Answer:
Step-by-step explanation:
Given
y = 3x + 1
Required
Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1
First, the slope of the line has to be calculated;
Th slope of a line is the coefficient of x in its linear equation;
This implies that the slope of y = 3x + 1 is 3
Having calculated the slope of the first line;
The relationship between both lines are perpendicularity; this implies that 
Where m_1 = 3 and m_2 is the slope of the secodnd line
becomes
Divide both sides by 3
The equation of the line can be calculated using the folloing formula
Where 
and
The equation becomes
Cross multiply
Collect like terms
Answer:
V= 105cm^3
Step-by-step explanation:
V=volume
(1/3)V+40=(5/7)V
(5/7)V-(1/3)V=40
(15/21)V-(7/21)V=40
(8/21)V=40
(21/8)(8/21)V=(21/8)(40
V=21*5
V=105 cm3
(1/3)(105)=35, 35+40=75, 75/105=15/21=5/7
The height of a triangle is 9 cm
<h3>
What is Triangle?</h3>
- A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the display style for a triangle with vertices A, B, and C.
- In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space).
- In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle.
- All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.
- Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.
given that
let the height of the triangle be x
then the width is x-3
Area = 
54 = x(x -3)
x = 9
height = 9 cm
width = 6cm
Therefore, the height of a triangle is 9 cm.
To learn more about the triangle with the given link brainly.com/question/11897796
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Answer:
equilateral
Step-by-step explanation:
