(x+2)(2x-5)=56
2x^2-5x+4x-10=56
2x^2-x-10=56
2x^2-x-66=0
2x^2-12x+11x-66=0
2x(x-6)+11(x-6)=0
(2x+11)(x-6)=0, since x is a measurement x>0 so:
x=6cm
The line y = x + 3 has slope 1, so we look for points on the curve where the tangent line, whose slope is dy/dx, is equal to 1.
y² = x
Take the derivative of both sides with respect to x, assuming y = y(x) :
2y dy/dx = 1
dy/dx = 1/(2y)
Solve for y when dy/dx = 1 :
1 = 1/(2y)
2y = 1
y = 1/2
When y = 1/2, we have x = y² = (1/2)² = 1/4. However, for the given line, when y = 1/2, we have x = y - 3 = 1/2 - 3 = -5/2.
This means the line y = x + 3 is not a tangent to the curve y² = x. In fact, the line never even touches y² = x :
x = y² ⇒ y = y² + 3 ⇒ y² - y + 3 = 0
has no real solution for y.
Answer:
36.58
Step-by-step explanation:
38.3-1.72=36.58
Answer:
A. x = 5
Step-by-step explanation:
3x + 9 = 24
→ Minus 9 from both sides
3x = 15
→ Divide both sides by 3
x = 5
The train traveled 60 miles per hour since 360 miles divided by 6 hours gives you 60 mph
