BC means B times C
B=-4
C=2
B times C=-4 times 2=-8
Answer:
B. y = -3/4x + 5/2
Step-by-step explanation:
Take two points from the graph, let's use (-2, 4) and (2, 1):
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (1 - 4) / (2 - (-2))
= -3/4
Find y-intercept using slope above and anyone point:
y = mx + b
(1) = -3/4(2) + b
1 = -3/2 + b
b = 1 + 3/2
b = 5/2
Equation of line using m and b above:
y = mx + b
y = -3/4x + 5/2
We know angle P is 90 degrees because of Thales Theorem, and angle N is 60 degrees. Because the angles in a triangle have to add up to 180 degrees, angle PMN has to be 30 degrees.
Angle QMO is half of angle PMN, so it's 15 degrees. Angle MQO is equal to angle QMO because the radii make Triangle OQM isosceles, so angle MQO is 15 degrees.
Answer:
x = 50°, y = 50°
Step-by-step explanation:
⇒ x + x + 80° = 180°
⇒ 2x = 180° - 80° = 100°
⇒ x = 100°/2 = 50° ∴ y = x = 50°
The first thing you need to do is multiply the a and c values. in this problem a is 3 and c is 4. 3x4 is 12. now you need to find the factors of 12 and find a set that add to the b value (-8). -2 + -6 is -8 and -2 x -6 is 12. now you replace -8x with -2x and -6x. now you need to factor by grouping. so first is 3x^2 -6x. you factor out the gcf between the two. in this case it us 3x. so now you have 3x(x-2). now you need to factor the other side of the equation (-2x +4). for this problem you need to factor out a -2, rather then 2, because it needs to be the same as the first half. so you factor out the -2 and get -2(x-2). then you just combine the two so you get (3x-2)(x-2). hope this helped. i also attached a picture of the work. :)