Write an equation in point-slope form of the line having the given slope that contains the given point. m=56m=56m (30,12)

Answers

Answer 1

Point-slope form is [tex]y-y_1=m(x-x_1)[/tex], where the point [tex]P(x_1,y_1)[/tex] lies on the graph and m is the slope of the graph.

We have a point (30, 12) and a slope of 56.

So we write [tex]y-12=56(x-30)[/tex]. And we're done.

Related Questions

A rational expression that will be undefined at x=1?

Answers

This rational. expression will be undefined when x=1. 3x+2÷(-x+1)

A rational expression of the form
[tex]r(x)= \dfrac{p(x)}{q(x)} [/tex]
will be undefined for the zeros of the expression [tex]q(x)[/tex]. For an expression with a zero equal to 1, the simplest way is to use [tex](x-1)[/tex] as a factor in [tex]q(x)[/tex]. In can be your only one, or you can mix in other factors.

But, so long as the denominator of [tex]r(x)[/tex] is equal to zero, as it is when [tex]q(x)=x-1[/tex], the expression will be undefined at that point x, because it would involve division by zero.

You could use as your sample:

[tex] \dfrac{x-7}{x-1} [/tex]

You can try to get fancy and square some factors or add in some radicals or trigonometric functions or anything else, so long as the 1 makes the denominator equal to zero!

What is a Banknote? Does a banknote have to come from the government?

Answers

A piece of paper money, and yes it does

A banknote (often known as a bill, paper money, or simply a note) is a type of negotiable promissory note, made by a bank, payable to the bearer on demand. Banknotes were originally issued by commercial banks, who were legally required to redeem the notes for legal tender (usually gold or silver coin) when presented to the chief cashier of the originating bank.

(-6,12,-24...) What is the common difference? Is it Arithmetic or Geometric

Answers

This question of yours is not well arranged....
In an aptitude test if am given a question like this I wouldn't even solve it because the answer is in the question...
How???

"what is the common difference " then you asked" is it Arithmetic or geometric"

I would have chosen arithmetic because common difference is only typical to arithmetic progression... But this question is a typical Geometric sequence "we use Common ratio"

Common ratio = T₂/T₁
Common difference = T₂-T₁

T₂ = 12 and T₁ =-6

∴Common ratio = 12/-6 = -2......
Meaning each number in the sequence in creases by a factor of -2....

Multiply T₁ by -2 you'll have 12[T₂]
Multiply T₂ by -2 you'll have -24[T₃] and the sequence continues .........

Hope this helped......?

In what range do the closing costs on a home loan typically fall?
a. 1% to 3%
b. 3% to 5%
c. 5% to 7%
d. 7% to 10%

Answers

Answer:

The answer is b.

Step-by-step explanation:

Answer:

b. 3% to 5% is the right choice.

Step-by-step explanation:

When a person buys a house, he will pay anywhere between 2 to 5 percent of the actual home price or the purchase price in the closing fees.

For example - if a home costs $200,000, a person can pay between $4000 and $10000 in closing costs.

So, option B : 3% to 5% is the correct answer.

A Web site defines a regular polygon as “a polygon with all sides the same length.” Is this definition valid?

A. Yes, because all regular polygons fit this definition.
B. Yes, because a square is a regular polygon.
C. No, because some polygons that are irregular fit this definition.
D. No, because not all regular polygons fit this definition.

Answers

Final answer:

The definition of a regular polygon as a polygon with all sides the same length is incomplete because it does not include the requirement that all angles must also be equal. Therefore, the best answer choice is C, as some polygons with equal sides do not have equal angles and are not regular.

Explanation:

The definition of a regular polygon as “a polygon with all sides the same length” is not entirely accurate, because it overlooks an important aspect of regular polygons. For a polygon to be considered regular, it must not only have all sides of equal length but also all angles must be equal. Therefore, the correct answer is C. No, because some polygons that are irregular fit this definition. For example, an equilateral triangle and a square are both regular polygons because they satisfy both conditions. However, a rhombus may have all sides of equal length but can have angles that are not equal, which makes it an irregular polygon.

