Answer:
3. 2x + y = 21.
Step-by-step explanation:
3. The diagonals of a rhombus are perpendicular and bisect each other.
So the slope of line AC = -1/m
= -1 / 1/2 = -2.
AC has coordinates (5, 11) so using the point-slope form of a line:
y - 11 = -2(x - 5)
y = -2x + 10 + 11
2x + y = 21.
5. Line L:
x + 2y = 12
2y = -x + 12
y = -1/2x + 6
The slope is -1/2 so the slope m of M is -1 / -1/2 = 2.
Answer:
B
Step-by-step explanation:
Reflection over the line y=0, if you look at your given pre image and image. You can see both images are between the y axis line. Also if you count the units from pre image and image you can see the Reflection over the y:0 line.
Answer: 95 feet
Step-by-step explanation:
Let the length of the horizontal run be represented by x.
Slope Grade = (Rise/Run) × 100
20 = (19/x) × 100
20 = 1900/x
20x = 1900
x = 1900/20
x = 95
Therefore, the length of the horizontal run must be 95 feet
When it comes to laplace equations, there are transformation equations to follow. Generally, when you want to transform a laplace equation, you change the equation from f(t) to F(s). If you do the reverse, it is called the reverse laplace equation.
Based on the given, the useful transformation equation is shown in the attached picture. The given equation is
Breaking it into partial fractions,
From the given transformation equation:
-1/s ⇔ -e^0t ⇔ 1
1/(s-5) ⇔ e^-(-5t) ⇔ e^5t
1/(s-6) ⇔ e^-(-6t) ⇔ e^6t
1/(s-30) ⇔ e^-(-30t) ⇔ e^30t
Therefore, the laplace equation is equal to 1*e^5t*e^6t*e^30t which is simplified into
e^41t,