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
Answer:
1 / 18
Step-by-step explanation:
In a roll of two dice :
Number of faces on a dice = 6
Total sample space for 2 6-sided dice = (number of faces)^Number of dice = 6^2 = 36
Total possible outcomes = 36
Required outcome = sum of 11
11 = {(5,6) ; (6, 5)}) = 2 possibilities
Probability = required outcome / Total possible outcomes
P(obtaining a sum of 11) = 2 / 36 = 1/18
Answer:
1.50x=18
Step-by-step explanation:
you need to figure out how many you can buy, so we will put x in there and it will all equal 18, therefore heres that equal sign. so yeh.
Answer:
54.5°
Step-by-step explanation:
You know that in a right triangle, the sine of an angle is given by ...
Sin = Opposite/Hypotenuse
sin(D) = EF/ED = 57/70
The inverse sine function is used to find the angle:
∠D = arcsin(57/70)
∠D ≈ 54.5°
