Point B has coordinates ​(2​,1​). The​ x-coordinate of point A is -10. The distance between point A and point B is 15 units. What are the possible coordinates of point​ A?

Answers

Answer 1

Answer:

(-10, 10) or (-10, -10)

Step-by-step explanation:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

[tex]15 = \sqrt{(-10 - 1)^2 + (y_2 -2 )^2}[/tex]

[tex]15 = \sqrt{121 + 2y + y^2 + 4}[/tex]

[tex](15)^{2} =( \sqrt{121 + 2y + y^2 + 4})^{2}[/tex]

[tex]225 = 121 + 2y + y^2 + 4[/tex]

[tex]225 = 125 + 2y + y^2[/tex]

[tex]0 = -100 + 2y + y^2[/tex]

[tex]0 = (y + 10)(y - 10)[/tex]


Related Questions

Simplify.
(2 x 108) + (4 * 103)
Give the answer in scientific notation

Answers

Answer:

628

Step-by-step explanation:

216+412 = 628

First you get rid of the brackets by solving what's in them. Then you just add up the numbers and BOOM. The equation is solved. :-)

1 point
If 20 is added to the data set below, which statement will be true? 50, 55,
55, 60, 62*

Answers

Answer:

20 will be the median

Step-by-step explanation:

Mod 12 Exam
Determine whether or not the triangle with the given side lengths is a right triangle.
51 feet, 14 feet, 49 feet
Don't forget to explain your reasonings


Answers

the answer is 16 reasoning is the dimensions add up an submit

The probability of randomly selecting two oranges from a bowl of 5 oranges and 4 tangerines if the first selection is replaced

Answers

Answer:

25/81

Step-by-step explanation:

The probability of randomly selecting two oranges = (number of oranges in the bowl / total number of fruits in the bowl) x (number of oranges in the bowl / total number of fruits in the bowl)

total number of fruits in the bowl = 5 + 4 = 9

5/9 x 5/9 = 25/81

given that f(x) = 3x + 5, find f(x+2)

Answers

f(x+2) = 3(x+2) + 5
= 3x + 6 + 5
= 3x + 11

Answer:

f(x)=3(x)+5

f(x+2)=3(x+2)+5

=3x+6+5

=3x+11

(Daily math question for points!!) A circle has a circumference of 50.26cm
To the nearest centimeter, what is the diameter of the circle?

Answers

Answer:

7.99912744cm

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

Circumference is 50.26 = pi*d d = 50.26/3.14 = 16

A cylinder with the height of 6km has a volume of 384km3 what is the radius?

Answers

Answer:

r = 8

Step-by-step explanation:

V = π r^2 h so 383 = r^2 (6)

383 / 6 = r^2

64 = r^2 so

r = 8

The manager of The Counter noticed that the birthday club members all brought along a family member who spent an average of $22.00 in the restaurant. The tax on their bill was 9 percent. How much did the family member pay in total? (Hint: bill total + tax)

Answers

Answer:

Total amount pay by family member = $23.98

Step-by-step explanation:

Given:

Average amount spent on food = $22

Tax rate on restaurant food = 9%

Find:

Total amount pay by family member

Computation:

Amount of tax pay by family member = Average amount spent on food x Tax rate on restaurant food

Amount of tax pay by family member = 22 x 9%

Amount of tax pay by family member = 22 x 0.09

Amount of tax pay by family member = $1.98

Total amount pay by family member = Average amount spent on food + Amount of tax pay by family member

Total amount pay by family member = 22 + 1.98

Total amount pay by family member = $23.98

What is the exact volume of the cone?


A 80π ft³


B 4003π ft³


C 400π ft³


D 418710π ft³

Answers

The correct answer is letter D

Answer:

Step-by-step explanation:

volume of cone = πr²h/3 = π×5²×16 = 400π ft³

Solve for the?
Pls actually help

Answers

8172737484949271726262

When filled, a balloon in the shape of a sphere has a diameter of 14 inches. What is the approximate volume of air, in cubic inches, needed to fill this balloon?

1,078
1,437
8,621
11,494 ​

Answers

Answer:

1,437

Step-by-step explanation:

Answer:

a I'm not as smart so trust me

Step-by-step explanation:

how would I word that it is being doubled in size?

The question is how did D get to E. ​

Answers

Answer:

It doubled up is what you could say

(4x3+2x+6)+(2x3−x2+2

Answers

Answer:

Simplify the expression.

4x^3+x^2+10

Step-by-step explanation:

can somebody help with this??????

Answers

Answer:

6

Step-by-step explanation:

The equation can be made more clear by changing the form.

g(h(0)) = ?

All we have to do is find the y values for an x value of 0

h(x) = x^2 - 3

h(0) = 0^2 - 3

h(0) = -3

So now we plug in -3 for g(x)

g(x) = -2x

g(-3) = -2(-3)

g(-3) = 6

what expression is equivalent to -5(x)+(-4)(-3)

Answers

Answer:-25+-12

Step-by-step explanation:so I made x value as 5 so I multiplied -5x5 and it's -25 then I multiplied -4x-7 and that's -12 so the equivalent expression for my way is -25+-12

GIVING 11 POINTS AWAY PLEASE HELP ME ASAP!!!! PLEASE DONT GUESS CAUSE THIS IS A TEST QUESTION

Answers

Answer: it’s B I’m positive

Step-by-step explanation:

I believe your answer is answer number 2 (90.75)

Mhanifa can you please help me? This is due ASAP! Look at the picture attached. I will mark brainliest

Answers

Answer:

1.

y=40

x=14

2.

a=10

b=37

3.

u=62

v=59

4.

s=9

t=14

hope this helps.

