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:
x=53/9
Step-by-step explanation:
(x-2):5=7:9
9x-18=35
9x=35+18
9x=53
x=53/9
Answer:
Equation of line is y=(12/5)x+2
Step-by-step explanation:
The slope of line AB is -5/12. The line passing X is perpendicular to line AB and hence have a slope of 12/5. The slope intercept form is given by y=mx+c.
Now, point X satisfies the equation. Plugging in the slope of the line we end up with
y=(12/5)*x+c, now to find c
-10=(12/5)*(-5)+c, c=2
Equation of line is y=(12/5)x+2
Answer:
The equal sides' length = 10
Third side length = 18
Step-by-step explanation:
Let the two equal sides' length be "x"
Let the third side length be "y"
Third side (y) is 2 LESS THAN TWICE the equal side, so we can write:
y = 2x - 2
The perimeter is 38. The perimeters is the sum of all three sides. So we can write:
x + x + y = 38
Replacing y with 2nd equation, we have:
x + x + (2x - 2) = 38
Now, we can solve this for x first:
Now, y is:
y = 2x - 2
y = 2(10) - 2
y = 20 - 2
y = 18
The equal sides' length = 10
Third side length = 18
