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lutik1710 [3]
3 years ago
11

Write Algebraic Expressions

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0
X-9=Tony Her amount minus the nine fewer dollars is his amount.
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PLSSSS HELPPP MEEEEEE
Brrunno [24]

Hi, I'm happy to help!

Parallel means that two lines are lined up in the same directions and will never intersect even if they were extended forever in directions.

Let's look at the first option of AB, and AD. We can see that both lines intersect at point A, so AB and AD are not parallel.

For the next option of CD and BE, we can see that both lines don't intersect and won't ever even if the lines were extended. So, CD and BE are parallel.

For the third option, we have BC and DE. These lines don't intersect and aren't in line to ever do so. Therefore, BC and DE and parallel.

The last option is AD and BC. These two lines will never meet, but, they aren't line up in the same directions. AD is traveling upwards while BC isn't. Think about being able to make a road out of the two lines, it would never work. AD and BC are not parallel.

<u>To sum it up: You should select the 2nd and 3rd options because those lines are parallel.</u>

<u></u>

I hope this was helpful, keep learning! :D

7 0
3 years ago
A model rocket is launched with an initial upward velocity of 202 ft/s. The rocket's height h (in feet) after t seconds is given
7nadin3 [17]
<h2>Hello!</h2>

The answer is:

The rocket will reach a height of 82 feet at:

t1=0.42s

and

t2=12.21s

<h2>Why?</h2>

We are asked to find the value(s) of t for which the rocket's height is 82 feet, so, we need to replace the height value (82 feet) into the given quadratic equation, and then, isolate "t" making the equation equal to 0.

So, writing the quadratic formula, we have:

\frac{-b+-\sqrt{b^{2} -4ac} }{2a}

The given function is:

-16x^2+202x=h

Substituting h equal to 82 feet, we have:

-16x^2+202x=82

-16x^2+202x-82=0

Where,

a=-16\\b=202\\c=-82

Then, substituting it into the quadratic equation we have:

\frac{-b+-\sqrt{b^{2} -4ac} }{2a}=\frac{-202+-\sqrt{202x^{2} -4*-16*-82} }{2*-16}\\\\\frac{-202+-\sqrt{202x^{2} -4*-16*-82} }{2*-16}=\frac{-202+-\sqrt{40804-5248} }{-32}\\\\\frac{-202+-\sqrt{40804-5248} }{-32}=\frac{-202+-\sqrt{35556} }{-32}=\frac{-202+-(188.56) }{-32}\\\\t1=\frac{-202+(188.56) }{-32}=0.42\\\\t2=\frac{-202-(188.56) }{-32}=12.205=12.21

So, the rocket will reach a height of 82 feet at:

t1=0.42s

and

t2=12.21s

Have a nice day!

5 0
3 years ago
What is the LCM of two numbers that have no common factors greater than 1
rodikova [14]
If two numbers have no common factor greater then one, then their LCM is the two numbers multiplied together. Example: 9 and 14 have no common factors. Their LCM <span>is 9 x 14, which is 126.</span>
8 0
3 years ago
Evaluate the following question for f(3). f(x)=6(x-1)+9
Mars2501 [29]

Answer:

21

Step-by-step explanation:

f(3) = 6(3-1)+9 = 21

Topic: Functions

If you like to venture further, feel free to check out my insta (learntionary). I'll be constantly posting math tips and notes! Thanks!

6 0
3 years ago
Read 2 more answers
There are 45 rose bushes currently in the park. Park workers will plant more rose bushes today. When the workers are finished th
stepan [7]

Answer:

9 rose bushes have been planted

3 0
3 years ago
Read 2 more answers
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