Answer:
<h2><em>
2x-4</em></h2>
Step-by-step explanation:
Area of a rectangle = Length * Width
Given parameters
Area A = 8x2 – 10x – 12
Length of the rectangle = 4x+3
Required
Width of the rectangle.
Substituting the given parameters into the formula
8x2 – 10x – 12 = (4x+3)*width
width = 8x2 – 10x – 12
/4x+3
S
Factorizing the numerator
8x² – 10x – 12
= 2(4x²-5x-6)
= 2(4x²-8x+3x-6)
= 2(4x(x-2)+3(x-2))
= 2(4x+3)(x-2)
Width = 2(4x+3)(x-2)/4x+3
Width = 2(x-2)
Width = 2x-4
<em>Hence the width of the rectangle is 2x-4</em>
Answer:
Your answer is -6.
Step-by-step explanation:
Simplify 2(2x+3) to get 4x+6
Then simplify -6(x+9) to get -6x-54
Now you have 4x+6=-6x-54
Move all of the coefficients to one side:
10x+6=-54
Move all of the constants to the other side:
10x=-60
Divide each side by 10:
10/10x=-60/10
To get your answer of -6.
Answer:
x=y-6
Step-by-step explanation:
First, flip the equation.
x+6=y
Finally, add -6 to both sides.
x+6+−6=y+−6
x=y−6
The third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
We are given that:
2nd term of geometric progression = 1 / 18
5th term = 4 / 243
Now, we can also write it as:
2nd term = a r ( where r is the common ratio and a is the initial term.)
a r = 1 / 18
5th term = a r⁴
a r⁴ = 4 / 243
Now divide 5th term by 2nd term, we get that:
a r⁴ / a r = ( 4 / 243 ) / ( 1 / 18 )
r³ = 72 / 243
r³ = 8 / 27
r = ∛ (8 / 27)
r = 2 / 3
3rd term = a r²
a r² = a r × r
= 1 / 18 × 2 / 3
3rd term = 1 / 27
Therefore, the third term of the geometric progression will be 1 / 27 with common ratio 2 / 3.
Learn more about geometric progression here:
brainly.com/question/24643676
#SPJ4
Your question was incomplete. Please refer the content below:
The 2nd and 5th term of a GP are 1/18 and 4/243 respectively find the 3rd term
Answer:
Rigid transformations are ways to move an object while not changing its shape or size. A
translation (slide) moves . object vertically. horizontally or both. A reflection (flip) moves an object across a line of reflection as in a mirror. A rotation (tum) moves an object clockwise or
object across a line of reflection as in a mirror. A rotation (tum) moves an object clockwise or
counterclockwise around s point.
Step-by-step explanation:
