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siniylev [52]
3 years ago
11

PLEASE HELP TIMED TEST What is the value of x in the matrix equation below?

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0

Answer:

x = 1

Step-by-step explanation:

Given the matrix;

-2\left[\begin{array}{ccc}x&-1\\3&5\end{array}\right] + \left[\begin{array}{ccc}3&8\\-1&6\end{array}\right] = \left[\begin{array}{ccc}x&10\\-7&-4\end{array}\right]

Converting to equations

From the first row of each matrices

-2x + 3 = x

Collect the like terms

-2x - x = -3

-3x = -3

x = -3/-3

x = 1

Hence the value of x is 1

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5 0
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The area of the city of Vancouver is 115 km^2. if the shape of Vancouver is approximately a square, how wide is the city of Vanc
Dmitry [639]

Answer:

The wide of the city is 10.7km

Step-by-step explanation:

To solve this we first have to know the formula to calculate the area of ​​a square

a = area = 115 km²

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a = s * s

now we replace with the known values

115 km² = s * s

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Round to the nearest tenth

s = 10.724km = 10.7km

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5 0
3 years ago
The radioactive isotope radium has a half-life of 1,600 years. The mass of a 100-gram sample of radium will be______ grams after
Olenka [21]
To solve this we are going to use the half life equation N(t)=N_{0} e^{( \frac{-0.693t}{t _{1/2} }) }
Where:
N_{0} is the initial sample
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t_{1/2} is the half life of the substance
N(t) is the remainder quantity after t years 

From the problem we know that:
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Lets replace those values in our equation to find N(t):
N(200) =100e^{( \frac{(-0.693)(200)}{1600}) }
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N(200)=91.7

We can conclude that after 1600 years of radioactive decay, the mass of the 100-gram sample will be 91.7 grams.

8 0
3 years ago
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irakobra [83]
Answer choice D, A,B, and C both equal 3.
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3 years ago
Read 2 more answers
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