Answer:
3mph
Step-by-step explanation:
Boat speed x
current speed 2
against current x-2 mph
with current x+ 2 mph
Distance= 5 miles
Time against + time with = 6 hours
5 /( x + 2 ) + 5 /(x - 2 ) = 6
LCD = (x - 2 ) ( x + 2 )
5 *( x - 2 ) + 5 (x + 2 ) = 6
5 x - 10 + 5 x + 10 = 6 ( x ^2 - 4 )
10 x = 6 x ^2 - 24
6 x ^2 - -10 x - 24
Find the roots of the equation by quadratic formula
a= 6 , b= -10 , c= -24
b^2-4ac= 100 + 576
b^2-4ac=676
x1=(10+26)/12
x1=3
x2=(10-26)/12
x2= -1.33
Ignore negative value
Speed of boat is 3 mph
Answer:
The perimeter is 52
Step-by-step explanation:
The area is 36x^2 -60x+25
We set this equal to 0 to find the length and width
A= 36x^2 -60x+25
We notice that this is a perfect square trinomial
(a^2 -2ab-b^2) = (a-b)^2
let a = 6x and b=5
A=(6x-5) (6x-5)
The length and width are the same since is it a square (we know it is a square so they have to be equal)
The perimeter of a square is
P =4s
P =4 (6x-5)
Distribute the 4
= 24x -20
Let x =3
P = 24(3) -20
=72 -20
= 52
The perimeter is 52
Answer:
17.473 = 17
Step-by-step explanation:
The answer would be 17.473 but to the nearnest whole number it would be 17. To round 17.473 to the nearest whole number consider the tenths’ value of 17.473, which is 4 and less than 5. Therefore, we have to round down: the whole number ones place value of 17.473, 17, remains 17, and the decimal point and all digits (.473) are removed
Answer:
Consistent dependent
3x - 3y = 6 and -x + y = -2
Step-by-step explanation:
<u>Inconsistent</u>: parallel lines, no solutions
<u>Consistent dependent</u>: same line, infinite solutions
<u>Consistent independent</u>: intersects at one point, one solution
Therefore, the pair of lines are Consistent dependent
From inspection of the diagram:
The lines will have equivalent equations.
Therefore, the solution is 3x - 3y = 6 and -x + y = -2
Because:
3x - 3y = 6 ⇒ y = x - 2
-x + y = -2 ⇒ y = x - 2
Answer:
The number is 17
Step-by-step explanation:
Let the number be x;
2(7) - 
x = 4 + 
x
Simplifying gives,
14 - 0.25x = 4 + x
14 - 4 = x + x
10 = 
x
10 = 
x
x = 120 ÷ 7 = 17