A radius is an angle that connects any point on the circle to the center of that circle. A. True B. False

Answers

Answer:

IT REALLY IS FALSE FOREHEADS

Step-by-step explanation:

Classify the following expression by degree and term: (2 points)

x2y − 7xy + xyz + x

Answers

The degree of the expression is based on the term with the highest exponent. First we can simplify the expression because x2y and 7xy are like terms. You can rearrange x2y into 2xy (the arrangement will not change the product). So if you combine the like terms, you will have a new equation with only three terms, so it will be considered as a trinomial.

xyz - 5xy + x

Remember to always arrange terms in your polynomial in descending order according to the degree.

Now for degree, just get the sum of the exponents to determine the highest degree. The first term in the new equation has 3 variables, x,y, and z. Each of them, even when the power is not expressed are each raised to the power of 1. There are three variables so it will be:
1+1+1 = 3

The first term is classified as 3rd degree, which is the highest. So now you can conclude that this expression is a 3rd degree trinomial.

The given expression is a third-degree polynomial and consists of four terms: x^2y, -7xy, xyz, and x. Each term has a degree based on the sum of the exponents of the variables within it.

The expression in question is x2y − 7xy + xyz + x. To classify this expression by degree and by term, we need to look at the exponents of the variables in each term. The term 'degree' of a term in a polynomial is the sum of the exponents of the variables in that term.

x2y: The degree is 3 (2 from x2 and 1 from y).−7xy: The degree is 2 (1 from x and 1 from y).xyz: The degree is also 3 (1 from x, 1 from y, and 1 from z).x: The degree is 1, as there is only one occurrence of x.

So the expression is a polynomial of third degree with four terms.

What is the rate of change and initial value for the linear relation that includes the points shown in the table?

x y
2 3
4 5
6 7
8 9

A. Initial value: 1, rate of change: 2 (Not the answer)
B. Initial value: 1, rate of change: 1
C. Initial value: 2, rate of change: 2 (Not the answer)
D. Initial value: 3, rate of change: 2

Answers

B. Initial value: 1, rate of change: 1

D is completely off. To get the initial value on a table you have to find the place where the input is zero.

So, you would take (2,3) and decrease both slots by 2 until x reaches zero. Now, we have (0,1). 1 is now our Initial Value.

To find the rate of change, you simply see how much the values increase/decrease. For example, let's take (6,7) and (8,9). As I said before, the input and output value increase by 2. Now, you put the change in 'y' over the change in 'x' and you have 2/2. After simplification, you are left with 1 as a whole number.

-Hope that wasn't too confusing, lol. I got a hundred on my test so I can assure you B. is correct. Good luck on your quiz :)

Answer:

Initial value: 1, rate of change: 1

Step-by-step explanation:

Took the FLVS test

Find the area of the following ellipse Use = 3.14 and round to nearest tenth. a = 7 in.; b = 9 in.

Answers

A of ellipse = pi•a•b= 3.14•7•9= 197.82
Round to the nearest tenth
197.82~ 197.2 in^2

Answer:

197.82

Step-by-step explanation:

A rectangle has a length of 1111 inches less than 33 times its width. if the area of the rectangle is 592592 square inches, find the length of the rectangle

Answers

L = 3W -11
A = L*W
592 = L*(L +11)/3

It is convenient to let a graphing calculator find the solution to this.

L = 37 . . . . inches

When cyclist squeezes her brake lever, she can stop with an acceleration of -3.0 m/s^2 how far will her bike travel while coming to a complete stop if her initial speed was 11 m/s

Answers

We shall use the formula
v² = u² + 2as
where
v = final speed. v = 0 because the cyclist comes to a complete stop.
u = initial speed. u = 11 m/s, given
a = acceleration. a = -3.0 m/s², given
s = distance traveled, m.

Therefore
0 = 11² + 2(-3.0)*s
0 = 121 - 6s

That is,
6s = 121
s = 121/6 = 20.167 m

Answer: 20.2 m (nearest tenth)

Final answer:

The cyclist will travel approximately 20.17 meters before coming to a complete stop when decelerating with an acceleration of [tex]-3.0 m/s^2[/tex] from an initial speed of 11 m/s.

Explanation:

To calculate the distance the cyclist's bike will travel while coming to a complete stop with an initial speed of 11 m/s and an acceleration of [tex]-3.0 m/s^2[/tex], we can use one of the equations of motion. Specifically, we need to use the equation [tex]v^2 = u2 + 2as[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance.

