I need help with the number 4 help needed ASAP will give BRAINLIEST

The equation that represents the set of points that are 8 units from (-8,-7) is  [tex]x_{1} ^{2}[/tex] + 16[tex]x_{1}[/tex] + [tex]y_{1} ^{2}[/tex] + 14[tex]y_{1}[/tex] + 49 = 0.

What is the distance between two points ?

Distance between two points is the length of the line segment that connects the two locations in a plane.

We know that the distance between two points is calculated by using the distance formula which is given as :

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

Here ; let's assume the first point is (x1, y1). It is given that other point is (x2, y2) = (-8 , -7) and distance D = 8 units. Now use these data to find out the equation :

8  = [tex]\sqrt{(-8 - x_{1})^{2} + (-7- y_{1})^{2} }[/tex]

Squaring on both sides , we get :

64 = [tex](-8 - x_{1} ) ^{2}[/tex] + [tex](-7 - y_{1})^{2} }[/tex]

64 = 64 + [tex]x_{1} ^{2}[/tex] + 16[tex]x_{1}[/tex] + 49 + [tex]y_{1} ^{2}[/tex] + 14[tex]y_{1}[/tex]

[tex]x_{1} ^{2}[/tex] + 16[tex]x_{1}[/tex] + [tex]y_{1} ^{2}[/tex] + 14[tex]y_{1}[/tex] = 64 - 64 - 49

[tex]x_{1} ^{2}[/tex] + 16[tex]x_{1}[/tex] + [tex]y_{1} ^{2}[/tex] + 14[tex]y_{1}[/tex] = -49

or

[tex]x_{1} ^{2}[/tex] + 16[tex]x_{1}[/tex] + [tex]y_{1} ^{2}[/tex] + 14[tex]y_{1}[/tex] + 49 = 0

Therefore , the equation that represents the set of points that are 8 units from (-8,-7) is  [tex]x_{1} ^{2}[/tex] + 16[tex]x_{1}[/tex] + [tex]y_{1} ^{2}[/tex] + 14[tex]y_{1}[/tex] + 49 = 0.

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Answer:

.23  each

Step-by-step explanation:

I divided them

12 divided by 2.76 is .23

(I tried to add my step by step by there isn't a way to do it)

Answer:

Yup, B is the correct answer

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

B

Step-by-step explanation:

I Just Took the Test.

Answer:

10y-50

Step-by-step explanation:

5(8y+2y-10-8y)

+8y and -8y got cancelled with each other.

5(2y-10)

10y-50

Answer:

Step-by-step explanation:

Times everything by 5 since it is outside the () which would make your equation turn into

40y+10y-50-40y

Then, you would combined like terms so you equation would be

10y-50

And that would be your answer.

Answer:

14

Step-by-step explanation:

All sides of the square are equal

~ Hope this was able to help you (:

Answer:

When effective length (L) is constant, the time period (T) of oscillation of a simple pendulum is inversely proportional to the square root of the acceleration due to gravity (g) at a place of observation. So, T∝√1g when L is constant.

Step-by-step explanation:

Answer: -3

Step-by-step explanation: 15 - 18 = -3

Answer:

Eli's garden is 10 square meters large.

Step-by-step explanation:

Area is another way to describe the size of somthing. To get the area of rectangle, simply multiply width by length, in this case: 5x2=10.

The area of Eli's garden is 10 square meters.

(stolen)

The most common form of explicit proof in highschool geometry is a two column proof consists of five parts: the given, the proposition, the statement column, the reason column, and the diagram (if one is given).

Answer:

Proofs contain given information and a statement to be proven. You use deductive reasoning to create an argument with justification of steps using theorems, postulates, and definitions. Then you arrive at a conclusion.

Step-by-step explanation:

EDGE 2020

Answer:

  ∠ULE = 60°

Step-by-step explanation:

The exterior angle marked 109° is the sum of the remote interior angles marked 49° and x.

  109° = 49° + ∠ULE

  ∠ULE = 109° -49°

  ∠ULE = 60°

Answer:

f in the chat

Step-by-step explanation:

Answer:

[tex]m=-2[/tex]

Step-by-step explanation:

[tex]3=m+5[/tex]

Switch sides:

[tex]m+5=3[/tex]

Subtract 5 from both sides:

[tex]m+5-5=3-5[/tex]

[tex]m=-2[/tex]

Answer:

-2

Step-by-step explanation:

1. Add the same term to both sides of the equation

3=m+5

( 3-5 = m + 5 -5)

2. Simplify

-subtract the numbers

- add the numbers

3. Solution

-2 = m

Answer:

poop

Step-by-step explanation:

