Answer:
1) 6+7=42
2) Beginning (0,0,-25) end (0,-20,-25)
Step-by-step explanation:
1) Plot these point on graph. By this you can determine the fourth coordinate(-3,4) as it is a rectangle.
So, length =7
breadth =6
area =7*6 =42
2) Here height of rack is 25 feet thus it's Z coordinate is -25.
It moved 20 feet south along Y axis thus Y coordinate = -20
No movement in X thus x coordinate =0
Thus , beginning (0,0,-25) end (0,-20,-25)
Answer: x=0.25
Step-by-step explanation: 1−8x=−16x2
Simplify both sides of the equation.
−8x+1=−16x2
Subtract -16x^2 from both sides.
−8x+1−−16x2=−16x2−−16x2
16x2−8x+1=0
16x2+−8x+1=0
Use quadratic formula with a=16, b=-8, c=1.
x=
−b±√b2−4ac
2a
x=
−(−8)±√(−8)2−4(16)(1)
2(16)
x=
8±√0
32
x=0.25
Answer:
<u><em>Variable terms:</em></u>
x and y
<u><em>Constant terms:</em></u>
7 and -9
<u><em>Coefficient terms:</em></u>
-5.6 and 24
Given:
Cards labelled 1, 3, 5, 6, 8 and 9.
A card is drawn and not replaced. Then a second card is drawn at random.
To find:
The probability of drawing 2 even numbers.
Solution:
We have,
Even number cards = 6, 8
Odd numbers cards = 1, 3, 5, 9
Total cards = 1, 3, 5, 6, 8 and 9
Number of even cards = 2
Number of total cards = 6
So, the probability of getting an even card in first draw is:



Now,
Number of remaining even cards = 1
Number of remaining cards = 5
So, the probability of getting an even card in second draw is:


The probability of drawing 2 even numbers is:



Therefore, the probability of drawing 2 even numbers is
. Hence, the correct option is (b).