Answer:
A parabola has the form:
y = a*x^2 + b*x + c
Where a is the leading coefficient.
If a is positive, the parabola opens up.
If a is negative, the parabola opens down.
a is the factor that multiplies the part that grows the fastest in the equation, thus, if a is a larger value (in absolute value) then the parabola will grow faster (then the parabola will be narrow)
if a is smaller (again, in absolute value) the parabola will grow slower, then the parabola will be wider.
With this, we can conclude that:
a = -4
is the largest value of a in absolute value.
Then this corresponds to the thinner parabola (the one at the left)
a = -1
Is the middle value of a, then this corresponds to the graph of the middle
a = -0.25
Is the smallest absolute value of a, then this one corresponds to the widest graph (the first one at the left)
Answer: 12
Step-by-step explanation:
law of cosines states that f^2 = t^2 + p^2 - 2tp cos(F)
so f^2 = 5^2 + 7^2 - 2*5*7*cos(175)
f^2 = 74 - (-69.7336)
f^2 = 143.7336
f = 11.9889
which rounds to 12
Answer:
6
Step-by-step explanation: We observe that if 288 is multiplied by (2 x 3), then its prime factors will exist in triples. Thus, the required smallest number by which 288 be multiplied to make it a perfect cube i: (2 x 3)=6. 1,331 is a perfect cube.
Answer:
We verified that the equation 
has both sides equal.
Step-by-step explanation:
We need to solve and verify:
Solving:
Converting into improper fractions
Converting division sign into multiplication and reversing 3/2 i.e
Now simplifying
So, We verified that the equation has both sides equal.
