Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
Step-by-step explanation:
p = 0.1, q = 0.9, n = 7
a) Use complementary probability.
P(at least 1) = 1 − P(0)
P(at least 1) = 1 − (0.9)⁷
P(at least 1) = 0.522
b) Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
P(3) = ₇C₃ (0.1)³ (0.9)⁴
P(3) = 0.023
Answer:
40°
Step-by-step explanation:
As sum of angles of the triangle is 180°
therefore the third angle will be 180 -( 75 + 65)=40°
x=40°= vertically opposite angle
Answer:
100.584 KILOMETERS
Step-by-step explanation: cause i know it ❤
hope you get it right! love ya stranger
Answer:
Velocity of the 24.6 g marble is 31 cm/s.
Step-by-step explanation:
Given:
Marble 1:
Mass of the marble 
= 12.3 gm
Velocity of 
before collision 
= 15.5 cm/s
Velocity of after collision 
= 77.5 cm/s
Marble 2:
Mass of the marble 
= 24.6 gm
Velocity of 
before collision 
= 62 cm/s
Velocity of after collision 
= ?
From the law of conservation of momentum, we know that momentum before equals the momentum after :
So,
⇒ 
⇒ 
⇒ Plugging the values.
⇒ 
⇒ 
⇒ 
⇒ 
...subtracting both sides 953.25
⇒ 
⇒ 
...dividing both sides with 24.6
⇒ 
⇒ 
cm/s
The velocity of the 24.6 g marble after the collision is 31 cm/s and it will move opposite to of the 12.3 g marbles that is towards left.
