Answer:
79 feet per second
Step-by-step explanation:
Convention: upwards positive
s = ut + 0.5at²
94 = 2u + 0.5(-32)(2²)
2u = 158
u = 79 feet/second
8y - 2 = - 18
8y = - 16
y = - 2
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Yvaries as x means
y=kx where k is constant
y=2.5
x=6
find k
2.5=k6
divide bot sides by 6
2.5/6=k (leave as that an simplfy later)
if x=4, what is y
y=(2.5/6)*4
y=10/6
y=5/3
y=1 and 2/3
Answer:
The roots of given quadratic equation lies from 
Step-by-step explanation:
Given as :
The quadratic equation is x² - x -6 = 0
The quadratic equation is in form of ax² + bx +c = 0
Let x1 and x2 be the roots of equation
Sum of roots
So,
And products of roots is x1 × x2 = 
So,
Or, x1 + x2 = 1 ......A
And x1 × x2 = 
Or, x1 × x2 = - 6
Now, (x1 - x2)² = (x1 + x2)²+ 4×x1×x2
Or, (x1 - x2)² = (1)²+ 4×6
Or, (x1 - x2)² = 25
So , x1 - x2 =
= 5 ......B
Now solve eq A and eq B
Or, (x1 + x2) + (x1 - x2) = 1 +5
Or, 2 x1 = 6
∴ x1 = 3 And x2 = - 2
Hence The roots of given quadratic equation lies from
Answer