<em>BD</em> = 56
Step-by-step explanation:
Step 1: In rectangle, the diagonals are congruent and bisect each other.
So, <em>AC</em> = <em>BD</em>
⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>
⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>
⇒ 2<em>AG</em> = 2<em>GD</em>
⇒<em>AG</em> = <em>GD</em>
⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43
⇒–7<em>j</em> – 5<em>j</em> = 43 – 7
⇒–12<em>j</em> = 36
⇒<em>j</em> = –3
Step 2: <em>BD</em> = 2<em>DG</em>
<em>BD</em> = 2(5<em>j</em> + 43)
= 2(5 (–3) + 43)
= 2(–15 + 43)
= 2 × 28
= 56
Hence, <em>BD</em> = 56.
Lets assume that they are driving at an average of 70mph, and getting gas takes 10 minutes, and stopping to eat takes 30.
t=d/s
t=600/70
t=8.57
Stopping to eat twice is 30 x 2 = 60 (another hour)
and Gas is 10 x 3 = 30 minutes (0.5 hours)
Total time is,
8.57+1+0.5 =10.07
So the trip will take approx 10.7 hours total.
(This is using my assumptions, from my experience!)
Firstly, since these two fractions have the same denominator, add the numerators up: 
While it appears that the answer is -6/4, you can further simplify it by dividing the numerator and denominator by 2: 
<u>Your answer is 
</u>
4x^2 + 5xy - y^2 = 6
Implicitly differentiating both sides,
4(2x) + 5(x y' + y) - 2yy' = 0
where y' = dy/dx
8x + 5xy' +5y -2yy' = 0
combining y' terms
y' (5x-2y) +8x +5y = 0
y'(5x-2y) = -(8x+5y)
dy/dx = -(8x+5y)/(5x-2y)
or
dy/dx = (8x+5y)/(2y-5x)
Point = (0, 56)
Slope = 1
This is where you would use point slope.
y - y1 = m(x - x1)
y - 56 = 1(x - 0)
y - 56 = x
y = x + 56
Answer is A.
