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ZanzabumX [31]
3 years ago
7

Which rule gives the same relationship between x and y as x + y = 6?

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0

x + y = 6

relationship: x = 6 -y or y = 6-x

so answer: c. y = 6 - x

show work:

x + y = 6

subtract x to both sides

x + y -x = 6 -x

simplify

y = 6-x

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Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is
Reptile [31]

Answer:

4\sqrt{17}

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}

Now, using the distance formula we have:

d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }

y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7

So we have two points (-1, -9) and (3, 7) so:

d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}

Notice both equations gave the same length 4\sqrt{17}.

5 0
3 years ago
Daniel spent 3 hours babysitting for his brother. He and the children played games for 1 3/4 hours and watched television for 1/
____ [38]

Answer:

He spent 3/4 of an hour reading stories

Step-by-step explanation:

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8 0
2 years ago
Simplify the expression below. Then classify the resulting expression
evablogger [386]

Answer:

Simplified = 5

Classification = Monomial

Step-by-step explanation:

<h2>PART I: Simplify the expression</h2>

<u>Given expression:</u>

 3x² + 6x + 5 - 3x (2 + x)

<u>Expand parenthesis by distributive property:</u>

= 3x² + 6x + 5 - 3x (2) - 3x (x)

= 3x² +6x + 5 - 6x - 3x²

<u>Put like terms together:</u>

= 3x² - 3x² + 6x - 6x + 5

= 0 + 0 + 5

= \boxed{5}

<h2>PART II: Classify polynomial</h2>

<u>Concept:</u>

Polynomial is classified by the number of terms a polynomial has.

  • Monomial: a polynomial with only one term
  • Binomial: a polynomial with two terms
  • ...

<u>Classify the given expression:</u>

Original = 3x² + 6x + 5 - 3x (2 + x)

Simplified = 5

5 is a constant and it has only one term

Therefore, it is a <u>monomial</u>.

Hope this helps!! :)

Please let me know if you have any questions

3 0
1 year ago
Read 2 more answers
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vlabodo [156]

Step-by-step explanation:

25x ratio

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5 0
2 years ago
find the length of the base of a square pyramid if the volume is 1,024 cubic inches and has a height of 12 inches. (6 points) 4
Leokris [45]
To solve, we use the volume of a square pyramid formula which is expressed as the product of the area of the base (a²) and the height divided by three(h/3).

Volume = a² (h/3)
1024 in³ = (a²) (12 in/3)
a² = 1024 in³ · 3 /12
a = √256 in²
a = 16 in

Thus, the length of the base is 16 in.

5 0
3 years ago
Read 2 more answers
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