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
quester [9]
3 years ago
9

Which of the following give an equation of a line that passes through the point (6/5,-19,5) and is parallel to the line that pas

ses through the organ and point (-2,-12)
A. y= 6x-11
B. y= 6x-19/5
C. y= 6x-6/5
D. y= 6x+1
Mathematics
1 answer:
Ilya [14]3 years ago
6 0
Parallel lines, have the same slope, so the slope of the line through 0,0 and -2,-12, is the same as for the line running through (6/5,-19.5) as well, so what is it anyway?

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 0}}\quad ,&{{ 0}})\quad 
%   (c,d)
&({{ -2}}\quad ,&{{ -12}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-12-0}{-2-0}\implies \cfrac{-12}{-2}\implies 6

so, we're looking for the equation of a line whose slope is 6, and goes through (6/5,-19/5)

\bf \begin{array}{lllll}
&x_1&y_1\\
%   (a,b)
&({{ \frac{6}{5}}}\quad ,&{{ -\frac{19}{5}}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 6
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\left( -\frac{19}{5} \right)=6\left(x-\frac{6}{5}  \right)
\\\\\\
y+\cfrac{19}{5}=6x-\cfrac{36}{5}\implies y=6x-\cfrac{36}{5}-\cfrac{19}{5}\implies y=6x-\cfrac{55}{5}
\\\\\\
y=6x-11
You might be interested in
How do you find the area of the missing side
Margaret [11]

Lets use a rectangle as the example because I dont know what kind of shape you're looking for.

Area of a rectangle = length * width

Length (l) = 62

Width (w) = x

Area = 744

744 = 62 * x

Divide both sides by 62

744/62 = 12

12 = x

That means the width would equal 12

12 * 62 = 744

5 0
3 years ago
What is a quartic function with only two real zeros atx x = 7 and x = 13
Strike441 [17]

Answer:

b

Step-by-step explanation:

B. Y= (x - 10) ^ 4 - 81 OR y = x^4 - 20x +91

4 0
2 years ago
What are the intransitive verbs are in the sentence?
Charra [1.4K]
Verbs is the answer my friend
6 0
3 years ago
The graph above shows the cost of a large pizza
madreJ [45]
I would say the first choose that the vertical axis should use $0.50 intervals instead of $1.
Because this would make it much easier to read and understand and would it would also be more accurate.
5 0
3 years ago
PLS HELP ME!!! which matrix represents the system of equations below {8x-9y+13z=11
Finger [1]

Answer:

The answer is below

Step-by-step explanation:

The system of equations:

8x-9y+13z=11

-8x-5y+5z=15

3x+4y-8z=-10

The equations can be represented in matrix form as:

AX = B

X = A⁻¹B

Therefore:

\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}8&-9&13\\-8&-5&5\\3&4&-8\end{array}\right] ^{-1}\left[\begin{array}{c}11\\15\\-10\end{array}\right]\\

\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{ccc}\frac{1}{19} &-\frac{1}{19}&\frac{1}{19}\\-\frac{49}{380}&-\frac{103}{380}&-\frac{36}{95} \\-\frac{17}{380}&-\frac{69}{380}&-\frac{28}{95} \end{array}\right] \left[\begin{array}{c}11\\15\\-10\end{array}\right]\\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right]=\left[\begin{array}{c}-0.74\\-1.69\\0.13\end{array}\right] \\

4 0
3 years ago
Other questions:
  • How do I create a graph that represents the phrase, 5 is greater than all the number in the solution.
    8·1 answer
  • Find the nth term 14,25,36,47,58,
    14·2 answers
  • The amount of grain in a silo is changing at a rate of –35.2 kilograms per hour.
    7·1 answer
  • A home pregnancy test is not always accurate. suppose the probability that the test indicates that a woman is pregnant when she
    9·1 answer
  • A california condor has a 114 inch wing span. how many feet is that?
    13·2 answers
  • The function f is given in three equivalent forms.
    7·1 answer
  • An orange is shot up into the air with a catapult. The function h given by
    9·1 answer
  • 1. The value of (301)^2 – (300)^2 is
    5·1 answer
  • PLEASE HELP MEE!!! I WILL GIVE YOU THE BRAINLIEST
    8·1 answer
  • A 10-year annuity pays $1,850 per month, and payments are made at the end of each month. If the APR is 12 percent compounded mon
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!