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3 years ago

Please help me with these 3 problems ASAP.

Mathematics

1 answer:

r-ruslan [8.4K]3 years ago

5 0

Answer:

For the first question(B)

x=-2

x=5

For part C, the question is not clear

For the last question, the approximated value is -5/4

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Find the radius of a circle whose circumference is 216 units, use 3.14 for π. r = 34.377 r = 34.395 r = 68.790

dlinn [17]

Answer:

The value of radius is 34.395..

Step-by-step explanation:

The formula for finding the circumference of the circle is:

C=2πr.

Here we have given the values:

circumference = 216 units

π = 3.14.

r = ?

Substitute the values in the formula:

216 = 2(3.14)r

216=6.28r

Now divide both sides by 6.28.

We get,

216/6.28 = 6.28r/6.28

34.395=r

Thus the value of radius is 34.395...

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3 years ago

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Answer:

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3 years ago

100 Points

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$\left\{\begin{array}{ccc}ax+by=c\\ax+by=c\end{array}\right\Rightarrow\text{coincident}\\\\\left\{\begin{array}{ccc}ax+by=c\\ax+by=d\\c\neq d\end{array}\right\Rightarrow\text{inconsistent}\\\\\left\{\begin{array}{ccc}ax+by=c\\dx+ey=c\\a\neq d\ or\ b\neq e\end{array}\right\Rightarrow\text{consistent independent}$

$\left\{\begin{array}{ccc}x+5y=-2\\x+5y=4\end{array}\right\Rightarrow\boxed{\text{inconsistent}}\\--------------------------------\\\left\{\begin{array}{ccc}y=3x+4&\text{subtract 3x from both sides}\\-2x+y=4\end{array}\right\\\\\left\{\begin{array}{ccc}-3x+y=4\\-2x+y=4\end{array}\right\Rightarrow\boxed{\text{consistent independent}}\\-----------------------------\\\left\{\begin{array}{ccc}3x+y=4\\-6x-2y=-8&\text{divide both sides by (-2)}\end{array}\right\\$

$\left\{\begin{array}{ccc}3x+y=4\\3x+y=4\end{array}\right\Rightarrow\boxed{\text{coincident}}$

7 0

3 years ago

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