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GaryK [48]
3 years ago
12

Simplify the algebraic expression y²+11y-6y+y²

Mathematics
2 answers:
Radda [10]3 years ago
8 0

Answer:

2y^2 + 5y

Step-by-step explanation:

the two y squared add up to 2 y squared

11y - 6y = 5y

lubasha [3.4K]3 years ago
3 0
The simplified expression should be y^4 + 17y
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A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 − x 2 . What are the dimensions
kherson [118]

Answer:

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Width =

Height =

Width =√10 and Height = \frac{10}{4}

Step-by-step explanation:

Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)

are (h,k) and (-h,k).

Hence, the area of the rectangle will be (h + h) × k

Therefore, A = h²k ..... (2).

Now, from equation (1) we can write k = 5 - h² ....... (3)

So, from equation (2), we can write

A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}

For, A to be greatest ,

\frac{dA}{dh} =0 = 10h-4h^{3}

⇒ h[10-4h^{2} ]=0

⇒ h^{2} =\frac{10}{4} {Since, h≠ 0}

⇒ h = ±\frac{\sqrt{10} }{2}

Therefore, from equation (3), k = 5 - h²

⇒ k=5-\frac{10}{4} =\frac{10}{4}

Hence,

Width = 2h =√10 and

Height = k =\frac{10}{4}.

8 0
2 years ago
Could some please help me with this?
disa [49]
C: 20 m/s


Explanation:
Distance run: 1000m
Time passed: 50s
Distance divided by time equals speed.

1000m / 50s = 20 m/s
8 0
2 years ago
Read 2 more answers
Evaluate:<br> <img src="https://tex.z-dn.net/?f=32%5E%7B-%20%5Cfrac%7B2%7D%7B5%7D%20%7D%20%3Cbr%3E%3Cbr%3E%3Cbr%3E%3Cbr%3E%3Cbr%
shutvik [7]
32^{- \frac{2}{5} }  =  ( \frac{1}{32}) ^{ \frac{2}{5} } = ( \frac{1}{32} )^{ \frac{1}{5} *2}  =  [ ( \frac{1}{32}) ^{ \frac{1}{5} } ]^{2}  =  ( \sqrt[5]{ \frac{1}{32} } ) ^{2}  =  ( \sqrt[5]{ \frac{1}{2}*  \frac{1}{2} *  \frac{1}{2} *  \frac{1}{2} *  \frac{1}{2}   } )^{2} = ( \frac{1}{2} )^{2}   answer 

<span>the notebook
</span>(32)^{-  \frac{2}{5} }  =  ( \sqrt[5]{ \frac{1}{32} } )^{2}  = ( \frac{1}{2}  )^{2} =  \frac{1}{4}<span>

</span>
3 0
2 years ago
I need help asap!! before 2:25 please and thank youu!!
Lena [83]

Answer:

B. (2, -1)

Step-by-step explanation:

Take tracing paper and mark the origin and point m. Rotate 90 degrees clockwise around the origin. Point m will be at (2, -1).

7 0
2 years ago
What is (7x)(2+5-10)
algol13
Simplify (2+5-10) and then it's -3 and then (7x)(-3) = -21
5 0
3 years ago
Read 2 more answers
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