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3 years ago

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:

Question (a)

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)

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

Question (b)

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. 1. 3x - 10 = -21 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

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3 years ago

Find |37|. 0 -37 37 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