Answer:
x = .06418
Step-by-step explanation:
2 + (9.2)−8x = 2.32
(9.2)−8x = 2.32 − 2
log (9.2)−8x = log .32
−8x log 9.2 = log .32
−8x log 9.2
−8 log 9.2
=
log .32
−8 log 9.2
x = .06418
Answer:
Step-by-step explanation:
use the distance formula to find the lengths of all the sides of the triangle, if all of the sides are the same, its an equilateral. If the sides are different in this case it is a right. You can check this by using the Pythagorean theorem. the distance formula is the square root of (x2-x1)^2+(y2-y1)^2
for the coordinates make sure that you don't mix them up, if you pair the wrong coordinates up, it won't work
(x1,y1) (x2,y2)
The square root of 88 is
Working:
As prime factorization of 88 is = 2³*11
here, 88 divides by 2, it becomes= 2*44
44 divides by 2 = 2*22, so 88 becomes 2*2*22
22 divides by 2 = 2*11, so 88 becomes 2*2*2*11
This gives us 2³*11
now, square root of this is:
=
As, =2
Final solution becomes:
=
Answer:
13 students
Step-by-step explanation:
At least 30 and fewer than 67 makes it 30-66
So,
30-66 => 13 students
9514 1404 393
Answer:
3.61 seconds
Step-by-step explanation:
The bird starts 50 feet in the air, so will come down to a height of 40 feet after 3.61 seconds.
We want to solve h = 40.
40 = -16t^2 +55t +50
16t^2 -55t -10 = 0
t = (55 +√(55^2 -4(16)(-10)))/(2(16)) = (55 + √3665)/32 ≈ 3.61060
The bird will be 40 ft above the ground the first time after about 3.61 seconds.