Answer:

distribute -8 into the parentheses so that would give you

6-80r+32

then you add the numbers not the one with the varible and that gives you

38-80r

Your answer is

38 - 80r

Answer:

rational

Step-by-step explanation:

Answer:

m = -11/7

n = -8/7

Step-by-step explanation:

Here, what we want to calculate is the coordinates of the point B

Let’s consider the straight line as A B C

we can see that actually, the point B divides the line into the ratio 2:5 since AB:AC is 2:5

Thus, by using the internal division formula (section formula) with the ratio of division, we can get the coordinates of point B

Mathematically, the formula for internal division is given as follows;

B = ( (mx2 + nx1) /m + n , (my2 + ny1)/( m + n))

From the question;

m:n = 2:5

Thus m = 2, n = 5

(x1,y1) are coordinates of A

x1 = -3 , y1 = -4

(x2, y2) are coordinates of C

x2 = 2 , y2 = 6

Thus, substituting these values into the equation we have;

B ={ 2(2) + 5(-3)}/(2+5) , {2(6) + 5(-4)}/(2+5)

B = (-11/7, -8/7)

Answer:

c

Step-by-step explanation:

That is the correct answer

that is correct

Answer:

Each shirt would cost 10.89$

Step-by-step explanation:

By subtracting 6.44 from the total (50), we get 43.56. Divide that by 4 and you get the answer, 10.89$

Answer:5/2 times 1/3

Step-by-step explanation:

were goated if you asner

Answer:

x=-5/9

Step-by-step explanation:

Answer:

20 over 9 or 2.2222222222

Answer:

-x - 8

Step-by-step explanation:

Simplify each term.

   Apply the distributive property.

    5x - 2(3x) - 2 ⋅ 4

    Multiply 3 by -2

    5x - 6x - 2 ⋅ 4

     Multiply -2 by 4

     5x - 6x - 8

Subtract 6x from 5x

 -x - 8

Answer:

No

Step-by-step explanation:

It does not pass the vertical line test

I hope this helps you :)

-KeairaDickson

Answer:

42 tubes of toothpaste.

Answer:

91 degrees

Step-by-step explanation:

If m<ABD = 59 and m<DBC is 32, you can simply add these two numbers because they're just two sides of the same angle. So, 59+32=91.

Area of a rectangle = Width * Length

In our problem,

width = 2n^3

length = 7n^2 + 3n

Area = 2n^3 (7n^2 + 3n)

Distribute the 2n^3

Area = 14n^5 + 6n^4

The required, area of the given rectangle is given as 14n⁵ + 6n⁴.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

The area of a rectangle is the product of the length and width of the rectangle.

Here,
In the question, we are given,
length = 7n² + 3n
width = 2n³

Area of the rectangle = length × width
Area of the rectangle = 7n² + 3n × 2n³
Area of the rectangle = 14n⁵ + 6n⁴

The required, area of the given rectangle is given as 14n⁵ + 6n⁴.

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Answer:

20

Step-by-step explanation:

The pythagorean theorem states that

[tex]a^2+b^2=c^2[/tex]

So [tex]16^2 + 12^2 = c^2\\256+144 = c^2\\400 = c^2[/tex]

You would then do

[tex]400 = c^2\\\sqrt{400} = c[/tex]

Because a square root is the opposite of a square.

[tex]\sqrt{400} = 20[/tex]

because 20 * 20 = 400

Answer:

[tex] \frac{ \sqrt{2} }{2} \\ [/tex]

Step-by-step explanation:

[tex] \frac{ \sqrt{3} }{ \sqrt{6} } \\ \frac{ \sqrt{3} }{ \sqrt{6} } \times \frac{ \sqrt{6} }{ \sqrt{6} } \\ \frac{ \sqrt{3 \times 6} }{ \sqrt{ {6}^{2} } } \\ \frac{ \sqrt{18} }{6} \\ \frac{ \sqrt{2 \times 9} }{6} \\ \frac{3 \sqrt{2} }{6} \\ \frac{ \sqrt{2} }{2} [/tex]

Answer:

⇛√2/2.

Step-by-step explanation:

Given that,

√3/√6

The denominator is √6

We know that

The rationalising factor of √a is √a

Therefore, the rationalising factor of √6 is '√6’.

Now,

⇛(√3/6) × (√6/√6)

⇛{√3(√6)}/(√6)(√6)

⇛(√3*6)/(√6)²

⇛(√18)/(6)

⇛(√2*9)/6

⇛(2√2)/6

⇛√2/2

Hence, the denominator is rationalised.

Answer:

Step-by-step explanation:

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