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3 years ago

Please answer the two questions please!!

Mathematics

2 answers:

DanielleElmas [232]3 years ago

4 0

100 = 1 x 10^2

6,000 = 6 x 10^3

valentina_108 [34]3 years ago

4 0

#1 the answer is 1*10^2

Because 10*1=10 and then 10*10=100

#2 THE ANSWER IS 6*10^3

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The students at Woodward elementary voted for school mascot. The falcon won with 5/8 of the votes. If 536 students voted for a m

drek231 [11]

The answer equals 335

3 0

4 years ago

Question 5 (5 points)

Tpy6a [65]

Answer:

The solution of the system of equations is, (1,-1,2)

Step-by-step explanation:

Given system equation;

x + 5y - 3z = -10

-5x + 6y – 5z = -21

-x + 8y - 8z = -25

Matrix form is written as;

$\left[\begin{array}{ccc}1&5&-3\\-5&6&-5\\-1&8&-8\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}-10\\-21\\-25\end{array}\right] \\\\\\det. = 1\left[\begin{array}{cc}\\6&-5\\8&-8\end{array}\right] -5\left[\begin{array}{cc}\\-5&-5\\-1&-8\end{array}\right] -3\left[\begin{array}{cc}\\-5&6\\-1&8\end{array}\right] \\\\\\det. = 1(-8) -5(35)-3(-34)= -8 - 175+ 102 = -81$

Cofactor;

$First \ row \left[\begin{array}{cc}+\\ 6&-5\\\ 8&-8\end{array}\right \left\begin{array}{cc}-\\ -5&-5\\-1&-8\end{array}\right \left\begin{array}{cc}+\\-5&6\\-1&8\end{array}\right] = [-8 \ \ -35 \ \ -34]\\\\\\\ Second \ row \left[\begin{array}{cc}-\\ 5&-3\\\ 8&-8\end{array}\right \left\begin{array}{cc}+\\ 1&-3\\-1&-8\end{array}\right \left\begin{array}{cc}-\\1&5\\-1&8\end{array}\right] = [16\ \ -11 \ \ -13]\\\\\\$

$Third \ row \left[\begin{array}{cc}+\\ 5&-3\\\ 6&-5\end{array}\right \left\begin{array}{cc}-\\ 1&-3\\-5&-5\end{array}\right \left\begin{array}{cc}+\\1&5\\-5&6\end{array}\right]= [-7 \ \ 20\ \ 31]$

$Cofactor =$ $\left[\begin{array}{ccc}-8&-35&-34\\16&-11&-13\\-7&20&31\end{array}\right]$

$inverse \ matrix =-\frac{1}{81} \left[\begin{array}{ccc}-8&16&-7\\-35&-11&20\\-34&-13&31\end{array}\right] \\\\\\$

Solution of the matrix:

$\left[\begin{array}{c}x\\y\\z\end{array}\right] = -\frac{1}{81} \left[\begin{array}{ccc}-8&16&-7\\-35&-11&20\\-34&-13&31\end{array}\right] X \left[\begin{array}{c}-10\\-21\\-25\end{array}\right] = \left[\begin{array}{c}\frac{-8*-10 }{-81 } +\frac{16*-21 }{-81 } + \frac{-7*-25 }{-81 }\\\\\frac{-35*-10 }{-81 } +\frac{-11*-21 }{-81 }+ \frac{20*-25 }{-81 }\\\\\frac{-34*-10 }{-81 }+ \frac{-13*-21 }{-81 }+ \frac{31*-25 }{-81 }\end{array}\right] \\\\\$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] = \left[\begin{array}{c}\frac{-81}{-81} \\\\\frac{81}{-81} \\\\\frac{-162}{-81} \end{array}\right] = \left[\begin{array}{c}1\\-1\\2\end{array}\right]$

Therefore, the correct option is (1,-1,2)

5 0

3 years ago

Please help me thanks

Mariulka [41]

The answer is D.

Since the two triangles are congruent, they would have equal angles.

The reason why the other answer choices are wrong...

A) ∠S is equal to ∠Y, not ∠Z.
The angle that is equal to ∠Z is ∠T.

B) Line ST is equal to Line YZ, not Line XZ.
The Line that is equal to Line XZ is Line RT.

C) Line RS is equal to Line XY, not Line ST.
The Line that is equal to Line ST is Line YZ.

Hope this helped! Brainliest is always welcome :)

8 0

3 years ago

Carlos has four notes in his wallet: $5, $10, $20 and $50. He takes out two notes at random.

Alex787 [66]

5 and 10
5 and 20
5 and 50
10 and 20
10 and 50
20 and 50
1/4 for 5$
1/4 for 50$

3 0

3 years ago

12. Triangle ABC is shown on the coordinate plane. If it is translated 4 units to the left and 3

Aloiza [94]

Answer:

Sorry about that I didn't read the question correctly but the answer is B.

Step-by-step explanation:

All you are doing is moving the points 4 units to the left and 3 units up. Hope this helped! :)

8 0

3 years ago