Answer:
Step-by-step explanation:
slope =
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
y + 3 = (x - 2) is in this form
with slope m =
Simplifying
2x + -3(3 * 0.6x + 2.7)
Multiply 3 * 0.6
2x + -3(1.8x + 2.7)
Reorder the terms:
2x + -3(2.7 + 1.8x)
2x + (2.7 * -3 + 1.8x * -3)
2x + (-8.1 + -5.4x)
Reorder the terms:
-8.1 + 2x + -5.4x
Combine like terms: 2x + -5.4x = -3.4x
-8.1 + -3.4x
Answer:
x=4/7
Step-by-step explanation:
6 - 2/3(x+5) = 4x
First I want to clear the fraction so I will multiply everything by 3
3*6 -3* 2/3(x+5) = 3*4x
18 - 2(x+5) =12x
Distribute
18 - 2x-10 =12x
Combine like terms
8 -2x = 12x
Add 2x to each side
8 -2x+2x =12x+2x
8 = 14x
Divide each side by 14
8/14 =14x/14
8/14=x
Divide top and bottom by 2
4/7=x
Answer:
5 units
Step-by-step explanation:
(2,6) and (7,6)
Since the y coordinates are the same, we only need to look at the x coordinates
The distance between 2 and 7 is
7-2 =5
5 units
Answer:



Step-by-step explanation:
Given



Required
The measure of each angle
First, we calculate the length of the three sides of the triangle.
This is calculated using distance formula

For AB





So:

For BC





For AC





So, we have:



By representation



So, we have:



By cosine laws, the angles are calculated using:







Collect like terms


Solve for 


Take arc cos of both sides





Collect like terms


Solve for 


Take arc cos of both sides


For the third angle, we use:
--- angles in a triangle
Make C the subject


