What is the equation of the line that is perpendicular to y = 3x + 3 and passes through the point (−6, 9)?

y equals negative one-third times x plus 3
y equals negative one-third times x plus 7
y = 3x − 33
y = 3x + 27

Answers

Answer 1

Answer:

y=-1/3x+7

Step-by-step explanation:

put it in y-y1=m(x-x1)

perpendicular means the slope is opposite

slope is -1/3

y-9=-1/3 (x+6)

y-9=-1/3x -2

+9           +9

y=-1/3x +7


Related Questions

write an equation in form of y=mx+b for a line with slope =7 and y-intercept =4

Answers

The slope is defined by m and the y intercept by b

So when you replace the numbers into the equation y= mx + b

Y = 7x + 4

3. Is x^5 + x² + x? a polynomial? Explain why or why not.

Answers

ANSWER:

A polynomial is an algebraic expression of ordered addition, subtraction, and multiplication made up of variables, constants, and exponents.

Polynomials are made up of finite terms. Each term is an expression that contains one or more of the three elements they are made of variables, constants, or exponents.

In this case, for each term, the variable is x, the constant is 1, and the exponents are 5, 2, and 1, respectively.

This means that we have a sum of monomials, that is, that the expression is a polynomial.

Ax+By=C form with slope of 14 over 13 with points (5,6) and (-8,-8)

Answers

[tex]\displaystyle\\Answer:\ -\frac{14}{13} x+y=\frac{8}{13}[/tex]

Step-by-step explanation:

Ax+By=C   the slope is 14/13   (5,6)    (-8,-8)

The slope m equil 14/13

[tex]\displaystyle\\By=mx+C\\\\By=\frac{14}{13} x+C\ \ \ \ (1)[/tex]

Substitute the coordinates of the points into equation (1) and obtain a system of equations:

[tex]\displaystyle\\\left \{ {{B(6)=\frac{14}{13}(5)+C } \atop {B(-8)=\frac{14}{13}(-8)+C }} \right.\\\\\left \{ {{6B=\frac{70}{13} +C\ \ \ \ \ \ \ (2)} \atop {-8B=-\frac{112}{13}+C\ \ \ (3) }} \right.[/tex]

Multiply  both parts of the equation (3) by -1:

[tex]\displaystyle\\\left \{ {{6B=\frac{70}{13}+C \ \ \ \ (4)} \atop {8B=\frac{112}{13}-C }} \right.[/tex]

Add these equations :

[tex]14B=\frac{182}{14}\\\\ 14B=14[/tex]

Divide both parts of the equation by 14:

[tex]B=1[/tex]

Hence, let's substitute the value of B into equation (4):

[tex]\displaystyle\\6(1)=\frac{70}{13}+C \\\\6=\frac{70}{13}+C\\6-\frac{70}{13} =\frac{70}{13} +C-\frac{70}{13}\\\\\frac{6*13-70}{13}=C\\\\\frac{78-70}{13}=C\\\\\frac{8}{13}=C\\[/tex]

[tex]\displaystyle\\Thus,\ C=\frac{8}{13}\\\\ So,\ 1(y)=\frac{14}{13} x+\frac{8}{13} \\ -\frac{14}{13} x+y=\frac{8}{13}[/tex]

the product of a number and -3 increased by 16 is 31

Answers

(-43/3)
rearrange into a equation
solve for x.
3x+7=-36
First, subtract 7 from both sides:
3x+7-7=-36-7
3x=-43
divide both sides by 3.
(3x)/3=-43/3
x=-43/3

The functions f(x), g(x), and h(x) are shown below. Select the option that represents the ordering of the functions according to their average rates of change on the interval 3≤x≤7 goes from least to greates

Answers

Given

Function f(x) , g(x) and h(x)

Find

Order of the function according to average rate of change

Explanation

Average rate of change can be given by

[tex]\frac{f(b)-f(a)}{b-a}[/tex][tex]3\leq x\leq7[/tex]

for f(x)

[tex]\begin{gathered} \frac{f(7)-f(3)}{7-3} \\ \\ \frac{-10-(-8)}{4} \\ \\ -\frac{2}{4} \\ \\ -\frac{1}{2} \end{gathered}[/tex]

for g(x)

[tex]\begin{gathered} \frac{g(7)-g(3)}{7-3} \\ \\ \frac{7-(27)}{4} \\ \\ -\frac{20}{4} \\ \\ -5 \end{gathered}[/tex]

for h(x)

[tex]\begin{gathered} \frac{h(7)-h(3)}{7-3} \\ \\ \frac{60-24}{4} \\ \\ \frac{36}{4} \\ 9 \end{gathered}[/tex]

Final Answer

least to greatest = g(x) , f(x) . h(x)

correct option is 2.

what is 14+7.2n=11+7.5n (whole number)

Answers

Hello!

