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notsponge [240]
2 years ago
13

Please help thanks!!

Mathematics
1 answer:
MrMuchimi2 years ago
7 0

The correct answer is 3, it is irrational and equal to 5\sqrt{2}.

The first step is to figure out the answer, then we can deduct whether it is rational or not, giving us our answer. To solve this, we first need to simplify \sqrt{32}. \sqrt{32} is equal to \sqrt{2 * 2 * 2 * 2 * 2}, which is equal to 4\sqrt{2}. Now our expression is 4\sqrt{2} + \sqrt{2}. This simplifies to 5\sqrt{2}. Since this expression has a square root, it is irrational, and since the result is 5\sqrt{2}, the answer is 3).

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Find a vector equation and parametric equations for the line through the point (7,4, 5) and parallel to the vector 3i 2j-k .
aleksley [76]

Answer: vector equation r = (7+3t)i + (4+2t)j + (5 - 5t)k

parametric equations: x = 7 + 3t; y = 4 + 2t; z = 5 - 5t

Step-by-step explanation: The vector equation is a line of the form:

r = r_{0} + t.v

where

r_{0} is the position vector;

v is the vector;

For point (7,4,5):

r_{0} = 7i + 4j + 5k

Then, the equation is:

r = 7i + 4j + 5k + t(3i + 2j - k)

<u><em>r = (7 + 3t)</em></u><u><em>i</em></u><u><em> + (4 + 2t)</em></u><u><em>j </em></u><u><em>+ (5 - 5t)</em></u><u><em>k</em></u>

The parametric equations of the line are of the form:

x = x_{0} + at

y = y_{0} + bt

z = z_{0} + ct

So, the parametric equations are:

<em><u>x = 7 + 3t</u></em>

<em><u>y = 4 + 2t</u></em>

<em><u>z = 5 - 5t</u></em>

4 0
3 years ago
Renting a movie from a redbox costs $1.29 each night, plus a one time fee of $.50. How much would it cost for three nights?
den301095 [7]
Take $1.29 times 3(number of nights) and add $.50 = $4.37
4 0
3 years ago
Read 2 more answers
A car travels 80 miles on 5 gallons of gas. How many gallons of gas
dalvyx [7]

Answer:

7 gallons

Step-by-step explanation:

Step 1:

80 : 5 = 112 : x

Step 2:

80x = 560

Answer:

x = 7

Hope This Helps :)

5 0
3 years ago
Simplify the expression c^-6 * d^4/ c^-16 * d^14​
Naily [24]

Answer:

\dfrac{c^{10}}{d^{10}}

Step-by-step explanation:

Although the way you wrote problem, this is not what it looks like, I think this is what you meant.

\dfrac{c^{-6} \times d^{4}}{c^{-16} \times d^{14}} =

= \dfrac{c^{-6}}{c^{-16}} \times \dfrac{d^{4}}{d^{14}}

= c^{-6 - (-16)} \times d^{4 - 14}

= c^{-6 + 16} \times d^{-10}

= c^{10} \times d^{-10}

= \dfrac{c^{10}}{d^{10}}

7 0
2 years ago
A small number of cards has been lost from a complete pack. If I deal among four people, three cards remain. If I deal among thr
Lyrx [107]

there are 19 cards there

6 0
3 years ago
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