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aev [14]
3 years ago
12

Determine whether the following statements are True or False.

Mathematics
1 answer:
Stella [2.4K]3 years ago
6 0

Answer:

1) False

2) False

3) True

4) False

Step-by-step explanation:

1) Flase, {v1,v2,v3, ..., vp} is a base for H when they span H and also they are linearly independent.

2) False. A single nonzero vector is linearly independent , not dependent. There is not null linear combination that gives 0 as a result involving that vector.

3) True, if the columns werent linearly independent, we could triangulate the matrix and obtain 0, so the matrix wouldnt be invertible. This means that the columns should be linearly independent for the matrix to be invertible and as a consecuence, they will spam a subspace of R^n of dimension n, which means that they will spam all R^n and therefore, they form a basis of R^n.

4) False. A basis is a spanning set that is as small as possible. Larger spanning sets will have extra elements apart from those who can form a base toguether. Those elements will make the set linearly dependent.

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Which of the following are incorrect expressions for slope?
vfiekz [6]

Answer:

Option B and C are correct.

\frac{x_2-x_1}{y_2-y_1}

\frac{run}{rise} are the expression incorrect for slope

Step-by-step explanation:

Slope is defined as the change in the dependent variable  relative to the change in the dependent variable

or the ratio of the horizontal changes to vertical changes between any two points on the graph of the line.

The vertical changes between any two points is rise

The horizontal changes between any two points is run.

Formula for slope is given by:

For any two points (x_1, y_1) and (x_2, y_2)

then slope is:

\text{Slope} =\frac{rise}{run}= \frac{y_2-y_1}{x_2-x_1}

or we can write this as:

Δy = y_2-y_1

Δx = x_2-x_1

⇒\text{Slope} = \frac{\triangle y}{\triangle x}

Therefore, the expression which are incorrect for slope  are;

\frac{x_2-x_1}{y_2-y_1}

\frac{run}{rise}

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2 years ago
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A popular clothing has flare pants advertised at $144 for 3 pairs. What is the constant of proportionality
ivolga24 [154]

Answer:

Constant Proportionality: 144

~ I  really hope this is correct, if not then, I'm sorry~

Step-by-step explanation:

5 0
2 years ago
What is the value of​ x?
olchik [2.2K]

Answer:

x = 4 sqrt(2)

Step-by-step explanation:

This is a right triangle so we can use trig functions

sin theta = opp/ hypotenuse

sin 45 = 4/x

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x sin 45 = 4/x *x

x sin 45 = 4

Divide each side by sin 45

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x = 4/ sin 45

We know sin 45 = sqrt(2)/2

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x = 8/ sqrt(2)

We do not leave a sqrt in the denominator so multiply by sqrt(2)/ sqrt(2)

x = 8/ sqrt(2) * sqrt(2)/sqrt(2)

x = 8 * sqrt(2) /2

x = 4 sqrt(2)

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3 years ago
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shusha [124]
-5m^2 = -125
m^2 = 25
m = SquareRoot (25)
m = 5

Equation has real number solution.
8 0
3 years ago
A college has 480 students. Each student is numbered 1 through 480. A sample of 25 students is needed, so a computer randomly ge
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