Answer:
<u>(3 </u>x 6) + (2 x<u> 6)</u>
Step-by-step explanation:
<span>Traveled Downstream a distance of 33 Mi and then came right back. If the speed of the current was 12 mph and the total trip took 3 hours and 40 minutes.
Let S = boat speed in still water then (s + 12) = downstream speed (s -12) = upstream speed
Given Time = 3 hours 40 minutes = 220 minutes = (220/60) h = (11/3) h Time = Distance/Speed
33/(s +12) + 33/(s-12) = 11/3 3{33(s-12) + 33(s +12)} = 11(s+12) (s -12) 99(s -12 + s + 12) = 11(</span> s^{2} + 12 s -12 s -144) 99(2 s) = 11(s^{2} -144) 198 s/11 = (s^{2} -144) 18 s = (s^{2} -144) (s^{2} - 18 s - 144) = 0 s^{2} - 24 s + 6 s -144 =0 s(s- 24) + 6(s -24) =0 (s -24) (s + 6) = 0 s -24 = 0, s + 6 =0 s = 24, s = -6 Answer) s = 24 mph is the average speed of the boat relative to the water.
Answer:
y - 5 = 3(x - 4)
General Formulas and Concepts:
<u>Algebra I</u>
Point-Slope Form: y - y₁ = m(x - x₁)
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 3
Point (4, 5)
<u>Step 2: Write equation</u>
Point-Slope Form: y - 5 = 3(x - 4)
a) To find the missing side length on triangle A, we can use the Pythagorean theorem.
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = 5 cm
5 and 12 = 5 and 12
b) The two triangles are congruent because they have two side lengths in common. If at least two side lengths are the same on two triangles, then they are congruent. In addition, these triangles have one angle in common as well.
Hope this helps!! :)
I think that the answer is D