Let's solve:

      [tex]\text{Copy down the equation}\\14+7.2n=11+7.5n\\\\\\\text{Move all the variables to one sides and constants to the other}\\14-11=7.5n-7.2n\\7.5n-7.2n = 14-11\\0.3n = 3\\\\\\\text{Divide both sides by 0.3}\\\dfrac{0.3n}{0.3} =\dfrac{3}{0.3} \\\\n = 10[/tex]

Answer: 10

Hope that helps!

If f (x) = x/2 - 3 and g(x) = 4 x^2 + x-4, find (f+g)(x).

Answers

The sum of the two functions can also be expressed as follows;

[tex](f+g)(x)=f(x)+g(x)[/tex]

This is not a difficult process. We just put the terms of the two functions together.

We have to be careful to add or subtract the coefficients of similar terms, taking into account their signs.

[tex]f(x)=\frac{x}{2}-3[/tex][tex]g(x)=4x^2+x-4[/tex][tex](f+g)(x)=f(x)+g(x)[/tex][tex](f+g)(x)=4x^2+x+\frac{x}{2}-7[/tex]

Answer:

Step-by-step explanation:

x2 – 2x – 8

2334567Happy Paws charges $19.00 plus $2.50 per hour to keep a dog during the day. Woof Watchers charges$10.00 plus 53.75 per hour. Complete the equation and solve it to find for how many hours the total costof the services is equal. Use the variable h to represent the number of hours.The equation isThe total cost of the services will be equal athours.

Answers

Let h be the hours and y the total charge. Then, for Happy Paws, we have

[tex]y=2.50h+19[/tex]

and for Woof Watches, we have

[tex]y=3.75h+10[/tex]

Then, we need to solve these equations.

Solving by elimination method.

If we multiply by -1 the first equation, we have the equivalent system of equations:

[tex]\begin{gathered} -y=-2.50h-19 \\ y=3.75h+10 \end{gathered}[/tex]

If we add both equations, we obtain

[tex]0=(3.75-2.50)h+10-19[/tex]

because y-y=0. Then, it yields,

[tex]0=1.25h-9[/tex]

If we move -9 to the left hand side as -9, we have

[tex]\begin{gathered} 9=1.25h \\ h=\frac{9}{1.25} \\ h=7.2 \end{gathered}[/tex]

Hence, to find the total cost, we must substitute this values into one of the 2 equations. If we choose the first one, we obtain

[tex]\begin{gathered} y=2.50(7.2)+19 \\ y=18+19 \\ y=37 \end{gathered}[/tex]

Then, the answers are:

The equation is

[tex]2.50h+19=3.75h+10[/tex]

and, the total cost of the services will be equal at 7.2 hours

The mass of Mars is 6.42 x 1023 kilograms. The mass of Mercury is 3.3 x 1023 kilograms.

Answers

Answer:

Im unaware what you are asking?

Step-by-step explanation:

hmmmm

Five rays share a common endpoint. Set up an equation to find the value of x.

Answers

The equation that can be set up is, 2x° + 3x° + 36.5° + 36.5° + 2x° = 360°.

The value of x is: x = 41.

What are Angles around a Point?

Angles that are formed around an endpoint but several rays will have a sum of 360 degrees when each of the angles formed around the endpoint is added together.

The diagram shows the angles that are formed by the five rays at a common endpoint. The angles are, 2x°, 3x°, 36.5°, 36.5°, and 2x°.

The sum of all these angles formed will give us 360 degrees. Therefore, the equation that would be created to find the value of x would be written as:

2x° + 3x° + 36.5° + 36.5° + 2x° = 360° [equation set up to find x]

Combine like terms

7x° + 73° = 360°

Subtract 73 from each side

7x° + 73° - 73° = 360° - 73° [subtraction property of equality]

7x = 287

Divide both sides by 7:

7x/7 = 287/7 [division property of equality]

x = 41

Learn more about equation on:

https://brainly.com/question/4818864

#SPJ1

Trixie exclaimed , “hey! Arithmetic sequences are just name for linear functions.” What do you think ? justify your idea based on multiple representations

Answers

An arithmetic progression is a sequence in which each number is a fixed amount larger (or smaller) than the one before it. The common difference is the sum in question.

