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Yuki888 [10]
2 years ago
12

Find the value of x. Leave your answer in simplest radical form.

Mathematics
2 answers:
Ivenika [448]2 years ago
8 0

Step-by-step explanation:

Pythagoras.

c² = a² + b²

c being the Hypotenuse (the side opposite of the right angle).

so, the length of the rectangle is the Hypotenuse of the right-angled triangle on the top :

length² = 7² + 3² = 49 + 9 = 58

length = sqrt(58)

the diagonal of the rectangle is again the Hypotenuse of the right-angled triangle of length (sqrt(58)), width (x) and diagonal (9) of the rectangle.

so, we have

9² = sqrt(58)² + x² = 58 + x²

81 = 58 + x²

23 = x²

x = sqrt(23)

Artyom0805 [142]2 years ago
3 0

Answer:

First you need to find at least two dimensions of the triangle containing a side length of x. The triangle of the top can be used for that. The hypothenuse for the 7,3 triangle is \sqrt{58}.

Now we can use the other triangle with sides of x,\sqrt{58}, and a hypothenuse of 9 to find x.

x^2 + \sqrt{58}^2 = 9^2

simplify

x^2 + 58 = 81

subtract 58 from both sides

x^2 = 23

x = \sqrt{23\\}

and since this radical cannot be simplified further that is your answer.

Step-by-step explanation:

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2y + 3x = 6
2y = -3x + 6
y = (-3/2)x + 3

Keep in mind that the term with the x has to be before the constant, so it can't be y = 3 -(3/2)x

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3 years ago
Find simple interest amount for 1000 for one year at 6%
DIA [1.3K]

Answer:

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Step-by-step explanation:

8 0
3 years ago
0.92 repeating as a fraction<br> (0.9222222222222222222........)
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Step-by-step explanation:

8 0
3 years ago
Find the first four terms of the sequence using the recursive formula. ​
frozen [14]

Answer:

- 3, - 11, - 35, - 107

Step-by-step explanation:

Using the recursive formula with f(1) = - 3 , then

f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11

f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35

f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107

Thus the first four terms are

- 3, - 11, - 35, - 107

3 0
3 years ago
b) y= 5/x What happens to the value of y if the value of x triples? Select your answer. A. x2 B. x3 C. /2 D. /3
jeyben [28]

Answer:

D.)

Step-by-step explanation:

y = 5/x

so when the value of x triples, the new X becomes;

X = 3x

So,

Y = 5/ X

=> Y = 5/3x

=> Y = 1/3 . 5/x

=> Y = 1/3 . y

so the new value of y ( Y ) is 1/3 times original y.

Hence, D. is the answer

3 0
2 years ago
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