac{12}{x + 6}[/tex]

Cross multiply the denominators.

[tex]=> 3(x + 6) = 12 \times x[/tex]

[tex]=> 3x + 18 = 12x[/tex]

Substract both the sides from 3.

[tex]=> 12x - 3x = 3x + 18 - 3x[/tex]

[tex]=> 9x = 18[/tex]

Divide both the sides by 9

[tex]=> \frac{9x}{9} = \frac{18}{9}[/tex]

[tex]=> x = 2[/tex]

ok y’all i need to know something.
today is the last day of school and my grades are all a’s and b’s but i have a few projects i didn’t do. will i still pass the school year?

Answers

Yes it won’t drop your grade too much and you’ll pass <3

Answer:

you will still pass

Step-by-step explanation:

your grades might drop a little

Harry solved a quadratic equation. His work is shown below.
In which step did Harry make an error?
(x - 5)² + 6 = 42
(x - 5)^2 = 36 Step 1
x- 5 = 6 step 2
x = 11 Step 3
Choose 1 answer:
Step 1
Step 2
Step 3

Answers

Answer:

x = 11 or x = -1

Step-by-step explanation:

(x-5)^2 = 36

(x-5) = 6 or (x-5)= -6

then x = 11 or x = -1

Answer:

Step 2

Step-by-step explanation:

The city is planting new trees in its downtown to make the streets more comfortable for visitors.They are planting each tree 12 feet apart.How many trees can they plant on 2 miles of streets? 5280 feet = 1 mile.

Answers

880 trees 5280•2/12=880

HELP PLS MATH !!!!!!!!!!!!!!

Answers

fraction form : 8/25

decimal form : 0.32

Answer:

8/25 or if you have to do decimal form it's 0.32

Step-by-step explanation:


A Mall has 21 shops: 9 are pens, 7 are shoes, and 5 are watch shops. What
is the probability that we will go shopping in pens or shoes shop?

Answers

Answer:

16/21

Step-by-step explanation:

9+7 / 21

16/21

Answer:

16/21

Step-by-step explanation:

The demoninator is 21

There are 9 pens and 7 shoes.

9+7=16

16/21

You can not simplify 16/21, so that is your final answer.

2,668 ÷ 53 (Im putting this because it has to be 20 characters or more)

Answers

Answer:

50.33962264

Step-by-step explanation:

brainlest pls

Answer:

the answer is 50.33

Step-by-step explanation:

someone check out my recent question

Rectangle A and Rectangle B are similar. Rectangle A has side lengths of 12 and 15. Rectangle B has a side length of 60. What are the possible values for the length of the other side of Rectangle B? Select all that apply.
24

30

48

75

Answers

24 nsbshananwbajabaga

Answer:

75

Step-by-step explanation:

since rectangle A with 12 moves to 60 meaning it was multiply by 5 so therefore we multiply the 15 by 5 giving 75

The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the nearest inch. Enter your answer in the box.

Answers

hyp^2 = 8^2 + 9^2
hyp^2 = 64 + 81
hyp^2 = 145
hot = 12 inch

The length of the hypotenuse in a right triangle is 12 inches.

What is the Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.

Let the length of the hypotenuse be x.

Here, x²=8²+9²

x²=64+81

x²=145

x=√145

x=12.04

x≈12 inches

Therefore, the length of the hypotenuse is 12 inches.

To learn more about the Pythagoras theorem visit:

brainly.com/question/21926466.

#SPJ6

what is 2 1/2 - 1 4/5 ? please help​

Answers

Answer:

7/10

Step-by-step explanation:

1. Simplify - 1 3/2 - 1 4/5

2. Subtract the whole numbers to make it easier - 1-1 = 0

3. Combine fractions - 3/2 - 4/5 = 7/10

4. 0 + 7/10 = 7/10

So, the final answer is 7/10.

Hope this helps! :)

Also you should use Symbolab, it's really helpful

This equation is equal to 7/10 or 0.7

help fr now i am in danger x_x

Answers

Answer:

B, it's a reflection over the y-axis

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It's B because all your doing is flipping the image over the y-axis

Please please help please

Answers

The answer is 25.6 per gallon

Without graphing, determine whether the system of linear equations has one solution, infinitely many solutions, or no solution. Explain your reasoning.

[tex]y=15x+1[/tex]
[tex]y=15x+2[/tex]

Answers

[tex]\huge{ \mathcal{  \underline{ Answer} \:  \:  ✓ }}[/tex]

First equation :

[tex]y = 15x + 1[/tex]

[tex]y - 15x - 1 = 0[/tex]

Second equation :

[tex]y = 15x + 2[/tex]

[tex]y - 15x - 2 = 0[/tex]

Now, the equations are in the form of

[tex]a_1x {}^{2} + b_1x + c_1 = 0[/tex]

[tex]a_2x {}^{2} + b_2x + c_2 = 0[/tex]

where,

[tex] \dfrac{a_1}{a_2} = \dfrac{b_1}{b_2} \neq \dfrac{c_1}{c_2} [/tex]

therefore the equations would have no solution .

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

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