"Arithmetic sequences are just name for linear functions", what you think?

An arithmetic progression is a sequence in which each number is a fixed amount larger (or smaller) than the one before it. The common difference is the sum in question.

By picking two consecutive words in the sequence and deducting the first from the second, we may get the common difference for a particular sequence.

The graph of linear function is a straight line. A function with the formula y=f(x)=ax+by=f(x)=ax+b is said to be linear.

Although not quite the same, arithmetic progressions resemble linear functions.

If the value nn is a full number, then the expression t(n)=2n-4t(n)=2n4 denotes a series, and the graph of this sequence will have distinct points (as shown below).

The expression f(x)=2x-4f(x)=2x4, where xx is any real number, on the other hand, denotes a function, and this function's line graph will be continuous (as shown below).

Although not quite the same, arithmetic progressions resemble linear functions.

To know more about real number visit: https://brainly.com/question/551408

#SPJ13

What is the remainder of 5x3 - 7x² + 2x + 1 divided by (x - 3)?

A.) 126
B.) 79
C.) 203
D.) 205

Answers

Answer: A

Step-by-step explanation:

simplify the expression 22(5) − 8

Answers

Answer:The answer to the expression is 102.

Step-by-step explanation:

Answer:

102

Step-by-step explanation:

22(5)-8=102

Multiply and divide (left to right) 22(5) :   110

= 110 - 8

Add and subtract ( left and right) 110 - 8 :    102

what is 7.6 x 10^4 in standard form?

Answers

Answer: 76,000

Step-by-step explanation:

You move the decimal point to the right 4 times because of the positive exponent.

Write a condition Pls

Answers

The answer would be 30 meter Square

A and B together can do a piece of work in 12 days; B and C together can do it in 15 days. If A is twice as good a workman as C, in how many days will A alone need to finish the work.

Answers

Answer:

it's 21 something like that

Step-by-step explanation:

im 14

Can someone give me the answer to this pls?

Answers

Answer: x= -3

Step-by-step explanation:

1) Set up the equation with triangle sum

35 + x + 58 + 90 = 180

2) Solve

183 + x = 180

x = -3

x/8 = 12.8 solve for x

Answers

Answer:

x = 102.4

Step-by-step explanation:

x/8 = 12.8   | * 8

x = 12.8 * 8

x = 102.4

Answer:  x=102.4

Step-by-step explanation:

(x/8)*8=12.8*8

x=102.4

Write your answer as a fraction in simplest form. 4/25x10

Answers

4/25x10/1

=4x10/25

=40/25

=8/5

-2 1/3+ 1 4/7 what is the solution of this equation?​

Answers

Answer:

[tex]-\frac{16}{21}[/tex]

Step-by-step explanation:

lets organize the equation so it becomes easier to see

[tex]-2\frac{1}{3} + 1\frac{4}{7}[/tex]

switch the spots so that it becomes even easier to read (this does not affect the result in any way)

[tex]1\frac{4}{7}-2\frac{1}{3}[/tex]

now make them both improper fractions

[tex]\frac{11}{7} -\frac{7}{3}[/tex]

and make them both have the same denominator (21)

[tex]\frac{33}{21} -\frac{49}{21}[/tex]

and solve

([tex]33-49= -16[/tex])

[tex]\frac{33}{21} -\frac{49}{21} =\frac{-16}{21}[/tex]

can we simplify [tex]\frac{-16}{21}[/tex]? does 16 and 21 have a common factor?

No.

so our result is

[tex]-\frac{16}{21}[/tex] or 0.761904762

Write an equation of the line passing through point P(-2, 6) that is parallel to the line x =-5 X Graph the equations of the lines to check that they are parallel.

Answers

The equation of the line passing through the point P(-2,6) that is parallel to the line x = -5 is x = -2   .

In the question ,

it is given that

the required line is parallel to x [tex]=[/tex] -5

means the line x [tex]=[/tex] -5 , is a vertical line parallel to y axis , it makes an angle of 90° with the x axis .

so , slope will be tan(90°) = 1/0

hence the slope of the required line is 1/0.

