Answer:
Step-by-step explanation:
When the equations are written in the same form, the ratio of x coefficient to y coefficient is the same for parallel lines.
These equations in the same form are ...
- 3x +y = -2
- -6x +2y = 4
- 6x +2y = -8
The first and last of these equations have a ratio of x-coefficient to y-coefficient of ...
(x-coefficient)/(y-coefficient) = 3/1 = 6/2
so the lines are parallel.
The second equation has a ratio that is the opposite of this.
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<em>Alternate approach</em>
You can put each equation into slope-intercept form (solve for y). The x-coefficient is then the slope of the line. Parallel lines** have equal slopes.
- y = -3x -2 **
- y = 3x +2
- y = -3x -4 **
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I find a graphing calculator to be a big help for many problems involving equations and their characteristics.
Answer:
Step-by-step explanation:
<u>Proportional Model</u>
The number of miles m that Lexus can skateboard in t minutes can be modeled by:
m = kt
It's given that Lexus skateboard from his house to school for a distance of m=4 miles in t=20 minutes.
Substituting:
4 = k.20
Dividing by 20
Simplifying:
This produces the model
The diagram shows that FG = IJ are congruent segments due to the double tickmarks. These are the hypotenuses of the right triangles.
So that takes care of the "H" in "HL".
The L stands for "leg", so we need to have a congruent pair of corresponding legs.
Due to the orientation of the triangles, it's not clear how the corresponding legs match up, but if any of the following is true
- EF = IK
- EF = JK
- EG = IK
- EG = JK
then we'd have enough to use HL.
Answer:
Area= 50.24 squared cm.
Circumference= 25.12 cm.
Step-by-step explanation:
To find the area of a circle- A= 3.14*(4 cm squared). ( The 4 cm is your radius. Half of the diameter.) After you square your radius you get 16cm squared. You then go onto multiply the 16 cm squared by 3.14 to get 50.24 cm squared.
To find the circumference of a circle- C= 2*(3.14)*(4cm). (Again the 4cm is your radius. Half of the diameter.) After you multiply the 2 and 3.14 you get 6.28. You then multiply the 6.28 by 4 cm to get 25.12 cm.
It is a multiplication sign. *
I hope I helped.
