Answer: A
Step-by-step explanation:
C lies below g(x) and f(x), so we need and .
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
To calculate m of AB
m = =
Given a line with slope m then the slope of a line perpendicular to it is
= - = - = -
To find the midpoint of AB use the midpoint formula
M = [ (x₁ + x₂ ), (y₁ + y₂ ) ]
with (x₁, y₁ ) = )0, 0) and (x₂, y₂ ) = (2, 3), thus
M = [ (0 + 2), (0 + 3 )] = (1, )
Partial equation of perpendicular bisector is
y = - x + c
To find c substitute (1, ) into the partial equation
= - + c ⇒ c = + =
y = - x + → D
Answer:
y = 6x - 4
Step-by-step explanation:
Slope formula: y = mx + b
m = slope, found by figuring out the change in y over the change in x. A fancy way to say find the simplest rate of how far up it goes over how far right it goes. In this case, the line goes up 6 for every time it goes right one; 6/1. This can be simplified as 6.
b = y-intercept, meaning where the line crosses the y line. In this line, you can see that it crosses at -4.
Hope this helps!
Let
be the height of the triangle.
Formular for area of Triangle
= ½ × base × height
thus,
Simplifying
Answer:
47
Step-by-step explanation:
follow Pemdas order of operations.
8 + (9 + 23) − 9 + 8 × 6 ÷ 3 =
8 + (32) - 9 + 8 x 6 ÷ 3
8 + (32) - 9 + 16
add and subtract the rest and u get 47