Answer:
B
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 )
Rearrange 2x + 3y = 4 into this form
Subtract 2x from both sides
3y = - 2x + 4 ( divide all terms by 3 )
y = -
x +
← in slope- intercept form
with slope m = - 
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, hence
y =
x + c ← is the partial equation of the perpendicular line
To find c substitute (- 2, 15) into the partial equation
15 = - 3 + c ⇒ c = 15 + 3 = 18
y =
x + 18 → B
Answer:
y= -1x + 2
Step-by-step explanation:
-4/4 is the same as saying -1. slope always has to be in the simplest form.
Answer:
Angle CAB
Step-by-step explanation:
Find the points that correspond to angle 2 and name them in order.
4- 2/3 (4-1/6) divided by 3/4
parenthesis first
4 - 2/3 (3 5/6) divided by 3/4
change to an improper fraction (6*3+5)/6
4 - 2/3 ( 23/6)divided by 3/4
4 - 46/18 divide by3/4
copy dot flip
4 - 46/18 * 4/3
4 - 23/9 * 4/3
4 - 92/27
get a common denominator of 27
4*27/27 -92/27
108/27 - 92/27
16/27
Answer:
Step-by-step explanation:
All the sides are complete, hence we can use the information given to find just 1 triangle
Triangles
From the given information, we have that:
m<B = pi/6 = 30 degres
c = 10
b = 5
This shows that we can use the cosine rule to find the third side b of the triangle. Since all the sides are complete, hence we can use the information given to find just 1 triangle