Formula for perimeter ;
P = length + length + width + width
P = 2l + 2w
l = -4 + 5w
l = 5w - 4
substitute into equation of perimeter
292 = 2(5w - 4) + 2w
292 = 10w - 8 + 2w
292 + 8 = 10w + 2w
300 = 12w
25 = w
substitute into eqution to find the length;
l = 5(25) - 4
l = 125 - 4
l = 121
therefore, the width is 25 and the length is 121
hope that helps, God bless!
Answer:
Step-by-step explanation:
α + β = -b/a
αβ = c/a
α² + β² = (α + β)² - 2αβ
![= (\frac{-b}{a})^{2}-2\frac{c}{a}\\\\= \frac{b^{2}}{a^{2}}-\frac{2c}{a}\\\\=\frac{b^{2}}{a^{2}}-\frac{2c*a}{a*a}\\\\=\frac{b^{2}-2ca}{a^{2}}](https://tex.z-dn.net/?f=%3D%20%28%5Cfrac%7B-b%7D%7Ba%7D%29%5E%7B2%7D-2%5Cfrac%7Bc%7D%7Ba%7D%5C%5C%5C%5C%3D%20%5Cfrac%7Bb%5E%7B2%7D%7D%7Ba%5E%7B2%7D%7D-%5Cfrac%7B2c%7D%7Ba%7D%5C%5C%5C%5C%3D%5Cfrac%7Bb%5E%7B2%7D%7D%7Ba%5E%7B2%7D%7D-%5Cfrac%7B2c%2Aa%7D%7Ba%2Aa%7D%5C%5C%5C%5C%3D%5Cfrac%7Bb%5E%7B2%7D-2ca%7D%7Ba%5E%7B2%7D%7D)
Answer:
5.53 seconds.
Step-by-step explanation:
The equation of motion is
d = 4.9t^2 so
150 = .9 t^2
t^2 = 150 / 4.9
t^2 = 30.612
t = 5.53 seconds.
The pattern is 4, 12, 36, 108, 324, 972, 2,916
4+8=12
12+24= 36
36+72= 108
108+216=324 .... and so on