PERFECT application of the general equation of things
that are moving up and down in gravity:
H(t) = H₀ + v₀t + 1/2 g t²
t = time after the toss
H(t) = height at any time after the toss
H₀ = height from which it's tossed
v₀ = initial speed
g = acceleration of gravity
I'm going to call 'UP' = the positive direction .
So ...
H₀ = +40 ft
v₀ = +54 ft/sec
g = -32 ft/sec²
When the object hits the ground, H(t) = 0 .
So you have ...
0 = 40 + 54 t - 16 t²
Let me re-write that for you, to make it a
little easier and more familiar:
- 16 t² + 54 t + 40 = 0
Divide each side by -2 : 8 t² - 27 t - 20 = 0
Now go to your toolbox, pull out your quadratic formula,
solve that quadratic equation, and you'll get the usual two
solutions.
The positive one is the one you want.
The negative one refers to time before the toss, and may be discarded.
Al factorizar la expresión dada obtenemos que es igual a x²*(5 - x)*(5 + 5)
Por propiedad de los números reales: tenemos que para a y b dos números reales, se cumple que:
(a² - b²) = (a + b)*(a - b)
Por lo tanto como tenemos: - x⁴ + 25x², ordenamos:
- x⁴ + 25x² = (25*x² - x⁴ = ((5x)² - (x²)²)
Usando la propiedad dada inicialmente: obtenemos que:
((5x)² - (x²)²) = (5x - x²)*(5x + x²)
Sacamos de cada término un factor común "x":
x*(5 - x)*x*(5 + x) = x²*(5 - x)*(5 + 5)
Puedes visitar: brainly.lat/tarea/12523641
Answer:
a. Linear relationship.
Step-by-step explanation:
Negative correlation describes a relationship of two variables in which one variable increases while the other decreases. It shows the the level at which the variables moves in opposite directions to each other.
In the given example, the two variables are inversely proportional. On plotting the variables against each other, it would have a downward slope. The correlation coefficient, r = -0.94, shows that the number of tardies of a student, x, and grade point average (GPA), y, have a linear relationship. As correlation coefficient is a measure of linear relationship, which could be negative, zero, or positive.
Answer:
-2.25, 2.05, 21/10
Step-by-step explanation:
hope this helps if wrong plz tell me if right plz consider giving brainliest
