1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frutty [35]
3 years ago
8

A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-

value
that is 75% of the y-value of point A. Use point A to write an equation of the line in point-slope form.

?:(
Mathematics
1 answer:
seropon [69]3 years ago
5 0

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

You might be interested in
What is the answer?????/
SCORPION-xisa [38]
The questions is, when z=9, 3z = ? When you multiply 3*9, you get 27
3 0
3 years ago
Please explain as well 3x+5y=21 4x-2y=-244x−2y=−24
hodyreva [135]

Step-by-step explanation:

3x + 5y = 21 * (-4) •••••• -12x -20y = -84 (a)

4x - 2y = -24 * (3) •••••• 12x -6y = -72 (b)

(a) + (b)

-26y = -156

y = 6

3x + 5 * 6 = 21

3x = 21 - 30

3x = -9

x = -3

3 0
3 years ago
An efficiency consultant determines that on the assembly line at Stihl Inc., there is a strong, negative, linear relationship be
nikklg [1K]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that there is a strong, negative, linear relationship between x and y. where, x is the number of consecutive hours a worker has been assembling chainsaws and y is the number of chainsaws he can produce in an hour.

He finds that 70%of the variation in chainsaws produced per hour can be explained by the regression of y on x.

y=-\frac{70}{100}x

y=-0.7x

The slope is -0.7, therefore option B is correct.

8 0
3 years ago
Write a trinomial of degree 35
Virty [35]
We know that
<span>Trinomial of degree 35  means a polynomial
that
a) Having three terms
b) highest degree is 35

examples
x</span>^35+x³+3
x^35+2x-8
x^35+x²+2
etc
8 0
3 years ago
QuizBIGPOINT
lianna [129]

The number of permutations of the problem is

  1. This = 24
  2. Outfit = 360

<u>。。。。。。。。。。。。。。。。。。。。。。。。。。。。。</u>

<u>\:</u>

<h2>Combination</h2>

\:

Combinations are the number of ways to choose members from a certain number, namely from members of a set, combinations can also be interpreted as many ways to make subsets, namely with a certain number of members, namely from members of a set, if a set has n members then the selection of r members, and the combination of n is where r is less than n.

\:

<h3>The Formula : </h3>

\:

<h2>\frac {n!}{k! (n-k)!}</h2>

\:

<h2>Permutation</h2>

\:

Permutations are a way to determine the number of arrangements that occur by paying attention to the order. So in permutations, position/order is very important, namely AB is considered different from BA (AB ≠ BA). Permutation formula

\:

<h3>The Formula :</h3>

\:

\frac {n!}{k!} (With Double Elements)

n! (Without Double Elements)

\:

<h2>Factorial</h2>

\:

The factorial of a natural number is the successive multiplication of a natural number that begins with the number one and arrives at the natural number, the factorial is used in calculating combinations, probabilities, and permutations.

\:

<h3>For example</h3>

\:

  • 》2! = 1 × 2
  • 》3! = 1 x 2 x 3
  • 》4! = 1 x 2 x 3 x 4
  • 》5! = 1 x 2 x 3 x 4 x 5
  • 》6! = 1 × 2 × 3 × 4 × 5 × 6
  • 》7! = 1 × 2 × 3 × 4 × 5 × 6 × 7
  • 》8! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8
  • 》9! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9
  • 》10! = 1 × 2 × 3 × 4 × 5 × 6 × 7 × 8 × 9 × 10

\:

The following is an example of a factorial that does not involve mixed arithmetic operations, so if you want to add it up we just need to calculate it like a normal number, a factorial number that only multiplies the difference between a factorial number that is added up by addition, subtraction, multiplication, division, for example see below.

\:

6! x2! - 3! : 4!

\:

The example above is a mixed arithmetic operation that contains multiplication, subtraction, and division. Remember that in mixed arithmetic operations, multiplication/division must be completed before addition/subtraction.

\:

<h3>The Formula : </h3>

\:

n! (Combined Multiplication)

\:

<h2>Place Filling Rules</h2>

\:

The Place Fill Rule is a method or method that can be used to determine the number of ways an object occupies its place. The filling slots rule is a method of calculating how many possible ways there are in an experiment or event. If a first event can be done in m different ways and the second event can be done in a different way and so on until the last event in k.

\:

<h3>The formula</h3>

\:

n1 × n2 × n3 × ... × nr

\:

<u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u><u>。</u>

<h2><u>Question</u></h2>

Find the number of permutations of letters of the word

- this

- outfit

\:

<h2><u>Answer</u></h2>

"Number One"

=》This = Four Letters ( 4! )

P = 4!

P = 1 × 2 × 3 × 4

P = 2 × 3 × 4

P = 6 × 4

P = 24

==========

"Number Two"

=》Outfit = Six Letters ( 6! )

=》Outfit = Two Letters The Same ( "T" ) = 2!

P = \frac {1×2×3×4×5×6}{2×1}

P = \frac {2×3×4×5×6}{2}

P = \frac {6×4×5×6}{2}

P = \frac {24×5×6}{2}

P = \frac {120×6}{2}

P = \frac {720}{2}

P = 360

\:

<h2><u>Conclusion</u></h2>

So, the number of permutations of the problem is

  1. This = 24
  2. Outfit = 360

\:

<u>。。。。。。。。。。。。。。。。。。。。。。。。。。。。。</u>

<h2>Learn More</h2>

\:

  1. ➽ brainly.com/question/24659851
  2. ➽ brainly.com/question/14767366
  3. ➽ brainly.com/question/1216161

\:

<h2>Answer Detail</h2>

\:

  • ➽ Subject: Mathematics
  • ➽ Class : 12
  • ➽ Chapter : 7 - The Rule of Counting:
  • ➽ Maple Code
  • ➽ Categorization code : 12.2.7
  • ➽ Keywords : This, Outfit

5 0
3 years ago
Other questions:
  • Refer to the figure below to complete the following item. Given: Quadrilateral ROSE is trapezoid with median If MN = 24 and ES =
    9·2 answers
  • In what different ways can 45 be written as the product of two positive integers?
    14·2 answers
  • Write 30/100 as a money amount and as a decimal in terms of a dollar
    15·2 answers
  • Cual es resultado de 8.5 × 10^4 - 3.0 × 10^3
    5·1 answer
  • Which is bigger 5miles and 8 ft or 8,800yards
    6·1 answer
  • Find the missing side lengths of these triangles
    15·1 answer
  • What is the answer to v+6.6=32.1
    13·1 answer
  • Find the product of (p+3q2)pq
    6·1 answer
  • Representative money has value because:
    12·1 answer
  • Jeremy earns extra money selling concessions during school sports events. On Thursday, he spent $126.78 at the local whole sale
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!