Hi, there!
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To find the missing side length of this triangle (which is a <em>right</em> triangle), we'll use Pythagoras' Theorem.
![-\!\!\!-\!\!\!-\!\!\!\longrightarrow\boldsymbol{a^2+b^2=c^2}](https://tex.z-dn.net/?f=-%5C%21%5C%21%5C%21-%5C%21%5C%21%5C%21-%5C%21%5C%21%5C%21%5Clongrightarrow%5Cboldsymbol%7Ba%5E2%2Bb%5E2%3Dc%5E2%7D)
Here,
![\textsc{legs:}\begin{cases} \bold{a}\\\bold{b} \end{cases}](https://tex.z-dn.net/?f=%5Ctextsc%7Blegs%3A%7D%5Cbegin%7Bcases%7D%20%5Cbold%7Ba%7D%5C%5C%5Cbold%7Bb%7D%20%5Cend%7Bcases%7D)
Hypotenuse (the longest side): c
We know that
![\bold{a=2 \ and \ b=28}](https://tex.z-dn.net/?f=%5Cbold%7Ba%3D2%20%5C%20and%20%5C%20b%3D28%7D)
So, we can substitute our parameters, and solve for c.
square 2 and 28
add the numbers
square root both sides
![\bold{\sqrt{788}=c}](https://tex.z-dn.net/?f=%5Cbold%7B%5Csqrt%7B788%7D%3Dc%7D)
Hope the answer - and explanation - made sense,
happy studying!!
Answer:
Step-by-step explanation:
5. You are asked to write an equation of the line in slope-intercept form, so you need to determine the slope of the line and the y-intercept.
You're lucky. One of the points, (0,1), has an x-coordinate of 0, so you know that the y-intercept is 1.
Use the coordinates of the points to determine the slope of the line.
slope = (difference in y-coordinates)/(difference in x-coordinates) = (10-1)/(3-0) = 9/3 = 3
The slope-intercept equation of the line is y = 3x+1
:::::
7. When x = 0, function A = 0 and function B = 3, so function B has a greater initial value.
Answer:
0.76 or 76%
Step-by-step explanation:
Please kindly check the attached files for details
Answer:
r > 2
Step-by-step explanation:
9-3 = 6
6/3 = 2
Have a good day :)