Step-by-step explanation:
substitution:
7x-9= 3x-1
4x= 8
x=2
Given :
- Area of the trapezium is 140 cm².
- Its height is 10 cm.
- One of the parallel side is 16 cm.
To Find :
Solution :
- Let the other parallel side be x
We know that,
Now, Substituting the given values in the formula :
Therefore,
- The other parallel side of the trapezium is 12 cm.
Step-by-step explanation:
Number of males is
Number of males not enrolled
Number of females not enrolled
(a)
The table based on data is
<u> Enrolled Not enrolled Total </u>
<u>Male 82 36 118 </u>
<u>Female 102 56 158 </u>
Total 184 92 276
(b)
Percentage of students were males that went to magic college
- enrolled male / total students = (use table above)
- 82/276*100% = 29.71% (rounded)
(c)
Percentage of females went to magic college
- enrolled female / total female = (use table above)
- 102/158*100% = 64.56% (rounded)
<u>Note: this answer assumes that the equation of the line must be in slope-intercept form. </u>
Answer:
Explanation:
When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula first. In order to write an equation using this formula, the , , and must be substituted in for real values.
The represents the slope, so write the slope of this equation, -3, in its place. The and represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of
Now, to put it in slope-intercept or form, just expand the right side and isolate :
Therefore, is the answer.