Answer:
-2
Step-by-step explanation:
The slope is always the coefficient of x divided by the coefficient of y (if they are on opposite sides of the "=")
SO...
-2/1 = -2 = Slope
In this problem, an angle like angle BAC where the
vertices like on the circle itself is called the inscribed angle.
While angle BOC, where O is the center of the circle, is
called the central angle.
Using Proposition III.20 from Euclid's Elements, this is called
the Inscribed Angle Theorem wherein:
∠BOC = 2∠BAC
or ∠BOC / 2 = ∠<span>BAC</span>
Answer:
The correct option is;
B. The difference of 2 perfect squares
Step-by-step explanation:
Solving a quadratic equation using factoring involves finding the factors of the equation that would yield the result of the quadratic equation
In order to find the roots of the quadratic equation, then the result of the factoring must be equal to zero, in which case, the constant terms in the factors are the solutions of the quadratic equation in opposite sign.
For example, we have;
x² - 5² = 11
We subtract 11 from both sides to get;
x² - 5² - 11 = 11 - 11
x² - 36 = 0
x² - 6² = 0
(x - 6) × (x + 6) = 0
Therefore, x = 6 or -6 which are the opposite sign of the constant terms in the factor.
Answer:
a) 5:3
b) 25:12
c) 1:2
Step-by-step explanation:
a) 20:12 = 20/12 = 10/6 = 5/3 = 5:3
b) 25:12 -> cannot be simplified so -> 25:12 itself
c) 10:20 = 1/2 = 1:2
Answer:
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A
Step-by-step explanation:
- Parallel lines have equal slopes and different y-intercepts
- The rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m =
In the given figure
∵ The blue line passes through points A and B
∵ A = (-4, -2) and B = (4, 4)
∴ x1 = -4 and y1 = -2
∴ x2 = 4 and y2 = 4
→ Substitute them in the rule of the slope
∵ m(AB) = 
= 
= 
= 
∴ The slope of line AB is
∵ The green line passes through points C and D
∵ C = (0, -3) and D = (4, 0)
∴ x1 = 0 and y1 = -3
∴ x2 = 4 and y2 = 0
→ Substitute them in the rule of the slope
∵ m(CD) = 
= 
=
∴ The slope of line CD is
∵ The slope of line AB = the slope of line CD
∵ Parallel lines have the same slope
∴ AB // CD
∴ AB and CD are parallel lines
The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"
