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expeople1 [14]
3 years ago
10

Simplify(3 square root 3 x square root 5 square root of 3)Square root of negative two

Mathematics
1 answer:
Assoli18 [71]3 years ago
8 0

Answer:

9√10 (nine square root ten)

Step-by-step explanation:

(3√3  .√5.√3.)√2

= (3√3*3.√5)√2

=(3*3.√5)√2

=(9√5) √2

=9√5*2

=9√10

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Quadrilateral JKLM is graphed with vertices at J(-2,2), K(-1,-5), L(4,0), and M(3,7).
AveGali [126]

Answer:

<u>Question (a)</u>

Midpoint of a line segment:

M=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)

Given:

  • J = (-2, 2)
  • L = (4, 0)

\implies \textsf{midpoint of }JL=\left(\dfrac{-2+4}{2},\dfrac{2+0}{2}\right)=(1,1)

Given:

  • M = (3, 7)
  • K = (-1, -5)

\implies \textsf{midpoint of }MK=\left(\dfrac{3-1}{2},\dfrac{7-5}{2}\right)=(1, 1)

<u>Question (b)</u>

Find slopes (gradients) of JL and MK then compare.  If the product of the slopes of JL and MK equal -1, then JL and MK are perpendicular.

\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}

Given:

  • J = (-2, 2)
  • L = (4, 0)

\implies \textsf{slope of }JL=\dfrac{0-2}{4+2}=-\dfrac13

Given:

  • M = (3, 7)
  • K = (-1, -5)

\implies \textsf{slope of }MK=\dfrac{-5-7}{-1-3}=3

\textsf{slope of }JL \times \textsf{slope of }MK=-\dfrac13 \times3=-1

Hence segments JL and MK are perpendicular

4 0
2 years ago
If tan = 12/5 and cos = -5/13, then what is sin?
Over [174]

9514 1404 393

Answer:

  sin -12/13

Step-by-step explanation:

You can use the identity ...

  tan = sin/cos

to solve for sine:

  sin = cos·tan

  sin = (-5/13)(12/5) =

  sin -12/13

4 0
3 years ago
I dont know what the answer is help please?
Brrunno [24]

Answer:

its A

Step-by-step explanation:

5 0
3 years ago
Answer for x.<br><br> 1. 3x - 10 = -21<br><br> 2. -22 - 4x = 12
ra1l [238]

Answer:

3x - 10 = -21

add 10 on both side

3x-10+10=-21+10

3x=-11

divide both side by 3

3x/3=-11/3

x=-11/3

Step-by-step explanation:

2. -22 - 4x = 12

add 22 on both side

-22+22-4x=12+22

-4x=36

divide both side by -4

-4x/-4=36/-4

c=-9 is your answer

4 0
3 years ago
Find |37|.<br> 0<br> -37<br> 37<br><br><br><br> i have 3 minutes to finish HELPP :(
valentina_108 [34]
It’s -37! | this means the opposite of the number ;)
6 0
2 years ago
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