What is an equation of the line that passes through the points (6, -6) and (-6, -8)

Answer:

3.9125 × 10⁵² people

Step-by-step explanation:

A rumor starts with 3 people and the number of people who heard it doubles each day.

How many people would have heard the rumor after 20 days?

To calculate exponential growth, we use the formula:

[tex]y (t) = ae^{kt}[/tex]

where;

a = value at the start =3

k = growth rate = 2×3 = 6

t = time = 20 days

y(t) = value of the population at the given time (t) =??

[tex]y(t) = 3 \times e^{6\times 20}[/tex]

y(t) = 3.9125 × 10⁵² people

Answer:

Step-by-step explanation:

using N as the center and the same radius as before, draw an arc that intersects NO .Label the arc PQ where Q intersects NO.

Congruent angles have the same measure.

The next step is (b) Using N as the center and the same radius as before, draw an arc that intersects NO. Label the arc PQ where Q intersects NO.

The attached image implies that you have already constructed a straight line NO.

The next step is to construct an arc that intersects line NO

To do this, we make use of the following steps

Hence, the next step is (b)

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Answer:

ok 16.5$

Step-by-step explanation:

Answer:

$8.53

Step-by-step explanation:

because after 2 years she would have $148.53.

I believe the answer is $4.20

Answer:

(n - 2)(5n + 6)

Step-by-step explanation:

Given

5n² - 4n - 12

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 5 × - 12 = - 60 and sum = - 4

The factors are - 10 and + 6

Use these factors to split the n- term

5n² - 10n + 6n - 12 ( factor the first/second and third/fourth terms )

= 5n(n - 2) + 6(n - 2) ← factor out (n - 2) from each term

= (n - 2)(5n + 6) ← in factored form

Answer:

x axis and y axis each end

Step-by-step explanation:

Answer:

b.332.2

Step-by-step explanation:

Answer:

$24.06

Step-by-step explanation:

20%(120.30) = 0.2*120.3 = $24.06

Answer:

Its D my friend

Step-by-step explanation:

Answer:

(D) yes, because (StartFraction b Over a + c EndFraction)(a + c) = b

Step-by-step explanation:

Triangle A B C with centroid G is shown on an x and y-axis. Lines are drawn from each point through the centroid to the opposite side to form line segments A F, B D, and C E. Point A is at (0, 0), point D is at (c, 0), point C is at (2 c, 0), point B is at (2 a, 2 b), point F is at (a + c, b),and point E is at (a, b).The equation of line Line A Gis y = (StartFraction b Over a + c EndFraction)x. The midpoint of BC is (a + c, b). Does the midpoint of BC lie on Line A G? Why or why not?

(A) no, because (StartFraction b Over a + c EndFraction)b does not equal a + c

(B) no, because (StartFraction b Over a + c EndFraction)(a + c) does not equal b

(C) yes, because (StartFraction b Over a + c EndFraction)b = a + c

(D) yes, because (StartFraction b Over a + c EndFraction)(a + c) = b

Answer:

The length of side of largest square is 15 inches

Step-by-step explanation:

The given suares are when joined in the way as shown in picture their sides form a right agnled triangle.

Area of square 1 and perimeter of square 2 will be used to calculate the sides of the triangle.

So,

Area of square 1: 81 square inches

[tex]s^2 = A\\s^2 = 81\\\sqrt{s^2} = \sqrt{81}\\s = 9[/tex]

Perimeter of square 2: 48 inches

[tex]4*side = P\\4* side = 48\\side = \frac{48}{4}\\side = 12\ inches[/tex]

We can see that a right angled triangle is formed.

Here

Base = 12 inches

Perpendicular = 9 inches

And the side of largest square will be hypotenuse.

Pythagoras theorem can be used to find the length.

[tex](H)^2 = (P)^2+(B)^2\\H^2 = (9)^2+(12)^2\\H^2 = 81+144\\H^2 = 225\\\sqrt{H^2} = \sqrt{225}\\H = 15[/tex]

Hence,

The length of side of largest square is 15 inches

Answer:

D I did the test on Ed.......................................

Answer:

50% duhh

Step-by-step explanation:

25% is also a equation

Answer:

A

Step-by-step explanation:

A is n= n2 -1 so thats the answer

Proportional and linear functions are almost identical in form. The only difference is the addition of the “b” constant to the linear function. Indeed, a proportional relationship is just a linear relationship where b = 0, or to put it another way, where the line passes through the origin

Answer:

A). 101 inches

B). 110 years

Step-by-step explanation:

Years since planting           Circumference          Difference

             1                                        3                               -

             2                                       5                        (5 - 3) = 2

             3                                       7                         (7 - 5) = 2

             4                                       9                        (9 - 7) = 2

             5                                       11                        (11 - 9) = 2

             6                                       13                       (13 - 11) = 2

There is a difference of 2 in every successive term of the circumference.

Therefore, the given sequence is an arithmetic sequence.

