What is (5,-4) rotated 180° clockwise?

Answer:

$8,000 is the correct

Step-by-step explanation:

is right

Answer:

y =  \(\frac{-7x}{2}+\frac{41}{2}\)

Step-by-step explanation:

We are given the point (3, 10).

The second point is 2 on the x-axis and -7 on the y-axis. So our second point is: (3 + 2, 10 - 7) which is (5, 3).

Our formula for slope is m = \(\frac{rise}{run}\) = \(\frac{y2-y1}{x2-x1}\)

So, our equation would be \(\frac{3-10}{5-3}\) = \(\frac{-7}{2}\)

Using the standard formula of a line, y = mx + b, we can substitute for the slope, m.

y = \(\frac{-7x}{2}\) + b

Now, we can substitute a point on the line to determine the y-intercept:

Using the point (3, 10),

10 = \(\frac{-7(3)}{2}\) + b

b = 10 + \(\frac{21}{2}\)

b = \(\frac{41}{2}\)

So our full equation is: y =  \(\frac{-7x}{2}+\frac{41}{2}\)

Answer:

The first option. "If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular."

Step-by-step explanation:

It is the only one that makes sense, tbh. But, it includes the proper "if-then" form like the question requests it have. It also incorporates all aspects of the original statement-

a.) lines on a coordinate plane

b.) perpendicular

c.) opposite reciprocal slopes.

You're welcome. :D

Answer:

Its A

Step-by-step explanation:

edge 2021

Answer:

The answer is 19, each whole shaded columns are tens, and the mini shaded blocks are ones, add it together and you get 19.

Step-by-step explanation:

The function describing the relationship of the given variables is a= 6r

The statement is givn as:

a varies directly with r

This means that

a= kr

Where k is the constant of variation

When r = 6 , a = 18, we have

18= 6k

Divide by 6

k = 3

Substitute k = 3 in a= kr

a= 6r

Hence, the function describing the relationship of the given variables is a= 6r

Read more about direct variation at:

https://brainly.com/question/6499629

#SPJ4

Answer:

28.3 units^2

Explanation:

The area A of the circle is given by the formula

where

π = 3.1415..

d = diameter of the circle.

Now, in our case d = 6; therefore,

Rounded to the nearest tenth this is

Answer:

Second choice.

f(x) = 1/2(x - 6)^2 + 3/2.

Step-by-step explanation:

The distance of a point  (x, y) from the focus = the distance of the point from the directrix, so:

(x - 6)^2 + (y - 2)^2 = (y - 1)^2

x^2 - 12x + 36 + y^2 - 4y + 4 = y^2 - 2y + 1

x^2 -12x + 39 = 2y

y = f(x) = 1/2 (x^2 - 12x + 39)

I see you want the answer in vertex for so it is:

f(x)  = 1/2 [ (x - 6)^2 - 36)  + 39)

f(x)  = 1/2(x - 6)^2 + 3)

f(x) = 1/2(x - 6)^2 + 3/2.

A parabola is a plane that is approximately U-shaped.

The equation of the parabola is: \(\mathbf{y = \frac{1}{2}(x - 6)^2 + \frac 32}\)

The given parameters are:

\(\mathbf{Focus = (6,2)}\)

\(\mathbf{Directrix: y = 1}\)

First, equate the directrix to 0

\(\mathbf{y - 1 = 0}\)

The equation is then calculated as:

\(\mathbf{(x - a)^2 + (y - b)^2 = (y- 1)^2}\)

Where:

\(\mathbf{(a,b) = (6,2)}\)

So, we have:

\(\mathbf{(x - 6)^2 + (y - 2)^2 = (y- 1)^2}\)

Expand

\(\mathbf{x^2 - 12x +36 + y^2 - 4y + 4 = y^2 - 2y + 1}\)

Subtract y^2 from both sides

\(\mathbf{x^2 - 12x +36 - 4y + 4 =- 2y + 1}\)

Collect like terms

\(\mathbf{x^2 - 12x +36 + 4 - 1 =4y - 2y}\)

\(\mathbf{x^2 - 12x +39 =2y}\)

Divide through by 2

\(\mathbf{y = \frac{1}{2}(x^2 - 12x +39)}\)

Express 39 as 36 + 3

\(\mathbf{y = \frac{1}{2}(x^2 - 12x +36 + 3)}\)