The equation of the line passing through point P(-2,6) and with slope = 1/0 , is

y-6 = (1/0)*(x-(-2))

0 = 1 * (x + 2)

0 = x + 2

x = -2

the graph is drawn below .

Therefore , The equation of the line passing through the point P(-2,6) that is parallel to the line x = -5 is x = -2 .

Learn more about Equation of Line here

https://brainly.com/question/18458132

#SPJ1

Given the equations y=x+7 and y=x^2+4 how many times do they intercept?

Answers

According to the following graph, the equations  y=x+7 and y=x²+4 will intercept 2 times at the points (-1.3, 5.7) and (2.3, 9.3).

Intercept:

The point where the line or curve crosses the axis of the graph is known as intercept.

That is, if a point crosses the x-axis, then it is known as the x-intercept. Similarly, if a point crosses the y-axis, then it is called as the y-intercept.

Given,

Here we have the equation  y=x+7 and y=x²+4.

Now, we need to find the number of times the equation is intercepts.

First, we have to plot the graph for the given equations,

Then based on that one we have easily identify the intercepting points in order to get the results.

In the following graph, the blue line represents the equation y=x²+4 and the red line represents the equation y = x + 7.

While we looking into the graph we have identified that the two lines are intersecting at two point they are (-1.3, 5.7) and (2.3, 9.3).

To know more about Intercept here.

https://brainly.com/question/14180189

#SPJ1

please help me on this

Answers

180-138= 42 the measure of angle 4 is 42° because of the interior angles rule
I think they are correct

2.if the m∠5 is 63° , find the measure of ∠3.
Show your work

Answers

Answer:

117°

Step-by-step explanation:

180-63=117°

so hope it help

hellppppp meeee pleaseeee

Answers

Answer:

a) x+4

b) a = 1, b = 10

Step-by-step explanation:

a) You can read the lenght of AB, which is 4 + x

b) The lenght of AD is 6+x

The area of the rectangle ABCD is lenght AB * lenght CD,

so (4+x)*(6+x) = 24 + 6x + 4x + x^2 = x^2 + 10x +24

Since this must equal 28, it follows that

x^2 + 10x + 24 = 28,

so 1*x^2 + 10x = 4

(note that 1*x^2 is just x^2)

so a = 1 and b = 10

At a restaurant, Hamburgers cost $2.50 each and French Fries cost $1.20 each. If I went to this restaurant, and bought $8.60 worth of food,
write an equation which models how many hamburgers and french fries I purchased.
Let H represent Hamburgers
Let F represent French Fries.

Answers

Answer:

2.50h+1.20f=8.60

Step-by-step explanation:

Since the total cost of food costs $8.60, add together the costs of however many burgers and however many fries you bought. 2.50 and 1.20 are multiplied by the amount of food you purchase

Solve for the value of w. * (8w+8)(9w-5)°​

Answers

The solution for the value w is 13 in the equation 8w+8 = 9w-5.

What is an angle?

Two rays, referred to as the angle's sides and vertex, come together to form an angle. Angles created by two rays are located in the plane where the rays are located.

Dihedral angles are formed when two planes intersect. The angle formed by the rays lying perpendicular to the two intersecting curves at their point of intersection can also be used to define an angle between two intersecting curves.

Angle is a term used to describe the size of an angle or of a rotation. This metric represents the proportion of a circular arc's length to radius. In the case of a geometric angle, the arc is centred at the vertex and is bound by the sides.

We know that vertical angles of intersection are equal, so here

⇒ (8w+8) = (9w-5)

⇒ 8w+8 = 9w-5

⇒ 9w - 8w = 8 + 5

⇒ w = 13

Angle measure = 8(13)+8

                          = 112°

Learn more about angles

https://brainly.com/question/25716982

#SPJ13

2x - 3y = -6please solve and graph

Answers

2x - 3y = -6

Solve for y:

-3y= -6-2x

y= (-2x-6) /-3

y= 2/3x+2

Slope intercept form:

y= mx+b

Where:

m= slope (2/3)

b= y-intercept (2)

So, to graph the function, we have to draw a line that crosses the y axis at 2, and for every 3 units moved to the right along the x-axis it goes up 2 units along the y-axis.

Thenegative interval(3) of the functiony=-X²+1 are

Answers

We are given the following function

[tex]y=-x^2+1[/tex]

We are asked to find the negative interval of this function.

A negative interval means that where the y values of the function are negative.

Let us have a look at the graph of this function.

As you can see,

For x = 0, the interval is positive.