In this case, the final velocity v = 0 m/s (because the bike comes to a stop), the initial velocity u = 11 m/s, and the acceleration a = [tex]-3 m/s^2[/tex] (the negative sign indicates that it is a deceleration).

Plugging these values into the equation, we get:

0 = 112 + 2(-3)s

0 = 121 - 6s

6s = 121

s = 121/6

s = 20.17 meters

Thus, the cyclist will travel approximately 20.17 meters before coming to a complete stop.

The radius of the circular lens of a magnifying glass is 4 centimeters.
What is the area, in square centimeters of the glass?

Answers

Answer: 50.24 square centimeters.

Step-by-step explanation:

Given: The radius of the circular lens of a magnifying glass = 4 centimeters

The area of a circle is given by :-

[tex]\text{Area}=\pi r^2[/tex], where r is the radius of the circle.

Then the area of the circular lens of a magnifying glass is given by :-

[tex]\text{Area}=\pi (4)^2=(3.14)(16)=50.24\text{ square centimeters }[/tex]

Hence, the area of the circular lens of a magnifying glass = 50.24 square centimeters.

Four consecutive integer numbers add to 2. What are the numbers?

Answers

The numbers would be -1, 0, 1, 2.
Hope this helps

Four consecutive integer numbers add to 2. What are the numbers?

Let the smallest integer=x

The three consecutive integers will be x+1,x+2, x+3

Sum of four consecutive integers=2

So, x+x+1+x+2+x+3=2

Adding like terms, we get

4x+6=2

Subtract 6 from both sides

4x+6-6=2-6

4x+0=-4

4x=-4

To solve for x, let us divide by 4 on both sides

4/4x=-4/4

x=-1

So, the four consecutive integers are =x=-1

x+1=-1+1=0

x+2=-1+2=1

x+3=-1+3=2

So, the four consecutive integers are:= -1,0,1,2

Three consecutive integers whose sum is 138

Answers

45 + 46 + 47 = 138

Hope this helps!

X → first integer

X + 1 → second integer

X + 3 → third integer

X + X + 1 + X + 2 = 138

3x + 3 = 138

-3 -3

3x = 135

÷3 ÷3

X = 45

X + 1 = 46

X + 2 = 47

helpppppppppppppppppppppppppp

Answers

An even function is symmetric with respect to the y-axis. One way to identify an even function is to check the exponents of its terms, all of which must be even. For constants, we assume the exponent is zero (still considered an even number for this purpose). The first function will have an odd exponent because the expansion has a 2x term. The second function has 8x, which is also an odd exponent of 1. The third function has an odd exponent in x.
The fourth function is just a constant (with exponent 0), so it is an even function.

An function is considered to be an even function only if f(-x) = f(x)
1. f(x) = (x-1)^2 = x^2 - 2x + 1
f(-x) = (-x-1)^2 = x^2 + 2x + 1
These two don't match, not an even function

2. f(x) = 8x
f(-x) = -8x
These two don't match, not an even function

3. f(x) = x^2 - x
f(-x) = (-x)^2 - (-x) = x^2 + x
These two don't match, not an even function

4. f(x) = 7
f(-x) = 7
Match, is an even function

Kristen owns a bakery called Kristen’s cakes and such and is considering lowering the price of her cakes Kristen pulls her customers and determines that she can sell 100 cakes each week when she charges $25 each she also discovers that for every one dollar decrease in the price of the cake she will sell five more cakes the graph below represents Christians projected weekly revenue for each decrease in the price at what price she Christian sell her cakes in order to meet her maximum potential revenue

Answers

The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue, y = (25 - x)(100 + 5x)Simplifying, y = 2500 + 25x - 5x²We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero. dy/dx = 0 = 25 - 10xThe value of x is 2.5. The price of the cake should be 25 - 2.5 = 22.5. Thus, the price of the cake that will give the maximum potential revenue is $22.5

Suppose a triangle has two sides of the length 2and 3 and that the angle between these two sides is 60 what is the length of the third side of the triangle

Answers

Let the given sides be "a" and "b" and the unknown side be "c". The Law of Cosines tells you
.. c^2 = a^2 +b^2 -2ab*cos(C)
.. c^2 = 2^2 +3^2 -2*2*3*cos(60°)
.. c^2 = 7
.. c = √7 ≈ 2.6458

The third side of the triangle is √7, about 2.6458.

