Answer:
7.84 × 10
^7
Step-by-step explanation:
Answer:
A. -[ln(0.5)/6,300]
Step-by-step explanation:
Done on apex, it is correct.
Answer:
y=4x-3
Step-by-step explanation:
Answer:
(x,-y): (2,-2)
Step-by-step explanation:
M=(x+x)/2,(y+y)/2
Given (1,4)=
![\frac{3x - 4}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3x%20-%204%7D%7B2%7D%20)
This implies:
![1 = \frac{3x - 4}{2}](https://tex.z-dn.net/?f=1%20%3D%20%20%5Cfrac%7B3x%20-%204%7D%7B2%7D%20)
![3x - 4 = 2 \\ 3x = 2 + 4 \\ \frac{3x }{3} = \frac{6}{3} \\ x = 2](https://tex.z-dn.net/?f=3x%20-%204%20%3D%202%20%5C%5C%203x%20%3D%202%20%2B%204%20%5C%5C%20%20%5Cfrac%7B3x%20%7D%7B3%7D%20%20%3D%20%20%5Cfrac%7B6%7D%7B3%7D%20%20%5C%5C%20x%20%3D%202)
In a similar way,
![4 = \frac{ - 2 + 5y}{2} \\ - 2 + 5y = 8 \\ 5y = 10 \\ y = 2](https://tex.z-dn.net/?f=4%20%3D%20%20%5Cfrac%7B%20-%202%20%2B%205y%7D%7B2%7D%20%20%5C%5C%20%20-%202%20%2B%205y%20%3D%208%20%5C%5C%205y%20%3D%2010%20%5C%5C%20y%20%3D%202)
The question demanded (x,-y)
Hence(2,-2) is the answer
One property of the diagonals of a rhombus is that they are perpendicular bisectors of each other. So 4 congruent right triangles will be formed when you draw the two diagonals. Considering one right triangle, we can solve for the two sides by dividing them by 2.
24 ft/ 2 = 12 ft
18 ft/ 2 = 9 ft
Using the Pythagorean Theorem, we can now solve for the hypotenuse which is the side of the rhombus.
side = √(12²+9²) = 15 ft
The answer is B.