The line would slant upward to the right because if the y-intercept is negative, the line starts below the x-axis and if the x-intercept is positive it means that the line continued from below the x-axis and cross to the right of the origin (to the right of 0), meaning it is slanting upward to the right.
In △BAH and △CAK
AB = AC (Given congruent sides of triangle)
m∠BAK = m∠CAH ( Given congruent angles)
AH = AK (Given congruent sides of triangle)
Therefore, triangle △BAH congruent to triangle △CAK.
△BAH ≅ <u>△CAK </u>by (<u>Side Angle Sngle or SAS triangle congruency postulate</u>).
Therefore, m∠K = m∠H (Congurent parts of the congruent triangles are congruent).
Answer:
91
Step-by-step explanation:
shaded area= area of rec - area of semi circle
A= 12*14- 1/2*22/7*7²= 91 cm²
note π=22/7 not 2/7
For this case we have the following function:
f (t) = -16t2 + 32t + 384
By definition we have to:
The average rate of change:
AVR = (f (t2) - f (t1)) / (t2 - t1)
Where,
For t1 = 4
f (4) = -16 * (4) ^ 2 + 32 * (4) + 384
f (4) = 256
For t2 = 6
f (6) = -16 * (6) ^ 2 + 32 * (6) + 384
f (6) = 0
Substituting values we have:
AVR = (0 - 256) / (6 - 4)
AVR = -128
Answer:
The average rate of change of f (t) from t = 4 seconds to t = 6 seconds is -128 feet per second.
From the side/angle inequality, we see that the smallest angle of a triangle must be opposite its shortest side. In this case, that angle is opposite the shortest side 
so our answer is 
As for finding its measure (which I'm aware the question probably didn't ask for), we can use the law of cosines:
