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saw5 [17]
3 years ago
14

Someone plz help me with this

Mathematics
1 answer:
Phoenix [80]3 years ago
8 0

Answer:

5y^{6}\sqrt{2}

Step-by-step explanation:

We want to  simplify:

\sqrt{50y^{12}}

We rewrite as:

\sqrt{2\times25 \times (y^{6})^2}

We split the radical sign to obtain:

\sqrt{25} \times \sqrt{(y^{6})^2} \times \sqrt{2}

Simplify the square root for the perfect squares to get:

5y^{6}\sqrt{2}

Therefore the simplified form is: 5y^{6}\sqrt{2}

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Write the equation of the line that is the perpendicular bisector of the segment with endpoints (4, 1) and (2, -5)
Sedbober [7]

Answer:   \bold{y=-\dfrac{1}{3}x-1}

<u>Step-by-step explanation:</u>

(4, 1) & (2, -5)

First, find the slope (m) and then the perpendicular (opposite reciprocal) slope:

m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\\m=\dfrac{-5-1}{2-4} = \dfrac{-6}{-2}=3\quad \rightarrow \quad m_{\perp}=-\dfrac{1}{3}\\

Next, find the midpoint of (4, 1) and (2, -5):

Midpoint=\bigg(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{4+2}{2},\dfrac{1-5}{2}\bigg)\\\\\\.\qquad \qquad=\bigg(\dfrac{6}{2},\dfrac{-4}{2}\bigg)\\\\\\.\qquad \qquad=(3, -2)

Lastly, input the perpendicular slope and the midpoint into the Point-Slope formula to find the equation of the line:

y - y_1 = m_{\perp}(x - x_1)\\\\y - (-2) = -\dfrac{1}{3}(x - 3)\\\\y + 2=-\dfrac{1}{3}x +1\\\\y =-\dfrac{1}{3}x - 1\\


6 0
3 years ago
There are 110 students in the 6th grade band and 120 students in the 7th grade band. Of the students, 60% of the 6th grade band
r-ruslan [8.4K]

Answer:

36 more students of grade 7 went on a trip than students of grade 6

Step-by-step explanation:

60 % of 110 students= 60/100*110= 66 students

85 % of 120 students= 85/100 * 120= 102 students

No of students of grade 7th more than 6th grade students= 102-66= 36

6 0
3 years ago
60% of Herbert's movies are adventure movies. He has 18 adventure movies. How many movies does Herbert have in all?
Vera_Pavlovna [14]
Data:
x (Number of movies) = ?


\frac{60}{100} *x = 18
0,6x = 18
x =  \frac{18}{0,6}
\boxed{x = 30}

Answer:
<span>Herbert have in all ?
30 movies</span>
5 0
3 years ago
What one is divisible by 9 is it 115,504,968,646 or 882
ra1l [238]
Your answer is 9 is in the hundred thousands place because it is 9 hundred and sixty eight thousand and six hundred and foutry six.
5 0
3 years ago
Asap<br> It is for past paper that is due in tomorrow 29th
love history [14]

Answer:

(i) 22.5

(ii) 7.2

Step-by-step explanation:

(i)

AB:PQ = 2:5 = 1:2.5

So PQ is 2.5 times longer than AB.

PQ=2.5AB=(2.5)9=22.5

(ii):

Since the triangles are similar, their sides are in ratio to each other. So if PQ was 2.5 times longer than AB, QR must also be 2.5 times longer than BC:

QR=2.5BC

BC=QR/2.5=18/2.5=7.2

7 0
3 years ago
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