Answer:
x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
Step-by-step explanation:
Solve for x:
x + 4 + 1/x = (10 x)/7
Bring x + 4 + 1/x together using the common denominator x:
(x^2 + 4 x + 1)/x = (10 x)/7
Cross multiply:
7 (x^2 + 4 x + 1) = 10 x^2
Expand out terms of the left hand side:
7 x^2 + 28 x + 7 = 10 x^2
Subtract 10 x^2 from both sides:
-3 x^2 + 28 x + 7 = 0
Divide both sides by -3:
x^2 - (28 x)/3 - 7/3 = 0
Add 7/3 to both sides:
x^2 - (28 x)/3 = 7/3
Add 196/9 to both sides:
x^2 - (28 x)/3 + 196/9 = 217/9
Write the left hand side as a square:
(x - 14/3)^2 = 217/9
Take the square root of both sides:
x - 14/3 = sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
x = 14/3 + sqrt(217)/3 or x - 14/3 = -sqrt(217)/3
Add 14/3 to both sides:
Answer: x = 14/3 + sqrt(217)/3 or x = 14/3 - sqrt(217)/3
ANSWER: It is false that All equations are identities, but not all identities are equations, as all identities are equations, but only some equations are identities.
HOPE THIS HELP
Answer: The helicopter is 8 miles from the landing pad.
The helicopter must fly to east to reach the landing pad.
Step-by-step explanation:The helicopter flies north which is upward for 4 miles, the southwest is at an angle downwards to the left for 9 miles. Overall the right hand triangle is formed, therefore we can use Pythagoras to solve for X.
r^2=x^2+y^2
r = 9
y = 4
Then x= 8.06
We moved y to the other side and solve for x and we placed square roots on both sides to solve for x.
The helicopter must move straight to the right to reach landing pad.
Answer:
38 degrees
Step-by-step explanation:
this is an isosceles triangle, meaning that the base angles are congruent.
the total triangle is equal to 180
so the equation would be: x=180 - (71+71)
evaluate:
x=180-142
x=38 degrees
Hope this helps :)
Answer:
the correct answer is C
Step-by-step explanation:
