In these equations, the value of y is 6/5 times the value of X
Answer:
6 with multiplicity 2
-2 with multiplicity 2
Step-by-step explanation:
We have given that find the roots of:
f (x) = (x- 6)²(x + 2)²
Note that the polynomials are already in the factored form. So we will only make it equal to zero
(x-6)² = 0
The square tells us that the root repeat twice
Move -6 to the R.H.S
Then,
x=6 , 6
(x+2)²=0
Move 2 to the R.H.S
Then,
x= -2, -2
Therefore the correct options are:
6 with multiplicity 2
-2 with multiplicity 2 ....
It should be about 16.67% (or 17%) of it.
Answer:
The ladder would reach 40ft
Step-by-step explanation:
The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height that the ladder would reach along the side of the building represents the opposite side of the right angle triangle.
The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.
To determine the height that the ladder would reach along the side of the building h, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
41² = 9² + h²
1681 = 81 + h²
h² = 1681 - 81 = 1600
h = √1600
h = 40 ft
Answer: £ 81.38
Step-by-step explanation:
Given: On Monday,
5 builders took
hours ( i.e.
hours ) to build a wall.
On Tuesday, only 2 builders were available.
As workers are inversely proportional to the time if the job remains constant.
Inverse variation equation : 
Let x be the time taken by 2 builders, then


So, 2 builders will take 8.75 hours.
Each paid £9.30 for each hour.
Then, each builder will be paid for the work completed on Tuesday = £9.30 x 8.75
≈ £ 81.38
Hence, each builder will be paid £ 81.38 for the work completed on Tuesday .