This is the equation of an upside down parabola, so the maximum height will be at the vertex. To find the vertex, we'll use the formula for the x-coordinate and then solve for the y-coordinate.
Plugging this into the given formula:
Since it asks us to round, the maximum height would be 20 yards. To find how far the football travels in total, we need to set the equation equal to 0 and find the roots:
Then by the zero product property (or the no zero divisors rule), we have:
(this is the x value where the ball is kicked from)
So the ball travels 51 yards in total.
The trick here is to find the vertex for its highest point and find the root that is of the greatest value for the final distance.
The nice thing about this function is that it has been written in what we call vertex form. This means that the maximum (or minimum if the parabola opens upwards) is given to us at the end of the function. In this case it is 6. We know that the graph starts at (0,0) (because the cangaroo jumps starting at no height with no distance so far) and so if the x-value given for the vertex is 14, we know that if we double that value, it will give us the second root. The total distance jumped is 28m.
Highest point: 6m
Total distance: 28m
Answer:
No, the AA similarity postulate cannot be used because a reflection over line f will establish that ∠ABC and ∠DEC are not congruent.
Step-by-step explanation:
Data provided in the question
m∠ABC = 45°
m∠ECD = 45°
Based on the above information, the ΔBAC ~ ΔEDC could be determined by seeing the given options
As we can see that from the last option the AA could not be postulated as it creates a reflection over the line plus the ∠ABC and ∠DEC is not congruent
Therefore the last option is correct
We know that
1 liter------------> is equal to 1000 ml
if for one cake--------------> are required 80 milliliters of lemon juice
<span> for 11 cakes--------------> X
X=11*80---------> 880 ml
</span>if for one cake--------------> are required 240 milliliters of plain yogurt
for 11 cakes--------------> X
X=11*240---------> 2640 ml
<span>liters of lemon juice needed to make 11 cakes
880 ml/1000------> 0.88 lt
</span><span>liters of yogurt needed to make 11 cakes
2640 ml/1000--------> 2.64 lt
the answer is
are needed 0.88 lt </span>of lemon juice and 2.64 lt of yogurt to make 11 cakes<span>
</span>
Answer:
6cm
Step-by-step explanation:
Area of a square =
Where s = one side
s = ?
Square root both sides
