Answer:
64 ft
Step-by-step explanation:
The shadow of the post is 12 feet long. The shadow of the flagpole is 96 feet long.
The shadow of the flagpole is 8 times longer than the shadow of the post.
8 x 8 = 64
Hello :
y= -x²-4x-1
y = - (x²+4x+1)
y = - ((x²+4x+4)-4+1)
y = - ((x+2)²-3)
y = -(x+2)²+3 the vertex is A(-2 ; 3)
Answer:
271
Step-by-step explanation:
4 hours and 31 minutes = 240 + 31 = 271 minutes
So remember that the distance formula is
.
1.
![\sqrt{(4-4)^2+(-2-(-5))^2}\\ \sqrt{0^2+3^2}\\ \sqrt{0+9}\\ \sqrt{9}\\ 3](https://tex.z-dn.net/?f=%20%5Csqrt%7B%284-4%29%5E2%2B%28-2-%28-5%29%29%5E2%7D%5C%5C%20%5Csqrt%7B0%5E2%2B3%5E2%7D%5C%5C%20%5Csqrt%7B0%2B9%7D%5C%5C%20%5Csqrt%7B9%7D%5C%5C%203%20)
Distance between (4,-5) and (4,-2) is 3 units.
2.
![\sqrt{(1-(-1))^2+(1-4)^2}\\ \sqrt{2^2+(-3)^2}\\ \sqrt{4+9}\\ \sqrt{13}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%281-%28-1%29%29%5E2%2B%281-4%29%5E2%7D%5C%5C%20%5Csqrt%7B2%5E2%2B%28-3%29%5E2%7D%5C%5C%20%5Csqrt%7B4%2B9%7D%5C%5C%20%5Csqrt%7B13%7D%20)
Distance between (1,1) and (-1,4) is √13 (or 3.61 rounded to the hundreths) units.