Y = 1/2x + 5...slope here is 1/2. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular slope is -2/1 or just -2 (see how I flipped the slope and changed the sign)
y = mx + b
slope(m) = -2
y int (b) = -2
so ur equation is : y = -2x - 2
Answer:
Step-by-step explanation:
To use the quadratic formula, we must write the quadratic in standard form, viz:
2x^2 - 4x + 7 = 0
Start by calculating the discriminant. That's b^2 - 4(a)(c). Here,
a = 2, b = -4 and c = 7, and so the discriminant for this particular problem is
(-4)^2 - 4(2)(7), or 16 - 56, or 40.
Recall that a positive discriminant indicates two real, unequal roots.
Now we write out the whole quadratic formula, with the appropriate constants inserted (see above):
-(-4) ± √40 4 ± (√4)(√10) 4 ± 2√10
x = --------------------- = ---------------------- = ---------------
2(2) 4 4
2 ± √10
which reduces to x = --------------
2
Answer: x > -7
Step-by-step explanation:
so first, we move the constant to the right.
-3x < 15 + 6
the, we calculate that.
-3x < 21
then, we divide both sides.
solution: x > -7
The answer is 14 weeks
<span>60 + 30w = 480
30w = 480 - 60
30w = 420
w = 420 / 30
w = 14</span>
