4(3x−1)=3+8x−11

Simplify

4(3x−1)=3+8x−11

(4)(3x)+(4)(−1)=3+8x+−11(Distribute)

12x+−4=3+8x+−11

12x−4=(8x)+(3+−11)(Combine Like Terms)

12x−4=8x+−8

12x−4=8x−8

Subtract 8x from both sides.

12x−4−8x=8x−8−8x

4x−4=−8

Add 4 to both sides.

4x−4+4=−8+4

4x=−4

Divide both sides by 4.

4x/4=−4/4

x=−1

6 0

3 years ago

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Find the height of a triangle that has an area of 54 cm2 with the width 3 cm less than its height.

iren2701 [21]

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 = $\frac{height \times length}{2}$

54 = x(x -3)

$54 = x^2 -3x$

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

#SPJ4

8 0

1 year ago