Answer:
The midpoint M is (5,7)
Step-by-step explanation:
U(8,9)
V(2,5)
m = [(8+2)/2 , (9+5)/2]
= [(10/2) , (14/2)]
= (5,7)
(Correct me if i am wrong)
Answer: True, False, False, False, False
<u>Step-by-step explanation:</u>
a) 5x - 7(x - 1)
5x - 7x + 7
-2x + 7 ⇒ a = -2, b = 7 <em>One Solution</em>
b) 3(x - 5) - 7
3x - 15 - 7
3x - 22 ⇒ a = 3, b = -22 <em>One Solution</em>
c) 2 - 7x + 3 + 4x
4x - 7x + 3 + 2
-3x + 5 ⇒ a = -3, b = 5 <em>One Solution</em>
d) -3(x - 3) - 1
-3x + 9 - 1
-3x + 8 ⇒ a = -3, b = 8 <em>One Solution</em>
e) -5x + 2 + 2x + 4
-5x + 2x + 2 + 4
-3x + 6 ⇒ a = -3, b = 6 <em>One Solution</em>
Ax+bx−c=0
Step 1: Add c to both sides.
ax+bx−c+c=0+c
ax+bx=c
Step 2: Factor out variable x.
x(a+b)=c
Step 3: Divide both sides by a+b.
x(a+b)a+b=ca+b
x=ca+b
The quotient of a number and 15
Answer:
1/6; 1/2; 1/12; P(T|3) = 1/2; therefore, events are independent because P(T|3) = P(T).
Step-by-step explanation:
The probability of rolling a 3 on a six-sided die is 1/6. This is because there is one 3 out of 6 possibilities.
The probability of flipping a coin on tails is 1/2. This is because there is one side "tails" out of 2 possibilities.
The probability of rolling a 3 and flipping tails is 1/6(1/2) = 1/12.
P(T|3) = P(3 and Tails)/P(3) = 1/12 / (1/6) = 1/12(6/1) = 6/12 = 1/2
Since P(T|3) = P(3), these are independent events.
