Answer:
9
Step-by-step explanation:
→You can use the Pythagorean Theorem to solve this, by plugging in the numbers, like so:
\begin{gathered}a^2+b^2=c^2\\x^2+(x-3)^2=(x+3)^2\end{gathered}
a
2
+b
2
=c
2
x
2
+(x−3)
2
=(x+3)
2
x^2+x^2-6x+9=x^2+6x+9x
2
+x
2
−6x+9=x
2
+6x+9
→Subtract x^2-6x+9x
2
−6x+9 from both sides:
x^2 = 12xx
2
=12x
→Subtract 12x from both sides:
x^2 -12x=0x
2
−12x=0
→Factor out x:
x(x-12)=0x(x−12)=0
→Separate, set = to 0, and solve:
\begin{gathered}x = 0\\x -12=0\end{gathered}
x=0
x−12=0
→ Add 12 to both sides: x = 12x=12
→So we have 0 and 12, as our answers. However, we cannot have 0 as a side length, since this would not be possible.
→All we need to do is take 12, and plug it into the equation for the shortest leg.
\begin{gathered}x - 3=?\\12-3=9\end{gathered}
x−3=?
12−3=9
Answer:
that does not make sense ?????????????????????????????????????????
Hello from MrBillDoesMath!
Answer: The relationship is linear. The equation is y = 2x + 19
Discussion:
When x changes from -7 to -5 ( and increment of of +2), y changes from 5 to 9 ( an increment of +4). When x changes from 5 to -3 (an increment of +2) , y changes from 9 to 13 (an increment of +4)... and so on.....
So far, when x changes by 2, y changes by 4. This means the data falls on a line (so is linear). In fact,
(change in y) / (change in x) = 4/2 = 2 = slope of line.
so y = 2x + b. As the line passes through the point ( -7, 5)
5 = 2 (-7) + b or
5 = -14 + b or ( adding 14 to both sides)
5 + 14 = 19 = b.
Hence the equitation the line is y = 2x + 19
Thank you,
MrB
7w + 4h + 10w + 15h - 2w - 2h
= 15w + 17h