Answer: √7

Step-by-step explanation:

took the test

hhhhhhhellllllllp.....................................

Answers

You have 28 meters of fence to make 3 sides.
28/3 = 9.3333

The pen will be 9.3333 by 9.3333 meters

ich sequence of transformations would result in a figure that is similar, but not congruent, to the original figure? Select all that apply. a dilation with a scale factor of 0.6 followed by a translation of 2 units up a reflection across the y-axis followed by a rotation about the origin of 10 a translation 2 units up followed by a translation of 2 units to the left a rotation about the origin of 50° followed by a dilation with a scale factor of 8

Answers

Translations, reflections, and rotations always result in a figure that is congruent. Only dilations with a scale factor other than 1 will give a similar, but not congruent, figure.

The 1st and 4th selections apply.

The length of a rectangle is three more than twice the width. determine the dimensions that will give a total area of 27m^2

Answers

If x represents the width of the rectangle, then the length is 3+2x, and the total area is
.. A = W*L
.. 27 = x*(3 +2x)
.. 2x^2 +3x -27 = 0
.. (2x +9)(x -3) = 0
.. x = {-4.5, 3} . . . . . . . . . . width, only the positive answer is of interest
.. 3 +2x = 3 +2*3 = 9 . . . . .this is the length

The rectangle is 3 m by 9 m.

Seventy-five bottles of water are randomly tested from the large inventory in a warehouse. Which term refers to the large inventory of water bottles in the warehouse

Answers

the answer is population

A student earned grades of C, A, B, and A in four different courses. Those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. The grading system assigns quality points to letter grades as follows: A = 4, B = 3, C = 2, D = 1, and F = 0. Compute the grade point average (GPA) and round the result to two decimal places.

Answers

Final answer:

To compute the GPA, multiply each grade by its corresponding credit hours, sum up the grade points, and divide by the total number of credit hours. In this case, the GPA is 3.40.

Explanation:

To compute the grade point average (GPA), we need to multiply each grade by its corresponding number of credit hours to get the grade points. Then, we sum up the grade points and divide by the total number of credit hours. Here are the calculations:

Course 1: C grade (2 grade points) x 4 credit hours = 8 grade pointsCourse 2: A grade (4 grade points) x 5 credit hours = 20 grade pointsCourse 3: B grade (3 grade points) x 1 credit hour = 3 grade pointsCourse 4: A grade (4 grade points) x 5 credit hours = 20 grade points

Total grade points = 8 + 20 + 3 + 20 = 51 grade points

Total credit hours = 4 + 5 + 1 + 5 = 15 credit hours

GPA = Total grade points / Total credit hours = 51 / 15 = 3.40

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In a raffle, one ticket is randomly chosen from 80 tickets to receive free haircuts for a year. If Jake entered 6 tickets, what is the probability that he is not chosen to receive the free haircuts? Express your answer as a fraction in simplest form, percent, and decimal.

Answers

Final answer:

The probability that Jake is not chosen in the raffle is 37/40, 92.5%, or 0.925.

Explanation:

The question asks for the probability that Jake is not chosen to receive free haircuts for a year from a raffle of 80 tickets, where he entered 6 tickets.

First, we compute the probability that Jake is chosen, which is the number of tickets he entered divided by the total number of tickets, resulting in 6/80 or 3/40.

To find the probability that Jake is not chosen, we subtract this probability from 1 (the total probability space), yielding 1 - 3/40 = 37/40.

In the simplest form, this is already reduced. As a percent, this probability is 92.5%, and as a decimal, it is 0.925.

What is the midpoint of the segment whose endpoints are (-6,5) and (4,-7)?

Answers

The answer would be (-1, -1) on a coordinate grid.

(-6+4)/2=x
(-2)/2=x
-1=x

(5+-7)/2=y
(-2)/2=y
-1=y

Hey there!

To start, the formula to find the midpoint coordinate pair of two given coordinates is as follows:
([tex] \frac{x1+x2}{2} [/tex], [tex] \frac{y1+y2}{2} [/tex])

Knowing this, plug in your given values (the two x values are -6 and 4; the two y values are 5 and -7) and simplify:
([tex] \frac{-6+4}{2} [/tex], [tex] \frac{5+-7}{2} [/tex])
=([tex] \frac{-2}{2} [/tex], [tex] \frac{-2}{2} [/tex])
=(-1,-1)

Therefore, the midpoint of the coordinates (-6,5) and (4,-7) would be (-1,-1).

