Answer:
Step-by-step explanation:
Substitution method can be applied in four steps. Step 1: Solve one of the equations for either x = or y = . Step 2: Substitute the solution from step 1 into the other equation. Step 3: Solve this new equation Happy too help!
(x+b/2a)^2-(b^2-4ac)/2a=0
Step 2:
Re-write the expression:
(x+b/2a)^2=(b^2-4ac)/4a^2
Step 3:
get the square root of both sides:
x+b/2a=sqrt[(b^2-4ac)/4a^2]
Step 4:
Simplifying we get:
x+b/2a=sqrt[b^2-4ac]/2a
Step 5
Make x the subject:
x=-b/2a+/-sqrt[b^2-4ac]/2a
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 = 5(x+1)^2 -21
5 {x^2 + 2x } - 16
5 {(x+1)^2 -1 } - 16
5(x+1)^2 -5 - 16
5(x+1)^2 -21
Answer:
Step-by-step explanation:
<u>Sum of the width of the two frames and a gap between them:</u>
<u>The gaps from the left and right are equal to x:</u>
- x = (10 feet - 64 in)/2 = (120 in - 64 in)/2 = 28 in
