Answer:
70
Step-by-step explanation:
k = 6(-5)+100 = -30+100 = 70
<h3>
Answer: 10 square units</h3>
Work Shown:
base = 4
height = 5
area of triangle = (1/2)*base*height = (1/2)*4*5 = 10
The dot can be dragged to the left so that the dashed height line is inside the triangle. No matter where you drag the green dot, the height stays the same and so does the area.
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:
( 3x - 2, 2x ± yx ) ± 1
Step-by-step explanation:
Answer:
The width is 5 meters
Step-by-step explanation:
The rectangular field is 24 meaning adding just one width and length of the rectangle would be 12.
x = width
2x - 3 + x = 12
3x - 3 = 12
3x - 3 + 3 = 12 + 3
3x = 15
x = 5
