Answer:
A is spanned by vector.
Step-by-step explanation:
The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.
Answer:
Step-by-step explanation:
If you call "5x-2x^2+1" an "equation," then you must equate 5x-2x^2+1 to 0:
5x-2x^2+1 = 0
This is a quadratic equation. Rearranging the terms in descending order by powers of x, we get:
-2x^2 + 5x + 1 = 0. Here the coefficients are a = -2, b = 5 and c = 1.
Use the quadratic formula to solve for x:
First find the discriminant, b^2 - 4ac: 25 - 4(-2)(1) = 25 + 8 = 33
Because the discriminant is positive, the roots of this quadratic are real and unequal.
-b ± √(discriminant)
Applying the quadratic formula x = --------------------------------
2a
we get:
-5 ± √33 -5 + √33
x = ----------------- = --------------------- and
2(-2) -4
-5 - √33
---------------
-4
The congruency statement which is true among the answer choices is;
- On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
- Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.
<h3>Which congruency statement is true?</h3>
According to the task content, the initial transformation is; Triangle GHI is rotated 90Degrees clockwise and then reflected over the y-axis.
On this note, the congruency which are true regarding the transformation are;
- On a coordinate plane, triangle G H I is rotated 90 degrees clockwise and then is reflected over the y-axis.
- Triangle G H I is congruent to triangle G double-prime H double-prime I double-prime.
This follows from the fact that the transformation.does not involved dilation by means of a scale factor and hence, size remains equal and all angle measures remain the same.
Read more on triangle congruence;
brainly.com/question/2102943
#SPJ1
The doorstop is a triangular prism. volume of the triangular prism is the area of the base times the height
area of the base: 1/2 * 10*6=30cm²
height: 2.5cm
Volume: 30cm²*2.5cm=75cm³
weight: 75cm³*8.6g/cm³=645 grams
