Answer:
B.
Step-by-step explanation:
Here the best method to solve is by substituting the end values of the set in each option , otherwise it will a time consuming problem.
Now substitute x=-4 in all the options
A.
16+8-8=16>0
so out of option A and C option C is correct.
B.
16-8-8=0 which means for the values of x>-4 is less than 0
Now substitute x=2 in all the options
A.
4-4-8=-8<0 . so option A and C both are incorrect.
B.
4+4-8=0 which means for the values of x<2 is less than 0
Therefore the correct option is B
Answer:
16 cm
Step-by-step explanation:
x+x
8+8
16 cm
therefore 16 cm must be the value of x be in order for the figures below to be similar
we are given equation of line
Equation of perpendicular line:
Firstly , we will find slope of line
we can compare it with
y=mx+b
we get
we know that
slope of perpendicular line will be -1/m
so, slope is
It passes through point (-4,5)
so, we can use point slope form of line
we get
..........Answer
Equation of parallel line:
Firstly , we will find slope of line
we can compare it with
y=mx+b
we get
we know that
slope of parallel line always equal
so, slope is
It passes through point (-4,-5)
so, we can use point slope form of line
we get
............Answer
You are finding the perimeter, which has double of each side length given.
Note: P = perimeter
2(5x - 1) + 2(2x + 1) = P
Distribute 2 to each monomial in the given parenthesis
2(5x - 1) = 10x - 2
2(2x + 1) = 4x + 2
10x - 2 + 4x + 2 = P
combine like terms.
P = 10x + 4x - 2 + 2
P = 14x
C) 14x, is your answer
hope this helps
If the initial value problem is 
and 
,y(0)=0 then y(t)=
.
Given the initial value problem be and ,y(0)=0.
We are required to find the solution of the given initial value problem.
Laplace transform is an integral transformation that converts a function of a real variable to a function of a complex variable.
Take laplace on the DE, we get
![s^{2}-sY(0)-y^{i}(0)-8[sY(s)-y(0)-15Y(s)]=0](https://tex.z-dn.net/?f=s%5E%7B2%7D-sY%280%29-y%5E%7Bi%7D%280%29-8%5BsY%28s%29-y%280%29-15Y%28s%29%5D%3D0)
(Putting the values given in question)
Y(s)=(
Y(s)=1/(
)
Simplifying the above:
=1/(
=1/[s(s-5)-3(s-5)]
=1/2 [1/(s-3)-1/(s-5)]
Taking inverse of the above we get,
y(t)=
Hence if the initial value problem is and ,y(0)=0 then y(t)=.
Learn more about laplace transform at brainly.com/question/17062586
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