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4 years ago

Write an equation passing through the point and perpendicular to the given line: (-3,5);y = 3/4x-4

Mathematics

1 answer:

balandron [24]4 years ago

7 0

Hey!

So the first thing we realize is that it says that the equation is perpendicular to the line, meaning that the slope of the line is the negative reciprocal of the slope of the line you are given. Since we are given the slope of this line as 3/4 we can take the negative reciprocal of this to get -(4/3).

Now that we have the slope and a point on the line you can plug those into the equation y = mx + b to find b. The slope of the line is m and the point contains the x and y values.

5 = -(4/3)(-3) + b

5 = 4 + b

1 = b

Since we have the y-intercept and the slope now we can plug that into the slope-intercept form equation to get the equation we need:

y = -(4/3)x + 1

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<img src="https://tex.z-dn.net/?f=65%20-%202%20%5Ctimes%20b%20%3D%2055" id="TexFormula1" title="65 - 2 \times b = 55" alt="65 -

jeka94

Answer:

b = 5

Step-by-step explanation:

- add -65 at the two members:

65-65 -2b = 55-65

-2b = -10

- divide the two members for -2

b = 5

4 0

3 years ago

Read 2 more answers

What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?

Gnoma [55]

Answer:

The equation of line parallel to given line passing through (8,-7) is:

$y = -\frac{5}{4}x+3$

Step-by-step explanation:

Given line is:

5x+4y=16

first of all, we have to convert the equation of given line in slope-intercept form

$4y = -5x+16$

Dividing both sides by 4

$\frac{4y}{4} = -\frac{5x}{4} + \frac{16}{4}\\y = -\frac{5}{4}x+4$

Slope intercept form is:

$y=mx+b$

The slope of given line is:

$m = -\frac{5}{4}$

Let m1 be the slope of line parallel to given line

"The slopes of two parallel lines are equal"

$m = m_1\\m_1 = -\frac{5}{4}$

The equation of line parallel to given line will be:

$y = m_1x+b$

Putting the value of slope

$y = -\frac{5}{4}x+b$

Putting the point (8,-7) in the equation

$-7 = -\frac{5}{4}(8)+b\\-7 = -(5)(2) + b\\-7 = -10+b\\b = -7 +10\\b = 3$

Putting the value of b

$y = -\frac{5}{4}x+3$

Hence,

The equation of line parallel to given line passing through (8,-7) is:

$y = -\frac{5}{4}x+3$

6 0

3 years ago

Tomtit [17]

Answer:

There are 40 musicians that are only marching band.

Step-by-step explanation:

Since we knot that there are 25 musicians that do both that means there is 60 - 25 = 35 musicians who do only jazz band. From his we can answer the question because....

100 = a + b + c

Where "a" is the number of musicians who go only to jazz, "b" is the number of people who do both, and "c" is the number of people that go only to the marching band. From here we can do this....

100 = a + b + c

c = 100 - a - b

Substitute the value we found outa and get.....

c = 100 - 35 - 25

c = 40

3 0

3 years ago

Read 2 more answers

Examine the system of equations.

MrMuchimi

For a system of equations to have no real solution, the lines of the equations must be parallel to each other. The correct option is A.

<h3>What is the System of equations?</h3>

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

If the two of the given system of equations are plotted on the graph, then it can be observed that the two lines have different slopes. Therefore, the correct option is A.

Learn more about System of the equation:

brainly.com/question/12895249

#SPJ1

6 0

2 years ago

Huh?:

12345 [234]

Answer:

Given, Aarochi remembers that his uncle had visited them after 13th, but before 18th of a month.

So, according to Aarochi his uncle came at either of 14th, 15th, 16th or 17th of the month.

Now, Neetu remembers that Aarochi's uncle had visited them after 16th but before 19th i.e., either on 17th or 18th.

From the date mentioned by both there is only one date which is common i.e., 17th.

Hence, Aarochi's uncle visited at 17th of the month.

5 0

3 years ago

Read 2 more answers