For x = 1 and x = -1 the y value is 0 (we don't consider 0 as either positive or negative that's why 0 is not included in the negative or positive interval)

The y values of the function are negative for

x > 1 and x < -1

Therefore, the negative interval of the function y = x² + 1 is

[tex]1

What type of reasoning is used to find the next amount of train cars? Explain your answer.

Answers

Answer: It's using the table of 2 to continue the pattern of trains.

in the first fig the no. of carton is 0.

for the next one it is 2 and the next 4.

the pattern will thus continue with the multiplication table of 2.

Other Questions
please help ASAPHow does the genetic diversity of ancient India contribute to the development of the caste system? How does the Hindi religion, writing systems, and the caste system aid in the integration of outside invaders into Indian culture? What was the purpose of the various taxes placed on the American colonies after the Frenchand Indian War?A. it was used to help the colonists fight off FranceB. it was used to raise money for the Revolutionary WarC. to pay the debt caused by the French and Indian WarD. it was used to encourage trade with the colonists and Spain The melting point of nitrogen is -210 C. The melting point of magnesium is 650 C.What is the difference in melting points of the two elements? Calmodulin binds ______ in smooth muscle cells, resulting in contraction of the tissue. Which characteristics should be avoided in formal writing? I NEED HELP RN PLSSSS help please. match each phrase to the question it answers. Four pencils held together with a band 3-3k+7k=5b solve for x choose the appropriate accounts to complete the company's balance sheet. make sure to select 'adjusted' from the dropdown, which will then populate the balances in those accounts from the adjusted trial balance. (amounts to be deducted should be entered in minus sign.) Solve for the correct answer:veintids - siete =veintinuevecatorcequincedoce Quon decides to sell his antique roadster, so he places an ad on craigslist. He lists the roadster as a 1957 mercedes benz 300sl roadster, describes it as in good working condition, and states that no reasonable price will be refused. Fern responds to the ad and offers to pay $25,000 to quon for the car, which quon agrees to. In this scenario, who is the offeror?. Which equation represents a proportional relationship? responses 14x y=10 fraction 1 over 4 end fraction x plus y equals 10 y=14x y equals fraction 1 over 4 end fraction x y=13x 1 y equals fraction 1 over 3 end fraction plus 1 i don't know. 4.7.4 pt. 2 Modeling Pumpkin launch, we were covering graphs of quadratic functions please help! Thank you, all the info you need is on part 1 on my account 1. Based on the constitutional clause identified in part A, explain why the facts of Gonzales v. Raich led to a different holding from the holding in United States v. Lopez.My answer was In Gonzales v. Raich, the decision was that the government could have the authority to prohibit the use and possession of marijuana. While in United States v. Lopez, it was decided that the Gun-free School Zones Act of 1990 was struck down by SCOTUS (The Supreme Court of the United States) who ruled that the act fell outside the authority of the commerce clause, as it would be very unlikely of an individual who committed a crime with a gun in a school zone to go to another state. The SCOTUS ruled that the Commerce Clause authority includes the power to prohibit the local cultivation and use of marijuana, despite state law to the contrary, because marijuana could be taken outside of California and to another state, meaning that it is part of interstate commerce. Is this incorrect? Is it mandatory to bring up the economic effect? I thought it can have many different answers. Use the point-slope form to find the equation of each altitude of SABC. (Recall ! a triangle is the perpendicular drawn from any vertex to the opposite side.) (b) A(4,3), B(0,7). C- (a) A(1, -2), B(3,4), C(-2,6) URGENT PLEASE HELPA triangle is translated 6 units left and then dilated by a factor of 0.5.Which statement about the triangle's image and pre-image is correct?A) The image and pre-image are congruent figures because one of the transformations is a rigid transformation, and the otheris not.B) The image and pre-image are congruent figures because both transformations are rigid transformations.C) The image and pre-image are not congruent figures because one of the transformations is a rigid transformation, and theother is not.D) The image and pre-image are not congruent figures because both transformations are rigid transformations. standard to intercept form Which of the following is an accurate statement about the microcentrifuges we use in class?A. The ONLY use is to pellet cellular debrisB. All of the options are correctC. You must close both the internal and external lidsD. All of the centrifuge tubes must be on the same side of the rotor Choose the answer which correctly completes the sentenceThis reform ....... to electoral success in 1996 amidst wdrd popularity.a. ledb. is leading. had ledd. hv led