Answer:
here is your answer
A matrix is a rectangular arrangement of numbers into rows and columns. Each number in a matrix is referred to as a matrix element or entry. The dimensions of a matrix give the number of rows and columns of the matrix in that order. Since matrix A has 2 rows and 3 columns, it is called a 2 × 3 2\times 3 2×3 matrix.
1. Suppose that BC is hypotenuse, then by Pythagorean theorem:
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2. If BC is not hypotenuse, then BC is a leg and AC is hypotenuse (because AC>AB). Hence by Pythagorean theorem:
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Answer:
x = 1 and x = - 3/2
Step-by-step explanation:
the zeros of the quadratic function when f(x) = 0
So
2x^2+x−3 = 0
Factor:
2x^2+x−3 = 0
(2x + 3)(x - 1) = 0
2x + 3 = 0;x = - 3/2
x - 1 = 0; x = 1
Answer:
x = 1 and x = - 3/2
The function that represents the vertical stretch by a factor of 3 of f(x) is given as follows:
g(x) = 3x - 21.
<h3>How are vertical stretches and compression applied to the graph of a function f(x)?</h3>
Vertical stretches or compression to the graph of a function f(x) are applied by the multiplication of a constant a to the function, as follows:
g(x) = a x f(x).
Then the value of the constant determines if it is an stretch or a compression.
- If the absolute value of the constant a is <u>greater than 1</u>, it is a stretch.
- If the absolute value of the constant a is <u>less than 1</u>, it is a compression.
For this problem, we want a vertical stretch with a factor of 3, then the constant is given as follows:
a = 3.
Then the definition of function g(x) is given by:
g(x) = 3f(x)
g(x) = 3(x - 7)
g(x) = 3x - 21.
More can be learned about transformations of functions at brainly.com/question/28810470
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