Explicit formula of an arithmetic sequence is given by,

[tex]A_n=a+(n-1)d[/tex]

Here a = first term

n = number of terms

d = common difference

From the given table,

[tex]A_n=3+(n-1)2[/tex]

[tex]A_n=2n+1[/tex]

Here [tex]A_n[/tex] = circumference after 'n' years

n = Age of the plant

By this formula,

Circumference of a tree after 50 years,

[tex]A_{50}=2(50)+1[/tex]

      = 101 inches

Age of tree with the circumference = 221 inches,

221 = 2n + 1

2n = 220

n = 110 years

Answer:

y = 2x + 21

Explanation:

The slope is 2 so it would go for mx

The y-inter. for the graph is 21

your equation is y = 2x + 21

Answer:

Add 7 to the first value, 4 to the second, then flip the signs.

Step-by-step explanation:

Well we kind of need the current coordinates but I'll help to the extent I can!

In an ordered pair the first value is the (x) and the second is the (y) .

(x, y)

(x) is always the horizontal line (left & right).

(y) is always the vertical line (up & down).

So if you translate 7 units to the right, you'd add 7 to the (x) [First value in the ordered pair].

If you translate 4 units up, you'd add 4 to the (y) [Second value in ordered pair].

Now, rotating about the origin only changes whether the number is positive or negative.

If you rotate 180° it will just flip both of the values signs.

So if it was positive it becomes negative, if it was negative it becomes positive

Since I don't have the ordered pair I can't give you an answer but I can tell you what to do to get the answer.

Assuming it's a shape, for each point on the shape you will take it's coordinates, add 7 to the (x) and 4 to the (y), then flip the value sign.

Ex: If the starting coordinate was (-6, -3) we would add 7 to the (x), 4 to the (y) and get (-2, 4), flip the signs and end up with (2, -4).

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:  B

Step-by-step explanation:

Answer:

g(-4) = 18.

Step-by-step explanation:

Find  g(-4):  we replace the x in g(x)  by -4:

g(-4) = (-4)^2 + 2

= 16 + 2

= 18.

Answer:

16 years, 13 years

Step-by-step explanation:

Let their ages be x, 29-x

Equation formed:-

(x - 7) + 4 = 29 - x

→ 2x = 29 + 3

→ x = 16 years

Answer: 16 years, 13 years

Answer:

They have the same slope and y intercept after combining like terms, they are the same line and have infinetely many solutions.

Step-by-step explanation:

If you combine like terms it would give you 36x + 18 = 36x +18,

nThat's infinetely many solutions since they have the same slope and y-intercepts, therefore they are the same line.

The equation has infinitely many solutions. That means equation is true for all values of x.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

We have equation;

12x + 6(4x + 3) =2(6x + 4) – 2

And Elena solved,

12x + 24x + 18 = 36x + 24 - 6

Now, we will solve further,

36x + 18 = 36x + 18

That means equations are equivalent.

And there are two equations and one unknown.

So equation has infinitely many solutions.

Therefore, the equation has infinitely many solutions. That means equation is true for all values of x.

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Answer:

g(-3)=9

Step-by-step explanation:

Replace all of the (x) with -3

So the new equation

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

Now simplify

g(-3)= 6+3

Simplify further

g(-3)= 9

Hope this helps!

The value of x for the function g(x)=-2x+3 is 3.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The set of values that could be a function's outputs is known as the co-domain.

Given:

g(x)=-2x+3

Now, for g(x) = -3 we have

-2x+ 3 = -3

Now, Subtract 3 from both side

-2x + 3 - 3 = -3 -3

-2x = -6

Divide both side by (-2) we get

-2x / (-2) = -6 / (-2)

x = 3

Hence, the value of x is 3.

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Answer:

still need it??

Step-by-step explanation:

Answer:

since a triangle measures up to 180 degrees getting the value of x will be all angles added together equals to 180.

(base angles) + x = 180°

46° + x = 180°

this is what I think good luck

The measure of third angle of this isosceles triangle is 134 degrees.

According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.

S = (n-2)*180° is the angle sum property formula for any polygon, where 'n' represents the number of sides in the polygon.

Given:

Two Base angles is 23 degree.

and third angle is x.

Using Angle Sum property

x + 23+ 23 =180

x +46 =180

x= 180- 46

x= 134

Hence, the third angle is 134 degree.

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Answer:

The answer is B.

Step-by-step explanation:

First, you have to convert division into multiplication and cross out the common term :

[tex] \frac{3x - 6}{ {x}^{3} } \div \frac{x - 2}{2x - 1} [/tex]

[tex] \frac{3(x - 2)}{ {x}^{3} } \times \frac{2x - 1}{x - 2} [/tex]

[tex] \frac{3}{ {x}^{3} } \times (2x - 1)[/tex]

[tex] \frac{3(2x - 1)}{ {x}^{3} } [/tex]

[tex] \frac{6x - 3}{ {x}^{3} } [/tex]

The quotient of the rational expressions is [tex]\frac{6x - 3}{x^2}[/tex]

[tex]= \frac{3x - 6}{x^3}\div \frac{x-2}{2x - 1} \\\\= \frac{3(x - 2)}{x^3} \times \frac{2x-1}{x-2}\\\\ = \frac{3}{x^3} \times (2x - 1)\\\\= \frac{3(2x - 1)}{x^2}\\\\ = \frac{6x - 3}{x^2}[/tex]

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-3ax3+48cx2+35b

Step-by-step explanation:

hope this helps