The equation 
shows that the diagonals are congruent perpendicular bisectors.
The vertices of the square are given as:
- c = (1,1)
- d = (3,1)
- e =(3,-1)
- f = (1,-1)
<h3>How to determine the
congruent perpendicular bisectors.</h3>
Start by calculating the slope of diagonal ce using:
So, we have:
Next, calculate the slope of diagonal df using:
So, we have:
The slopes of both diagonals are:
By comparing both slopes, we have:
i.e.
Hence, shows that the diagonals are congruent perpendicular bisectors.
Read more about perpendicular bisectors at:
brainly.com/question/11006922
Answer:
Poultry:145 Seafood: 155 Ground meat: 165 ready to eat food : 135 Whole cut beef and pork :165
Explanation:
There you go hope i helped
Answer:
4
Step-by-step explanation:
2 (6 x + 4) - 6 + 2 x = 3 (4 x + 3) + 1
12x + 8 - 6 + 2x = 12x + 9 + 1
12x + 2 + 2x = 12x + 10
2x + 2 = 10
2x = 10 - 2
2x = 8
x = 4
Answer:
A) Cm = 2.232 s/mm²
B) Time taken to solidify = 74.3 seconds
Explanation:
(A) Since a side is 50mm and all sides of a cube are equal, thus, Volume of the cube is;V = 50 x 50 x 50 = 125,000 mm³
There are 6 faces of the cube, thus Surface Area A = 6 x (50 x 50) = 15,000 mm²
So, Volume/Area = (V/A) = 125,000/15,000 = 8.333 mm
Cm is given by the formula; Cm =[Tts] /(V/A)² where Tts is time taken to solidify and it's 155 seconds in the question. Thus;
Cm = 155/(8.333)²= 2.232 s/mm²
(B) For;Cylindrical casting with D = 30 mm and L = 50 mm.;
Volume of cylinder is;
V = (πD²L) /4
So,V = (π x 30² x 50)/4 = 35,343mm³
Surface area of cylinder is;
A = (2πD²)/4 + (πDL)
Thus, A = ((π x 30²)/2) + (π x 30 x 50) = 6126 mm²
Volume/Area is;
V/A = 35,343/6126 = 5.77 mm
Same alloy and mold type was hsed as in a above, thus, Cm is still 2.232 s/mm²
Since Cm =[Tts] /(V/A)²
Making Tts the subject, we have;
Tts =Cm x (V/A)²
Tts = 2.232 x (5.77)² = 74.3 seconds
