Step-by-step explanation:
A point which is the x-intercept of a relationship must have its y-value as 0.
Hence (4, 0) could represent such an x-intercept. (C)
<span>Actually, every square is a rectangle, since the angles in a square
are always right angles. That's more than saying that a square can be
a rectangle; it is one.
</span><span>
And since squares are rectangles, you know that some rectangles are
squares--namely, the squares are!
</span>
<span>We teach children "this is a
rectangle, that is a square. The rectangle's sides are different
lengths". But when you grow up, it's important to think of the square
as a SPECIAL rectangle, because it is all that a rectangle is, and
more.
</span>
A square is still a rectangle, but it's not just a rectangle, it's a (pedigreed) square.
In summary, yes a rectangle can be a square.
Hope this helped :)
Remember these two combinations: logab=loga+logb, log(a/b)=loga-logb
3logx=logx^3
(1/2)log(x+2)=log(x+2)^(1/2)
2log(z-4)=log(z-4)^2
so the given expression can be combined into log{[(x^3)(z-4)^2]/(x+2)^(1/2)}
Answer:
A) down
B) x intercept (5, 0)
y intercept (0, 80)
C) 144 ft
Step-by-step explanation:
y = Ax² + Bx + C
y = -16x² + 64x + 80
A)
Parabola opens down because A is negative
B)
x intercept (5, 0)
x = (-64 ±√(64² - 4(-16)(80))) / (2(-16))
x = -1 which means if the profile is continuous, the balloon launched one hour ago.
or
x = 5 which means the balloon will be on the ground in 5 hours.
(assuming level ground or no wind at all.
y intercept
y = -16(0)² + 64(0) + 80
y = 80 ft
meaning the balloon is already 80 feet above the ground when we start looking at t = 0
C)
Maximum altitude will occur when the vertical velocity is zero. Velocity is the derivative of position.
x' = -32x + 64
0 = -32x + 64
32x = 64
x = 2 hrs
y = -16(2)² + 64(2) + 80
y = 144 ft
