The plane could be:
-perpendicular to the axis --> gives a circle
-parallel to the axis and tangent to the cylinder --> gives a line
-parallel to the axis and not tangent to the cylinder --> gives a pair of parallel lines
-neither perpendicular nor parallel to the axis --> gives an ellipse
Answer:
p = 
and q = 
Step-by-step explanation:
Given equations:
2p - 3q = 4 -----------(i)
3p + 2q = 9 ------------(ii)
Let's solve this equation simultaneously using the <em>elimination method</em>
(a) Multiply equation (i) by 3 and equation (ii) by 2 as follows;
[2p - 3q = 4] x 3
[3p + 2q = 9] x 2
6p - 9q = 12 -------------(iii)
6p + 4q = 18 -------------(iv)
(b) Next, subtract equation (iv) from equation (iii) as follows;
[6p - 9q = 12]
<u> - [6p + 4q = 18] </u>
<u> -13q = -6 </u> -----------------(v)
<u />
<u>(c)</u> Next, make q subject of the formula in equation (v)
q =
(d) Now substitute the value of q = into equation (i) as follows;
2p - 3() = 4
(e) Now, solve for p in d above
<em>Multiply through by 13;</em>
26p - 18 = 52
<em>Collect like terms</em>
26p = 52 + 18
26p = 70
<em>Divide both sides by 2</em>
13p = 35
p =
Therefore, p = and q =
Answer:
<em>This number line has negative and positive integers and that the negative fractions are in between each number so that means one side has positive integers and fractions and one side has negative fractions and integers</em>
Step-by-step explanation:
<em>the black lines would mean where the fractions and decimals are</em>
- <em>Hope this helps</em>
- <em>Hope this right </em>
- <em>Ask questions</em>
Answer:
Step-by-step explanation:
first we are told that side and ae and a f are the same
so that means one side of each triangle is the same
next we are told that that the lines coming off of those sides are both right angles. so we know these are both right triangles
and b/c both of those angle are right angles... the sides ab and ac have to also be the same length.. or the angle could not be a right angle
therefore since two sides are the same length then all 3 must be the same lengths
and b/c all three are the same these two triangles are the same .. congruent
