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polet [3.4K]
3 years ago
11

Find the length of side x in simplest radical form with a rational denominator

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

x = √(10)/2

Step-by-step explanation:

Here, we want to get the measure of the side marked x

what we have is an isosceles right triangle since the two acute angles of the right triangle are 45 degrees each

Hence, the other last side will measure x too

Mathematically, according to Pythagoras’; the square of the hypotenuse equals the sum of the squares of the two other sides

Thus;

x^2 + x^2 = (√5)^2

2x^2 = 5

x^2 = 5/2

x = √(5/2)

x = √5/√2

Rationalizing the denominator;

x = (√2 * √5)/(√2 * √2)

x = √10/2

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Step-by-step explanation:

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2 years ago
Which system of inequalities is shown? A. Y>x y<2 b. Y 2 D. Y>x y>2
AURORKA [14]

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The horizontal line goes through 2 on the y axis. This boundary line is represented by the equation y = 2, since every point on this line has a y coord of 2. The shading above it means that the inequality is y > 2. Every point in the shaded region of y > 2 has a y coord that is larger than 2.

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Combining the two regions of y > 2 and y > x leads to what is shown.

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2 years ago
Find the lateral surface area of this
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Step-by-step explanation

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6 0
2 years ago
Kim owes her friend $245 and plans to pay $35 per week. write an equation for the function that shows the amount Kim owes after
nevsk [136]

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7 0
3 years ago
If f(x) =2X +4 and g(x) =3X-7; then find g-1(2)​
Fudgin [204]

Answer:

is the question g inverse ??

i have answered for g inversed

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interchanging the value of x and y

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so g-1(2)=(2+7)/3

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             =3

therefore 3 is the answer

Step-by-step explanation:

7 0
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