The solution to the matrix equation is x = 2.6
<h3>What is the solution?</h3>
Following the matrix as given, all the elements in the right hand side would have to be multiplied by X hence we have;
-x 4x -8 17
6x 3x = 21 -21
Taking the determinant of both matrices;
-3x^2 - 24x^2 = 168 - 357
-27x^2 = -189
x^2 = -189/-27
x = 2.6
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Answer:
Gateway Arch is feet tall
Step-by-step explanation:
As we know,
the horizontal distance from the gate of the Arch to the bench feet
The angle of elevation is degree
Let H be the height of the gate be "H"
Tanθ= Perpendicular/Base
Substituting the given values in above equation, we get -
feet
Answer: 20x^8 y^10
Step-by-step explanation:
First off, simplify the exponential of x and y and the integers on the left side of the equation getting 32x^8 y^10 - 12x^8 y^10 = 20x^8 y^10
Answer:
Step-by-step explanation:
This is a super simple problem. I'm going to walk through it as I do when I teach this to my students for the first time.
We are given a rectangle. We are told to find how fast the area is changing under certain conditions. That tells us that the main equation for this problem is the area formula for a rectangle which is
. If we are looking for the rate at which the rectangle's area is changing, that means that we need to find the derivative of the area implicitly. This derivative is found using the product rule because the length is being multiplied by the width:
. If our unknown is the rate at which the area is changing, , that means that everything else has to have a value (because you can only have one unknown in an equation). Here's what we're told:
The length of the rectangle is increasing at a rate of 7 cm/s, so that satisfies our ;
the width is increasing at a rate of 6 cm/s, so that satisfies our ;
and all of this is going on when the length = 12 and the width = 8. It looks like everything will have a value except for our unknown. Filling in:
and
so
(-2)(3)^(10-1)
The 10th term is -39366