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Scrat [10]
3 years ago
9

A line has a slope of –3 and a y-intercept of (0, –1). What is the equation of the line that is parallel to the given line and p

asses through the point (–3, 1)?
Mathematics
1 answer:
elena-s [515]3 years ago
7 0
The equation of the parallel line is y= -3x -3
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The height H metres of a ball projected upwards t seconds after being projected is given by H=64t - 16t². Find it's initial velo
nordsb [41]

Answer:

initial velocity = 64 m/s

Step-by-step explanation:

Differentiate H = 64t - 16t² to find an equation for velocity:

Velocity = \frac{dH}{dt} = 64 - 32t

Initial velocity (u) is when t = 0:

   u = 64 - 32(0)

⇒ u = 64 - 0

⇒ u = 64 m/s

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2 years ago
How is the counting principle mathematically used?
Paha777 [63]

Answer: multiplying outcomes

Step-by-step explanation:

5 0
3 years ago
The volume V of a solid right circular cylinder is given by V = πr2h where r is the radius of the cylinder and h is its height.
emmainna [20.7K]

Answer:

8.20in³

Step-by-step explanation:

Given V = πr²h

r is the radius = 1.5in

h is the height = 6in

thickness of wall of the cylinder dr = 0.04in

top and bottom thickness dh 0.07in+0.07in = 0.14in

To compute the volume, we will find the value of dV

dV = dV/dr • dr + dV/dh • dh

dV/dr = 2πrh

dV/dh = πr²

dV = 2πrh dr + πr² dh

Substituting the values into the formula

dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14

dV = 2π (0.36)+π(1.89)

dV = 0.72π+1.89π

dV = 2.61π

dV = 2.61(3.14)

dV = 8.1954in³

Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)

7 0
3 years ago
What is the missing number in this pattern? 1, 1, 2, 3, 5, 8, 13,
eimsori [14]
The next number would be 8+13 = 21
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Name two pairs of supplementary angles in the diagram.
Ipatiy [6.2K]

Answer:

Step-by-step explanation:

α + β = 180°

∠BFE and ∠FBC

∠CEF and ∠BCE

6 0
3 years ago
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