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4 years ago

Complete the multiplication: 2EA

Mathematics

2 answers:

Lady bird [3.3K]4 years ago

8 0

In mathematics, a matrix (plural matrices) is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

Given that

E = [ 1 2]

A = | 3 0|

| 2 -1 |

2EA = 2 [1 2] | 3 0|

| 2 -1 |

2EA = [ 14 -4]

Basile [38]4 years ago

7 0

Answer:

$\left[\begin{array}{ccc}14&-4\end{array}\right]$

Step-by-step explanation:

To find out the matrix 2EA we multiply EA first and then multiply it by 2

E= $\left[\begin{array}{ccc}1&2\end{array}\right]$

A= $\left[\begin{array}{ccc}3&0\\2&-1\end{array}\right]$

To get EA , multiply 1 and 2 with 3 and 2= 3+4=7

multiply 1 and 2 with 0 and -1= -2

EA= $\left[\begin{array}{ccc}7&-2\end{array}\right]$

Now we multiply 2 with EA

So matrix becomes

2EA= $\left[\begin{array}{ccc}14&-4\end{array}\right]$

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Find the two numbers that have a difference of 3 and a sum of 27.

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12 and 15

15-12=3
15+12=27

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3 years ago

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L.B Jhonson middle school held a track and field event during the school year. The chess club sold various drink and snack items

forsale [732]

Answer:

$5.50

Step-by-step explanation:

you start by taking 2673 and then you have to divide that 486 and when you do that you get 5.5. Since that question states that each club sold each item for the same price then each item was sold for five dollars and fifty cents.

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3 years ago

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Select two options.

Elanso [62]

Answer:

2 and 5

Step-by-step explanation:

The slope-intercept form of a line is y=mx-b where m is slope and b is y-intercept.

The point-slope form of a line is y-y1=m(x-x1) where m is the slope and (x1,y1) is a point on the line.

The standard form a line is ax+by=c.

So anyways parallel lines have the same slope.

So if we are looking for a line parallel to 3x-4y=7 then we need to know the slope of this line so we can find the slope of our parallel line.

3x-4y=7

Goal: Put into slope-intercept form

3x-4y=7

Subtract 3x on both sides:

-4y=-3x+7

Divide both sides by -4:

$y=\frac{-3}{-4}x+\frac{7}{-4}$

Simplify:

$y=\frac{3}{4}x+\frac{-7}{4}$

So the slope of this line is 3/4. So our line that is parallel to this one will have this same slope.

So we know our line should be in the form of $y=\frac{3}{4}x+b$ .

To find b we will use the point that is suppose to be on our new line here which is (x,y)=(-4,-2).

So plugging this in to solve for b now:

$-2=\frac{3}{4}(-4)+b$

$-2=-3+b$

$3-2=b$

$b=1$

so the equation of our line in slope-intercept form is $y=\frac{3}{4}x+1$

So that isn't option 1 because the slope is different. That was the only option that was in slope-intercept form.

The standard form of a line is ax+by=c and we have 2 options that look like that.

So let's rearrange the line that we just found into that form.

$y=\frac{3}{4}x+1$

Clear the fractions because we only want integer coefficients by multiplying both sides by 4.

This gives us:

$4y=3x+4$

Subtract 3x on both sides:

$-3x+4y=4$

I don't see this option either.

Multiply both sides by -1:

$3x-4y=-4$

I do see this as a option. So far the only option that works is 2.

Let's look at point slope form now.

We had the point that our line went through was (x1,y1)=(-4,-2) and the slope,m, was 3/4 (we found this earlier).

y-y1=m(x-x1)

Plug in like so:

y-(-2)=3/4(x-(-4))

y+2=3/4 (x+4)

So option 5 looks good too.

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3 years ago

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Tanner is picking three varieties of apples at an orchard: Gala, Fuji, and Jazz. Each type of apple has a different cost per pou

Makovka662 [10]

Answer:

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Step-by-step explanation:

Let

Gala = g ; Fuji = f ; jazz = j

g + f + j = 5.16 - - - (1)

j = g + f - - - (2)

From (1):

g + f + g + f = 5.16

2g + 2f = 5.16 - - - (3)

Total pound picked by Tanner = 12

3 Pounds of g ; 5 pounds of f

j = 12 - (5 +3) = 4 pounds

3g + 5f + 4j = 21.24 - - - (4)

3g + 5f + 4(g + f) = 21.24

3g + 5f + 4g + 4f = 21.24

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How can you use the point-slope form of a line when only given two points?

pshichka [43]

Answer:

See below

Step-by-step explanation:

Point -slope form is:

y - y1 = m(x - x1)

By having one set of coordinates and knowing the value of the slope (m in the equation) you can use the form.

How to find the slope?

Here you need 2 points: Point 1 with coordinates x1, y1 and point 2 with the coordinates x2, y2

Use the formula:

m = (y2-y1)/(x2-x1)

Example:

m = -5, and one of the points has coordinates (9, 2) then point-slope form is:

y - 2 = -5(x - 9)

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3 years ago