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AleksAgata [21]
3 years ago
12

What is the simplified form of √45

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

Answer:

3√5

Step-by-step explanation:

The largest perfect square of the factors of 45 is 9. We can therefore convert √45 like this:

√9 × 5

Next, we separate the numbers inside the √ as such:

√9 × √5

√9 is a perfect square that equals 3. We can therefore put 3 outside the radical and get the final answer to square root of 45 in simplest radical form as follows:

3√5

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Jordan will hike the trail at a rate of 4mph. Write a linear equation to represent the distance Jordan still has to walk after x
goldfiish [28.3K]

The linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.

The y-intercept represents the total distance Jordan has to walk.

<h3>What is the distance?</h3>

Distance is defined as the product of speed and time.

We have to determine the distance.

So distance = speed× time

Given that his speed is 4 mph and x hours of walking, then:

So distance = 4 × x

Let it Start of the trail: 0 miles

And the end of the trail: 18 miles​

The trail length is 18 miles, so if he walked 1 mile, 18 - 1 = 17 miles are left, in general:

⇒ y = 17 - 4(x)

Here y would be the distance Jordan still has to walk.

The y-intercept would be if substitute x = 0, then:

⇒ y = 17- 4(0)

⇒ y = 17

This represents the total distance Jordan has to walk

Hence, the linear equation would be y = 18 - 4x which represents the distance Jordan still has to walk after x hours.

The y-intercept represents the total distance Jordan has to walk.

Learn more about the distance here:

brainly.com/question/13269893

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1 year ago
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Round your answer to the nearest hundredth.<br><br> 13.48x − 200 &lt; 256.12
wolverine [178]

Answer:

<h2>x < 33.84</h2>

Step-by-step explanation:

13.48x − 200 < 256.12

Using the addition property , add 200 to both sides

That's

13.48x + 200 - 200 < 256.12 + 200

13.48x < 456.12

<u>Divide both sides by 13.48</u>

\frac{13.48x}{13.48}   <   \frac{456.12}{13.48}  \\ x  <  \frac{456.12}{13.48}  \\  \:  \:  \:  x  <  33.83679

We have the final answer as

x < 33.84 to the nearest hundredth

Hope this helps you

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Step-by-step explanation:

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