Answer:
Step-by-step explanation:
<em>(a).</em> 2( 2 )³ + a ( 2 )² - b ( 2 ) + 12 + ( 18 ) = 0
16 + 4a - 2b + 30 = 0
4a - 2b = - 46
<em>2a - b = - 23</em> ....... <em>( 1 )</em>
2 ( - 4 )³ + a ( - 4 )² - b ( - 4 ) + 12 = 0
- 128 + 16a + 4b + 12 = 0
16a + 4b = 116
<em>4a + b = 29</em> ........ <em>( 2 )</em>
<em>( 1 )</em> + <em>( 2 )</em>
6a = 6 , <em>a = 1</em>
4(1) + b = 29 , <em>b = 25</em>
<em>(b).</em> 2x³ + x² + 25x + 12 = 0
= <em>- 4</em> ( given: f(x) is divisible by x + 4 )
= <em>0.5</em>
= <em>3</em>
Answer:
32cm and 28cm
Step-by-step explanation:
Area of a trapezium=0.5 ( sum of parallel sides ) × height
600=0.5( 4+a+a)×20
where a is the length of the shorter side
600÷0.5=(4+2a)×20
1200=(4+2a)×20
1200÷20=4+2a
60=4+2a
60-4=2a
56=2a
56÷2=a
28=a.
since the longer side is 4 cm more than th shorter side , 28 +4=32
The function is in polar coordinates.
When this is the case, to pass to rectagular (cartesian) coordinates you use:
x = r cos(theta)
y = r sin(theta)
Then,
x = [2cos(theta) + 2sin(theta)]cos(theta) =
= 2 [cos(theta)]^2 + 2sin(theta)cos(theta) = 2 [cos(theta)]^2 + sin(2theta)
y = [2cos(theta) + 2sin(theta)]sin(theta) =
= 2 cos(theta)sin(theta) + 2[sin(theta)]^2 = sin(2theta) + 2[sin(theta)]^2
they increased by 70 percent. divide 667 by 912 and you get 0.67237903 but you round to the tenths and get 70% because you move the decimal to the right twice