Show that each property of matrices is true for all 2 by 2 matrices scalar distributive

1. Write a numerical expression for the phrase “twelve groups of the sum of fourteen and 10.”

Rom4ik [11]

The expression for five groups of a number added to seventeen.

Let the number be X
Five groups of the number will be 5X
The required expression will be
5(X) +17

6 0

4 years ago

What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60

Amanda [17]

The answer is: " x = 105.41 " .

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Explanation:

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Given: " 24 log (3x) = 60 " ; Solve for "x" .

The default is to assume "base 10" for the "logarithm".

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Start by dividing each side of the equation by "24" ;

→ [ 24 log(3x) ] / 24 = 60 / 24 ;

to get:

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log (3x) = 2.5 ;

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Rewrite as: log₁₀ (3x) = 2.5 ;

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Using the property of logarithms:

⇔ 10⁽²·⁵⁾ = 3x ;

↔ 3x = 10⁽²·⁵⁾ ;

→ 10^ (2.5) = 316.2277660168379332 ;

→ 3x = 316.227766016837933 ;

Divide each side of the equation by "3" ;

to isolate "x" on one side of the equation;

and to solve for "x" ;

→ 3x / 3 = 316.2277660168379332 / 3 ;

to get:

→ x = 105.4092553389459777333 ;

→ round to 2 (two) decimal places;

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→ " x = 105.41 " .

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Hope this helps!

Best wishes to you!

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8 0

3 years ago

The graph of which of the following equations contains the points (2,3) and (3,2)

Crazy boy [7]

Answer:

$y = 5 - x$

Step-by-step explanation:

The graph of the equation that will contain the points (2, 3) and (3, 2) is the graph that has a slope value that is equivalent to the slope value of the line running through the two points.

Slope of the line running through (2, 3) and (3, 2):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 3}{3 - 2} = \frac{-1}{1} = -1$ .

Slope (m) = -1.

The equation, $y = 5 - x$ , is given in the slope-intercept form, which means it has a slope value of -1. I.e. the term "-x" is equivalent to -1x. So therefore, the graph of the equation that contains the points (2, 3) and (3, 2) is $y = 5 - x$ .

5 0

3 years ago

Find the area of a rectangle that has a length of 4.6 in. and a width of 3.4 in.

AlexFokin [52]

Answer:

15.64 Step-by-step explanation: I used a calculator

6 0

3 years ago

The ticket price for an ice hockey match used to cost £19.60. The price has now increased by 12.5%. How much will 2 tickets cost

Amanda [17]

Answer:

The 2 tickets will cost £44.10 after the increase.