The quadratic formula is .
From the problem, a is 1, b is -1, and c is 12. Plugging in these values gives:
Because there is a square root of a negative number, there is no solution.
Step-by-step explanation:
We have been given that AE=BE and .
We can see that angle CEA is vertical angle of angle DEB, therefore, as vertical angles are congruent.
We can see in triangles CEA and DEF that two angles and included sides are congruent.
or
Therefore, by ASA postulate.
Since corresponding parts of congruent triangles are congruent, therefore CE must be congruent to DE.
Answer:
53
Step-by-step explanation:
To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Answer:
300
Step-by-step explanation:
17/100x=51
x=300
17/100(300)=51
Answer:
4 cm
Step-by-step explanation:
The equation of a parabola with its vertex at the origin can be written as ...
y = 1/(4p)x^2
The problem statement tells us that one point on the parabola is (x, y) = (12, 9). We can put these values into the equation and solve for p, the distance from the focus to the vertex.
9 = 1/(4p)(12^2)
9×4/144 = 1/p = 1/4 . . . . . . . . multiply by the inverse of the coefficient of 1/p
Then p = 4, and the bulb is 4 cm from the vertex.