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stellarik [79]
3 years ago
13

What is the value of x in this figure?

Mathematics
1 answer:
dem82 [27]3 years ago
8 0
The lengths of sides of a 30°-60°-90° triangle have the ratio 1 : √3 : 2. Multiplying these values by 5 tells you the sides have the lengths 5 : 5√3 : 10.

The length x of the middle-length side is ...
  c. 5√3
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Write a linear equation in standard form that satisfies the given set of conditions. X-intercept: 3, y-intercept: 5
Artyom0805 [142]

The linear equation in standard form is y=\frac{-5}{3}x +5.

<h3>Linear Function</h3>

An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:

a= the slope. It can be calculated for  \frac{\Delta x }{\Delta y}.

b= the constant term that represents the y-intercept.

The question gives: X-intercept:3  and  y-intercept: 5. Then,

  • The x-intercept is the point that y=0, then the x-intercept point is (3,0).
  • The y-intercept is the point that x=0, then the x-intercept point is (0,5).

With this information, you can find the slope (a).

a=\frac{\Delta y }{\Delta x}= \frac{0-5}{3-0} =\frac{-5}{3}

The question gives the coefficient b since it gives the y-intercept=5.

Therefore the linear equation is : y=\frac{-5}{3}x +5.

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