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enot [183]
3 years ago
5

The length of the pencil is 8x + 2 and length of pen is 4x + 1. Find the difference between their lengths.

Mathematics
2 answers:
Ahat [919]3 years ago
4 0
4x+1

explanation in the photo

kirill [66]3 years ago
3 0

Answer:

4x + 1

Step-by-step explanation:

(8x + 2) - (4x + 1)

subtract the terms that are common,,

8x-4x=4x

2-1=1

therefore, it would be 4x + 1

if you need more help with these, feel free to sub to gauthmath on subreddit

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B) 24/35

Step-by-step explanation:

Cos(X)= Adjacent/Hypotenuse

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2 years ago
Enter a number that correctly completes the following statement
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17 Units away from the origin? Moving (12,5) left 12 times, then down 5
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3 years ago
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velikii [3]

Answer:

RS/VU=ST/UT and ∠S≅∠U

Step-by-step explanation:

we know that

The <u>Side-Angle-Side Similarity Theorem </u>states that: If two sides in one triangle are proportional to two sides in another triangle and the included angle in both are congruent, then the two triangles are similar

In this problem the included angle is

∠S≅∠U

therefore

side RS must be proportional to side VU  and side ST must be proportional to side UT

so

RS/VU=ST/UT

<em>Verify</em>

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6 0
3 years ago
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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?
professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let x\cdot y = 18, we get an additional equation by implicit differentiation:

x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0 (1)

From the first equation we find that:

x = \frac{18}{y} (2)

By applying (2) in (1), we get the resulting expression:

\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0 (3)

y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}

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If we know that y = 6 and \frac{dy}{dt} = 8, then the first derivative of x in time is:

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From (1) we determine the value of x at this instant:

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x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)

x = -6\cdot \left(\frac{-4}{8} \right)

x = 3

The value of x at this instant is 3.

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3 years ago
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Answer:

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