Answer:
1) x ≤ -2;
2) x > 2;
3) x - 2 < 0
4) 2 ≤ x;
5)-2 < x;
Step-by-step explanation:
≤ means equal to or smaller than;
≥ means equal to or greater than;
< means smaller than;
> means greater than;
In addition, ≤ and ≥ are closed dots in the intervals. < and > are open dots in the intervals.
1) x ≤ -2; By looking at the intervals, the dot is -2, and the arrow is going to the left sides, -4, that the numbers were in a range of smaller than -2. And also because it's a closed dot, it means equal to or smaller than.
2) x > 2; The number starts in 2 with an open dot, and goes to 4, which means x in a range that greater than 2 but not equal to.
3) x - 2 < 0, we get x < 2, by plus 2 in both sides. The number starts in 2 with an open dot and goes to -4, which means x becomes smaller than 2 but not equal to.
4) 2 ≤ x; The number starts in 2 with a closed dot and goes to 4, the x is places in a number range that is equal to or greater than 2.
5)-2 < x; The number starts in -2 with an open dot and goes to 4, which means x becomes bigger than -2 but not equal to.
The solution to the problem is as follows:
let y = asinx + bcosx
<span>
dy/dx = acosx - bsinx </span>
<span>
= 0 for max/min </span>
<span>
bsinx = acosx </span>
<span>
sinx/cosx = a/b </span>
<span>
tanx = a/b </span>
<span>
then the hypotenuse of the corresponding right-angled triangle is √(a^2 + b^2) </span>
<span>the max/min of y occurs when tanx = a/b </span>
<span>
then sinx = a/√(a^2 + b^2) and cosx = b/√(a^2 + b^2) </span>
<span>
y = a( a/√(a^2 + b^2)) + b( b/√(a^2 + b^2)) </span>
<span>
= (a^2 + b^2)/√(a^2 + b^2) </span>
<span>
= √(a^2 + b^2)</span>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
speed=d/t
let him cover x distance while walking
running d=4.5-x
s1=x/0.5 km/hr....(1)
s2=4.5-x//5/12.....(2)
atq.....s2=2+s1
s1=2x
s2=54-12x/5
by eqn 1 and 2
s1+s2=2x+54-12x/5
putting value of s2
s1+2+s1=2x+54-12x/5....taking LCM =5
10s1+10= 10x+54-12x
as s1=2x
10s1+10= -2x+54
10s1+10=-s1+54
11s1=44
speed when walking=4km/hr
To find the angle use arc tan (-5/-7) which simplifies tips arctan(5/7). arc tan is tan to the power -1, which is also called inverse tan. The heading of the angle, if you drew this out on a graph your angle would be in the third quadrant and therefore the heading is south of west.
Answer:
60 cm²
Step-by-step explanation:
base = 10
Height = √13² - 5² = √144 = 12
area = 1/2BH = 1/2 * 10 * 12 = 60
