Answer:
a = - 4
Step-by-step explanation:
Given x = - 2 is a root then f(- 2) = 0
f(x) = x³ + x² + ax - 4, thus
f(- 2) = (- 2)³ + (- 2)² - 2a - 4 = 0, that is
f(- 2) = - 8 + 4 - 2a - 4 = 0, thus
- 8 - 2a = 0 ( add 8 to both sides )
- 2a = 8 ( divide both sides by - 2 )
a = - 4
1. YX = 8√3/tan60° = 8
so ZX = ZY + YX = 10 + 8 = 18
2. angle Q
A "perfect square" is an integer that is the square of an integer.
The largest 6-digit integer is 999,999.
The square root of it is 999.9995
So the greatest square of an integer is the square of 999 = <u>998,001</u> .
60° in radians is 1.047
The formula used is 60° × π/180 = 1.047rad
Answer:
$175
Step-by-step explanation:
100 divided by 8 is 12.5
12.5 x 14 is 175.