Answer:
Step-by-step explanation:
4x + 3y = -1 --------------(i)
3x - 9y = 33 -------------(ii)
multiply equation (i) by 3
(i)* 3 12x + 9y = -3
(ii) <u> 3x - 9y = 33</u>
add, 15x = 30
x = 30/15
x = 2
Put x =2 in Equation (i)
4*2 + 3y = -1
8 +3y = -1
3y = -1-8
3y = -9
y = -9/3
y= -3
By using the properties of parallel lines, it can be inferred that -
Corrosponding angle goes in the place of first question mark and substitution property of equality goes in the place of second question mark.
What are parallel lines?
Two lines are said to be parallel if on extending them indefinitely, they will never intersect
Transversal is a line that intersects two or more parallel lines
For the first question mark
[Corrosponding angle]
For the second question mark
[Substitution property of equality]
To learn more about parallel lines, refer to the link-
brainly.com/question/26961508
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Answer:
When increasing the radius 3 times the volume increases 9 times and when it is reduced to a third the volume decreases 9 times
Step-by-step explanation:
We have that the formula for the volume of a cone is:
Vc = pi * (r ^ 2) * h
We first calculate the original volume, where the radius is 2 and the height is 9, replacing:
Vc = 3.14 * (2 ^ 2) * 9
Vc = 113.04
Now if the radius is tripled it would be: 2 * 3 = 6, the radius would be 6, replacing:
Vc = 3.14 * (6 ^ 2) * 9
Vc = 1017.36
If we compare:
1017.36 / 113.04 = 9
This means that when the radius is tripled, the volume increases 9 times.
When if re reduces to a third the radius would be: 2/3, replacing:
Vc = 3.14 * ((2/3) ^ 2) * 9
Vc = 12.56
113.04 / 12.56 = 9
Which means that by reducing it to a third the volume becomes 9 times smaller.
6-z
Z-6 would be wrong because the question said start with 6