Factor out 3/2

\(\mathbf{y = \frac{1}{2}(x^2 - 12x +36) + \frac 32}\)

Expand the bracket

\(\mathbf{y = \frac{1}{2}(x^2 - 6x - 6x +36) + \frac 32}\)

Factorize

\(\mathbf{y = \frac{1}{2}(x(x - 6) - 6(x -6)) + \frac 32}\)

Factor out x - 6

\(\mathbf{y = \frac{1}{2}((x - 6) (x -6)) + \frac 32}\)

Express as squares

\(\mathbf{y = \frac{1}{2}(x - 6)^2 + \frac 32}\)

Hence, the equation of the parabola is: \(\mathbf{y = \frac{1}{2}(x - 6)^2 + \frac 32}\)

Read more about equations of parabola at:

https://brainly.com/question/4074088

The particular solution to the following system is x(t) = C₁\(e^{5t}\) + C₂\(e^{t}\) + (5/2) \(e^{t}\)/D

x' = 3x + 2y + 3\(e^{t}\)

y' = 2x + 3y - 2\(e^{t}\)

The first equation can be written as

(D-3)x - 2y = 3\(e^{t}\)

The second equation can be written as

-2x + (D-3)y = - 2\(e^{t}\)

(D-3)²x - 4x = (D-3)3\(e^{t}\) - 4\(e^{t}\)

(D²+9-6D-4)x = 3\(e^{t}\) - 9\(e^{t}\) - 4\(e^{t}\)

(D²-6D+5)x = - 10\(e^{t}\)

Auxiliary Equation

m²-6m+5=0

(m-5)(m-1)=0

CF = C₁\(e^{5t}\) + C₂\(e^{t}\)

Particular Integral

PI = -10\(e^{t}\)/(D²-6D+5)

= -10\(e^{t}\)/(D-5)(D-1)

= (5/2) \(e^{t}\)/D

x(t) = C₁\(e^{5t}\) + C₂\(e^{t}\) + (5/2) \(e^{t}\)/D

To learn more about auxiliary and particular solutions,

https://brainly.com/question/15127193

#SPJ4

Answer:

B. Acceleration

Step-by-step explanation:

Let x be the number

\(\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}\)

\(\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}\)

\(\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}\)

\(\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }\)

\(\small\bold\red{→}\small\bold{x = 12}\)

Hello.

First, "half a number" means we divide that number by 2.

Let's say the number is z.

Divide z by 2:

\(\displaystyle\frac{z}{2}\)

Add 5 to it:

\(\displaystyle\frac{z}{2} +5\)

Now, this expression equals 11:

\(\displaystyle\frac{z}{2} +5=11\)

Subtract 5 from both sides:

\(\displaystyle\frac{z}{2} =11-5\)

\(\displaystyle\frac{z}{2} =6\)

Now, in order to get rid of the fraction, we should multiply the entire equation by 2:

\(\displaystyle\frac{z}{2} *2=6*2\)

\(z=6*2\)

\(\Large\boxed{z=12}\)

I hope it helps.

Have an outstanding day. :)

\(\boxed{imperturbability}\)

Answer:

A-15 CM

Step-by-step explanation:

Hypotenuse (C)= 9²+12²

=81+144

=225

C2=225

C/HYPOTENUSE=√225=15

PLEASE MARK BRAINLIEST

Step-by-step explanation:

4x-3x=2-1

×=1

that's fine

Answer:

D. 12 units

Step-by-step explanation:

For a point to be translated x units to the left, we must subtract x from the original point, so the x coordinate for M' is -4 as 4 - 8 = -4

For a point to be translated x units down, we must subtract x from the original point, so the y coordinate for M' is -3 as 6 - 9 = -3

Thus, the coordinates for M' is (-4, -3)

The formula for distance, d, between two points is

\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\), where (x1, y1) is one point and (x2, y2) is another point.