Hope this helps and have a marvelous day! :)

explain why the amount of propane in a grill’s tank and the time spent grilling could represent an inverse variation

Answers

The obvious answer is because propane is a gas at room temperature, while 2-propanol is a liquid at room temperature.

That happens because the intermolecular forces that exist between 2-propanol, or isopropyl alcohol, molecules are stronger than those that exist between propane molecules.

Final answer:

The amount of propane in a grill's tank and the time spent grilling represent an inverse variation. As the amount of propane in the tank decreases, the time spent grilling increases.

Explanation:

In the context of a propane grill, the amount of propane in the grill's tank and the time spent grilling represent an inverse variation. In an inverse variation, as one variable increases, the other variable decreases, and vice versa. In this case, as the amount of propane in the tank decreases (more grilling time), the time spent grilling increases. This is because the more propane that is used up, the less time you have left to grill before running out of gas.

Luiza delivers newspapers in her neighborhood. If you plot the points (−1, 1), (4, 1), (4, −2) and (−1, −2), you will create a representation of the route she takes, in miles. How many miles does her route cover?

Answers

The first thing to do in this case is to draw the ordered pairs in the Cartesian plane and join the points.
We have then that the resulting figure is a rectangle.
We must find the perimeter of the rectangle that is given by:
P = 2L + 2W
Where,
L: long
W: width
Restoring the values:
P = 2 * (5) + 2 * (3)
P = 16
Answer:
her route cover 16 miles.

Answer: 16 i just did this

Step-by-step explanation:

Classify each polynomial (monomial, binomial, trinomial) based on number of terms it contains.

-2x^2-x+3.5
10xyz^3
-x^2y^2+2y
8x^2+0.25
x^3y^4+2x^2y-3z

Answers

Answer:

it is 10xyz^3 for monomial. 8x^2+0.25 and -x^2y^2+2y for binomial. And -2x^2-x+3.5 and x^3y^4+2x^2y-3z for trinomial.

Step-by-step explanation:

[tex]10xyz^3[/tex] for monomial. [tex]8x^2+0.25[/tex] and [tex]-x^2y^2+2y[/tex] for binomial. And [tex]-2x^2-x+3.5[/tex] and [tex]x^3y^4+2x^2y-3z[/tex] for trinomial.

What is a polynomial?

They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

We need to find each polynomial (monomial, binomial, trinomial) based on number of terms it contains.

Therefore,

If there is one term, the polynomial will be called monomial thus;

[tex]10xyz^3[/tex]

If there are two terms, the polynomial will be called binomial thus;

[tex]8x^2+0.25[/tex] and [tex]-x^2y^2+2y[/tex]

If there are three terms, the polynomial will be called trinomial thus;

[tex]-2x^2-x+3.5[/tex] and [tex]x^3y^4+2x^2y-3z[/tex]

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Rank the nine career characteristics in order of their importance to you with the first being the most important

Answers

1. President
2. Farmers
3. Army Forces/ Police
4. Doctors
5. Education Administrators
6.Engineers
7. Lawyers
8.Construction Workers
9. Shopkeepers and other workers

That took a lot of thought, and I doubt I may have covered the most important careers of our society. I hope this helps and I'm extremely sorry if I left out a career and I hope nobody gets offended in any way.

Answer:

dont listen to the other dude

Step-by-step explanation:

.help me solve please and thank you✨

Answers

the first one, SAS Postulate

1,220,000,000 in scientific notation?

0.0287 in scientific notation?

Answers

Answer:
= 1.22 × 109
(scientific notation)

= 1.22e9
(scientific e notation)

= 1.22 × 109
(engineering notation)
(billion; prefix giga- (G))

= 1220000000
(real number)
_________________________________________________

Answer:
= 2.87 × 10-2
(scientific notation)

= 2.87e-2
(scientific e notation)

= 28.7 × 10-3
(engineering notation)
(thousandth; prefix milli- (m))

= 0.0287
(real number)

Answer:

1.22*10^9

Step-by-step explanation:

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