Let ax+by=c be the given(known) line
slope of this line (m₁) = -a/b

Let m₂ be the slope of required line
Since given line and required line are perpendicular to each other, the product of their slopes must be equal to -1
Therefore, m₁.m₂ = -1
(-a/b)m₂ = -1
m₂ = b/a

Therefore, by slope-intercept form, line perpendicular to given line can be given by,

y=m₂x+c
y=(b/a)x+c
Therefore, ay-bx=c
or bx-ay+c = 0
Where c is constant and it can be determined according to the conditions given in questions.
Therefore the required line is,

bx-ay+c=0

6 0

3 years ago

How to determine the amount of zeroes of a function?

My name is Ann [436]

You can determine this by doing b² - 4ac (using the values in the quadratic function) and see if it is greater than zero, less than, or equal to. If it is greater, then it has 2 x-intercepts or zeroes. If it equals zero, then you have one x-intercept. If it equals less than zero, you have no x-intercepts.

4 0

4 years ago

7th grade math find the volume of the solid

frosja888 [35]

Answer:

252 Inches cube

Step-by-step explanation:

So for this question you need to find the area of cross section which is the H,

2 Times (3 Inches by 7 Inches) {The 2 same shape}

3 Inches by 7 Inches {The middle shape}

For the H Shape = 63 Inches Square

Then you'll time the lenght which is given 4 Inches

63 Inches square ×4 Inches

252 Inches Cube

The volume of this shape will be 252 Inches cube

Hope this helps dont hesitate to ask any question!!

Mark me as brainliest aslo appreciated!! Tq

3 0

3 years ago