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3 years ago

How did I get a 2 here (simplifying ratios)

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

4 0

Answer:

$\frac{2x {}^{2} + 14x + 24 }{4 {x}^{2} + 4x - 48 } = \frac{x + 4}{2(x - 2)}$

Step-by-step explanation:

Please see attached picture for full solution.

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A train travels 56 kilometers in 4 hours, and then 90 kilometers in 2 hours. what is its average speed?

ankoles [38]

56 + 90 = 146 kilometers
4 + 2 = 6 hours

rate = 146 km / 6 hour
= 24.333 km / hour

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3 years ago

The foot of a ladder is placed 7 meters from a wall. If the top of the ladder rests 9 meters up on the wall, how long is the lad

nekit [7.7K]

We can find the length of the ladder by squaring the known digits, adding them, and finding the square root of the sum. This would mean our first equation, after squaring, will look like this:

49+81=130

Now that we have <em>c</em> squared, we can go through and find the approximate square root, which is 11.4. That would mean the ladder is 11.4 meters long.

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3 years ago

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2.) Use the Slope Intercept Form of a line to find the equation of the line from point C to point D.

mezya [45]

First we need slope

C=(0,0)
D(7,12)

$\\ \sf\longmapsto m=\dfrac{12-0}{7-0}$

$\\ \sf\longmapsto m=\dfrac{12}{7}$

Put D co-ordinates on y=mx+b

$\\ \sf\longmapsto 12=\dfrac{12}{7}(7)+b$

$\\ \sf\longmapsto 12=12+b$

$\\ \sf\longmapsto b=12-12$

$\\ \sf\longmapsto b=0$

Now

slope intercept form.

$\\ \sf\longmapsto y=\dfrac{12}{7}x$

As b=0

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2 years ago

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PLZ HELP DUE IN 1 HOUR Do you think the mean would be an appropriate measure of center to describe the data shown in the histogr

grigory [225]

Answer:

Step-by-step explanation:

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3 years ago

Verify identity list steps. Cot(t)(1-cos^2(t))=cos(t)sin(t)

storchak [24]

Remember: We have to work from either the LHS or the RHS.
(Left hand side or the Right hand side)

You should already know this:

$\huge{Cot(t) = \frac{1}{tan(t)} = \frac{1}{\frac{sin(t)}{cos(t)}} = 1\div \frac{sin(t)}{cos(t)} = 1\times \frac{cos(t)}{sin(t)}=\boxed{\frac{cos(t)}{sin(t)}}$

You should also know this:

$sin^2(t) + cos^2(t) = 1\\\\\boxed{sin^2(t)} = 1 - cos^2(t)$

So plugging in both of those into our identity, we get:

$\frac{cos(t)}{sin(t)}\cdot sin^2(t) = cos(t)\cdot sin(t)$

Simplify the denominator on the LHS (Left Hand Side)

We get:

$cos(t) \cdot sin(t) = cos(t) \cdot sin(t)$

LHS = RHS

Therefore, identity is verified.

4 0

3 years ago