Step 1: Subtract 13 from both sides.
<span><span><span><span>x^2</span>+<span>6x</span></span>−13</span>=<span>13−13</span></span><span><span><span><span>x^2</span>+<span>6x</span></span>−13</span>=0</span>
Step 2: Use quadratic formula with a=1, b=6, c=-13.
<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(6)</span></span>±<span>√<span><span><span>(6)</span>2</span>−<span><span>4<span>(1)</span></span><span>(<span>−13</span>)</span></span></span></span></span><span>2<span>(1)
</span></span></span></span><span>x=<span><span><span>−6</span>±<span>√88</span></span>2
</span></span><span><span>x=<span><span>−3</span>+<span><span><span>√22</span><span> or </span></span>x</span></span></span>=<span><span>−3</span>−<span>√22
</span></span></span>Answer would be
<span><span>x=<span><span>−3</span>+<span><span><span>√22</span><span> or </span></span>x</span></span></span>=<span><span>−3</span>−<span>√<span>22</span></span></span></span>
Let, the speed of boat = x
Speed of current = y
So, x + y = 280/7
x + y = 40 ---- first equation
x - y = 280/14
x - y = 20
x = 20 + y
Substitute this value of x in first equation,
20 + y + y = 40
2y = 40 - 20
y = 20/2
y = 10
Substitute this in first equation,
x + 10 = 40
x = 30
In short, Speed of Boat = 30 mph, & speed of current = 10 mph
Hope this helps!
Answer:
The information above is just a part of a long question.The main question is found in the attached as well as the answer following a step by step methodical approach.
Step-by-step explanation:
Take a good at the full question before venturing into the statements prepared so as to have a thorough understanding of the requirements and how the answers provided have touched upon the requirements.
<h2>
<u>22 minutes 44 seconds</u></h2>
Step-by-step explanation:
1st horse time taken = 65 min/job; invert to get rate = 1/65 job/min
2nd horse time taken = 35 min/job ; invert to get rate = 1/35 job/min
Together Time taken = <em>n</em> min/job ; invert to get rate = 1/<em>n</em> job/min
------------------
Equation :-
Rate + Rate = together rate
1/65 + 1/35 = 1/n
-----------------------------
35<em>n</em> + 65<em>n</em> = 35*65
-----------------
100<em>n</em> = 2275
<em>n</em> = 22.75 minutes = <u>22 </u><u>minutes</u><u> 45 </u><u>seconds</u>
Hope it helps you...
Pls mark brainliest if it helps you...
(Answered by Benjemin)
The fraction 5/8 is also the equation of 5 divided by 8, so we just do 5 divided by 8, which is
0.625 as a decimal.
