Point B has coordinates ​(4,1​). The​ x-coordinate of point A is -8. The distance between point A and point B is 13 units. What are the possible coordinates of point​ A?

Answers

Answer 1

Answer:

The possible coordinates of point A are (-8,-4) or (-8,6)

Step-by-step explanation:

The distance between two points is given by the formula

[tex]d = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

For point A [tex](x_{1} , y_{1})[/tex]; [tex]x_{1}= -8[/tex] and [tex]y_{1}[/tex] is unknown

For point B [tex](x_{2} , y_{2})[/tex]; (4,1) i.e [tex]x_{2}=4[/tex] and [tex]y_{2}=1[/tex]

and d = 13

Putting the values into the equation,

[tex]13= \sqrt{[(4-(-8)]^{2} + (1-y_{1})^{2} }\\13= \sqrt{[(4+8)]^{2} + (1-y_{1})^{2} }\\13= \sqrt{12^{2} + (1-y_{1})^{2} }\\13^{2} = 12^{2} + (1-y_{1})^{2} \\169 = 144 +(1-y_{1})^{2}\\169-144 = (1-y_{1})^{2}\\25 = 1 -2y_{1} +y_{1}^{2} \\y_{1}^{2} -2y_{1}+1-25 =0\\y_{1}^{2} -2y_{1}-24 =0\\y_{1}^{2} -6y_{1} + 4y_{1} -24 =0 \\y_{1}(y_{1}-6) +4(y_{1} -6) = 0\\(y_{1}+4)(y_{1}-6) =0\\(y_{1}+4)=0 or (y_{1}-6) =0[/tex]

[tex]y_{1}+4= 0[/tex] or [tex]y_{1}-6 =0[/tex]

[tex]y_{1} =-4[/tex] or [tex]y_{1} = 6[/tex]

Hence, the possible coordinates of point A are (-8,-4) or (-8,6)


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(awarding brainliest) i’m not that smart pls help.

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Answer:

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Isn't the answer D? I will appreciate it if someone helps :)

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i think it is:) sorry if it is not

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I think it's correct, I agree :)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation

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Step-by-step explanation:

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Answers

Answer:

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Answers

the answer should be 100, the tables just keep going til 100

There are 10 perfect squares between 1 and 100, and 10 powers with an exponent of 2 between 1 and 100.

What is Number system?

A number system is defined as a system of writing to express numbers.

Between 1 and 100, the perfect squares (numbers that can be expressed as the square of an integer) have exponents of 2.

We need to count the number of perfect squares between 1 and 100. These include:

1² = 1

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4² = 16

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So, there are 10 perfect squares between 1 and 100, and therefore 10 powers with an exponent of 2 between 1 and 100.

To learn more on Number system click:

https://brainly.com/question/22046046

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Answer:

8 plates per stack

Step-by-step explanation:

Answer:

8 plates per stack

Step-by-step explanation:

if wrong I am so sorry

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Answer:

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Step-by-step explanation:

Answer:

(0, 4)

because (x, y) and x = 0 on this one

Step-by-step explanation:

15 Brainly Points:

The Scenario:
The Powerball Lottery jackpot reaches 1.5 billion dollars, and Jeffrey decides to spend some money each week on lottery tickets. He puts some money in a new bank account and withdrawals the same amount once a week to try his luck at winning the jackpot. After three straight weeks of no luck, Jeffrey has $205 left in his account. After twelve total weeks, he still hasn’t won a thing and has $160 left to spend.
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a) Write an equation that models how much money is in Jeffrey’s account at any given week. Show all work in the space below. You can type your work, or insert a picture of hand-written work.
b) Write an equation that models how much money is in Karen’s account at any given week. Show all work in the space below. You can type your work, or insert a picture of hand-written work
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I think it is c if not d

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I am working on this subject too. I'm gonna get a calculator and help you. The answer is actually 14

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Answers

ANSWER:
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Answers

Answer:

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Step-by-step explanation:

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=11°

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Answers

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Step-by-step explanation:

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5x+4

Step-by-step explanation:

(7x+1)-(2x-3)

Remove parentheses

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Step-by-step explanation:

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Answers

Answer:

$64.3

Step-by-step explanation:

Given the following

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Answers

Answer:

6:7

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Step-by-step explanation:

The beginner ratio is 6:7 to find new equal ratios we just multiply both numbers by a number. In those, each of them is multiplied by two. You can multiply it by any number as long as you keep the 6's answer in the 6's spot and same for 7 & that you multiply both sides and not just one.

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Answers

The volume of this container is 128 in.

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Answers

Answer:

the height is 2.5 cm

Step-by-step explanation:

The computation of the height of the triangular section is shown below:

As we know that

Volume = One-half × base × height

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So, the height is 2.5 cm

Answer:

Height = 2.5cm

Step-by-step explanation:

Volume = Base(b) x Height(h) x Length(l) / 2

Substitute the information that you have into the equation

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Answer:

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Answers

Answer:

Identity property

Step-by-step explanation:

Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.

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Answers

Answer:

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Step-by-step explanation:

If you like to round 2.5 to the nearest cent, rendering the amount with only two numbers after the decimal point, then you have come to the right post.

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