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Scrat [10]
3 years ago
12

What statements are always true for a square

Mathematics
1 answer:
bagirrra123 [75]3 years ago
6 0
A square's sides are always all congruent. A square's angles are always all congruent. The opposite sides of a square are always parallel.
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An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with _______ exactly one
Dafna11 [192]

Answer:

exactly one, 0's, triangular matrix, product and 1.

Step-by-step explanation:

So, let us first fill in the gap in the question below. Note that the capitalized words are the words to be filled in the gap and the ones in brackets too.

"An elementary ntimesn scaling matrix with k on the diagonal is the same as the ntimesn identity matrix with EXACTLY ONE of the (0's) replaced with some number k. This means it is TRIANGULAR MATRIX, and so its determinant is the PRODUCT of its diagonal entries.​ Thus, the determinant of an elementary scaling matrix with k on the diagonal is (1).

Here, one of the zeros in the identity matrix will surely be replaced by one. That is to say, the determinants = 1 × 1 × 1 => 1. Thus, it is a a triangular matrix.

3 0
3 years ago
Find x if AB = 9, BC = 2x - 5,<br> and AC = x + 9
Oxana [17]

Answer:

x = 5

Step-by-step explanation:

Using the fact that line segments AB and BC are parts of the whole line segment AC, we can write the following equation:

AB + BC = AC

Now, using the given values, we can substitute in for the equation and solve for x:

AB + BC = AC

9 + 2x - 5 = x + 9

2x + 4 = x + 9

x = 5

Thus, we have found that for these sets of equations for these line segments, our value for x should be 5.

Cheers.

5 0
3 years ago
Read 2 more answers
Factor 3x^3+6x^2+x+2 by grouping
bezimeni [28]
The answer for this question when grouping:

(x+2)(3x^2+1)
7 0
3 years ago
Read 2 more answers
Find (ƒ + g)(x) ƒ(x) = 6x2 + 3x + 1 g(x) = 2x2 – 9
gavmur [86]

Answer:

8x² + 3x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = 6x² + 3x + 1 + 2x² - 9 = 8x² + 3x - 8

8 0
3 years ago
2
Svetlanka [38]

Answer:

area of rectangle=l×b=2.4×5.8=13.92cm²

6 0
3 years ago
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