Answer:
a.
b. x = 10
Step-by-step explanation:
a. The number of home runs hit by Jack last season = x
It is given that Henry hit 3 more than half as many home runs as Jack hit.
Half of the runs hit by Jack =
3 more than half the runs =
So, the number of home runs hit by Henry =
But, it is given that Henry hit a total of 8 runs.
Therefore,
b.
Subtract 3 from both sides.
= 5
x = 5 × 2
= 10
Hence, Jack hit 10 runs in the last season.
9514 1404 393
Answer:
(x, y) = (7, -48)
Step-by-step explanation:
A critical point is where the slope is zero or undefined. A polynomial function will never have any points where the slope is undefined.
The slope is zero were f'(x) = 0.
f'(x) = 2x -14
0 = 2x -14
0 = x -7
7 = x
f(7) = 49 -98 +1 = -48
The critical point is (7, -48).
Answer:
7
Step-by-step explanation:
the altitude creates two congruent 30-60-90° triangles
the ratio of the sides in a 30-60-90°, respectively, are 1 : : 2
therefore we can set up a proportion to find the side length:
let 'x' = side length of equilateral Δ
/ 1 = 21 / x
cross-multiply:
x = 21
x = 21 /
rationalize the denominator by multiplying numerator and denominator by
21 /
·
= 21
/ 3 or 7