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3 years ago

The solution of the equation...and how to explain the answer

Mathematics

2 answers:

sashaice [31]3 years ago

8 0

Answer:

x = -2.

Step-by-step explanation:

3x + 7 = 1

3x + 7 - 7 = 1 - 7

3x + 0 = -6

x = -6/3

x = -2.

babymother [125]3 years ago

5 0

Answer:

x=-2

Step-by-step explanation:

1st:

Subtract 7 to both sides, so..

3x+7=1

-7 -7

2nd:

3x=-6

3rd, Divide 3 to both sides:

3x=-6

_ _

3 3

4th:

x=-6/3

5th:

your answer is, x=-2

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7.Find the lengths of the missing sides in the triangle. If your answer is not an integer, leave it in simplest radical form. Th

Fed [463]

Here a right angled triangle given. one angle with measure $45^o$ given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

The side adjacent to the given angle $45^o$ is x. So, here adjacent = x.

The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is $sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}$ , where x is the angle given.

To get x, we will use tan. So we will get,

$tan(45^o) = \frac{4}{x}$

We know the value of $tan(45^o) = 1$ . By substituting the value we will get,

$1 =\frac{4}{x}$

To find x, we have to move x here to the left side by multiplying it to both sides. We will get,

$(1)(x) = (\frac{4}{x}) (x)$

$x = 4$

So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

$sin(45^o) =\frac{4}{y}$

we know the value of $sin(45^o) =\frac{\sqrt{2}}{2}$

By substituting the value we will get,

$\frac{\sqrt{2}}{2} = \frac{4}{y}$

By cross multiplying we will get,

$(\sqrt{2}) (y) = (4)(2)$

$\sqrt{2}y = 8$

We will get y by dividing both sides by $\sqrt{2}$ , we will get,

$\frac{\sqrt{2}y}{\sqrt{2}} =\frac{8}{\sqrt{2} }$

$y =\frac{8}{\sqrt{2} }$

Now we will rationalize the denominator by multiplying $\sqrt{2}$ to the top and bottom.

$y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}$

$y =\frac{8\sqrt{2}}{2}$

$y = 4\sqrt{2}$

So we have got the required values of x and y.

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3 years ago

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Shtirlitz [24]

The answer would be: <span>√x+3=13

</span>A radical equation is an equation with at least one variable put on a radical form. In this question, there is only one kind of variable which is x. Then, you need to find the equation where x is in the radical form. The radical form can be expressed with square root symbol.
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Sergeeva-Olga [200]

Step-by-step explanation:

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La suma de dos números es igual a 16 y su diferencia es –4. ¿cuál es el número menor? *

blagie [28]

Explicación paso a paso:

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----------

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3 years ago

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marusya05 [52]

Answer:

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Step-by-step explanation:

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