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3 years ago

Solve the system of linear equations using the matrix method. What do X and Y equal?

Mathematics

2 answers:

Virty [35]3 years ago

7 0

Answer:

The matrix method is basically making the matrix in the picture equal to

{1 0 = x}

{0 1 = y}

To do this you must multiply reciprocals and add opposites to make 2x = 1, 7y = 0, 3x = 0, and -12y = 1.

I used the simple way of solving linear equations:

3(2x + 7y = 48)

-2(3x - 12y = 27)

6x + 21y = 144

-6x + 24y = -42

45y/45 = 102/45

y = 34/15 or 2.26667

Plug in y-value to get x-value:

2x + 7(34/15) = 48

- 7(34/15) -7(34/15)

2x = 482/15

2x/2 = 482/15/2

x = 241/15 or 16.06667

iren [92.7K]3 years ago

6 0

Algebra - Basic Definitions

A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y. A number on its own is called a Constant.

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Which expression is equivalent to −34÷(−8 1/2)?

vesna_86 [32]

Answer: 4

Step-by-step explanation:

7 0

3 years ago

Olivia has made a pyramid model for her history project at school. The pyramid model has a square base. Each triangular side of

Tresset [83]

Answer:

278 square centimeters

Step-by-step explanation:

You need to use the Pythagorean Theorm. If you're pyramid is a perfect square, then to the middle the length is 5. Because 10/2 is 5. You then use the Pythagorean Theorm (a^2 + b^2 =c^2) to find the side length of the traingle. When you square the hypotenuse and subtract the bottom leg sqaured, you are left with 3.46274054 after square rooting it. (c^2-a^2=b^2) Plug these into the equation for a right, rectangluar pyramid. You then get 277.9, rounded, is 278.

Hope this helps!

3 0

2 years ago

The distane from the spice island to lisbon is 11431 nautical miles and it took magellan and took his crew 100 days to reach Lis

natulia [17]

Answer:

114.31 nautical miles per day

Step-by-step explanation:

Use formula

$S=v\cdot t,$

where S is the distance, t is time and v is rate.

If S=11431 nautical miles and t=100 days, then

$v=\dfrac{11431}{100}=114.31\ \text{nautical miles per day}.$

8 0

4 years ago

Please help me with this one question, and I'll upvote the brainliest answer

ra1l [238]

Answer: " x = 12 " .

________________________________________________

Step-by-step explanation:

________________________________________________

<u>Note</u>: If 2 (two) triangles are "similar" ; then their corresponding sides are "proportional".

________________________________________________

Since one of the sides [the "hypotenuse"] of one the triangles given ; shows the measurement containing an expression with a value of "x" — specifically; " 6x + 28 " ;

→ And since we want to solve for the value of "x" ; we use this "hypotenuse" of said particular triangle to set up a "proportion" with corresponding sides; so we can solve for "x" :

→ Set up proportions as a "ratio" ; or fraction:

→ 7:28::25:(6x + 28) ; Solve for "x" ;

Let us write this in the form of a "fraction" :

→ $\frac{7}{28} = \frac{25}{(6x+28)}$ ;

________________________________________________

<u>Note</u>:

→ Rewrite: " $\frac{7}{28}$ " ; by simplifying to:

" $\frac{1}{4}$ " ;

________________________________________________

→ Since: " $\frac{7}{28}$ " ;

= " (7÷7) / (28÷7) " ;

= " (1 /4) " ;

= " $\frac{1}{4}$ " .

________________________________________________

Now, rewrite the "proportion" ; as follows:

________________________________________________

$\frac{1}{4} = \frac{25}{(6x+28)}$ ;

________________________________________________

Now: "Cross multiply" ; that is:

______________________________________

→ Given: " $\frac{a}{b} = \frac{c}{d}$ " ;

and: " b $\neq$ 0 " ; " d $\neq$ 0 " ;

→ Then: " a * d " = " b * c " .

________________________________________________

Likewise: " 1(6x + 28) = (4) * (25) " ;

______________________________________________

SImplify: " 6x + 28 = 100 " ; Solve for "x" ;

→ Subtract "28" from each side of the equation:

→ " 6x + 28 - 28 = 100 - 28 " ;

to get: → " 6x = 72 " ;

Now, divide each side of the equation by: " 6 " ;

to isolate "x" on one side of the equation; & to solve for "x" ; as follows:

→ " 6x = 72 " ;

→ 6x / 6 = 72 / 6 ;

to get:

→ " x = 12 " ;

→ which is the answer.

______________________________________________

Hope this helps!

Best wishes in your academic pursuits

— and within the "Brainly" community!

______________________________________________

5 0

3 years ago

Identify the shape of the distribution, and (b) determine the five-number summary. Assume that each number in the five-numbe

Marat540 [252]

1. The shape of the distribution is: B. skewed left.

2. he five-number summary is: 0, 14, 17, 18, 20.

<h3>What is Left-skewed Distribution?</h3>

If the data distribution that is represented by a box plot is left-skew (negatively skewed), the median will appear closer to the third quartile (Q3) of the box plot. The median is at the point where a vertical line divides the box into two.

Part 1: The box plot shows that the median is close to the third quartile, therefore, the shape of the distribution is described as: B. skewed left.

Part 2: The five-number summary include:

Min. value = 0

Q1 = 14

Median = 17

Q3 = 18

Max. value = 20.

Learn more about left-skewed distribution on:

brainly.com/question/15759915

#SPJ1

4 0

2 years ago