The student completed 13 courses with 3 credit hours.
Step-by-step explanation:
Total credit hours = 59 credits hours
Total courses = 18
Let,
3 credit hours courses = x
4 credit hours courses = y
According to statement;
x+y=18 Eqn 1
3x+4y=59 Eqn 2
Multiplying Eqn 1 by 3
Subtracting Eqn 3 from Eqn 2
Putting y=5 in Eqn 1
The student completed 13 courses with 3 credit hours.
Keywords: linear equation, elimination method
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Given:
In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15
To find:
The scale factor from PQRS to TUVW.
Solution:
We have,
We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.
The scale factor is:
Therefore, the scale factor from PQRS to TUVW is .
Answer:
y= -2x +1
Step-by-step explanation:
<u>slope- intercept form</u><u>:</u>
y= mx +c, where m us the gradient and c is the y-intercept.
Let's find the value of m first using the gradient formula.
Gradient=
y= -2x +c
To find the value of c, substitute a pair of coordinates.
When x= -1, y=3,
3= -2(-1) +c
3= 2 +c
c= 3 -2
c= 1
Thus the equation of the line is y= -2x +1.