Answer:
Let x = 1
LHS: -4(1)+(-2)=-4+(-2)=-6
RHS:3(1)+(-5)=3+(-5)=-2
Therefore -4x+(-2) is not equal to 3x+(-5)
4.5 cups to ounces is 36 fluid ounces.
Answer:
is it asking how many times u would get then number 5 when u roll or asking how you would expect for the first 5 rolls?
Answer:
44664.59503
Step-by-step explanation:
Hello,
In this question, you're asked to find the radical of a number. However in mathematics, the radical of a number simply means "√" and not directly square root of that number, its could be the cube root "³√" or even the fourth root "⁴√".
In this case, we're asked to find the 3 radical of p/q which means 3√(p/q)
P = 2.78×10¹¹
Q = 3.12×10⁻³
p / q = 2.78×10¹¹ / 3.12×10⁻³
p / q = 8.91×10¹³
The 3 radical = 3√(8.91×10¹³)
3√(p/q) = 44664.59503
Answer:
- The sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is <u>translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis</u>.
Explanation:
By inspection (watching the figure), you can tell that to transform the triangle XY onto triangle X"Y"Z", you must slide the former 5 units to the left, 1 unit down, and, finally, reflect it across the x-axys.
You can check that analitically
Departing from the triangle: XYZ
- <u>Translation 5 units to the left</u>: (x,y) → (x - 5, y)
- Vertex X: (-6,2) → (-6 - 5, 2) = (-11,2)
- Vertex Y: (-4, 7) → (-4 - 5, 7) = (-9,7)
- Vertex Z: (-2, 2) → (-2 -5, 2) = (-7, 2)
- <u>Translation 1 unit down</u>: (x,y) → (x, y-1)
- (-11,2) → (-11, 2 - 1) = (-11, 1)
- (-9,7) → (-9, 7 - 1) = (-9, 6)
- (-7, 2) → (-7, 2 - 1) = (-7, 1)
- <u>Reflextion accross the x-axis</u>: (x,y) → (x, -y)
- (-11, 1) → (-11, -1), which are the coordinates of vertex X"
- (-9, 6) → (-9, -6), which are the coordinates of vertex Y""
- (-7, 1) → (-7, -1), which are the coordinates of vertex Z"
Thus, in conclusion, it is proved that the sequence of transformations that maps triangle XYZ onto triangle X"Y"Z" is translation 5 units to the left, followed by translation 1 unit down, and relfection accross the x-axis.
