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3 years ago

Solve the absolute value equation for |r-6|=3

Mathematics

2 answers:

Volgvan3 years ago

6 0

The solutions would be 3 and 9

melamori03 [73]3 years ago

4 0

Answer:x1=3, x2=9

Step-by-step explanation:

use photomath (app) it helps a lot

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3 years ago

40% of the students in Jody's class

77julia77 [94]

40% = 40/100 = 0.40
Find 40% of 20
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7 0

3 years ago

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.

8 0

3 years ago

Read 2 more answers

2x(8+7)-6/2x(9-3) evaluate

Katarina [22]

Ok so assuming that the 'x' means multiply and not 'x' as in placeolder we do

PEMDAS
parenthaseees
exponents
multipilcation or division
additon or subtraction

parethasees simplify first
(8+7)=15

(9-3)=6

now we have
2x(15)-6/2x(6)
multiply
2x15=30

6/2x6=36/2=18

now we have
30-18
12

answer is 12

6 0

3 years ago

Read 2 more answers

What is the answer of 12x - 6 = 54

Bogdan [553]

Answer:

x = 5

Step-by-step explanation:

12x - 6 + 6 = 54 + 6

12x = 60

12/12 = 60/12

X = 5