false false false false false
Answer:
- Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
- Steps: add 4 to both sides; collect terms; divide both sides by 3.
Step-by-step explanation:
The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.
Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...
- add 4 to both sides of the equation
- collect terms
- divide by the coefficient of the variable (3)
Executing that plan, the steps are ...
-2x -4 +5x +4 = 8 +4 . . . . add 4
3x = 12 . . . . . . . . . . . . . . . collect terms
x = 4 . . . . . . . . . divide by 3
Answer:
15.65
Step-by-step explanation:
7^2+14^2
49 + 196 = 245
245=c^2
15.65
An equation written in slope-intercept form is y=mx+b, where m is a constant equal to the slope. Parallel lines have the same slope. So a line parallel to y=-2x+3 is y=-2x+5. Perpendicular lines have slopes which are negative reciprocals of each other. So a line perpendicular to y=-2x+3 is y=1/2x+7. y=2x-1 is neither parallel of perpendicular to y=-2x+3.
Answer:
19 degrees
Step-by-step explanation:
From the question given
The interior angles are x+12 and x - 3
Exterior angle is <IJK = 5x-6
Using the rule that states that the sum of interior angle of a triangle is equal to the exterior
<JHI + <HIJ = <IJK
x+12 + x-3 = 5x - 6
2x+9 = 5x -6
2x - 5x = -6-9
-3x = -15
x = -15/-3
x = 5
Get <IJK
Recall that <IJK = 5x - 6
<IJK = 5(5) - 6
<IJK = 25-6
<IJK = 19 degrees
Hence the measure of <IJK is 19 degrees
