Answer:
(x - 6)(x + 4) = 0.
Step-by-step explanation:
With your case of x2 - 2x - 24, we have b1+b2 = -2 and b1b2 = 1*(-24) = -24. So the equation x2 - 2x - 24 = 0 becomes (x - 6)(x + 4) = 0.
Answer:
y = 6
Step-by-step explanation:
We need to interpret the question
y varies directly as x
y varies x
To equate it, we need to add a constant K
y = K/x
Using the information we are provided with
y = 9
x = 3/2
insert into
y = Kx
9 = K * 3/2
9 = 3K/ 2
3K = 9 *2
3k = 18
To get K, divide through by 3
3K/3 = 18/3
K = 6
Since we've gotten our K = 6
y = Kx
Using the new information
y = ?
x = 1
K = 6
y = 6* 1
y = 6
The new y = 6 , x =1
Answer:
2.02 m
or 2 m 2 cm
Step-by-step explanation:
Imagine a triangle containing the 40° angle and that this angle is at the left. Then the height of the truck bed is 1.3 m and the "shortest possible length of the ramp" is the hypotenuse of this triangle. We need to find the length of this ramp, that is, the length of the hypotenuse.
The sine function relates this 40° angle and the 1.3 m height of the truck bed:
sin 40° = opp / hyp = 1.3 m / hyp
which can be solved for 'hyp' as follows:
1.3 m
hyp = ----------------- = (1.3 m) / 0.6428)
sin 40°
1.3 m
Thus, the length of the ramp must be less than -------------- or 2.02 m
0.6428
where this last result is to the nearest cm.
If the ramp is shorter the angle of the ramp will be smaller and the ramp angle considered safer.
Answer: 8x = 72
Step-by-step explanation:
and in case you need to go any further at any point, <em>x = 9</em>
