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Llana [10]
4 years ago
12

Express the function y=5x^2+15x-2 in vertex form

Mathematics
1 answer:
mina [271]4 years ago
4 0
Y = 5<span><span>(x+<span>32</span>)^</span>2 </span>− <span><span>53/4 (the / is for fraction)</span></span>
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What is the circumference of the following circle?<br> diameter=9cm
Tom [10]

Answer:

The circumference of the following circle is 9π (around 28.274)

Step-by-step explanation:

The circumference can be found by using the following formula, where d is the diameter of the circle...

dπ = 9π ≈ 28.274

7 0
3 years ago
A Ferris Wheel is built such that the height in feet above ground of a seat on the wheel at time t seconds can be modeled by h(t
MAVERICK [17]

Answer:

at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

Step-by-step explanation:

Data provided in the question:

height in feet above ground of a seat on the wheel at time t seconds is

modeled as

h(t) = 53 + 50\sin((\frac{\pi t}{16} - \frac{\pi}{2})

now,

at height 53 above the ground, we get the equation as:

53 = 53 + 50\sin(\frac{\pi t}{16} - \frac{\pi}{2})

or

50\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 53 - 53

or

\sin(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

also,

sin(0) = 0

and,

sin(π) = 0

therefore,

(\frac{\pi t}{16} - \frac{\pi}{2}) = 0

or

\frac{\pi t}{16} = \frac{\pi}{2}

or

t = 8 seconds

and,

(\frac{\pi t}{16} - \frac{\pi}{2}) = π

or

\frac{\pi t}{16}= \pi + \frac{\pi}{2}

or

\frac{\pi t}{16}= \frac{3\pi}{2}

or

t = 24 seconds

Hence,

the at time, t = 8 seconds and t = 24 seconds Ferris Wheel be 53 feet above the ground

7 0
3 years ago
Which perfect squares does the number 69 falls in between?
riadik2000 [5.3K]

Answer:

64 and 81

Step-by-step explanation:

4 0
3 years ago
What is a definition of a Line ?
solmaris [256]

Answer:

<u><em>noun</em></u>

1. a length of cord, rope, wire, or other material serving a particular purpose.

2. a long, narrow mark or band.

<u><em>verb</em></u>

1. stand or be positioned at intervals along.

2. mark or cover with lines.

4 0
3 years ago
If 24 women can dig a field in 14 days, how long will 16 women take to dig the same field?​
myrzilka [38]
27-28 days, the actual answer is 27.4285714 days, but it depends on how you’re instructed to round your answer
6 0
2 years ago
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