Answer:
x=1 y = -1/2
(1,-1/2)
Step-by-step explanation:
7x-2y=8
5x+2y=4
I would use elimination since we have 2y in one equation and -2y in the other
7x-2y=8
5x+2y=4
--------------------
12x = 12
Divide each side by 12
12x/12 = 12/12
x =1
The substitute back into equation 2
5(1) +2y = 4
5 +2y = 4
Subtract 5
5-5+2y = 4-5
2y = -1
Divide by 2
2y/2 = -1/2
y = -1/2
Answer:
Converges at -1
Step-by-step explanation:
The integral converges if the limit exists, if the limit does not exist or if the limit is infinity it diverges.
We will make use of integral by parts to determine:
let:





We can therefore determine that if x tends to 0 the limit is -1

Answer:

Step-by-step explanation:
Given in the question an expression,

Step 1
Apply exponential "product rule"





Step 2
Apply exponential " divide rule"




Step-by-step explanation:
Let θ be the angle of depression i.e the angle between the horizontal and the observer's line of sight.
tanθ= (Height of the light house)/(Horizontal distance of ship from the base of light house)
∴tanθ=88/1532=0.0574
∴θ=tan−1(0.0574)=3.290(2dp)
Answer:
10x/3
Step-by-step explanation:
30% is to x as 100% is to y
We are looking for y in terms of x.
30/x = 100/y
30y = 100x
y = 100x/30
y = 10x/3