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charle [14.2K]
3 years ago
10

Determine if the statement is true or false. A linear system with three equations and two variables must be inconsistent. True F

alse Justify your answ
Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

yes it is true that a linear system of three equations with two variables is inconsistent because when we solve the equations variables can be obtained by only first two equations which are considered first. and third equation is useless.

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Write an equation in point-slope form for the line that passes through
maria [59]

Answer:

y+2=3(x+1)

Step-by-step explanation:

y-(-2)=3(x-(-1))

y+2=3(x+1)

8 0
2 years ago
What is the sine value of 2 pi over 3? negative 1 over 2 1 over 2 negative square root 3 over 2 square root 3 over 2
MatroZZZ [7]

Answer:

\large\boxed{\sin\dfrac{2\pi}{3}=\dfrac{\sqrt3}{2}}

Step-by-step explanation:

\sin\dfrac{2\pi}{3}=\sin\bigg(\pi-\dfrac{\pi}{3}\bigg)\\\\\text{use}\ \sin(x-y)=\sin x\cos y-\sin y\cos x\\\\=\sin\pi\cos\dfrac{\pi}{3}-\sin\dfrac{\pi}{3}\cos\pi\\\\\text{use the table from the attachment}\\\\\sin\pi=0\\\\\cos\dfrac{\pi}{3}=\dfrac{1}{2}\\\\\sin\dfrac{\pi}{3}=\dfrac{\sqrt3}{2}\\\\\cod\pi=-1\\\\\text{subtitute:}\\\\=(0)\left(\dfrac{1}{2}\right)-\left(\dfrac{\sqrt3}{2}\right)(-1)=\dfrac{\sqrt3}{2}

7 0
2 years ago
A container is filled with blueberries 1/6 of blueberries is poured equally into two bowls what fraction of the blueberries in e
Harrizon [31]
1/12

1/6 divided by 2 is 1/12
3 0
3 years ago
Please help!! What is RS?
Reil [10]

Answer:

<h2>         RS = 47</h2>

Step-by-step explanation:

RV=VU and SW=WT    means    VW=\frac{RS+UT}{2}

So:

3x+5=\dfrac{2x+15+6x-37}{2} \\^{\qquad\times2\qquad\qquad\qquad\qquad\times2} \\6x+10=8x-22\\^{\qquad-10\qquad-10}\\6x=8x-32\\^{-8x\qquad-8x}\\-2x=-32\\^{\div(-2)\quad\div(-2)}\\x=16\\\\RS=2x+15=2\times16+15=32+15=47

3 0
2 years ago
Which of the division expressions below has a remainder? Select all that apply.
gavmur [86]

Answer:

A, B, C, & E

Step-by-step explanation:

A) 19,456 ÷ 6 = 3,242 \frac{2}{3}

    (2/3 is 0.666666666 etc)

B) 28,765 ÷ 13 = 2,212.692308...

C) 4,145 ÷ 3 = 1,381 \frac{2}{3}

    (2/3 is 0.666666666 etc)

D) 4,165 ÷ 17 = 245

    (Not bolded because it is not an answer)

E) 44,312 ÷ 16 = 2,769.5

    C -> When dividing by three, if the first number's values do not add up to a multiple of 3 there will be a remainder. Example from your problem,

4,145 -> 4 + 1 + 4 + 5 = 14 -> 14 is not a multiple of 3, so there is a reminder

    D -> No decimal / fraction, no remainder!

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

8 0
2 years ago
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