<h2><u>Problem</u>:-</h2>
3.) If y varies directly as x and y = 24 when x = 6, find the variation constant and the equation of variation.
<h2><u>Solution</u>:-</h2>
A. Express the statement “y varies directly as x”, as y = kx .
B. Solve for k by substituting the given values in the equation.
<h2><u>Answer</u>:-</h2>
- Therefore, the constant of variation is 4.
C. Form the equation of the variation by substituting 4 in the statement y = kx. Thus , <u>y = 4 x.</u>
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#CarryOnMath⸙
Answer:
Step-by-step explanation:
<u>Circumference formula:</u>
- C = 2πr,
- where π = 3.14, r - radius
1.
- C = 18.8 in
- 2*3.14r = 18.8
- 6.28r = 18.8
- r = 18.8/6.28
- r = 2.99 ≈ 3 in
2.
- C = 22 in
- 6.28r = 22
- r = 22/6.28
- r ≈ 3.5 in
If you apply two translations, then order doesn't matter. However, if you apply a translation and a rotation, then the order will matter because you'll be able to get two different image outputs. So it depends on what the transformations are.
Answer: Sometimes
Answer:
The value of y = 62°
and x = 50°
Step-by-step explanation:
=> 57° + y + 61° = 180°
=> 118° + y = 180°
=> y = 180° - 118
=> y = 62°
Now ,
x° + y° + 67° = 180° { sum of angles of a triangle is 180° }
=> x° + 62° + 68° = 180°
=> x + 130° = 180°
=> x = 180° - 130°
=> x = 50°
Steps to solve:
0.3x = 15
~Divide 0.3 to both sides
0.3x/0.3 = 15/0.3
~Simplify
x = 50
This is a vertical line so the slope is undefined.
The line passes through the point (50, 0) and there is no y-intercept since its a straight vertical line.
Best of Luck!