If we allow M (4, 6) to be our x1 and y1 point and M' (-4, -3) to be our x2 and y2 point, we can find the distance between the two points:

\(d=\sqrt{(4-(-4))^2+(6-(-3))^2}\\ d=\sqrt{(4+4)^2+(6+3)^2}\\ d=\sqrt{(8)^2+(9)^2}\\ d=\sqrt{64+81}\\ d=\sqrt{145}\\ d=12.04159458\)

Step-by-step explanation:

3x-4y=13

y=-3x-7

3x-4(-3x-7)=13

3x+12x+28=13

15x=-15

x= -1

y= -3x-7 = 3-7= -4

( -1, -4)

Answer:

domain is all real numbers

The solution to the integral \(\(\int \frac{x^3}{x^4-6}dx\)\) using the substitution \(\(u=x^4-6\)\) is \(\(\frac{1}{4}\ln|x^4-6| + C\)\), where \(\(C\)\) represents the constant of integration.

To evaluate the integral \(\(\int \frac{x^3}{x^4-6}dx\)\) by making the substitution \(\(u=x^4-6\)\), we can follow these steps:

1. Differentiate the substitution variable \(u\) with respect to \(x\) to find \(du\):

 \(\(\frac{du}{dx} = \frac{d}{dx}(x^4-6)\) \\ \(\frac{du}{dx} = 4x^3\)\)

  Rearranging, we have \(\(dx = \frac{du}{4x^3}\)\).

2. Substitute the expression for \(\(dx\)\) and the new variable \(\(u\)\) into the original integral:

 \(\(\int \frac{x^3}{x^4-6}dx = \int \frac{x^3}{u}\cdot\frac{du}{4x^3}\)\)

  Simplifying, we get \(\(\int \frac{1}{4u} du\)\).

3. Integrate the new expression with respect to \(\(u\)\):

\(\(\int \frac{1}{4u} du = \frac{1}{4}\int \frac{1}{u} du\)\)

  Taking the antiderivative, we have \(\(\frac{1}{4}\ln|u| + C\)\).

4. Substitute the original variable \(\(x\)\) back in terms of \(\(u\)\):

  \(\(\frac{1}{4}\ln|u| + C = \frac{1}{4}\ln|x^4-6| + C\).\)

Therefore, the solution to the integral \(\(\int \frac{x^3}{x^4-6}dx\)\) using the substitution \(\(u=x^4-6\)\) is \(\(\frac{1}{4}\ln|x^4-6| + C\)\), where \(\(C\)\) represents the constant of integration.

The complete question must be:

Evaluate the integral by making the given substitution. (Use C for the constant of integration. Remember to use absolute values where appropriate.)

\(\int \:\frac{x^3}{x^4-6}dx,\:u=x^4-6\)

Learn more about integration:

https://brainly.com/question/31744185

#SPJ11

Answer:

Reflected on the Y axis

Step-by-step explanation:

x axis is 0, while y axis is both 7 and -7.

The years when the spending be more than $66 billion is in 4 years time.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The equation is given as y=12.7x+15.2 and the amount is $66 billion. Therefore, the value of x will be:

y=12.7x+15.2

66 = 12.7x + 15.2

Collect like terms

12.7x = 66 - 15.2

12.7x = 50.8

Divide

x = 50.8 / 12.7

x = 4

The number of years is 4.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

Answer:

(3x - 5)(x - 6).

Step-by-step explanation:

In order to factor this quadratic, we can use the method of grouping. First, we need to find two numbers that add up to 23 and multiply to 90. The two numbers 18 and 5 satisfy both of these conditions,

since 18 + 5= 23 and 18*5

We can then factor the quadratic as follows:

\(\sf 3x^2 - 23x +30\)

we can write it as:

\( \sf 3x^2 -(18+5)x + 30 \)

Opening bracket

\( \sf 3x^2 - 18x -5x +30  \)

Taking common from each two terms

\( \sf 3x(x-6) -5(x-6)  \)

Taking common and keeping remaining in bracket

\( \sf (x-6)(3x-5)  \)

Therefore, the quadratic of \( \sf 3x^2 - 23x +30  \) can be factored as (3x - 5)(x - 6).

1 square unit looks like the area of a square with side measuring 1 unit.

According to the question,

We have the following information:

1 square unit

Now, we know that the square units mean that it is the area of the figure. Now, it can be for any figure whether it is a triangle or square or a circle but the measurements of the sides in such a way that the area found using the formulas of the given figure should be 1 square unit.

For example, if the side of the square is 1 unit then the area of the square is 1 square unit.

Hence, 1 square unit looks like the area of a square with side measuring 1 unit.

To know more about square unit here

https://brainly.com/question/2411992

#SPJ4

If a person going to a party was asked to bring 3 different bags of chips. going to the store, she finds 15 varieties. there are 455 different selections that can she make.

