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
Irina18 [472]
3 years ago
10

What is an equation of the line that passes through the point

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Answer:

(y+7)=5/6(x+6)

Step-by-step explanation:

For this problem we need to use Point-Slope Form to write an equation.

We already have the point, (-6,-7), so all we need now is the slope, which we know is perpendicular to the line 6x+5y=30.

First, let's find the slope of 6x+5y=30 by converting it into Slope-Intercept Form, which is y=mx+b. m is the slope.

6x+5y=30

5y=-6x+30

y=-6/5x+6

So the slope of this line is -6/5, but we need the slope of the line is perpendicular to this line.

When a line is perpendicular to another, their slopes are negative reciprocals to one another, or opposite reciprocals. For example, a line that is perpendicular to another line that has a slope of 3/4 will have a slope of -4/3. Flip the numerator and denominator to find the reciprocal and add a negative.

x

So the negative reciprocal of -6/5 is 5/6, so that is our slope.

Now we can assemble our equation, here is the Point-Slope Form:

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

again, m is our slope.

y_{1} and x_{1} represent the coordinates of the point that this line passes through, (-6, -7).

Let's plug in the y, x, and m values:

(y-(-7))=5/6(x-(-6))

Simplify:

(y+7)=5/6(x+6)

That is our final answer.

You might be interested in
Hank and his two friends are attending a concert. They purchase tickets and parking for a total of 129.00 they decide to split i
Irina-Kira [14]

Answer:

$43.00

Step-by-step explanation:

$129.00 / 3=$43.00

3 0
3 years ago
WHAT IS THE VALUE OF x IN CENTIMETERS <br> A. 30cm<br> B. 8cm<br> C. 10.8cm<br> D.22.5cm
Katarina [22]

Answer:

D)22.5cm

CB/BA=HG/13.5

CB=15cm,BA=9cm,HG=x and GF=13.5

15/9=x/13.5(divided by 13.5both sides)

x=22.5cm

3 0
3 years ago
Find all values of the angle θ (in radians, with 0 ≤ θ &lt; 2π) for which the matrix a = cos θ −sin θ sin θ cos θ has real eigen
harina [27]

The matrix

A=\begin{bmatrix}\cos\theta&-\sin\theta\\\sin\theta&\cos\theta\end{bmatrix}

has eigenvalues \lambda such that

\det(A-\lambda I)=\begin{vmatrix}\cos\theta-\lambda&-\sin\theta\\\sin\theta&\cos\theta-\lambda\end{vmatrix}=0

(\cos\theta-\lambda)^2+\sin^2\theta=0

(\cos\theta-\lambda)^2=-\sin^2\theta

\cos\theta-\lambda=\pm\sqrt{-\sin^2\theta}

\lambda=\cos\theta\pm\sqrt{-\sin^2\theta}

\sin^2\theta\ge0 for all values of \theta, so we need to have \sin\theta=0 in order for \lambda to be real-valued. This happens for

\sin\theta=0\implies\theta=n\pi

where n is any integer, and over the given interval we have \theta=0 and \theta=\pi.

4 0
3 years ago
Suppose you want to use a confidence interval to estimate the true mean number of calories found in candy bars. It is known that
svetlana [45]

Answer:

See explaination.

Step-by-step explanation:

Sampling distribution can be defined as a probability distribution of a statistic which is gotten through a large number of samples usually drawn from a specific population.

The sampling distribution of a given population can be described as the distribution of frequencies of a range of different outcomes that could possibly occur for a statistic of a population.

Please refer to attachment for a step by step technique to prove How many candy bars must you have in order to be sure the sampling distribution of x is normal.

5 0
3 years ago
Read 2 more answers
Answer the following! this is science!
diamong [38]
Can’t see it at all post it again
6 0
2 years ago
Other questions:
  • Robbie made 2 point and 3 point baskets last night for a total of 45 points
    9·1 answer
  • Line segment AB is dilated to create line segment A’B’ using point Q as the center of dilation what is the scale factor
    10·1 answer
  • For every 12 students that wore sneakers, there were 9 students that wore boots. How many students wore sneakers if 24 students
    5·2 answers
  • Please help me fill this out !!! :(
    11·1 answer
  • The table below represents the displacement of a fish from its reef as a function of time:
    7·1 answer
  • Melinda will take 15 quizzes this semester. She would like to score a B or better on at least 90% of them. So far, she has gotte
    7·2 answers
  • What is the sum of 2/11’ 2/7’ and 1/11’?
    15·1 answer
  • Question ^^^^^^^^^^^^^^^^6
    7·2 answers
  • 5x-3(x-2)=4 <br><br> This is for Algebra 1
    12·1 answer
  • For parties of six or more, a restaurant adds a 20% gratuity (or tip). Ifa
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!