You need to understand Rise over Run (r/r) to find these equations.
Rise over run works by counting how far a point on the line is from another.
You do this by first counting how much higher or lower a point is from another then how far it is from the left or right side.
So to answer the equation for #2,
Your Rise over Run is: 3/4
Which translates to Y = 4x + 3
Finding line #1 is actually much easier. All you need to know is how far up it is, which is 8 units
So that’s just Y = 8
Finding a slope parcel to the 2nd line is a lot easier than you might think.
We know the slope of line #2 is Y = 4x + 3.
Parallel means if two lines were next to each other and kept going, they won’t intercept. Like the equals sign, =.
So to find a parallel line, you can just add or subtract the same number from Y to X
Y = 4x + 3
4x + 2 = 6x
3 + 2 = 5
=
Y = 6x + 5
Answer:
Graph B
Step-by-step explanation:
Linear graphs move in one straight line in one direction. Graph B is not a straight line and it does not move in one direction.
Answer:
u = 40° , v = 40° and x = 100°
Step-by-step explanation:
i) from the rule of triangle we know that the sum of all three angles = 180°
ii) 100° + 40° + y = 180°. Therefore y = 40°. where y is the angle adjacent to v.
iii) from theorem on parallel lines we can say that u = y =40°
iv) from the properties of parallel lines we get v = 40° as interior alternate angles are equal.
v) again from the properties of parallel lines we get u = 40°
vi) using the triangle property as in i) we can see that u + v + x =180° therefore 40° + 40° + x = 180°. Therefore x = 100°.
vii) Therefore u = 40° , v = 40° and x = 100°
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For this case, the first thing you should do is apply the following formula:
V = (pi * r ^ 2 * h) / (3)
Where,
r: radio
h: height
Substituting values we have:
V = (3.14 * (9 ^ 2) * 2) / (3)
V = 169.56
Rounding:
V = 169.6 units ^ 3
Answer:
the volume of the cone is:
B. 169.6 units cubed