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Taya2010 [7]
4 years ago
6

Ming drew a triangle. The sum of the angles of the triangle is 180º.

Mathematics
1 answer:
Veronika [31]4 years ago
6 0

Answer: The second matrix

If we want to write a proper matrix to represent the given system of equations, we have to arrange it in order:

a+b+c=180

2a-b+0c=0

4a+0b-c=-5

After this, we can write the matrix with the coefficients of each equation:

\left[\begin{array}{ccc|c}1&1&1&180\\2&-1&0&0\\4&0&-1&-5\end{array}\right]

Being this, the matrix that represents the measure of each angle in Ming's triangle

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Which of the x-values are solutions to the following inequality? x< 100 Help ASAP
netineya [11]

Answer:

x = - infinity to 99

Step-by-step explanation:

The values of x must less than 100.

3 0
3 years ago
Iodine-125 has a daily decay rate of about 1%. How many milligrams of a 500 mg sample will remain after 300 days? Round the answ
Amanda [17]
So.. in this case, the starting amount is the 500mg sample... and the rate of decay, negative rate, is 1%, and at the time, the elapsed days is 0, to t = 0, P = 400

\bf \qquad \textit{Amount for Exponential change}\\\\
A=P(1\pm r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{starting amount}\to &500\\
r=rate\to 1\%\to \frac{1}{100}\to &0.01\\
t=\textit{elapsed period}\to &300\\
\end{cases}
\\\\\\
A=500(1-0.01)^{300}
7 0
3 years ago
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Find the value of the<br> numerical expression.<br> 43 x 41 x 42
saw5 [17]

Answer:

74046 is the correct answer

6 0
2 years ago
DUDE IVE BEEN ASKIN FOR HELP FOR AWHILE PLEASE HELP I BEG OF U I WILL DO ANYTHING EXTRA POINTS WHATEVER
Mars2501 [29]

Answer:

i can help with a littel bit of it

Step-by-step explanation:

1. answer

29±95‾‾‾√9

x

=

−

2

9

±

95

i

9

=−0.222222+1.08298

x

=

−

0.222222

+

1.08298

i

=−0.222222−1.08298

x

=

−

0.222222

−

1.08298

i

Find the Solution for:

92+4+11=0

9

x

2

+

4

x

+

11

=

0

using the Quadratic Formula where

a = 9, b = 4, and c = 11

=−±2−4‾‾‾‾‾‾‾‾√2

x

=

−

b

±

b

2

−

4

a

c

2

a

=−4±42−4(9)(11)‾‾‾‾‾‾‾‾‾‾‾‾√2(9)

x

=

−

4

±

4

2

−

4

(

9

)

(

11

)

2

(

9

)

=−4±16−396‾‾‾‾‾‾‾‾‾√18

x

=

−

4

±

16

−

396

18

=−4±−380‾‾‾‾‾√18

x

=

−

4

±

−

380

18

The discriminant 2−4<0

b

2

−

4

a

c

<

0

so, there are two complex roots.

Simplify the Radical:

=−4±295‾‾‾√18

x

=

−

4

±

2

95

i

18

=−418±295‾‾‾√18

x

=

−

4

18

±

2

95

i

18

Simplify fractions and/or signs:

=−29±95‾‾‾√9

x

=

−

2

9

±

95

i

9

which becomes

=−0.222222+1.08298

x

=

−

0.222222

+

1.08298

i

=−0.222222−1.08298

2. Answer:

=−38±895‾‾‾‾√40

x

=

−

3

8

±

895

i

40

=−0.375+0.747914

x

=

−

0.375

+

0.747914

i

=−0.375−0.747914

x

=

−

0.375

−

0.747914

i

3. Answer:

=0=−74

x

=

0

x

=

−

7

4

=0

x

=

0

=−1.75

Find the Solution for

82+14+0=0

8

x

2

+

14

x

+

0

=

0

using the Quadratic Formula where

a = 8, b = 14, and c = 0

=−±2−4‾‾‾‾‾‾‾‾√2

x

=

−

b

±

b

2

−

4

a

c

2

a

=−14±142−4(8)(0)‾‾‾‾‾‾‾‾‾‾‾‾√2(8)

x

=

−

14

±

14

2

−

4

(

8

)

(

0

)

2

(

8

)

=−14±196−0‾‾‾‾‾‾‾√16

x

=

−

14

±

196

−

0

16

=−14±196‾‾‾‾√16

x

=

−

14

±

196

16

The discriminant 2−4>0

b

2

−

4

a

c

>

0

so, there are two real roots.

Simplify the Radical:

=−14±1416

x

=

−

14

±

14

16

=016=−2816

x

=

0

16

x

=

−

28

16

=0=−74

x

=

0

x

=

−

7

4

which becomes

=0

x

=

0

=−1.75

i hope this helps

8 0
3 years ago
Identify the terms of the coefficients of the expression. 8x-20y-10
baherus [9]
The terms of this expression would be 8x,-20y, and -10. The coefficients are the numbers in front of the variable so they would be 8 and 20 because they are accompanied by a variable.
3 0
4 years ago
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