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PilotLPTM [1.2K]
2 years ago
7

Pls help quick 10 points

Mathematics
2 answers:
scZoUnD [109]2 years ago
8 0

Answer:

6.86 to 2DP.

Step-by-step explanation:

7/12 = 4/DC

Cross multiply:

7DC = 4*12

DC = 48/7

= 6.857.

azamat2 years ago
4 0

Answer:DC=4Step-by-step explanation:BD & DC are opposite to equal angles or never mind :(

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Which choice is equivalent to √10*√5?<br> A. 5√2<br> B. 25√2<br> C. 5√10<br> D. 2√5
DanielleElmas [232]

Answer: 5\sqrt{2}

Step-by-step explanation:

\sqrt{10} *\sqrt{5} =\sqrt{50} =\sqrt{2*5*5} =5\sqrt{2}

3 0
2 years ago
How to determine if the columns of a matrix are linearly independent?
astra-53 [7]
Let's consider an arbitrary 2x2 matrix as an example,

\mathbf A=\begin{bmatrix}\mathbf x&\mathbf y\end{bmatrix}=\begin{bmatrix}x_1&y_1\\x_2&y_2\end{bmatrix}

The columns of \mathbf A are linearly independent if and only if the column vectors \mathbf x,\mathbf y are linearly independent.

This is the case if the only way we can make a linear combination of \mathbf x,\mathbf y reduce to the zero vector is to multiply the vectors by 0; that is,

c_1\mathbf x+c_2\mathbf y=\mathbf 0

only by letting c_1=c_2=0.

A more concrete example: suppose

\mathbf A=\begin{bmatrix}1&2\\4&8\end{bmatrix}

Here, \mathbf x=\begin{bmatrix}1\\4\end{bmatrix} and \amthbf y=\begin{bmatrix}2\\8\end{bmatrix}. Notice that we can get the zero vector by taking c_1=-2 and c_2=1:

-2\begin{bmatrix}1\\4\end{bmatrix}+\begin{bmatrix}2\\8\end{bmatrix}=\begin{bmatrix}-2+2\\-8+8\end{bmatrix}=\mathbf 0

so the columns of \mathbf A are not linearly independent, or linearly dependent.
8 0
2 years ago
Which ordered pair describes the location of point A? (-6, 5) (-6, -5) (5, -6) (5, 6)
Neko [114]

Answer:

the answer is -6,5

Step-by-step explanation:

just look at the left side ( the x axis )first then right(the y axis)

8 0
2 years ago
Solve the following inequality. 21&lt;_-3(x - 4) &lt; 30 A. 28&lt;_x &lt; 37 B. -3 &lt;_ x &lt; 6 C. -6 &lt; x &lt;_ -3 D. -10 &
Aloiza [94]

Answer:

Option C -6

Step-by-step explanation:

we have

21\leq -3(x-4)

The compound inequality can be divided into two inequality

21\leq -3(x-4) -----> inequality A

-3(x-4) ----> inequality B

Solve inequality A

21\leq -3x+12

9\leq -3x

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

-3\geq x

Rewrite

x\leq -3

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

-3x+12

-3x

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

x>-6

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

-6

3 0
3 years ago
Hi please help I have no confidence or motivation at this point and I just don't wanna fail. Thank you.
aleksandrvk [35]

Answer:

1) C. reject the null hypothesis; there is sufficient evidence to support the claim that “A” the students are NOT evenly distributed throughout the classroom

4) A. 7.815

7) D. fail to reject the null hypothesis; there is not sufficient evidence

i’m sorry my test doesn’t have questions 8 and 10 so i don’t know the answer

Step-by-step explanation:

i just took the test

7 0
3 years ago
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