2 years ago

The linear equation 3x – 11y = 10 has

Mathematics

1 answer:

storchak [24]2 years ago

7 0

Answer:

Correct option: c) infinitely many solutions

Step-by-step explanation:

We have an equation with two variables, so as we have a system with less equations (just one) than variables (two), we have an infinite number of solutions.

To find some solutions, we can choose values for x and then just calculate the value of y:

x = 0:

-11y = 10 -> y = -10/11

x = 1:

3 - 11y = 10 -> y = -7/11

x = 2:

6 - 11y = 10 -> y = -4/11

And so on.

So the correct option is c): infinitely many solutions

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In ADEF, f = 610 inches, e = 590 inches and ZE=70°. Find all possible values of ZF,

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Answer:

"76°" is the appropriate solution.

Step-by-step explanation:

Please find attachment of the diagram according to the given query.

The given values are:

In ΔDEF,

f = 610 inches

e = 590

∠E = 70°

∠F = ?

By using the law of sines, we get

⇒ $\frac{Sin E}{e} =\frac{Sin F}{f}$

On substituting the values, we get

⇒ $\frac{Sin70^{\circ}}{590} =\frac{SinF}{610}$

On applying cross multiplication, we get

⇒ $SinF=\frac{610\times Sin 70^{\circ}}{590}$

On substituting the values, we get

⇒ $=\frac{61\times 0.95969262}{59}$

⇒ $=\frac{57.3212499}{59}$

⇒ $=0.971546608$

now,

⇒ $F=Sin^{-1}(0.971546608)$

⇒ $=76^{\circ}$

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Step-by-step explanation:

Is if you do 18-5=13 13 is what Toby scored

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