Answer:
The equation of line perpendicular to given line passing through (3,4) is:

Step-by-step explanation:
Given equation of line is:

Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.
So,

The standard form of slope-intercept form of equation is:

Here, the co-efficient of x is the slope of the line.
So the slope of given line is: 2/3
m = 2/3
The product of slopes of two perpendicular lines is -1
Let m1 be the slope of line perpendicular to given line
Then

The equation of perpendicular will be:

Putting the value of slope

To find the value of b, putting (3,4) in the equation

So the equation of line perpendicular to given line passing through (3,4) is:

Answer:
143 should be correct
Step-by-step explanation:
hope this helps
Answer:
D. cosine
Step-by-step explanation:
As it can be seen in the figure, the triangle ABC is a right-angled triangle with Angle C = 90 degree.
In a right angle triangle, there is a formula as following:
<em>cosine (of an acute angle) = length of adjacent side/ length of hypotenuse</em>
In the figure, the point of angle B and length of hypotenuse AB are given.
We have to calculate x - length of the given side. As BC is the adjacent side of angle B
=> we can use the above formula to calculate x
So that we can use cosine
-7/16 - 1/4 - 5/16
1. -7/16 - 4x1/4x4 - 5/16
2. -(7/16 + 4/16 + 5/16)
3. -7 + 4 + 5/16
that will add up to be 16/16 then cancel them out and you get for your answer -1