A person going to a party was asked to bring 3 different bags of chips

On going to the store, she finds 15 varieties

Number of different selections can be found by using combination

nCr = n! / (r! x (n - r)!)

Where n denotes the number of choices available and r denotes the number of itmes to be choosen

Here n is 15 and r is 3

nCr = n! / (r! x (n - r)!)

¹⁵C₃ = 15! / (3! x (15 - 3)!)

¹⁵C₃ = 15! / (3! x12!)

¹⁵C₃ = 455

Therefore, if a person going to a party was asked to bring 3 different bags of chips. going to the store, she finds 15 varieties. there are 455 different selections that can she make.

To learn more about combinations refer here

https://brainly.com/question/11732255

#SPJ4

The coordinates of the midpoint of line OE are (8, 11).

To find the midpoint of line OE, we can use the midpoint formula.

The midpoint formula is ((x₁ + x₂)/2, (y₁+ y₂)/2), where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

In this case, Point E has coordinates (16, 22), and Point O is the origin with coordinates (0, 0).

Applying the midpoint formula:

Midpoint = ((16 + 0)/2, (22 + 0)/2) = (16/2, 22/2) = (8, 11)

Learn more about midpoint at

https://brainly.com/question/99895

#SPJ11

Answer:

same bro

Step-by-step explanation:

check my profile for explanation

Step-by-step explanation:

The figure consists of 6 rectangle and 2 triangle faces.

Surface area (excluding bottom side) is:

Total surface area (including bottom side):

Answer:

\(s \: = \: 2(2.4 \times 1.6 + 1.3 \times 16 + 1.5 \\ \times 16 + ( \frac{1}{2} ) \times 2.4 \times 0.9) \\ \\ = 18.8y {d}^{2} \\ \\ total \: surface \: area \: ( \: including \\ \\ bottom \: side \: ) \\ \\ a \: = 18.8 + 2.4 \times 13 \\ \\ = 21.92y {d}^{2} \)

heared about meet, wxa szcx ewn

Jorge mowed 18 lawns.

Let the number of lawns mowed by Jorge =x

So according to the question

Number of lawns mowed by sandra = x/3

Number of lawns mowed by Danny =x/2

Number of lawns mowed by Valeria =16

sum of total lawns mowed = lawns mowed by Jorge + lawns mowed by sandra + lawns mowed by Danny + lawns mowed by Valeria.

\(x+\frac{x}{3} +\frac{x}{2} +16=49\)

taking LCM as 6 and solving further we get

\(\frac{6x+2x+3x+96}{6} =49\)

By cross Multiplying we get

11x+96=294

11x=198

Solving further for x,

x=198/11

x=18

Therefore,  the number of lawns mowed by Jorge is 18 .

Learn more about Ratio here https://brainly.com/question/15271657

#SPJ4

Answer:

vgh

Step-by-step explanation:

D

slope formula:

(y2-y1)/(x2-x1)

(-6-6)/(4-(-2))

-12/6=

-2

SLOPE: -2

The sample space for the events are given as follows -

Picking up a one ball randomly from six balls -

S [1] = {A, B, C, D, E , F}

Picking up a one ball randomly from balls D to F -

S [2] = {D, E , F}

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur.

Given in the question a bag has six balls labeled A, B, C, D, E , F and one ball is randomly picked.

Sample space is defined as the set of all the outcomes for a given event. In the question given, the event is picking up of a ball randomly. A total number of six balls are there in the bag. Therefore, if a ball is picked up randomly, it could be any of the six. Therefore - the sample space for this event will be -

S [1] = {A, B, C, D, E , F}

Now, for the event of choosing a letter from D to F, we have total three outcomes. So in this case the sample space will be -

S [2] = {D, E , F}

Therefore, the sample space for the events are given as follows -

Picking up a one ball randomly from six balls -

S [1] = {A, B, C, D, E , F}

Picking up a one ball randomly from balls D to F -

S [2] = {D, E , F}

To solve more questions on Sample space, visit the link below-

https://brainly.com/question/8675889

#SPJ1

the inequality will be x<16.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

9 > x - 7

=x-7<9

=x<9+7

=x<16

Hence, the inequality will be x<16.

Learn more about inequality here:

brainly.com/question/14098842

#SPJ1