Answer:

Properties of a parallelogram

Opposite sides and opposite angles are congruentAdjacent angles are supplementary (sum to 180°)Diagonals bisect each other

#1

17 = x + 3 ⇒ x = 17 - 3 ⇒ x = 14y - 2 = 38 ⇒ y = 38 + 2 ⇒ y = 40

#2

a + 5 = 15 ⇒ a = 15 - 5 ⇒ a = 103b = 111° ⇒ b = 111°/3 ⇒ b = 37°

#3

2u = 124° ⇒ u = 124°/2 ⇒ u = 62°124° + v - 3 = 180° ⇒ v + 121° = 180 ⇒ v = 180° - 121° ⇒ v = 59°

#4

t + 5 = 19 ⇒ t = 19 - 5 ⇒ t = 143s = 27 ⇒ s = 27/3 ⇒ s = 9

19 is greater than the sum the number n and 3

Answers

your answer should be 19>n+3

Alfonso plans to create an ice sculpture out of a 8-cubic foot ice cube. What is the surface area of the cube?

Answers

Answer:

Surface area of cube = 24 ft²

Step-by-step explanation:

Given:

Volume of cube = 8 ft³

Find:

Surface area of cube

Computation:

Volume of cube = Side³

Side³ = 8 ft³

Side³ = (2 ft)³

Side = 2 ft

Surface area of cube = 6a²

Surface area of cube = 6(2)²

Surface area of cube = 6(4)

Surface area of cube = 24 ft²

What’s the answer????

Answers

the answer is b. subtract 3 from both sides
I’m agree with the answer above me.

help me i give brainliest.

Answers

310 >_ (greater than or equal to) 35x + 9
- 9 -9
301 >_ 35x
/35 /35
8.6 >_ x
Since 8.6 is not a whole number, the answer for the second part is
X<_(less than or equal to) 8

which of the following inequality has (5,1) as a solution? a.)3x+y≤3 b.)3x-y≤3 c.)3x-y<15 d.)3x+y<15​

Answers

Answer:

i think its A :)

Step-by-step explanation:

A store increases the price of a shirt by 10%, then reduces the cost by $10. The
price is then 90% of the original price. Find the original price.

Answers

Answer:

111

Step-by-step explanation:

NP = (S x 1.10) - 10

OP = NP / .9

The area of a rectangle is 560 square inches. The length is 3 more twice the width. Find the length and width.

Answers

Answer:

l = 35 inches and b = 16 inches

Step-by-step explanation:

Let length be b and width be b.

The area of a rectangle is 560 square inches.

Length is 3 more twice the width.

l = 2b+3 ....(1)

We know that,

Area = length × width

560 = (2b+3)b

[tex]2b^2+3b-560=0\\\\b=16,-17.5[/tex]

Put b = 16 in equation (1).

l = 2(16)+3

= 35 inches

So, the length is 35 inches and the width is 16 inches.

help please I really ned it

Answers

Answer:

sqdfnm swfqwef

Step-by-step explanation:

wqfjqwebnkjf qwebf

Please put the explanation!

Answers

Answer:

60

Step-by-step explanation:

In order to get this answer, we must know that a triangle's angles add up to exactly 180. Also, Angles that intersect will have congruent, opposite sides. The last thing is that a line is = 180 degrees. So, the triangle with the 94 and the 142, you can use that. the angle next to the 142 is going to be 180-142 which is 38 and since the other angle is opposite 94, as well. when you add those up u get 132 and 180-132= 48 which is the missing angle for the far right triangle. then, you get the opposite of that angle, put that in the other triangle, do the same with the 72, and add those up to get 120 and since a triagle adds up to 180, 180-120 = 60. So, 60 is your missing angle. Cheers

LAST ONE OK BUT HELP PLZ​

Answers

Answer:

561 Inches

Step-by-step explanation:

8.5 * 5.5 * 12 = 561

Formula for Volume:

Length x Width x Hight

Justin and Austin decide to play catch after school. They start at the same point.
Justin walks 40 feet north and 10 feet west. Austin walks 30 feet south and 20 feet east. How far apart are
they? (Round to the nearest tenth).
A) 76.2 ft
B) 14.1 ft
C) 70.7 ft
D) 31.6 f

Answers

i think it’s A


a^^^^

What is the simplified value of the expression below? Help please

Answers

Answer: 5

Explanation: The square root of 100 is 10. The square root of 4 is 2.
10/2 = 5

the square of a number decreased by 15 is twice the number. find the number

further explanation please

Answers

Answer:

x = 5, -3

Step-by-step explanation:

x² - 15 = 2x

x² - 2x - 15 = 0

(x - 5)(x + 3) = 0

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