Answer:
The answer to your question is: 14 + 2√40 = 26.6 units
Step-by-step explanation:
Data
A ( -5, 4) B (-3, -2) C (4, -2) D (2, 4)
Formula
d = √(x2 - x1)² + (y2 - y1)²
Perimeter = dAB + dBC + dCD + dAD
Process
dAB = √(-3 + 5)² + (-2 - 4)²
dAB = √(2)² + (-6)²
dAB = √4 + 36
dAB = √40 units
dBC = √(4 + 3)² + (-2 + 2)²
dBC = √(7)²
dBC = √49
dBC = 7 units
dCD = √(2 - 4)² + (4 + 2)²
dCD = √(2)² + (6)²
dCD = √40 units
dAD = √(2 + 5)² + (4 - 4)²
dAD = √49
dAD = 7 units
Perimeter = √40 + 7 + √40 + 7
Perimeter = 14 + 2√40 = 26.6 units
Answer:
y = -x + 9.
Step-by-step explanation:
The slope = rise run
= 9 /-9
= -1.
The y intercept is at y = 9 so the equation is:
y = -x + 9.
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
The area will be increased by 4 times and volume will be increased by 8 times
Area of rectangular prism = 2 (lb+bh +hl)
When sides are doubled, Area = 2 (2l * 2b +2b *2h + 2h*2l)
= 4 * 2 (lb+bh +hl)
Volume of rectangular prism = lbh
When sides are doubled, Volume = 2l * 2h * 2b = 8 lbh
Correct so far. Finish up.
.. (x +3)(x)(x -1) = 1170
.. x^3 +2x^2 -3x -1170 = 0 . . . . . . one sign change ⇒ one positive real solution
This is a cubic equation with one positive real solution. There are several possible approaches to solving this. My favorite is to let a graphing calculator show me the solution.
You can also factor 1170 = 13*10*9, so x=10.
The width of the prism is 10 feet; the length is 13 feet; the height is 9 feet.