Answer:
Step-by-step explanation:
<em>Angle sum property of triangle states that the sum of interior angles of a triangle is 180°</em>
So,
Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standar
1 answer:
You might be interested in
Answer:
d=1
Step-by-step explanation:
Factor d^2 - 2d - 8 into (d-4)(d+2)
Move -2/d+2 onto the other side, changing it into 2/d+2.
Let the empty side equal zero.
Add 3/d-4 and 2/d+2
Then add that to -3d.
Multiply 0 by d+2 and d-4 to get 2d-2 by itself.
2d=2
d=1
I can't edit the equation, but it's d-4 althroughout the question. Sorry for being so slow.
Answer:
The set of polynomial is Linearly Independent.
Step-by-step explanation:
Given - {f(x) =7 + x, g(x) = 7 +x^2, h(x)=7 - x + x^2} in P^2
To find - Test the set of polynomials for linear independence.
Definition used -
A set of n vectors of length n is linearly independent if the matrix with these vectors as columns has a non-zero determinant.
The set is dependent if the determinant is zero.
Solution -
Given that,
f(x) =7 + x,
g(x) = 7 +x^2,
h(x)=7 - x + x^2
Now,
We can also write them as
f(x) = 7 + 1.x + 0.x²
g(x) = 7 + 0.x + 1.x²
h(x) = 7 - 1.x + 1.x²
Now,
The coefficient matrix becomes
A =
Now,
Det(A) = 7(0 + 1) - 1(7 - 7) + 0
= 7(1) - 1(0)
= 7 - 0 = 7
⇒Det(A) = 7 ≠ 0
As the determinant is non- zero ,
So, The set of polynomial is Linearly Independent.
Check the picture below.
the volume of a rectangular prism is just the product of its 3 dimensions, so the volume of those two there is 4*9*6 and 3*6*5.
so the volume for the composite figure is just the sum of those two products.
the volume of a rectangular prism is just the product of its 3 dimensions, so the volume of those two there is 4*9*6 and 3*6*5.
so the volume for the composite figure is just the sum of those two products.