Students are selling muffins at a school bake sell. One muffin cost $0.25, 2 cost $0.37, 3 cost $0.49, and 4 cost $0.61. If this
2 answers:
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Answer:
- determinant: -15
- x = 3; y = 4; z = 1
Step-by-step explanation:
The matrix of coefficients has one row corresponding to each equation. The constants in that row are the coefficients of the variables in the equation. Coefficients are listed in the same order on each row. A missing term is represented by a coefficient of 0.
<h3>coefficient matrix, determinant</h3>The first attachment shows the coefficient matrix and its determinant.
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<h3>solution</h3>The solution to the system of equations can be found by left-multiplying the constant vector by the inverse of the coefficient matrix.
This multiplication is shown in the second attachment. It tells us ...
The square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.
<h3>What is a right-angle triangle?</h3>It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
First we have to find the line that goes through the points (0, 6) and (8, 0)
(y - 0) = (0-6)/(8-0)(x-8)
y = (-6/8)[x - 8]
Plug y = x
x = (-6/8)[x - 8]
After solving:
x = 24/7 or 3.428
y = 24/7 or 3.428
Thus, the square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.
Learn more about the right angle triangle here:
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